Regulatory Guide 5.21: Difference between revisions

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{{Adams
{{Adams
| number = ML13064A082
| number = ML003739991
| issue date = 04/30/1974
| issue date = 12/31/1983
| title = Nondestructive Uranium-235 Enrichment Assay by Gamma-Ray Spectrometry
| title = (Task SG 044-4), Revision 1, Nondestructive Uranium-235 Enrichment Assay by Gamma Ray Spectrometry
| author name =  
| author name =  
| author affiliation = US Atomic Energy Commission (AEC)
| author affiliation = NRC/RES
| addressee name =  
| addressee name =  
| addressee affiliation =  
| addressee affiliation =  
Line 10: Line 10:
| license number =  
| license number =  
| contact person =  
| contact person =  
| document report number = RG-5.021
| document report number = RG-5.21, Rev 1
| document type = Regulatory Guide
| document type = Regulatory Guide
| page count = 7
| page count = 10
}}
}}
{{#Wiki_filter:April 1974 U.S. ATOMIC ENERGY COMMISSION
{{#Wiki_filter:Revision 1 December 1983 U.S. NUCLEAR REGULATORY COMMISSION
REGULATORY GU I D E
REGULATORY GUIDE
DIRECTORATE OF REGULATORY STANDARDS
OFFICEOF NUCLEAR REGULATORY RESEARCH
REGULATORY GUIDE 5.21 NONDESTRUCTIVE URANIUM-235 ENRICHMENT ASSAY
REGULATORY GUIDE 521 (Task SG 0444)
BY GAMMA-RAY SPECTROMETRY
NONDESTRUCTIVE URANIUM-235 ENRICHMENT ASSAY  
BY GAMMA RAY SPECTROMETRY


==A. INTRODUCTION==
==A. INTRODUCTION==
Section 70.51, "Material Balance, Inventory, and Records Requirements," of 10 CFR Part 70, "Special Nuclear Material,"  
Section 70.51, "Material Balance, Inventory, and Records Requirements," of 10 CFR Part 70, "Domestic Licensing of Special Nuclear Material," requires, in part, that licensees authorized to possess and use at any one time more than one effective kilogram of special nuclear material (SNM)  
requires, in part, that licensees authorized to possess at any one time more than one effective kilogram of special nuclear material (SNM)
determine the inventory difference (ID) and its associated standard error (estimator) of inventory difference (SEID)  
determine the material unaccounted for (MUF) and its associated limit of error (LEMUF) for each element and the fissile isotope for uranium contained in material in process. Such a determination is to be based on measurements of the quantity of the element and of the fissile isotope folr uranium.
for each element and the fissile isotope for uranium con tained in material in process. Such a determination is to be based on measurements of the quantity of the element and of the fissile isotope for uranium.


The majority of measurement techniques used in SNM accountability are specific to either the element or the isotope but not to both. A combination of techniques is therefore required to determine the MUF
The majority of measurement techniques used in SNM  
and LEMUF by element and by fissile isotope for
accountability are specific to either the element or the isotope but not to both. A combination of techniques Is therefore required to determine the ID and SEID by element  
'uranium.
.2 and by fissile isotope for uranium.


Passive gamma-ray spectrometry is a
Passive gamma ray spectrometry is a nondestructive method for measuring the enrichment or relative concentration of the fissile isotope  
nondestructive ýmethod for measuring the enricdment, or relative concentration, of the fihuile isotope U-235- in uranium. As such, this technique is used in conjunction with an assay for the element uranium in order to determine the amount of U-235.
2 3 5U in uranium, but this technique is used in conjunction with an assay for the element uranium in order to deter mine the amount of 235 U.


This guide details conditions for an acceptable U-235 enrichment measurement using gamma-ray spectrometry, and prescribes procedures for operation, calibration, error analysis, and measurement control.
This guide describes conditions for 235U enrichment measurements using gamma ray spectrometry that are acceptable to the NRC staff and provides procedures for operation, calibration, error analysis, and measurement control.' Examples of 2 3SU enrichment assays using port able and in-line instruments based on the techniques out lined in this guide may be found in References 1 through 4.


. DISCUSSION
Any guidance in this document related to information collection activities has been cleared under OMB Clearance No. 3150-0009.
The alpha decay of U-235 to Th-231 is accompanied by the emission of a prominent gamma ray at 185.7 keV
(4.3 x 104 of these 185.7-keV gamma rays are emitted per second per gram of U.235). The relatively low energy and consequent low penetrating power of these gamma rays implies that most of those emitted within the interior of the material are absorbed within the material itself. These thick ' materials therefore exhibit a 185.7-keV gamma ray activity which approximates the activity characteristic of an infinite medium: i.e., the activity does not depend on the size or dimensions of the .material. Under these conditions, the 185.7-keV
activity is directly proportional to the U-235 enrichment. A measurement of this 185.7-keV activity with a suitable detector forms the basis for an enrichment measurement technique.


The thickness of the material with respect to the mean free path of the 185.7-keV gamma ray is the primary characteristic which determines the applicability of passive gamma-ray spectrometry for the measurement of isotope enrichment. The enrichment technique is applicable only if the material is thick. However, in addition to the thickness of the material, other conditions must be satisfied before the gamma-ray enrichment technique can be accurately applied. An approximate analytical expression for the detected
Calibration error analysis, and measurement control are dis cussed in Regulatory Guide 5.53, "Qualification, Calibration, and Error Estimation Methods for Nondestructive Assay." A proposed revision to this guide has been issued for comment as Task SG 049-4.
185.7-keV activity is given below. This expression has been separated into several individual terms in order to aid in identifying those parameters which may interfere with the measurement. Although approximate, 'this relationship can be used to estimate the magnitude of interfering effects in order to establish limits on the range of applicability and to determine the associated uncertainties introduced into the measurement. This relationship is:
'Thick"  
and -thin" am used throughout this guide to refer to distances in relation to the mean free path of the 185.7 keV gammn ray in the material under consideration. The mean free path is the I/e-folding distance of the gamma-ray flux or, in other terms,'.the average distance a gamma ray traverses before interacting.


USAEC REGULATORY GUIDES
==B. DISCUSSION==
Copies of pub" Id Sui*es my be obtained by request Indicating the division desired to the US. Atomic Energy Commission., WhIngon, DZC. 20546, Regulatory Guides ae issued to describe and make maildable to the public Attention: Director of Regulatory Steondaerd. Comments snd suggetions for mnthods acceptable to the AEC Regulatory staff of Implementing speciffic pats of Imlwovaetlr;s In theme guides en and id'ould be sent to tdw Secretary
1. BASIS FOR GAMMK.RAY MEASUREMENT OF URA
'the Commission's regulations, to de*lls
NIUM ENRICHMENT
-
The alpha decay of 2 3 5U to 2 3 1Th Is accompanied by the emission of a prominent gamma ray at 185.7 keV
dwli usd by V.w staff in of the Commission. US. Atomic Energy Commission. Washington. D.C. 2M346.
(4.3 x 104 of these 185.7-keV gamma rays are emitted per second per gram of 2 3 5 U). The relatively low energy and consequent low penetrating power of these gamma rays implies that most of the rays that are emitted in the interior of the sample are absorbed within the material Itself. Thick2 materials therefore exhibit a 185.7-keV
gamma ray emission characteristic of an infinite medium;
Le., the 185.7-keV gamma flux emitted from the sample surface does not depend upon the size or dimensions of the material. Under these conditions the 185.7-keV
intensity Is directly proportional to the U enrichment.


evaluating spiedfii problems or postuletiodLa:ements, or to provide guidene to Attention: Chief. Public PrFt rnis Staff.
A measure of this 185.7-keV intensity with a suitable detector forms the basis for an enrichment measurement technique.


appllmnst. Rogulatory Guides ar, not substitutes fo reguletlohss and c pllanes with them is not required. Methods and tolutios dlast frosm diw a ull mt in Th guides ae issued I. tht following ten brood divisic.:
The thickness of the material with respect to the mean free path of the 185.7-keV gamma ray is the primary characteristic that determines the applicability of passive gamma ray spectrometry for the measurement of isotope enrichment. The measurement technique is applicable only If the material Is thick. However, in addition to the thickness of the material, other conditions must be satisfied before the gamma ray measurement technique can be accurately applied. An approximate analytical expression for the detected 185.7-keV activity is given below. This expression has been separated into several indi vidual terms to aid in identifying those parameters that may interfere with the measurement. Although approximate, this relationship can be used to estimate the magnitude of
the guides will be acoosoehie' If they provide a both for the fInidis guu*l*t, to the isuance or continuance of a permit or lianso by the Commission.
2 The terms "thick" and "thin" are used throughout this guide to refer to distances in relation to the mean free path of the. I5.7-keV
gamma ray in the material under consideration. The mean free path Isthe I/e-foldlng distance of the gamma ray flux or, in other terms, the average distance a gamma ray traverses before Interacting.


===1. Power Reactors ===
USNRC REGULATORY GUIDES
Comments should be sent to the Sectetary of the Commission, U.S. Nuclear Regulatory Commission. Washington, D.C. 20555, Regulatory Guides are Issued to describe and make available to the Attention: Docketing and Service Branch.


===6. Products===
public methods acceptable to the NRC staff of Implementing specific parts of the Commission's regulations, to delineate tech- The guides are Issued In the following ten broad divisions niques used by the staff In evaluating specific problems or postu lated accidents or to provide guidance to applicant
2.


Research end Teot Reactors
====s. Regulatory ====


===7. Transportation===
===1. Power Reactors ===
3.
6. Products Guides are noR substitutes for regulations, and compliance with
2. Research and Test Reactors
7. Transportation them Is not required. Methods and solutions different from those set
3. Fuels and Materials Facilities
8. Occupational Health out in the guides will be acceptable If they provide a basis for the
4. Environmental and Siting
9. Antitrust and Financial Review findings requisite to the issuance or continuance of a permit or
5. Materials and Plant Protection 10. General license by the Commission.


Fuels end Materials Fac1lit1is
Copies of issued guides may be purchased at the current Government This guide was Issued after consideration of comments received from Printing Office price. A subscription service for future guides in spe the public. Comments and suggestions for Improvements In these cific divisions is available through the Government Printing Office.
8.


Occupational Health Published quides will be revised perlodicallv, as appropriat
guides are encouraged at all times, and guides will be revised, as Information on the subscription service and current GPO prices may appropriate, to accommodate comments and to reflect new Informa- be obtained by writing the U.S. Nuclear Regulatory Commission, tion or experience.


====e. to accommodate ====
Washington, D.C. 20555, Attention: Publications Sales Manager.
4. Environmental and Shing
9.


Antitrust Review commenn and to reflect new information or exparien.
interfering effects in order to establish limits on the range of applicability and to determine the associated uncer tainties introduced into the measurement. This relationship is:
effective source of 185.7-keV
gamma raysfseen by the detector
""=
( u A +W
-..
£ (Q/47r) exp(-pclicd) (1)
?
i uuj, I
A
,,a enrich- physical riea]
otrica container ment constants Composi- efficiency absorption don I
area defined detector by collimator efficiency material with a characteristic length called the critical distance xo, where x is defined as the thickness of material that produces 99.5 percent of the measured 185.7-keV
activity:
where x0 = -A ln(0.005) = S.29A
'/A= 1UPU + z Pipi I
(2)
(3)
Calculated values of xo for several common materials are given in Table 1.


5. Maerials and Plant Protectloo
Where Table 1I
1
C = detected 185.7-keV activity E = enrichment of the uranium (<I)
PU,
Pi, PC= density of. the uranium (U), matrix material (i), and container wall (c), respectively, in g/cm 3
11U'
PC = mass attenuation coefficient for 185.7-keV
gamma rays in uranium (U), matrix material (i), and container wall (c) in cm 2 /g a = specific 185.7-keV gamma ray activity of
2 3 sU
= 4.3 x 104 gamma rays/sec-g
= net absolute detector full energy peak effi ciency for detecting 185.7-keV gamma rays
(<
1)
= solidanglesubtendedby the detector(SI < 2ir)
A = cross-sectional area of material defined by the detector collimator d = container wall thickness A derivation of this expression, as well as other necessary background information on the theory of enrichment mea surements, may be found in Reference 5. As evident in Equation 1, the activity (C) is proportional to the enrich ment (E) but is affected by sqveral other characteristics as well.


===0. General===
2. MATERIAL AND CONTAINER WALL EFFECTS ON
MEASUREMENT
2.1 Material Thickness In order for Equation 1 to be applicable, the material must be sufficiently thick to produce strong attenuation of
185.7-keV gamma rays. To determine whether this criterion is met, it is useful to compare the actual thickness of the CALCULATED VALUES OF x AND MATERIAL
COMPOSITION fERM
Critical Density Distance Material (g/cm 3 )
x0 (cm)
U (metal)
UF
6 UO
U A 8 Urany


Effective source of 185.7.-ceV
====l. Nitrate====
pmrm rays men by the detector C
E (a/tu)
A [I +
e (fa/4ir) e-PcIcd enrichmftnt detecor container efecien/c absorption Physical are material geometrical constants defined by composition efficiency collimator
(1)
where Pu,pi,pc AuAi, A
C = detected 185.7-keV activity E = enrichment of the uranium (. -1)
= density of the uranium (u), matrix material (i), and container wall (c), respectively, in (g/cm 3)
c = mass attenuation coefficient for 185.7-keV gamma rays in uranium (u), matrix material (i), and container wall (c) in units of (cm 2/g)
a = specific 185.7-keV gamma ray activity of U-235
= 4.3 x 104 gamma rays/sec-g e = net absolute detector full energy peak efficiency for detecting
185.7-keV gamma rays (< 1)
E2 = solid angle subtended by the detector (11 < 2w)
A = cross-sectional area of material defined by the detector collimator d = container wall thickness A derivation of this expression, as well as other necessary background information relevant to this guide, may be found in the literature. 2 As evident in Eq. 1, the activity (C) is proportional to the enrichment (E)
'but is affected by several other characteristics as well.
 
Material Thicknm Effects In order for Eq. 1 to be applicable, it is necessary that the material be sufficiently thick to produce strong attenuation of 185.7-keV gamma rays. To determine whether this criterion is met, it is useful to compare the actual thickness of the material with a characteristic length xo, where xo is defined as that thickness of material which produces 99.5% of the measured
185.7-keV activity, i.e.,
Calculated values of xc, the critical distance, for
.
several common materials are givn in Table 1.
 
TABLE 13 Material Density Critical Material (g/cm 3)
Distance Composition xO lcm)
'Term Pi tai
.1 +
2:-
i Pu Mu U (metal)
18.7  
18.7  
4.7
10.9
7.3
2.8
0.20  
0.20  
1.000
UF 6 
4.7
1.08  
1.08  
1.040
U0 2 
10.9
0.37  
0.37  
1,012 U308
7.3
0.56  
0.56  
1.015 Uranyl Nitrate
2.30
2.8
.Values of the mass attenuation coefficient, pa, may be found in References 6 and 7.
2.30  
1.095 Values of the mass attenuation coefficient, A, may be found in J. H. Hubbell, "Photon Cross Sections, Atteniation Coefficients, and Energy Absorption Coefficents From 10 keV
to 100 GeV," NSRDS-NBS 29, 1969.


X0
Other nondestructive assay (NDA) techniques are capable of detecting SNM distributed within a container. The enrich ment measurement technique, however, is inherently a surface measurement. Therefore, the "sample" observed, I.e., the surface, must be representative of all the material in the container. In this respect the enrichment measurement is more analogous to chemical analysis than are other NDA
I n(.005) = 5.29 X
techniques.
where
(2)
(3)
IA = u.u + 7- plip
2 L. A. Kull, "Guldejiws for Gamm&-gray Spectroscopy Measuremente of U-235 Enrichment," BNL-50414, July 1973.


5.21-2
2.2 Material Composition If the gamma ray measurement is to be dependent only on the enrichment, the term related to the composition of the matrix should be approximately equal to one, Le.,
Material Com position Term
1 I
1.000
1.040
1.012
1.015
1.09S
(4)
Pi
~
This condition ensures that the enrichment measurement will be insensitive to variations in the matrix composition.


Note: Other nondestructive, techniques are capable of detecting SNM distributed within. a container. The enrichment technique, however, is inherently a surface measurement. Therefore, the "sample" observed-i.e., the surface, must be representative of all the material in the container. In this respect the enrichment mesurement is more analogous to chemical analysis than other NDA
However, if this matrix term differs significantly from unity, the enrichment measurement can still be performed provided the matrix composition of the standard and samples remains reasonably constant.
techniques.


Material Composition Effeb If the gamma-ray measurement is to be dependent only on the enrichment, the term related to -the composition of the matrix should be approximately equal to one, i.e.,
5.21-2 K.
detector. The fractional change in the measured activity AC/C due to a small change Ad in the container wall thickness can be expressed as follows:
AC--
.=
-ZcPcAd
(5$)
+ pi' L
C.


I;
Calculated values of this quantity for common materials are given in Table 1. The deviations of the numbers in Table I from unity indicate that a bias can be introduced  
li
>
-
by ignoring the difference in material composition.
P A
(4)
Calculted values. of this quantity for common materials are given in Table 1. The deviation of the numbers in Table I from unity indicate that a bias can'
be introduced by ignoring the difference in material composition.


Inhomogeneities in matrix material composition, uranium density, and uranium enridunent within the measured volume of the maierial (as chariterized by the depth xo and the collimated area A) can produce changes in the measured 185.7-keV activity and-affect v-the accuracy of an enrichment calculated on the bais of that activity. There is a small to negligble effect on the measurement accuracy due to variations in the content of low-atomic-number (Z<30) matrix materials. Care should be exercised, however, in applyin this technique to materials having.high-atomro-number matria" (Z>50)
Inhomogeneities in matrix material composition, uranium density, and uranium enrichment within the measured volume of the material (as characterized by the depth xo and the collimated area A) can produce changes in the measured 185.7-keV activity and affect the accuracy of an enrichment calculated on the basis of that activity. Varia tions in the content of low-atomic-number (Z < 30) matrix materials and inhomogeneities in uranium density in such matrix material produce a small to negligible effect on measurement accuracy. Care is necessary, however, in applying this technique to materials having high-atomic number matrices (Z > 50) or materials having uranium concentrations less than approximately 75 percent. Signifi cant inaccuracies can arise when the uranium enrichment itself varies throughout the sample.
or materials having uranium concentuations 1.


than approximately 75%. Inhomogeneities in uraium density will also produce small to negligible effects on the accuracy if the matrix isu of low-atomic-number elements. Sifjkuw inacraeieas cn. a.Ni, howem, when the urnium enrichment itself ce. be expected to vary throughout the sample.
The above conclusions about the effects of inhomogene ities are based on the assumption that the thickness of the material exceeds the critical distance, xo, and that the inhomogeneities exist within this depth. In the case of extremely inhomogeneous materials such as scrap, the condition of sufficient depth may not always be fulfilled or inhomogeneities may exist beyond the depth xo; i.e., the sample is not representative. Therefore, this technique is not applicable to such inhomogeneous materials.


The above , gonclusions about the effects of inhomogeneities are based on the assumption that the thickness of the material exceeds the critical distance, xo, and that the inhomogeneities exist within this depth.
2J
2.3 Container Wall Thickness Variations in the thickness of the container walls can significantly affect the activity measured by the detector.


In the case of extremely inhomogeneous materiah much as scrap, the condition of sufficient depth may not always be fulfllled,-or inhomogeneitiesmay exist beyond the depth xo; i.e., the "sample" is not representative.
The fractional change in the activity AC/C due to a small change Ad in the container wall thickpess can be expressed:
AC =_* lPcPcAd
(5)
Calculated values of AC/C corresponding to a change in container thickness Ad of 0.0025 cm for common con tainer materials are given in Table 2.


Therefore, this technique is not applicable to such inhomogeneous materials.
Table 2 CALCULATED VALUES OF AC/C
Density AC
Material (g/cm*)
C
Steel
7.8 Aluminum
2.7 Polyethylene 0.95
-0.003
-0.0009
- 0.0004 Therefore, the container wall thickness must be known (e~g., by measuring an adequate number of the containers J
before loading). In some cases, an unknown container wall thickness can be measured using an ultrasonic technique after which a simple correction can be applied to the data to account for attenuation of the 185.7-keV gamma rays (see Equation 5). Commercial equipment is available to measure wall thicknesses ranging from about 0.025 to
5.0 cm with relative precisions of approximately 1.0 per cent to 0.1 percent, respectively.


Container Wafl Effects Variations in the thickness of the container walls
Using standardized containers to hold the sample mate rial in order to minimize uncertainties and possible errors associated with container-to-container wall thickness corrections is strongly recommended.
-can significantly affect the activity measured by the Calculated values of AC/C, corresponding to a change in container thickness Ad of 0.0025 cm, for common container materials, are given in Table 2.


TABLE 2 Material Density (g/cm 3l C
3. DETECTOR-RELATED FACTORS
Steel
3.1 Area and Geometrical Efficiency The area of the material viewed by the detector and the geometrical efficiency are variables that may be adjusted, within limits, to optimize a system. Two important factors must be noted:
7.8
1. Once these variables are fixed, changes in these parameters will alter the calibration of the instrument and invalidate subsequent measurement results.
- .003 Aluminum
2.7
- .0009 Polyethylene
0.95
- .0004 Therefore, the container wall thickness should be known, e.g., by measuring an adequate number of the containers before loading. In some cases an unknown container wall thickness can be measured using an ultrasonic technique and a simple correction applied to the data to account for attenuation of the 185.7-keV
gamma rays (see eq. 5). Commercial equipment is available to measure wall thicknesses ranging from about
0.025 to 5.0 cm to relative accuracies of approximately
1.0% to 0.1%, respectively.


Area and Geometrical Efficiency The area of the material viewed by the detector and the geometrical efficiency are variables which may be adjusted, within limits, to optimize a system. It is important to be aware that once these variables are fixed, changes in these parameters will affect the results of the measurement.
2. The placement of the material within the container will affect the detected activity. It is important that there are no void spaces between the material and the container wall.


It is also important to note that the placement of the material within the container will affect the detected activity. The 'material should fill the volume of the container to a certain depth, leaving no void spaces between the material and the container wall.
3.2 Net Detector Efficiency Thallium-activated sodium iodide, Nal(TI), lithium-drifted germanium, Ge(Li), and high-purity germanium, HPGe (also referred to as intrinsic germanium, IG), detectors have been used to perform these measurements. The detection systems are generally conventional gamma ray spectrometry systems that are commercially available in modular or single-unit construction. Some useful guidelines for the procurement and setup of a solid-state-detector-based system are given in Regulatory Guide 5.9, "Specifications for Ge(Li) Spectros copy Systems for Material Protection Measurements." 3 Factors that influence detector selection and the control required for accurate results are discussed below.


Net Deteetw Bffidncy Thallium-activated sodium iodide, NaI(T1),
3.2.1 Background
scintillationw detectors and lithium-drifted germanium, Ge(LI), solid-state detectors have been used to perform these measurements. The detection systems are generally conventional gamma-ray spectrometry systems presently commercially available in modular or single-unit construction.
3.2.1.1 Compton Background. This background is pre dominantly produced by the 765-keV and lO01-keV
gamma rays of 2 34 mPa, a daughter of 2 38 U. Since in most cases the Compton background behaves smoothly in the vicinity of the 185.7-keV peak, it can be readily sub;
tracted, leaving only the net counts in the 185.7-keV
full-energy peak.


5.21,3
3.2.1.2 Overlapping Peaks. The observable peak from certain gamma rays may overlap that of the 185.7-keV peak owing to the finite energy resolution of the detector; i.e.,
3A proposed revision to this guide has been issued for comment as Task SG 042-2 with the title "Guidelines for Germanium Spectros copy Systems for Measurement of Special Nuclear Material."
5.21-3


The following factors influence detector selection and the control required for accurate results.
the difference in energies may be less than twice the full width of the spectrum peak at half its maximum height (FWHM). This problem is common in enrichment measure ments of recently separated uranium from a reprocessing
3lant. The peak from a strong 208-keV gamma ray from
37U (half-life of 6.75 days) can overlap the 185.7-keV
peak when a Nal detector is used. Analytical separation of the two unresolved peaks, i.e., peak stripping, may be applied. An alternative solution is to use a Ge(Li) or HPGe detector so that both peaks are dearly resolved. The2 3U
activity present in reprocessed uranium will depend on the amount of 241pu present before reprocessing and also on the time elapsed since separation.


1.
3.2.1.3 Ambient Background.


Background a.
The third source of background originates from natural sources and from other uranium-bearing materials located in the vicinity of the measuring apparatus. This source can be particularly bothersome since it can vary over time within wide limits depending on plant operating conditions.


Compton Background. This background is predominately produced by'the 765-keV and ICOl-keV
3.2.2 Count-Rate Losses Calculation of the detector count rates for purposes of making dead-time 4 estimates requires calculation of the total count rate, not only that due to 2 3 1U. Total count rate estimates for low-enrichment material must therefore take into account the relatively important backgrounds of gamma rays from 238V daughters. If other radioactive materials are present within the sample, their contributions to the total count rate must also be considered.
gamma rays of Pa-234m, a daughter of U-238. Since, in most cases, the Compton background behaves smoothly in the vicinity of the 185.7-keV peak, it can be readily subtracted, leaving only the net counts in the 185.7-keV
full-energy peak.


b.
Count-rate corrections can be made by determining the dead time or by making measurements for known live-time 4 intervals. The pileup or overlap of electronic pulses is a problem that also results in a loss of counts in the full energy peak for Ge(Li) systems. An electronic pulser may be used to monitor and correct for these losses. However, a more reliable method involves the use of a radioactive source fixed to the detector in an invariant geometry.


Overlapping Peaks. The observable peak from certain gamma rays may overlap that of the 185.7-keV
A photopeak area from the spectrum of this source is counted along with a uranium peak area. The source peak area can then be compared with an earlier value taken without uranium present, and the dead time for the assay measurement can be inferred. (Part of the regular measure ment control would then involve uranium-free measurement of the source peak area.) One possible source could be
peak due to the finite energy resolution of the detector;
2 4 1 Am, whose 60-keV gamma ray peak would be easily resolved from the uranium lines by either a Ge- or Nal-based system. If filtering of ambient low-energy gamma radiation is used, the 24 1 Am source can be placed between the detector and the absorber used for the filtering. If a high resolution system is used, the recommended source for this purpose is 10 9 Cd, which emits only an 88-keV peak, well below the uranium (185.7-keV) region, and has a half-life of 453 days. Radiation that provides no useful information can be selectively attenuated by filters; e.g., a
i.e., the difference in energies may be less than twice the FWHM.
4 "Dead time" refers to that portion of the measurement period during which the instrument Is busy processing data already received and cannot accept new data. "Live time" means that portion of the measurement period during which the instrument can record detected events. To compare different data for which dead times are appreci able, compare counts measured for equal live-time periods, Le.,  
(actual measurement period) - (dead time) = live time.


This problem is common in enrichment measurements of recently separated uranium from a reprocessing plant. The peak from a strong 208-keV
1-mm-thick cadmium filter will reduce x-ray interference, eliminating this source of count-rate losses. Note that present-day counting electronics are capable of handling high negative count rates without significant losses from either pileup or system dead time. However, if a measure ment situation arises in which count rates are excessive, tighter collimation of the opening on the front face of the detector is a simple method for reducing count rates to tolerable levels at which complicated loss corrections are not essential.
gamma ray from U-237 (half-life of 6.75 days)- can overlap the 185.7-keV peak when an Nal detector is used. Analytical separation of the two unresolved peaks, i.e., peak stripping, may be applied. An alternative solution is to use a Ge(Li) detector so that both peaks are clearly resolved.


The U-237 activity ;present in reprocessed uranium will depend on the amount of Pu-241 present before reprocessing and also on the time elapsed since separation.
3.2.3 Instability in Detector Electronics The gain of a photomultiplier tube is sensitive to changes in temperature, count rate, and magnetic field. Provision can be made for gain checks or gain stabilization for enrich ment measurement applications. Various gain stabilizers that automatically adjust the system gain to keep a refer ence peak centered between two preset energy limits are available.


c.
. REGULATORY POSITION
Passive gamma ray spectrometry constitutes a means acceptable to the NRC staff for nondestructively determin ing U enrichment, if the conditions identified below are satisfied.


Ambient Background. The third source of background originates from natural sources and from other uranium-bearing materials located in the vicinity of the measuring apparatus. This last source can be particularly bothersome since it can vary with time within wide limits depending on plot operating conditions.
I. RANGE OF APPLICATION
All material to be assayed under a certain calibration should be of similar chemical form, physical form, homo geneity, and impurity level.


2.
The critical distance o&f the material should be determined.


Count-Rate LoAmes. Calculation of the detector count rates for purposes of making dead time estimates requires that one calculate the total count rate, not only that due to U-235. Total count rate estimates for low-enrichment material must therefore take into account the relatively important background from U-238 gamma rays. If other radioactive materials are present within the sample, their contributions to the total count rate must also be considered.
Only those items of the material having dimensions greater than this critical distance should be assayed by this technique.


Count-rate corrections can be made by determining the dead time or by making measurements for known
The material should be homogeneous in all respects on a macroscopics scale. The material should be homogeneous with respect to uranium enrichment on a microscopics scale.
4 FWHM- full width of the spectrum peak at half its maximum height.


live-time s intervals. The pile-up or overlap of electronic pulses is a problem which also results in a loss of counts in the full-energy peak for Ge(Li) systems. A pulser may be used to monitor and correct for these losses.
The containers should all be of similar size, geometry, and physical and chemical composition.


Radiation which provides, no useful -information can be selectively attenuated by filters; e.g., a one-millimeter- thick cadmium filter will reduce x-ray interference, eliminating this source of count-rate losses.
===2. SYSTEM REQUIREMENTS ===
NaI(TI) scintillation detectors having a resolution of FWHM less than 16 percent at the 185.7-keV peak of 2 3 5 U
are generally adequate for measuring the enrichment of uranium. Crystals with a thickness in the range of 1.3 to
1.8 cm are recommended for optimum efficiency. If other radionuclides that emit significant quantities of gamma radiation in an energy region E = 185.7 keV +/- 2 FWHM at
185.7 keV are present, one of the following should be used:
a. A higher resolution detector, e.g., Ge(Li) or HPGe, or
5lMacroscople refers to distances greater than the critical distance;
microscopic to distances less than thi critical distance.


3.
5.214 I'l K


Instability in Detector Electronics. The gain of a photomultiplier tube is sensitive to changes in temperature, count rate, and magnetic field. Provision can be made for gain checks and/or gain stabilization for enrichment measurement applications.
b. A peak-stripping procedure to subtract the interfer ence. In this case', data 'should be provided to show the range of concentration' of the interfering radionuclide and the accuracy and precision of the stripping technique over this range.


Various gain stabilizers that automatically adjust the system gain to keep a reference peak centered between two preset energy limits are available.
The detection system gain should be stabilized by monitoring a known reference peak.


==C. REGULATORY POSITION==
The system clock should be in live time. The system should provide a means of determining the count-rate losses based on the total counting rate, or provide additional collimation to reduce the count rate.
Passive gamma-ray spectrometry constitutes an acceptable means for nondestructively determining U-235 enrichment, if the following conditions are satisfied:
Range of Application
1.


All material to be assayed under a certain calibration should be of similar chemical form, physical form, homogeneity, and impurity level.
The design of the system should allow reproducible positioning of the detector or item being assayed.


2.
The system should be capable of determining the gamma ray activity in at least two energy regions to allow subtrac tion of the background. One region should encompass
185.7 keV, and the other should be above this region but should not overlap it. The threshold and, width of the regions should be adjustable. If dead-time corrections are measured with a pulser or source peak, a third and fourth region will have to be defined to establish the additional peak area and its background.


The critical distance of the material should be determined.. Only those items of the material having dimensions greater than -this critical distance should- be assayed by this technique.
The system should have provision for filtering out low-energy radiation from external sources.


3. The material should be homogeneous in all respects on a mnacroscopic 6 scale.- The material should be homogeneous'with respect to uranium enrichment' on a microscopic
===3. DATA ACQUISITION ===
-wscale.
Initial preparation of the assay instrumentation for data acquisition should involve careful determination of the system energy gain, the position of key photopeak and background regions, and the instrument response to cali bration. However, after the proper instrument settings are established, routine operation can involve a less detailed check of the peak positions. This verification can consist of either a visual check of the gamma ray spectrum on a multichannel analyzer or a brief scan of the 140- to 200-keV
energy region with a single-channel analyzer. Verification that the 185.7-keV peak position correspondi to its~value at, calibration ensures that the instrument is still biased properly.


4.
Verification of the 185.7-keV count rate with a uranium check source can also demonstrate continued validity of the response calibration. In some cases it may be useful to check the position of two peaks in the tammanray spectrum, in which case a 5 7Co gamma ray source (with a photopeak at 122 keV) would be convenient.


The containers should all be of similar size, geometry, and physical and chemical composition.
If the total counting rate is determined primarily by the
185.7-keY gamma ray, the counting rate should be restricted (e.g., by absorbers or decreased geometrical efficiency)
below those rates requiring correction. The system sensitivity will be reduced by these measures, and, if the sensitivity is no longer adequate, separate calibrations should be made in two or more enrichment regions.


System Requirements I.
To determine the location and width of the 185.7-keV
peak region and the background regions, the energy spectrum from each calibration standard (see Regulatory Position 4, Calibration) should be determined and the position of the 185.7-keV peak and neighboring peaks noted. The threshold and width of each energy region should then be selected to avoid including any neighboring peaks and to optimize the system stability and the signal-to-background ratio.


Nal('I) scintillation detectors having a resolution of FWHM < 16% at the 185.7-keV peak of' U-235 are s"Live time" means that portion of the measurement period during which the instrument can record detected events.
The net response attributed to 185.7-keV gamma rays should be the accufnulated counts in the peak region minus a multiple of the counts accumulated in a nearby back ground region. A single upper background region may be monitored, or both a region above the peak region and one below may be monitored. If only an upper background region is monitored, the net response, R, is giyen by R - G abB.


Dead time refers to that portion of the measurement period during which the instrument is busy processing data already recehed anldcannot accept new dat
where G and B are the gross counts in the peak region and the background region, respectively, and b is the multiple of the background to be subtracted. This net response, R,
should then be proportional to the enrichment, E:
E =CIR - C(G - bB)
where C1 is a calibration constant to be determined (see Regulatory Position 4, Calibration). The gross counts, G
and B, should be measured for all the standards. The quantities G/E should then be plotted as a function of the quantities B/E anda straight line through the data determined:
G/E =b(B/E) + I/C1 The slope of this line is b, the multiple of the upper back ground region to be subtracted. The data from all the standards should be used in determining this slope.


====a. in order to compare====
If both an upper and a lower background are monitored, the counts in each of these regions should be used to determine a straight-line fit to the background. Using this straight-line approximation, the area or number of counts under this line in the peak region should be subtracted from the gross counts, G, to obtain the net response. An adequate technique based on this principle Is described in Reference 8.
6fferent data for which dead times are appreciable, one must compare counts measured for equal live-time periods.


(actual measurement period) - (dead time) = live ,time
On a number of recently developed portable gamma ray spectroscopy instruments, these calibration procedures can be performed automatically by means of a microprocessor based computational capability built into the instrument or by a calculator. In such cases, the more reliable procedure of complete calibration of the instrument before each assay session may be practical.
6 Macroscopic refers to distances greater than the critical distance; miuoscopic to distances les than the critical distance.


5.21-4
===4. CALIBRATION ===
Calib&#xfd;ation 6 standards should be obtained by:
1. Selecting items from the production material. A
group of the items selected should, after determination of
6 'None of the calibration techniques or data reduction procedures discussed precludes the use of automated direct-readout systems for operation. The procedures described In this guide should be used for adjustment and calibration of direct-readout instruments.


generally adequate for measuring the enrichment of uranium containing more than the natural (0.71%)
5.21-5
abundance of U-235. Crystals With a thickness of ~- 1.25 cm are recommended for optimum efficienc


====y. If other====
the gamma ray response, be measured by an independent, more accurate technique, e.g., mass spectrometry, that is traceable to or calibrated with National Bureau of Standards (NBS) standard reference material. The other items should be retained as working standards.
-1- radionuclides Which emit significant quantities of gamma radiation in an energy region E = 185.7 keV +/- 2 FWHM
at 185.7 keV are present:
a.


A higher-resolution detector. e.g., Ge(Li),
2. Fabricating standards that represent the material to be assayed in chemical form, physical form, and impurity level. The 235U enrichment of the material used in the fabrication of the standards should be determined by a technique, e.g., mass spectrometry, that is traceable to or calibrated with NBS standard reference material.
should be used, or b.


A peak stripping procedure should be used to subtract the interference. In this case, data should be provided to. show the range of concentration of -the interfering radionuclide, and the accuracy and precision of the stripping technique over this range.
The containers for the standards should have a geometry, dimensions, and a composition that approximate the mean of these parameters in the containers to be assayed. However, it should be emphasized that the best procedure is to standardize the, sample containers to minimize, if not eliminate, container-to-container differences.


2.
3. The values of enrichment for the calibration standards should span the range of values encountered in normal operation. No less than three separate standards should be used. (Good calibration practice dictates the use of at least two standards to determine the linear calibration constants and a third standard to check the calibration computations.)
However, if the assay response (after application of appro priate corrections) can be shown to be highly linear and to have zero offset (i.e., zero response for zero enrichment),
it may be more advantageous to avoid using standards with low enrichment because the low count rates would reduce the calibration precision. In such a case, calibration in the upper half of the range of expected enrichments combined with the constraint of zero response for zero enrichment can produce a higher precision calibration than a fitting of standard responses over the full range of expected enrich ments, including values at low enrichment. If such a cali bration procedure is used, careful initial establishment of the zero offset and instrument linearity, followed by occasional verification of both assumptions, is strongly recommended. Such verification could be accomplished by an occasional extended measurement of a low-enrichment standard. It should be noted that if the measurement system exhibits a nonzero offset (i.e., a nonzero response for zero sample enrichment), this is an indication of a background problem that should be corrected before assays are performed.


The detection system gain should be stabilized by monitoring a known reference peak.
Each standard should be measured at a number of different locations, e.g., for a cylinder, at different heights and rotations about the axis. The mean of these values should be used as the response for that enrichment. The dispersion in these values should be used as an initial estimate of the variance due to material and container inhomogeneity.


3. The system should measure live time or provide a means of determining the count-rate losses based on the total counting rate.
In general, the data from the standards, i.e., the net responses attributed to the 185.7-keV gamma rays from the known uranium enrichments, can be employed in a simple linear calculation of the two calibration constants as described in Appendix 3 of Reference 5. If desired, more involved least-squares techniques can also be used.


4.
S. OPERATIONS
. The measurement of enrichment involves counting the
185.7-keV gamma ray intensity from an infinite thickness of uranium-bearing material in a constant counting geometry.


Design of the system should allow reproducible positioning of the detector or item being assayed..
A schematic of the counting geometry is given in Figure 1.
5. The system should be capable of determining the gamma-ray activity in at least two energy regions to allow background subtraction. One region should encompass 185.7 keV, and the other region should be above this but not overlapping. The threshold and width of the regions should be adjustable.


6.
The detector should be collimated and shielded from ambient radiation so that, as much as possible, only the radiation from the sample container is detected.


The &#xfd;system should have provisions for filtering low-energy radiation which could interfere with the
The detection system and counting geometry (i.e.,
185.7-keV or background regions.
collimator opening area, A, and collimator depth, x), the data reduction technique, and the count-rate loss corrections, if included, should be Identical to those used in the calibration.


Data Reduction I. if the total counting rate is determined primarily by the 185.7-keV gamma ray, the counting rate should be restricted (absorbers, decreased geometrical efficiency)
Data from all measurements should be recorded in an appropriate log book.
below those rates requiring correction. The system sensitivity will be reduced by these measures and, if no longer adequate,' separate calibrations should be made in two or more enrichment regions.


Ifrthe total counting rate is determined primarily by events other than those due to 185.7-keV gamma rays, counting rate corrections should be made.
At least two working standards should be measured during each eight-hour operating shift. The measured response should be compared to the expected response (value used in calibration) to determine if the difference exceeds three times the expected standard deviation. 7 If this threshold is exceeded, measurements should be repeated to verify that the response is significantly different and that the system should be recalibrated. In the event of a significant change in the instrument response, every effort should be made to understand the underlying cause of the change and, if possible, to remedy the cause rather than simply calibrate around the problem.


2. To determine the location and width of the
Prior to counting, all containers should be agitated. If this is not possible, the material should be mixed by some method. One container from every ten should be measured at two different locations on the container. The others may be measured at only one location. (If containers are scanned to obtain an average enrichment, the degree of inhomogeneity should still be measured by this method.)
185.7-keV peak region and the background region(s),
The difference between the measurements at different locations on the container should be used to indicate a lack of the expected homogeneity. If the two responses differ by more than three times the expected standard devia-
the energy spectrum from each calibration standard (see Calibration, next section) should be determined and the position of the 185.7-keV peak and neighboring peaks noted. The threshold and width of each energy region should then be selected to avoid including any neighboring peaks, and to optimize the system stability and the signal-to-background ratio.
tion (which should include the effects of the usual or expected inhomogeneity), measurements should be repeated to verify the existencen of an abnormal inhomogeneity. If the threshold is exceeded, the container should be rejected and investigated to determine the cause of the abnormal inhomogeneity.8 The container should be viewed at such a position that an infinite thickness of material fills the field of view defined by the collimator and detector (see Figure 1). The procedure for determining the fill of the container should be recorded, e.g., by visually inspecting at the time of filling and recording on the container tag.


3.
7The user can always have a stricter criterion. This is a minimum.


The net response attributed to 185.7-keV gamma rays should be the accumulated counts in the peak region minus a multiple of the counts accumulated in a nearby background region(s). A single upper background region may be monitored or both a region above the peak region and one below may be monitored.
SThe difference may also be due to a large variation in wall thickness.


If only an upper background region is monitored, the net response, R, should be given by R = G-bB
5.21-6 K
where G and B are the gross counts in the peak region and the background region, respectively, and b is the multiple of the background to be subtracted. This net response, R, should then be proportional to the enrichment, E, given by E = C, R = C, (G-bB)
where C, is a calibration constant to be determined (see Calibration, next section). The gross counts, G and B,
should be measured for all the standards. The quantities G/E should then be plotted as a function of the quantities B/E and the slope of a straight line through the data determined. This slope is b, the multiple of the upper background region to be subtracted, i.e..
G/E = b(B/E) + I/CI
The data from all the standards should be used in determining this slope.


If both an upper and a lower background are monitored, the counts in each of these regions should be used to determine a straight line fit to the background.
SCHEMATIC OF ENRICHMENT MEASUREMENT
SETUP
FIGURE 1 A schematic of a typical detector/collimator arrangement for a uranium enrichment measurement. The collimator depth (crucial in the calibration of the enrichment instrument) is denoted by x, the distance from the container surface to the collimator opening by r, and the container wall thickness by d. As long as an infinite thickness of assay material is contained
2 in the field of view of the detector, the distance r is not crucial. However, the preferred enrichment measurement setup is with the collimator opening in contact with the container surface (i.e., r = 0).
5.21-7
(


Using this straight line approximation, the area or number of counts under this line in the peak region should be subtracted from the gross counts, G. to obtain the net response. An adequate technique based on this principle is described in the literature.
The container wall thickness should be measured. The wall thickness and location of the measurement should be indicated if the individual wall thickness measurements and the gamma ray measurement are made at this location. If the containers are nominally identical, an adequate sampling of these containers should be sufficient. The mean of the measurements on these samples constitutes an acceptable measured value of the wall thickness that may be applied to all containers of this type or category.


Calibration s
The energy spectrum from a process item selected at random should be used to determine the existence of unexpected interfering radiations and the approximate magnitude of the interference. This test should be per formed at a frequency that will ensure testing:  
1. Calibration standards should be obtained by:
1. At least one item in any new batch of material.
a.


Selecting items from the production material. A
2. At least one item if any changes in the material processing occur.
group of the items selected should, after determination G. Gunderson, 1. Cohen, M. Zucker, "Proceedings: 13th Annual Meeting, Institute of Nuclear Materials Management,"
Boston, Mass. (1972) p. 221.


" None of the calibration techniques or data reduction procedures exclude the use of automated direct-readout systems for operation. The procedures described in this guide should be used for adjustment and calibration of direct-readout instruments.
3. At least one item per two-month period.


5.21-5
If an interference appears, either a higher resolution detector should be acquired or an adequate peak-stripping routine applied. In both cases, additional standards that include the interfering radiations should be selected and the system should be recalibrated.


of the gamma-ray response, be measured by an independent, more accurate technique traceable to, or calibrated with, NBS standard reference material, e.g.,
No item should, be assayed if the measured response exceeds that of the highest enrichment' standard by more than twice the standard deviation in the response from this standard.
mass spectrometry. The other items should be retained as working standards.


b.
6. ERROR ANALYSIS,
A regression or analysis-of-variance technique should be used to determine the uncertainty in the calibration con stants.


Fabricating standards which represent the material to be assyed in chemical form, physical form, homogeneity, and impurity level. TheU-235 enrichment of the material used in the fabrication of the standards should be determined by a technique traceable to, or calibrated with, NBS standard reference material, e.g.,
The measurement-to-measurement variance should be determined by periodically observing the net response from the standards and repeating measurements on selected process items. Each repeated measurement should be made at a different location on the container surface, at different times of the day, and under different ambient conditions.9 The standard deviation should be determined and any trends (e.g., trends due to time or temperature) corrected for.
mass spectrometry.


2.
The item-to-item variance due to the variation in wall thickness should be determined. The variance in the con tainer wall thickness should be determined from measure ments of the sample container wall thickness, either during the course of the assays or from separate measurements of randomly selected samples. The computed variance in the samples should be used as the variance of wall thickness.


The containers for the standards should have a geometry, dimensions, and composition which approximate the mean of these parameters in the containers to be assayed.
This variance should be multiplied by the effect of a unit variation in that thickness on the measured 185.7-keV (see, e.g., Table 2) response to determine its contribution to the total measurement variance.


3.
Item-to-item variations other than those measured, e.g.,
wall thickness, should be determined by periodically (see guidelines in Regulatory Position 5) selecting an item and determining the enrichment by an independent technique traceable to, or calibrated with, NBS standard reference material. A recommended approach is to adequately sample and determine the 2 3SU enrichment by calibrated mass spectrometry. In addition to estimating the standard devia tion of these comparative measurements, the data can also be used to verify the continued stability of the instrument calibration. If any significant deviation of the calibration is noted from these comparisons, the cause of the change should be identified before further assays are performed.


The values of enrichment for the calibration standards should span the range of values encountered in normal operation. No less than three separate standards should be used.
9The variance due to counting (including background) and the variance due to lnhomogenelty, ambient conditions, etc., will be included In this measurement-to-measurement variance.


4.
K1
5.21-8 K
K


Each standard should be measured at a number of different locations, e.g., for a cylinder, at different heights and rotations about the axis. The mean of these values should be used as the response for that enrichment. The dispersion in these values should be used as an initial estimate of the error due to material and container inhomogeneity.
REFERENCES
1. R. B. Walton et al., "Measurements of UF 6 Cylinders with Portable Instruments," Nuclear Technology, Vol. 21, p. 133, 1974.


5.
2. T. D. Reilly et al., "A Continuous In-Line Monitor for UF Enrichment," Nuclear Technology, Vol. 23, p. 318,
19A4.


The data from the standards, i.e., the net response attributed to 185.7-keV gamma rays and the known uranium enrichment, should be used to determine the constants in a calibration function by a weighted least-squares technique.
3. P. Matussek and H. Ottmar, "Gamma-Ray Spectrom etry for In-Line Measurements of 2 3 5 U Enrichment in a Nuclear Fuel Fabrication Plant," in Safeguarding Nuclear Materials, IAEA-SM-201/46, pp.223-233, 1976.


Operations
Available from the International Atomic Energy Agency, UNIPUB, Inc., P.O. Box 433, New York, New York
1. The detection system and counting onometry (collimator and container-to-detector distance) should be identical to those used in calibration.
10016.


2. The data reduction technique and count-rate loss corrections, if included, should be identical to those used in calibration.
4. R. B. Walton, "The Feasibility of Nondestructive Assay Measurements in Uranium Enrichment Plants," Los Alamos Scientific Laboratory, LA-7212-MS,  
1978.


3.
5. L. A. Kull, "Guidelines for Gamma-Ray Spectroscopy Measurements of
2 3 sU Enrichment,"
Brookhaven National Laboratory, BNL-50414, March 1974.


Data from all measurements should be recorded in an appropriate log book.
6. J. H. Hubbell, "Photon Cross Sections, Attenuatim Coefficients, and Energy Absorption Coefficients from  
10 keV to 100 GeV," National Bureau of Standards, NSRDS-NBS 29, 1969.


4.
7. E. Storm and H. I. Israel, "Photon Cross Sections from
.001 to 100 MeV.for Elements I through 100," Los Alamos Scientific Laboratory, LA-3753, 1967.


At least two working standards, should be measured during each eight-hour operating shift. The measured response should be&#xfd; compared to the expected response (value used in calibration) to determine if the difference exceeds three times the expected standard deviation. If this threshold is exceeded, repeat measurements should be made to verify that the response is significantly different and that the system should be recalibrated.
8. G. Gunderson and M. Zucker, "Enrichment Measure ment in Low Enriched 2 3 SU Fuel Pellets," in "Proceed ings:
13th Annual Meeting," Journal of the Institute of Nuclear Materials Management, Vol. 1, No. 3, p. 221,  
1972.


5.
BIBLIOGRAPHY
Alvar, K., H. Lukens, and N. Lurie, "Standard Containers for SNM
Storage, Transfer, and Measurement,"
U.S.


All containers should be agitated, or the material mixed in some manner, if possible, prior to counting.
Nuclear Regulatory Commission, NUREG/CR-1847, 1980.


One container from every ten should be measured at two different locations. Other items may be measured at only one position. (If containers am scanned to obtain an average -enrichment, the degree of inhomogeneity should still be measured by this method.)
Available through the NRC/GPd Sales Program, U.S.
The difference between the measurements at different locations should be used to indicate a lack of the expected homogeneity. If the two responses differ by more than three times the expected standard deviation (which should include the effects of the usual or expected inhomogeneity),
repeat measurements should be made to verify that an abnormal inhomogeneity exists. If the threshold is exceeded, the container should be rejected and investigated to determine the cause of the abnormal inhomogeneity. 9
6.


In the event that all containers are not filled to a uniform height, the container should be viewed at a position such that material fills the entire volume viewed by the detector. The procedure for determining the fill of the container should be recorded' e.g., by visual inspection at the time of filling and recording on the container tag.
Nuclear Regulatory Commission, Washington, D.C. 20555.


7. The container wall thickness should be measured.
This report describes the variations of container properties (especially wall thicknesses) and their effects on NDA measurements. A candidate list of standard containers, each sufficiently uniform to cause less than 0.2 percent variation in assay results, is given, along with comments on the value and impact of container standardization.


The wall thickness and location of the measurement should be indicated, if individual wall thickness measurements are made, and the gamma-ray measurement made at this location. If the containers are nominally identical, an adequate sampling of these containers should be representative. The mean of the measurements on these samples constitutes an acceptable measured value of the wall thickness which may be applied to all containers of this type or category.
Augustson, R. H., and T. D. Reilly, "Fundamentals of Passive Nondestructive Assay of Fissionable, !Material,"
Los Alamos Scientific Laboratory, LA-5651-M, Albuquerque, New Mexico, 1974.


8.
This report contains a wealth of information on nondestructive assay techniques and their asso ciated instrumentation and has an extensive treatise on gamma ray enrichment measurements.


The energy spectrum from a process item selected at random should be used to determine the existence of unexpected interfering radiations and the approximate magnitude of the interference. The frequency of this test should be determined by the following guidelines:
Sher, R., and S. Untermeyer, "The Detection of Fission able Materials by Nondestructive Means," American Nuclear Society Monograph, La Grange Park, Illinois, 1980.
a.


At leat one item in any new batch of material.
This 1Iook contains a helpful overview of a wide variety of nondestructive assay techniques, including enrichment measurement by gamma ray spectrometry. In addition, it contains a rather extensive discussion of error estimation, measure ment control techniques, and measurement statistics.


b.
5.21-9


At ieast one item if any chanps in the material procesing occur.
VALUE/IMPACT STATEMENT


c. At least one item per material balance period.
===1. PROPOSED ACTION ===
1.1 Description Licensees authorized to possess at any one time more than one effective kilogram of special nuclear material (SNM)
are required in &sect; 70.51 of 10CFR Part 70 to determine the inventory difference (ID) and the associated standard error (SEID) for each element and the fissile isotope of uranium contained in material in process. The determination is made by measuring the quantity of the element and of the fissile isotope for uranium.


If an interference appears, either a higher-resolution detector must be acquired or an adequate peak stripping routine applied. In both cases additional standards which include the interfering radiations should be selected and the system recalibrated.
It is not usually possible to determine both element and isotope with one measurement. Therefore, a combina tion of techniques is required to measure the SNM ID and the SEID by element and by fissile isotope. Passive gamma ray spectroscopy is a nondestructive method for measuring the relative concentration of the fissile isotope 2 3 5 U in uranium. This technique is then used in conjunction with an assay for the element uranium to determine the amount of 2 3 5 U.


The difference nmy also be due to a large variation in wall thickness.
Regulatory Guide 5.21 describes conditions for 23SU
enrichment measurements using gamma ray spectroscopy that are acceptable to the NRC staff. The proposed action will revise the guide to conform to current usage and to add information on the state of the art of this technique.


Il
1.2 Need The proposed action is needed to bring Regulatory Guide 5.21 up to date.
5.21-6


9.
1.3 Value/Impact Assessment
1.3.1 NRC Operations The experience and improvements in technology that have occurred since the guide was issued will be made available for use in the regulatory process. Using these updated techniques should have no adverse impact.


No item should be assayed if the mesured response exceeds that of the highest enrichment standard by more than tvice the standard deviation in the reponse from this standard.
1.3.2 Other Government Agencies Not applicable.


Error Anysis I.
1.3.3 Industry Since industry is already applying the techniques discussed in the guide, updating these techniques should have no adverse impact.


A least4quares technique should be used to determine the uncertainty in the calibration constants.
4. STATUTORY CONSIDERATIONS
4.1 NRC Authority Authority for the proposed action is derived from the Atomic Energy Act of 1954, as amended, and the Energy Reorganization Act of 1974, as amended, and implemented through the Commission's regulations.


2.
4.2 Need for NEPA Assessment The proposed action is not a major action that may significantly affect the quality of the human environment and does not require an environmental impact statement.


The measurement.to-measurement error should be determined by periodically observing the net response from the standards and repeating measurements on selected process items. Each repeat measurement should be made at a different location on the container surface, at different times of the day, and under differing ambient conditions.' "The standard deviation should be determined and any systematic trends corrected for.
S. RELATIONSHIP TO OTHER EXISTING OR
PROPOSED REGULATIONS OR POLICIES
The proposed action is one of a series of revisions of existing regulatory guides on nondestructive assay techniques.


'
6. SUMMARY.AND CONCLUSIONS
The statistical error due to counting (Including backipound) and the erron due to inhomopamsity, ambient conditions, etc. will be include in this measurement- to-measurement error.
Regulatory Guide 5.21 should be revised to bring it up to date.


3.
5.21-10
1.3.4 Public No impact on the public can be foreseen.


The item-to-item error due to the uncertainty in wall thickness should be determined. The uncertainty in the wall thickness may be the standard deviation about the mean computed from measurements on randomly selected samples, or it may be the uncertainty in the thickness measurement of individual containers. This uncertainty in wall thickness should be multiplied by the effect of a unit variation in wall thickness on the measured
1.4 Decision on Proposed Action The guide should be revised to reflect improvements in technique and to bring the guide. into conformity with current usage.
185.7-keV
response to determine this component uncertainty.


4. Item-to-item errors other that those measured, e.g.,
===2. TECHNICAL APPROACH ===
wall thickness, should be determined by periodically (see guidelines in paragraph 8. of the Operation Section)
Not applicable.
selecting an item and determining the enrichment by an independent technique traceable to, or calibrated with, NBS
standard reference material. A recommended approach is to adequately sample and determine the U-235 enrichment by calibrated mass spectrometry. In addition to estimating the limit of error from these comparative measurements, the data should be added to the data used in the original calibration and new calibration constants determined.


5.21-7}}
===3. PROCEDURAL APPROACH ===
Of the alternative procedures considered, revision of the existing regulatory guide was selected as the most advantageous and cost effective.}}


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Latest revision as of 02:08, 17 January 2025

(Task SG 044-4), Revision 1, Nondestructive Uranium-235 Enrichment Assay by Gamma Ray Spectrometry
ML003739991
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Issue date: 12/31/1983
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To:
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RG-5.21, Rev 1
Download: ML003739991 (10)


Revision 1 December 1983 U.S. NUCLEAR REGULATORY COMMISSION

REGULATORY GUIDE

OFFICEOF NUCLEAR REGULATORY RESEARCH

REGULATORY GUIDE 521 (Task SG 0444)

NONDESTRUCTIVE URANIUM-235 ENRICHMENT ASSAY

BY GAMMA RAY SPECTROMETRY

A. INTRODUCTION

Section 70.51, "Material Balance, Inventory, and Records Requirements," of 10 CFR Part 70, "Domestic Licensing of Special Nuclear Material," requires, in part, that licensees authorized to possess and use at any one time more than one effective kilogram of special nuclear material (SNM)

determine the inventory difference (ID) and its associated standard error (estimator) of inventory difference (SEID)

for each element and the fissile isotope for uranium con tained in material in process. Such a determination is to be based on measurements of the quantity of the element and of the fissile isotope for uranium.

The majority of measurement techniques used in SNM

accountability are specific to either the element or the isotope but not to both. A combination of techniques Is therefore required to determine the ID and SEID by element

.2 and by fissile isotope for uranium.

Passive gamma ray spectrometry is a nondestructive method for measuring the enrichment or relative concentration of the fissile isotope

2 3 5U in uranium, but this technique is used in conjunction with an assay for the element uranium in order to deter mine the amount of 235 U.

This guide describes conditions for 235U enrichment measurements using gamma ray spectrometry that are acceptable to the NRC staff and provides procedures for operation, calibration, error analysis, and measurement control.' Examples of 2 3SU enrichment assays using port able and in-line instruments based on the techniques out lined in this guide may be found in References 1 through 4.

Any guidance in this document related to information collection activities has been cleared under OMB Clearance No. 3150-0009.

Calibration error analysis, and measurement control are dis cussed in Regulatory Guide 5.53, "Qualification, Calibration, and Error Estimation Methods for Nondestructive Assay." A proposed revision to this guide has been issued for comment as Task SG 049-4.

B. DISCUSSION

1. BASIS FOR GAMMK.RAY MEASUREMENT OF URA

NIUM ENRICHMENT

The alpha decay of 2 3 5U to 2 3 1Th Is accompanied by the emission of a prominent gamma ray at 185.7 keV

(4.3 x 104 of these 185.7-keV gamma rays are emitted per second per gram of 2 3 5 U). The relatively low energy and consequent low penetrating power of these gamma rays implies that most of the rays that are emitted in the interior of the sample are absorbed within the material Itself. Thick2 materials therefore exhibit a 185.7-keV

gamma ray emission characteristic of an infinite medium;

Le., the 185.7-keV gamma flux emitted from the sample surface does not depend upon the size or dimensions of the material. Under these conditions the 185.7-keV

intensity Is directly proportional to the U enrichment.

A measure of this 185.7-keV intensity with a suitable detector forms the basis for an enrichment measurement technique.

The thickness of the material with respect to the mean free path of the 185.7-keV gamma ray is the primary characteristic that determines the applicability of passive gamma ray spectrometry for the measurement of isotope enrichment. The measurement technique is applicable only If the material Is thick. However, in addition to the thickness of the material, other conditions must be satisfied before the gamma ray measurement technique can be accurately applied. An approximate analytical expression for the detected 185.7-keV activity is given below. This expression has been separated into several indi vidual terms to aid in identifying those parameters that may interfere with the measurement. Although approximate, this relationship can be used to estimate the magnitude of

2 The terms "thick" and "thin" are used throughout this guide to refer to distances in relation to the mean free path of the. I5.7-keV

gamma ray in the material under consideration. The mean free path Isthe I/e-foldlng distance of the gamma ray flux or, in other terms, the average distance a gamma ray traverses before Interacting.

USNRC REGULATORY GUIDES

Comments should be sent to the Sectetary of the Commission, U.S. Nuclear Regulatory Commission. Washington, D.C. 20555, Regulatory Guides are Issued to describe and make available to the Attention: Docketing and Service Branch.

public methods acceptable to the NRC staff of Implementing specific parts of the Commission's regulations, to delineate tech- The guides are Issued In the following ten broad divisions niques used by the staff In evaluating specific problems or postu lated accidents or to provide guidance to applicant

s. Regulatory

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8. Occupational Health out in the guides will be acceptable If they provide a basis for the

4. Environmental and Siting

9. Antitrust and Financial Review findings requisite to the issuance or continuance of a permit or

5. Materials and Plant Protection 10. General license by the Commission.

Copies of issued guides may be purchased at the current Government This guide was Issued after consideration of comments received from Printing Office price. A subscription service for future guides in spe the public. Comments and suggestions for Improvements In these cific divisions is available through the Government Printing Office.

guides are encouraged at all times, and guides will be revised, as Information on the subscription service and current GPO prices may appropriate, to accommodate comments and to reflect new Informa- be obtained by writing the U.S. Nuclear Regulatory Commission, tion or experience.

Washington, D.C. 20555, Attention: Publications Sales Manager.

interfering effects in order to establish limits on the range of applicability and to determine the associated uncer tainties introduced into the measurement. This relationship is:

effective source of 185.7-keV

gamma raysfseen by the detector

""=

( u A +W

-..

£ (Q/47r) exp(-pclicd) (1)

?

i uuj, I

A

,,a enrich- physical riea]

otrica container ment constants Composi- efficiency absorption don I

area defined detector by collimator efficiency material with a characteristic length called the critical distance xo, where x is defined as the thickness of material that produces 99.5 percent of the measured 185.7-keV

activity:

where x0 = -A ln(0.005) = S.29A

'/A= 1UPU + z Pipi I

(2)

(3)

Calculated values of xo for several common materials are given in Table 1.

Where Table 1I

C = detected 185.7-keV activity E = enrichment of the uranium (<I)

PU,

Pi, PC= density of. the uranium (U), matrix material (i), and container wall (c), respectively, in g/cm 3

11U'

PC = mass attenuation coefficient for 185.7-keV

gamma rays in uranium (U), matrix material (i), and container wall (c) in cm 2 /g a = specific 185.7-keV gamma ray activity of

2 3 sU

= 4.3 x 104 gamma rays/sec-g

= net absolute detector full energy peak effi ciency for detecting 185.7-keV gamma rays

(<

1)

= solidanglesubtendedby the detector(SI < 2ir)

A = cross-sectional area of material defined by the detector collimator d = container wall thickness A derivation of this expression, as well as other necessary background information on the theory of enrichment mea surements, may be found in Reference 5. As evident in Equation 1, the activity (C) is proportional to the enrich ment (E) but is affected by sqveral other characteristics as well.

2. MATERIAL AND CONTAINER WALL EFFECTS ON

MEASUREMENT

2.1 Material Thickness In order for Equation 1 to be applicable, the material must be sufficiently thick to produce strong attenuation of

185.7-keV gamma rays. To determine whether this criterion is met, it is useful to compare the actual thickness of the CALCULATED VALUES OF x AND MATERIAL

COMPOSITION fERM

Critical Density Distance Material (g/cm 3 )

x0 (cm)

U (metal)

UF

6 UO

U A 8 Urany

l. Nitrate

18.7

4.7

10.9

7.3

2.8

0.20

1.08

0.37

0.56

2.30

.Values of the mass attenuation coefficient, pa, may be found in References 6 and 7.

Other nondestructive assay (NDA) techniques are capable of detecting SNM distributed within a container. The enrich ment measurement technique, however, is inherently a surface measurement. Therefore, the "sample" observed, I.e., the surface, must be representative of all the material in the container. In this respect the enrichment measurement is more analogous to chemical analysis than are other NDA

techniques.

2.2 Material Composition If the gamma ray measurement is to be dependent only on the enrichment, the term related to the composition of the matrix should be approximately equal to one, Le.,

Material Com position Term

1 I

1.000

1.040

1.012

1.015

1.09S

(4)

Pi

~

This condition ensures that the enrichment measurement will be insensitive to variations in the matrix composition.

However, if this matrix term differs significantly from unity, the enrichment measurement can still be performed provided the matrix composition of the standard and samples remains reasonably constant.

5.21-2 K.

Calculated values of this quantity for common materials are given in Table 1. The deviations of the numbers in Table I from unity indicate that a bias can be introduced

>

by ignoring the difference in material composition.

Inhomogeneities in matrix material composition, uranium density, and uranium enrichment within the measured volume of the material (as characterized by the depth xo and the collimated area A) can produce changes in the measured 185.7-keV activity and affect the accuracy of an enrichment calculated on the basis of that activity. Varia tions in the content of low-atomic-number (Z < 30) matrix materials and inhomogeneities in uranium density in such matrix material produce a small to negligible effect on measurement accuracy. Care is necessary, however, in applying this technique to materials having high-atomic number matrices (Z > 50) or materials having uranium concentrations less than approximately 75 percent. Signifi cant inaccuracies can arise when the uranium enrichment itself varies throughout the sample.

The above conclusions about the effects of inhomogene ities are based on the assumption that the thickness of the material exceeds the critical distance, xo, and that the inhomogeneities exist within this depth. In the case of extremely inhomogeneous materials such as scrap, the condition of sufficient depth may not always be fulfilled or inhomogeneities may exist beyond the depth xo; i.e., the sample is not representative. Therefore, this technique is not applicable to such inhomogeneous materials.

2J

2.3 Container Wall Thickness Variations in the thickness of the container walls can significantly affect the activity measured by the detector.

The fractional change in the activity AC/C due to a small change Ad in the container wall thickpess can be expressed:

AC =_* lPcPcAd

(5)

Calculated values of AC/C corresponding to a change in container thickness Ad of 0.0025 cm for common con tainer materials are given in Table 2.

Table 2 CALCULATED VALUES OF AC/C

Density AC

Material (g/cm*)

C

Steel

7.8 Aluminum

2.7 Polyethylene 0.95

-0.003

-0.0009

- 0.0004 Therefore, the container wall thickness must be known (e~g., by measuring an adequate number of the containers J

before loading). In some cases, an unknown container wall thickness can be measured using an ultrasonic technique after which a simple correction can be applied to the data to account for attenuation of the 185.7-keV gamma rays (see Equation 5). Commercial equipment is available to measure wall thicknesses ranging from about 0.025 to

5.0 cm with relative precisions of approximately 1.0 per cent to 0.1 percent, respectively.

Using standardized containers to hold the sample mate rial in order to minimize uncertainties and possible errors associated with container-to-container wall thickness corrections is strongly recommended.

3. DETECTOR-RELATED FACTORS

3.1 Area and Geometrical Efficiency The area of the material viewed by the detector and the geometrical efficiency are variables that may be adjusted, within limits, to optimize a system. Two important factors must be noted:

1. Once these variables are fixed, changes in these parameters will alter the calibration of the instrument and invalidate subsequent measurement results.

2. The placement of the material within the container will affect the detected activity. It is important that there are no void spaces between the material and the container wall.

3.2 Net Detector Efficiency Thallium-activated sodium iodide, Nal(TI), lithium-drifted germanium, Ge(Li), and high-purity germanium, HPGe (also referred to as intrinsic germanium, IG), detectors have been used to perform these measurements. The detection systems are generally conventional gamma ray spectrometry systems that are commercially available in modular or single-unit construction. Some useful guidelines for the procurement and setup of a solid-state-detector-based system are given in Regulatory Guide 5.9, "Specifications for Ge(Li) Spectros copy Systems for Material Protection Measurements." 3 Factors that influence detector selection and the control required for accurate results are discussed below.

3.2.1 Background

3.2.1.1 Compton Background. This background is pre dominantly produced by the 765-keV and lO01-keV

gamma rays of 2 34 mPa, a daughter of 2 38 U. Since in most cases the Compton background behaves smoothly in the vicinity of the 185.7-keV peak, it can be readily sub;

tracted, leaving only the net counts in the 185.7-keV

full-energy peak.

3.2.1.2 Overlapping Peaks. The observable peak from certain gamma rays may overlap that of the 185.7-keV peak owing to the finite energy resolution of the detector; i.e.,

3A proposed revision to this guide has been issued for comment as Task SG 042-2 with the title "Guidelines for Germanium Spectros copy Systems for Measurement of Special Nuclear Material."

5.21-3

the difference in energies may be less than twice the full width of the spectrum peak at half its maximum height (FWHM). This problem is common in enrichment measure ments of recently separated uranium from a reprocessing

3lant. The peak from a strong 208-keV gamma ray from

37U (half-life of 6.75 days) can overlap the 185.7-keV

peak when a Nal detector is used. Analytical separation of the two unresolved peaks, i.e., peak stripping, may be applied. An alternative solution is to use a Ge(Li) or HPGe detector so that both peaks are dearly resolved. The2 3U

activity present in reprocessed uranium will depend on the amount of 241pu present before reprocessing and also on the time elapsed since separation.

3.2.1.3 Ambient Background.

The third source of background originates from natural sources and from other uranium-bearing materials located in the vicinity of the measuring apparatus. This source can be particularly bothersome since it can vary over time within wide limits depending on plant operating conditions.

3.2.2 Count-Rate Losses Calculation of the detector count rates for purposes of making dead-time 4 estimates requires calculation of the total count rate, not only that due to 2 3 1U. Total count rate estimates for low-enrichment material must therefore take into account the relatively important backgrounds of gamma rays from 238V daughters. If other radioactive materials are present within the sample, their contributions to the total count rate must also be considered.

Count-rate corrections can be made by determining the dead time or by making measurements for known live-time 4 intervals. The pileup or overlap of electronic pulses is a problem that also results in a loss of counts in the full energy peak for Ge(Li) systems. An electronic pulser may be used to monitor and correct for these losses. However, a more reliable method involves the use of a radioactive source fixed to the detector in an invariant geometry.

A photopeak area from the spectrum of this source is counted along with a uranium peak area. The source peak area can then be compared with an earlier value taken without uranium present, and the dead time for the assay measurement can be inferred. (Part of the regular measure ment control would then involve uranium-free measurement of the source peak area.) One possible source could be

2 4 1 Am, whose 60-keV gamma ray peak would be easily resolved from the uranium lines by either a Ge- or Nal-based system. If filtering of ambient low-energy gamma radiation is used, the 24 1 Am source can be placed between the detector and the absorber used for the filtering. If a high resolution system is used, the recommended source for this purpose is 10 9 Cd, which emits only an 88-keV peak, well below the uranium (185.7-keV) region, and has a half-life of 453 days. Radiation that provides no useful information can be selectively attenuated by filters; e.g., a

4 "Dead time" refers to that portion of the measurement period during which the instrument Is busy processing data already received and cannot accept new data. "Live time" means that portion of the measurement period during which the instrument can record detected events. To compare different data for which dead times are appreci able, compare counts measured for equal live-time periods, Le.,

(actual measurement period) - (dead time) = live time.

1-mm-thick cadmium filter will reduce x-ray interference, eliminating this source of count-rate losses. Note that present-day counting electronics are capable of handling high negative count rates without significant losses from either pileup or system dead time. However, if a measure ment situation arises in which count rates are excessive, tighter collimation of the opening on the front face of the detector is a simple method for reducing count rates to tolerable levels at which complicated loss corrections are not essential.

3.2.3 Instability in Detector Electronics The gain of a photomultiplier tube is sensitive to changes in temperature, count rate, and magnetic field. Provision can be made for gain checks or gain stabilization for enrich ment measurement applications. Various gain stabilizers that automatically adjust the system gain to keep a refer ence peak centered between two preset energy limits are available.

. REGULATORY POSITION

Passive gamma ray spectrometry constitutes a means acceptable to the NRC staff for nondestructively determin ing U enrichment, if the conditions identified below are satisfied.

I. RANGE OF APPLICATION

All material to be assayed under a certain calibration should be of similar chemical form, physical form, homo geneity, and impurity level.

The critical distance o&f the material should be determined.

Only those items of the material having dimensions greater than this critical distance should be assayed by this technique.

The material should be homogeneous in all respects on a macroscopics scale. The material should be homogeneous with respect to uranium enrichment on a microscopics scale.

The containers should all be of similar size, geometry, and physical and chemical composition.

2. SYSTEM REQUIREMENTS

NaI(TI) scintillation detectors having a resolution of FWHM less than 16 percent at the 185.7-keV peak of 2 3 5 U

are generally adequate for measuring the enrichment of uranium. Crystals with a thickness in the range of 1.3 to

1.8 cm are recommended for optimum efficiency. If other radionuclides that emit significant quantities of gamma radiation in an energy region E = 185.7 keV +/- 2 FWHM at

185.7 keV are present, one of the following should be used:

a. A higher resolution detector, e.g., Ge(Li) or HPGe, or

5lMacroscople refers to distances greater than the critical distance;

microscopic to distances less than thi critical distance.

5.214 I'l K

b. A peak-stripping procedure to subtract the interfer ence. In this case', data 'should be provided to show the range of concentration' of the interfering radionuclide and the accuracy and precision of the stripping technique over this range.

The detection system gain should be stabilized by monitoring a known reference peak.

The system clock should be in live time. The system should provide a means of determining the count-rate losses based on the total counting rate, or provide additional collimation to reduce the count rate.

The design of the system should allow reproducible positioning of the detector or item being assayed.

The system should be capable of determining the gamma ray activity in at least two energy regions to allow subtrac tion of the background. One region should encompass

185.7 keV, and the other should be above this region but should not overlap it. The threshold and, width of the regions should be adjustable. If dead-time corrections are measured with a pulser or source peak, a third and fourth region will have to be defined to establish the additional peak area and its background.

The system should have provision for filtering out low-energy radiation from external sources.

3. DATA ACQUISITION

Initial preparation of the assay instrumentation for data acquisition should involve careful determination of the system energy gain, the position of key photopeak and background regions, and the instrument response to cali bration. However, after the proper instrument settings are established, routine operation can involve a less detailed check of the peak positions. This verification can consist of either a visual check of the gamma ray spectrum on a multichannel analyzer or a brief scan of the 140- to 200-keV

energy region with a single-channel analyzer. Verification that the 185.7-keV peak position correspondi to its~value at, calibration ensures that the instrument is still biased properly.

Verification of the 185.7-keV count rate with a uranium check source can also demonstrate continued validity of the response calibration. In some cases it may be useful to check the position of two peaks in the tammanray spectrum, in which case a 5 7Co gamma ray source (with a photopeak at 122 keV) would be convenient.

If the total counting rate is determined primarily by the

185.7-keY gamma ray, the counting rate should be restricted (e.g., by absorbers or decreased geometrical efficiency)

below those rates requiring correction. The system sensitivity will be reduced by these measures, and, if the sensitivity is no longer adequate, separate calibrations should be made in two or more enrichment regions.

To determine the location and width of the 185.7-keV

peak region and the background regions, the energy spectrum from each calibration standard (see Regulatory Position 4, Calibration) should be determined and the position of the 185.7-keV peak and neighboring peaks noted. The threshold and width of each energy region should then be selected to avoid including any neighboring peaks and to optimize the system stability and the signal-to-background ratio.

The net response attributed to 185.7-keV gamma rays should be the accufnulated counts in the peak region minus a multiple of the counts accumulated in a nearby back ground region. A single upper background region may be monitored, or both a region above the peak region and one below may be monitored. If only an upper background region is monitored, the net response, R, is giyen by R - G abB.

where G and B are the gross counts in the peak region and the background region, respectively, and b is the multiple of the background to be subtracted. This net response, R,

should then be proportional to the enrichment, E:

E =CIR - C(G - bB)

where C1 is a calibration constant to be determined (see Regulatory Position 4, Calibration). The gross counts, G

and B, should be measured for all the standards. The quantities G/E should then be plotted as a function of the quantities B/E anda straight line through the data determined:

G/E =b(B/E) + I/C1 The slope of this line is b, the multiple of the upper back ground region to be subtracted. The data from all the standards should be used in determining this slope.

If both an upper and a lower background are monitored, the counts in each of these regions should be used to determine a straight-line fit to the background. Using this straight-line approximation, the area or number of counts under this line in the peak region should be subtracted from the gross counts, G, to obtain the net response. An adequate technique based on this principle Is described in Reference 8.

On a number of recently developed portable gamma ray spectroscopy instruments, these calibration procedures can be performed automatically by means of a microprocessor based computational capability built into the instrument or by a calculator. In such cases, the more reliable procedure of complete calibration of the instrument before each assay session may be practical.

4. CALIBRATION

Calibýation 6 standards should be obtained by:

1. Selecting items from the production material. A

group of the items selected should, after determination of

6 'None of the calibration techniques or data reduction procedures discussed precludes the use of automated direct-readout systems for operation. The procedures described In this guide should be used for adjustment and calibration of direct-readout instruments.

5.21-5

the gamma ray response, be measured by an independent, more accurate technique, e.g., mass spectrometry, that is traceable to or calibrated with National Bureau of Standards (NBS) standard reference material. The other items should be retained as working standards.

2. Fabricating standards that represent the material to be assayed in chemical form, physical form, and impurity level. The 235U enrichment of the material used in the fabrication of the standards should be determined by a technique, e.g., mass spectrometry, that is traceable to or calibrated with NBS standard reference material.

The containers for the standards should have a geometry, dimensions, and a composition that approximate the mean of these parameters in the containers to be assayed. However, it should be emphasized that the best procedure is to standardize the, sample containers to minimize, if not eliminate, container-to-container differences.

3. The values of enrichment for the calibration standards should span the range of values encountered in normal operation. No less than three separate standards should be used. (Good calibration practice dictates the use of at least two standards to determine the linear calibration constants and a third standard to check the calibration computations.)

However, if the assay response (after application of appro priate corrections) can be shown to be highly linear and to have zero offset (i.e., zero response for zero enrichment),

it may be more advantageous to avoid using standards with low enrichment because the low count rates would reduce the calibration precision. In such a case, calibration in the upper half of the range of expected enrichments combined with the constraint of zero response for zero enrichment can produce a higher precision calibration than a fitting of standard responses over the full range of expected enrich ments, including values at low enrichment. If such a cali bration procedure is used, careful initial establishment of the zero offset and instrument linearity, followed by occasional verification of both assumptions, is strongly recommended. Such verification could be accomplished by an occasional extended measurement of a low-enrichment standard. It should be noted that if the measurement system exhibits a nonzero offset (i.e., a nonzero response for zero sample enrichment), this is an indication of a background problem that should be corrected before assays are performed.

Each standard should be measured at a number of different locations, e.g., for a cylinder, at different heights and rotations about the axis. The mean of these values should be used as the response for that enrichment. The dispersion in these values should be used as an initial estimate of the variance due to material and container inhomogeneity.

In general, the data from the standards, i.e., the net responses attributed to the 185.7-keV gamma rays from the known uranium enrichments, can be employed in a simple linear calculation of the two calibration constants as described in Appendix 3 of Reference 5. If desired, more involved least-squares techniques can also be used.

S. OPERATIONS

. The measurement of enrichment involves counting the

185.7-keV gamma ray intensity from an infinite thickness of uranium-bearing material in a constant counting geometry.

A schematic of the counting geometry is given in Figure 1.

The detector should be collimated and shielded from ambient radiation so that, as much as possible, only the radiation from the sample container is detected.

The detection system and counting geometry (i.e.,

collimator opening area, A, and collimator depth, x), the data reduction technique, and the count-rate loss corrections, if included, should be Identical to those used in the calibration.

Data from all measurements should be recorded in an appropriate log book.

At least two working standards should be measured during each eight-hour operating shift. The measured response should be compared to the expected response (value used in calibration) to determine if the difference exceeds three times the expected standard deviation. 7 If this threshold is exceeded, measurements should be repeated to verify that the response is significantly different and that the system should be recalibrated. In the event of a significant change in the instrument response, every effort should be made to understand the underlying cause of the change and, if possible, to remedy the cause rather than simply calibrate around the problem.

Prior to counting, all containers should be agitated. If this is not possible, the material should be mixed by some method. One container from every ten should be measured at two different locations on the container. The others may be measured at only one location. (If containers are scanned to obtain an average enrichment, the degree of inhomogeneity should still be measured by this method.)

The difference between the measurements at different locations on the container should be used to indicate a lack of the expected homogeneity. If the two responses differ by more than three times the expected standard devia-.

tion (which should include the effects of the usual or expected inhomogeneity), measurements should be repeated to verify the existencen of an abnormal inhomogeneity. If the threshold is exceeded, the container should be rejected and investigated to determine the cause of the abnormal inhomogeneity.8 The container should be viewed at such a position that an infinite thickness of material fills the field of view defined by the collimator and detector (see Figure 1). The procedure for determining the fill of the container should be recorded, e.g., by visually inspecting at the time of filling and recording on the container tag.

7The user can always have a stricter criterion. This is a minimum.

SThe difference may also be due to a large variation in wall thickness.

5.21-6 K

SCHEMATIC OF ENRICHMENT MEASUREMENT

SETUP

FIGURE 1 A schematic of a typical detector/collimator arrangement for a uranium enrichment measurement. The collimator depth (crucial in the calibration of the enrichment instrument) is denoted by x, the distance from the container surface to the collimator opening by r, and the container wall thickness by d. As long as an infinite thickness of assay material is contained

2 in the field of view of the detector, the distance r is not crucial. However, the preferred enrichment measurement setup is with the collimator opening in contact with the container surface (i.e., r = 0).

5.21-7

(

The container wall thickness should be measured. The wall thickness and location of the measurement should be indicated if the individual wall thickness measurements and the gamma ray measurement are made at this location. If the containers are nominally identical, an adequate sampling of these containers should be sufficient. The mean of the measurements on these samples constitutes an acceptable measured value of the wall thickness that may be applied to all containers of this type or category.

The energy spectrum from a process item selected at random should be used to determine the existence of unexpected interfering radiations and the approximate magnitude of the interference. This test should be per formed at a frequency that will ensure testing:

1. At least one item in any new batch of material.

2. At least one item if any changes in the material processing occur.

3. At least one item per two-month period.

If an interference appears, either a higher resolution detector should be acquired or an adequate peak-stripping routine applied. In both cases, additional standards that include the interfering radiations should be selected and the system should be recalibrated.

No item should, be assayed if the measured response exceeds that of the highest enrichment' standard by more than twice the standard deviation in the response from this standard.

6. ERROR ANALYSIS,

A regression or analysis-of-variance technique should be used to determine the uncertainty in the calibration con stants.

The measurement-to-measurement variance should be determined by periodically observing the net response from the standards and repeating measurements on selected process items. Each repeated measurement should be made at a different location on the container surface, at different times of the day, and under different ambient conditions.9 The standard deviation should be determined and any trends (e.g., trends due to time or temperature) corrected for.

The item-to-item variance due to the variation in wall thickness should be determined. The variance in the con tainer wall thickness should be determined from measure ments of the sample container wall thickness, either during the course of the assays or from separate measurements of randomly selected samples. The computed variance in the samples should be used as the variance of wall thickness.

This variance should be multiplied by the effect of a unit variation in that thickness on the measured 185.7-keV (see, e.g., Table 2) response to determine its contribution to the total measurement variance.

Item-to-item variations other than those measured, e.g.,

wall thickness, should be determined by periodically (see guidelines in Regulatory Position 5) selecting an item and determining the enrichment by an independent technique traceable to, or calibrated with, NBS standard reference material. A recommended approach is to adequately sample and determine the 2 3SU enrichment by calibrated mass spectrometry. In addition to estimating the standard devia tion of these comparative measurements, the data can also be used to verify the continued stability of the instrument calibration. If any significant deviation of the calibration is noted from these comparisons, the cause of the change should be identified before further assays are performed.

9The variance due to counting (including background) and the variance due to lnhomogenelty, ambient conditions, etc., will be included In this measurement-to-measurement variance.

K1

5.21-8 K

K

REFERENCES

1. R. B. Walton et al., "Measurements of UF 6 Cylinders with Portable Instruments," Nuclear Technology, Vol. 21, p. 133, 1974.

2. T. D. Reilly et al., "A Continuous In-Line Monitor for UF Enrichment," Nuclear Technology, Vol. 23, p. 318,

19A4.

3. P. Matussek and H. Ottmar, "Gamma-Ray Spectrom etry for In-Line Measurements of 2 3 5 U Enrichment in a Nuclear Fuel Fabrication Plant," in Safeguarding Nuclear Materials, IAEA-SM-201/46, pp.223-233, 1976.

Available from the International Atomic Energy Agency, UNIPUB, Inc., P.O. Box 433, New York, New York

10016.

4. R. B. Walton, "The Feasibility of Nondestructive Assay Measurements in Uranium Enrichment Plants," Los Alamos Scientific Laboratory, LA-7212-MS,

1978.

5. L. A. Kull, "Guidelines for Gamma-Ray Spectroscopy Measurements of

2 3 sU Enrichment,"

Brookhaven National Laboratory, BNL-50414, March 1974.

6. J. H. Hubbell, "Photon Cross Sections, Attenuatim Coefficients, and Energy Absorption Coefficients from

10 keV to 100 GeV," National Bureau of Standards, NSRDS-NBS 29, 1969.

7. E. Storm and H. I. Israel, "Photon Cross Sections from

.001 to 100 MeV.for Elements I through 100," Los Alamos Scientific Laboratory, LA-3753, 1967.

8. G. Gunderson and M. Zucker, "Enrichment Measure ment in Low Enriched 2 3 SU Fuel Pellets," in "Proceed ings:

13th Annual Meeting," Journal of the Institute of Nuclear Materials Management, Vol. 1, No. 3, p. 221,

1972.

BIBLIOGRAPHY

Alvar, K., H. Lukens, and N. Lurie, "Standard Containers for SNM

Storage, Transfer, and Measurement,"

U.S.

Nuclear Regulatory Commission, NUREG/CR-1847, 1980.

Available through the NRC/GPd Sales Program, U.S.

Nuclear Regulatory Commission, Washington, D.C. 20555.

This report describes the variations of container properties (especially wall thicknesses) and their effects on NDA measurements. A candidate list of standard containers, each sufficiently uniform to cause less than 0.2 percent variation in assay results, is given, along with comments on the value and impact of container standardization.

Augustson, R. H., and T. D. Reilly, "Fundamentals of Passive Nondestructive Assay of Fissionable, !Material,"

Los Alamos Scientific Laboratory, LA-5651-M, Albuquerque, New Mexico, 1974.

This report contains a wealth of information on nondestructive assay techniques and their asso ciated instrumentation and has an extensive treatise on gamma ray enrichment measurements.

Sher, R., and S. Untermeyer, "The Detection of Fission able Materials by Nondestructive Means," American Nuclear Society Monograph, La Grange Park, Illinois, 1980.

This 1Iook contains a helpful overview of a wide variety of nondestructive assay techniques, including enrichment measurement by gamma ray spectrometry. In addition, it contains a rather extensive discussion of error estimation, measure ment control techniques, and measurement statistics.

5.21-9

VALUE/IMPACT STATEMENT

1. PROPOSED ACTION

1.1 Description Licensees authorized to possess at any one time more than one effective kilogram of special nuclear material (SNM)

are required in § 70.51 of 10CFR Part 70 to determine the inventory difference (ID) and the associated standard error (SEID) for each element and the fissile isotope of uranium contained in material in process. The determination is made by measuring the quantity of the element and of the fissile isotope for uranium.

It is not usually possible to determine both element and isotope with one measurement. Therefore, a combina tion of techniques is required to measure the SNM ID and the SEID by element and by fissile isotope. Passive gamma ray spectroscopy is a nondestructive method for measuring the relative concentration of the fissile isotope 2 3 5 U in uranium. This technique is then used in conjunction with an assay for the element uranium to determine the amount of 2 3 5 U.

Regulatory Guide 5.21 describes conditions for 23SU

enrichment measurements using gamma ray spectroscopy that are acceptable to the NRC staff. The proposed action will revise the guide to conform to current usage and to add information on the state of the art of this technique.

1.2 Need The proposed action is needed to bring Regulatory Guide 5.21 up to date.

1.3 Value/Impact Assessment

1.3.1 NRC Operations The experience and improvements in technology that have occurred since the guide was issued will be made available for use in the regulatory process. Using these updated techniques should have no adverse impact.

1.3.2 Other Government Agencies Not applicable.

1.3.3 Industry Since industry is already applying the techniques discussed in the guide, updating these techniques should have no adverse impact.

4. STATUTORY CONSIDERATIONS

4.1 NRC Authority Authority for the proposed action is derived from the Atomic Energy Act of 1954, as amended, and the Energy Reorganization Act of 1974, as amended, and implemented through the Commission's regulations.

4.2 Need for NEPA Assessment The proposed action is not a major action that may significantly affect the quality of the human environment and does not require an environmental impact statement.

S. RELATIONSHIP TO OTHER EXISTING OR

PROPOSED REGULATIONS OR POLICIES

The proposed action is one of a series of revisions of existing regulatory guides on nondestructive assay techniques.

6. SUMMARY.AND CONCLUSIONS

Regulatory Guide 5.21 should be revised to bring it up to date.

5.21-10

1.3.4 Public No impact on the public can be foreseen.

1.4 Decision on Proposed Action The guide should be revised to reflect improvements in technique and to bring the guide. into conformity with current usage.

2. TECHNICAL APPROACH

Not applicable.

3. PROCEDURAL APPROACH

Of the alternative procedures considered, revision of the existing regulatory guide was selected as the most advantageous and cost effective.