Publication Date: 9/1/74
    Pages: 7
    Date Entered: 1/5/93
    Title: Nondestructive Assay of High-Enrichment Uranium Fuel Plates by Gamma Ray Spectrometry
    September 1974
    U.S. ATOMIC ENERGY COMMISSION
    REGULATORY GUIDE
    DIRECTORATE OF REGULATORY STANDARDS
    REGULATORY GUIDE 5.38
    NONDESTRUCTIVE ASSAY OF HIGH-ENRICHMENT URANIUM
    FUEL PLATES BY GAMMA RAY SPECTROMETRY
A. INTRODUCTION
    Part 70 of Title 10 of the Code of Federal Regulations requires
    each licensee authorized to possess more than 350 grams of contained
    U-235 to conduct a physical inventory of all special nuclear material in
    his possession at intervals not to exceed 12 months. Each licensee
    authorized to possess more than one effective kilogram of
    high-enrichment uranium is required to conduct measured physical
    inventories of his special nuclear materials at bimonthly intervals.
    Further, these licensees are required to conduct their nuclear material
    physical inventories in compliance with specific requirements set forth
    in Part 70. Inventory procedures acceptable to the Regulatory staff for
    complying with these provisions of Part 70 are detailed in Regulatory
    Guide 5.13, "Conduct of Nuclear Material Physical Inventories."
    For certain nuclear reactors, the fuel consists of highly enriched
    uranium fabricated into flat or bowed plates. Typically, these plates
    are relatively thin so that a significant percentage of the U-235 gamma
    rays penetrate the fuel cladding. When the measurement conditions are
    properly controlled and corrections are made for variations in the
    attenuation of the gamma rays, a measurement of the U-235 gamma rays can
    be used as an acceptable measurement of the distribution and the total
    U-235 content of each fuel plate. In lieu of assaying the product fuel
    plates, fuel plate core compacts may be assayed through the procedures
    detailed in this guide, provided steps are taken to ensure the
    traceability and integrity of encapsulation of each assayed fuel plate
    core compact. This guide describes features of a gamma ray spectrometry
    system acceptable to the Regulatory staff for nondestructive assay of
    high-enrichment uranium fuel plates or fuel plate core compacts.
B. DISCUSSION
    The number, energy, and intensity of gamma rays associated with
    the decay of U-235 provide the basis for nondestructive assay of
    high-enrichment fuel plates by gamma ray spectrometry (Ref. 1). The
    185.7-keV gamma ray is the most useful U-235 gamma ray for this
    application; it is emitted at the rate of 4.25 x 10(4) gamma rays per
    second per gram of U-235. Lower-energy gamma rays emitted by U-235 are
    less penetrating and more sensitive to errors due to fluctuations in
    clad and core thickness. In general, more accurate fuel plate assays
    may be made by measuring only the activity attributable to the 185.7-keV
    U-235 gamma ray.
    Assay measurements are made by integrating the response observed
    during the scanning of single fuel plates and comparing each response to
    a calibration based on the response to known calibration standards.
1. GAMMA RAY MEASUREMENT SYSTEM
    1.1 GAMMA RAY DETECTION SYSTEM
    1.1.1Gamma Ray Detector
    High-resolution gamma ray detectors, i.e., intrinsic or
    lithium-drifted germanium, provide resolution beyond that required for
    this assay application. While the performance of such detectors is more
    than adequate, their low intrinsic detection efficiency, extensive
    operational and maintenance requirements, and high cost make them
    unattractive for this application.
    Most sodium iodide [NaI (T1)] scintillation detectors are capable
    of sufficient energy resolution to be used for the measurement of the
    185.7-keV gamma rays. The detector diameter is determined by the fuel
    plate width and the scanning method selected (see Section B.1.2 of this
    guide). The thickness of the NaI crystal is selected to avoid
    unnecessary sensitivity to gamma rays above the 185-keV region which
    produce a background in the 185-keV energy region as a result of Compton
    scattering.
    For measurements to be reproducible, it is necessary to assure
    that the detection system is stabilized on the intended portion of the
    gamma ray spectrum during measurements. Internally "seeded" NaI
    crystals which contain a radioactive source (typically Am-241) to
    produce a reference energy pulse are commercially available. The
    detection system is stabilized on the reference, and the amplifier gain
    is automatically corrected to assure that that energy and the rest of
    the spectrum remain fixed in position.
    1.1.2Gamma Ray Collimator
    To ensure that the only gamma ray activity detected originates
    from a well-defined segment of the fuel plate, the detector is shielded
    from extraneous background radiations and collimated to define the area
    "seen" by the detector crystal. The collimator consists of a disk of
    appropriate shielding material. A slit is machined through the center
    of the disk which will allow only those gamma rays emitted within the
    slit opening to strike the detector. The disk thickness is a minimum of
    six mean free path lengths to effectively stop all gamma rays emitted
    from outside the view area. To prevent gamma rays from striking the
    crystal around the edges of the collimator disk, the disk diameter
    exceeds the crystal diameter by at least twice the crystal depth.
    The probability of detection for gamma rays emitted at the center
    of the collimator slit is greater than that for gamma rays emitted near
    the ends of the slit. This effect becomes increasingly important at
    small detector-to-plate spacing, especially when scanning near the edge
    of a plate. To minimize this detection nonuniformity and to minimize
    the sensitivity to jitter, the detector-to-plate distance can be made
    large, especially with respect to the dimensions of the slit opening.
    As an alternative means of reducing the detection nonuniformity across
    the slit, the slit opening can be divided into channels by inserting a
    honeycomb baffle into the slit or by fabricating the collimator by
    drilling holes through the disk in a pattern which ensures that each
    hole is surrounded by a minimum wall thickness of 0.2 mean free path
    length. A 7.0-cm-thick iron disk with holes less than 0.5 cm in
    diameter drilled in a pattern having 0.2 cm of wall between adjacent
    holes is one example of a collimator that would perform satisfactorily.
    A large number of small-diameter holes is preferable to a few
    large-diameter holes.
    1.1.3Multiple Detectors
    Several detectors may be used to shorten the measurement time.
    The detectors can be positioned to simultaneously measure different
    segments of a single fuel plate or to simultaneously measure additional
    fuel plates. In some cases it may be useful to sum the response from
    two detectors positioned on opposite sides of a plate to increase
    counting efficiency. In such cases it is essential that the response of
    such detectors be balanced and checked at frequent intervals.
    1.2 SCANNING TECHNIQUES
    It is critical that the scanning apparatus for moving the plates
    relative to the detector provide a uniform and reproducible scan. The
    importance of a well-constructed, mechanically stable conveyor cannot be
    overemphasized. Either the detector can be moved and the plate held
    stationary, or the plate can be moved past a fixed detector. Care must
    be exercised to maintain the detector-to-plate spacing within close
    tolerances to minimize errors caused by the inverse-square dependence of
    detection on distance. This is especially important in the case of
    close spacing, which is sometimes desirable to maximize the count rate.
    Various commercial conveying systems have been used and found to be
    adequate. Such systems may significantly reduce the cost of designing
    and building new scanning mechanisms. High-precision tool equipment
    such as milling machines, lathes, and x-y scanning tables can be
    investigated. Numerically controlled units offer additional advantages
    when they can be incorporated into a scanning system. This is
    particularly true when an automated scanning system is being developed.
    Fuel plate core compacts may be sufficiently small to permit total
    assay without scanning in a fixed-geometry counting system. The
    scanning techniques for fuel plates discussed in the following
    subsections can also be used for core compacts when total fixed compact
    counting is not possible.
    1.2.1Linear Total Scan
    The detector collimation consists of a rectangular opening which
    extends across the width of the fuel plates beyond the edges of the
    uranium core contained within the plate cladding. Scanning the total
    plate is accomplished by starting the count sequence on the end of a
    plate and continuing to count until the entire length of plate has been
    scanned.
    To ensure that gamma rays emitted anywhere across the face of the
    fuel plate have an equal probability of being detected, it is necessary
    that the diameter of the detector crystal exceed the plate width or that
    the detector be positioned away from the plate.
    Use of the spot or circular collimator scan technique eliminates
    or reduces to insignificance most of these edge effects.
    1.2.2Sweeping Spot scan (Ref. 2) If the collimator channel width is smaller than the fuel plate
    width, the viewing area (spot) can be sewpt across the plate as the
    detector scans along the length of the plate. This scanning technique
    can be readily adapted to scanning bowed plates through the use of a cam
    which is designed to maintain the detector-to-plate distance constant
    over the entire geometry of the fuel plate. The collimator channel
    dimensions can be selected to provide compatible information on the
    uniformity of the fuel plate which is frequently obtained by comparing
    fixed (static) spot counts at a variety of locations to reference
    counts.
    1.2.3Sampled Increment Assay
    When used in conjunction with radiographic dimensional
    measurements performed on all fuel plates, the U-235 content of a fuel
    plate can be measured by scanning the ends of each fuel plate and
    sampling the balance of the plate. It is necessary to measure the
    dimensions of the fuel core loading radiographically, through gamma ray
    scanning along the length of the plate, or by spot scanning the fuel
    plate ends and measuring the distance between end spots where the fuel
    loading stops. The U-235 content of the plate is then determined by
    averaging the results of sample spot measurements of the U-235 content
    per unit area at a number of sites along the plate and multiplying this
    average value by the measured area of the fuel core. The radiograph of
    each plate is examined to ensure that the core filter is uniform.
    The collimator shape and dimensions can be selected to provide
    compatible information on the uniformity of the fuel plate.
    1.3 COMPUTER CONTROL
    The reproducibility of measurements can be improved and the
    measurement time per fuel plate can be reduced by using a computer to
    control the fuel plate scanning operation. The computer can be used to
    control data acquisition by accumulating counts according to a
    predetermined scheme. Also, the computer can be used for data analysis,
    including background corrections and intermachine normalization,
    calibration, error analysis, and diagnostic test measurements and
    analyses. Report preparation and data recording for subsequent analysis
    are also readily accomplished through an appropriately designed
    computer-controlled system.
2. INTERPRETATION OF MEASUREMENT DATA
    The three factors discussed below may give rise to significant
    errors in interpreting measurement data.
    2.1 ENRICHMENT VARIATIONS
    Licensees authorized to possess highly enriched uranium are
    required to account for element and isotope as prescribed in Section
    70.51. Under the conditions detailed in this guide, the U-235 content
    of individual plates is measured. To determine the total uranium
    content of each plate, the U-235 enrichment must be known from separate
    measurements.
    Enrichment variations may alter the radiation background in the
    gamma ray energy region of interest. Uranium-238 decays by
    alpha-particle emission to Th-234. Thorium-234 then decays by
    beta-particle emission with a half-life of 24.1 days to Pa-234 which, in
    turn, decays by beta-particle emission to U-234. Approximately 1% of
    the Pa-234 decays are followed by high-energy (e.g., 1001 keV, 766 keV)
    gamma rays. These gamma rays frequently lose energy through Compton
    scattering and may appear in the 185-keV spectral region. It is
    important to note that activity from Pa-234 may be altered by disturbing
    the equilibrium between U-235 and Th-234, as frequently occurs in
    uranium chemical conversion processes. The interference due to
    variations in U-238 daughter activity becomes less important as the
    enrichment of U-235 increases. At enrichment levels above 90%, this
    problem can essentially be ignored.
    2.2 RADIATION ATTENUATION
    The number of U-235 gamma rays which escape from the fuel plate
    (and are thus available for detection) without losing energy depends on
    the characteristics of the fuel plate core and cladding. Gamma rays
    from U-235 are attenuated in the uranium, in the cladding, and in the
    inert material that may be added with the uranium to form the core of
    the fuel plate. Through well-controlled product tolerance limits, each
    of these potential sources of signal variability can be controlled to
    permit accurate accountability assays.
    2.2.1Self-Attenuation
    The uranium photon attenuation coefficient for gamma ray energies
    corresponding to U-235 emissions is quite large (Ref. 3). Small changes
    in uranium density resulting from increased fuel loading or from
    variations in the manufacturing process can significantly change the
    number of gamma rays which escape from the fuel plate.
    2.2.2Cladding Attentuation
    Small variations in cladding thickness may cause significant
    attenuation variations. Variations in cladding attenuation can be
    measured by a simple gamma ray absorption test using thin sheets of
    cladding material as absorbers and varying the clad thickness over the
    range of thicknesses to be encountered in normal product variability.
    2.2.3Core Filler Attenuation
    Radiation intensity measurements may be made of plates fabricated
    with different ratios of uranium to filler to show the effects of this
    type of attenuation. If significant effects are noted, plates can be
    categorized by core composition characteristics and the assay system can
    be independently calibrated for each category of fuel plates.
    2.2.4Attenuation Corrections
    When the thickness of the core and cladding of each plate is
    known, an attenuation correction can be applied to improve the accuracy
    of the assay. Ultrasonic gauging may provide such a measure, provided
    the metallographic zones within the plate are sufficiently defined to
    provide a detectable interface.
    The alternative attenuation correction is based on a micrometer
    measurement of the total thickness of each plate. The clad thickness of
    a plate is estimated by subtracting the mean core thickness of the
    product plates, which is determined by periodically sampling product
    plates and cutting a cross section to permit visual measurement of clad
    and core thickness.
    2.3 INTERFERING RADIATIONS
    As noted in Section B.2.1 of this guide, an internal background
    variation may arise from changes in the amount of U-238 present in a
    fuel plate or from changes in the ratio of Th-234 to U-238 resulting
    from fuel manufacturing processes. Fluctuations in the internal
    background cause the response of the unknown items to be different from
    the calibration standards, thereby creating a measurement bias. Such
    interferences can be compensated by measuring additional regions of the
    gamma ray spectrum.
    Other interfering radiations may come from external sources, from
    fuel plates awaiting assay, or from nearby radiation sources used for
    other measurements. This is not expected to be a major problem and can
    be controlled through (1) removing radiation sources, (2) shielding the
    detectors, and (3) monitoring the background at frequent intervals.
3. CALIBRATION AND VERIFICATION
    3.1 INITIAL OPERATIONS
    Calibration and the verification of assay predictions is an
    ongoing effort where performance is periodically monitored and the
    calibration relationship is modified to improve the accuracy of assay
    predictions. During initial operations, two means of basing preliminary
    calibrations are appropriate.
    3.1.1Foil Calibration Technique
    Methods for calibrating scanning systems for high-enrichment
    uranium fuel plates through the assay of prepared uranium and clad foils
    are described in Reference 2. This method may be used in place of or in
    addition to the technique described in the following subsection.
    3.1.2Fabricated Calibration Plates
    Calibration standard, fuel plates can be fabricated using special
    precautions to ensure that the amounts of uranium, U-235, inert matrix,
    and cladding are accurately measured and that these parameters bracket
    the nominal range of product plates anticipated to fall within
    manufacturing tolerances.
    3.2 ROUTINE OPERATIONS
    The performance of the assay system is periodically monitored to
    ensure that the performance of the assay system has not shifted since
    its last calibration. Control limits for acceptable performance can be
    established for the response to an appropriate working standard. The
    control chart of the responses to the working standard can be checked
    for indications of short-term instrument drift or malfunction. The
    control chart can also be analyzed to detect long-term shifts within the
    measurement-to-measurement control limits that may be corrected by
    recalibrating the system. Severe changes in instrument performance are
    investigated promptly and their causes remedied.
    To ensure that the calibration remains valid during normal
    operations and that accuracy estimates are rigorously justified, assay
    predictions are periodically compared with more accurate measurements of
    the content of typical fuel plates (see Section C.4 of this guide).
    Guidance on methods to relate this assay to the national measurement
    system and to reconcile verification measurements will be addressed in
    separate regulatory guides.(*)C. REGULATORY POSITION
    The content and distribution of U-235 in high-enrichment uranium
    plates can be measured through the gamma ray assay methods described in
    this guide. Combining this measurement with the results of an
    independent measurement of the U-235 enrichment enables the total
    uranium content of the fuel plates to be measured. The factors
    presented below should be taken into consideration for this assay method
    to be acceptable to the Regulatory staff.
1. MEASUREMENT SYSTEM
    1.1 GAMMA RAY MEASUREMENT SYSTEM
    1.1.1Gamma Ray Detector
    A thallium-activated sodium iodide scintillation detector or
    series of detectors is recommended for this assay application. When
    more than one detector is to be incorporated into the scan system, the
    performance characteristics of the detectors should be matched. The
    diameter of the crystal should be larger than the projected view onto
    the crystal face through the collimator channel. The thickness of the
    crystal should be no more than one inch. The crystal should contain an
    internal cesium iodide seed which is doped with a suitable alpha-emitter
    for spectral stabilization. The seed should produce approximately 1,000
    counts per second at the reference energy.
    ----------
    (*) For example, regulatory guides related to measurement quality
    assurance and calibration of nondestructive assay systems are being
    developed.
    ----------
    1.1.2Collimator
    A collimator should be fabricated of appropriate gamma ray
    shielding material such as iron, lead, or tungsten. The shielding
    should completely surround the detector and photomultiplier assembly and
    should be sufficiently thick to completely block extraneous radiations
    from the detector. The response variation from the center of the
    collimator opening to its edge should be less than 1%.
    1.1.3Electronic Apparatus
    All electronic systems should be powered by filtered, highly
    regulated power supplies. The ambient temperature and humidity in the
    vicinity of the scanning system should be controlled so that permitted
    fluctuations do not significantly affect the assay measurements. All
    electronic circuitry in signal-processing components should feature
    temperature compensation. Residual sensitivity to fluctuations in the
    ambient environment should be tested and monitored periodically.
    The capability for multichannel gamma ray pulse height analysis
    with cathode ray tube spectral display should be provided.
    Signal-processing electronics capable of stabilizing on the alpha
    radiations emitted within the doped cesium iodide seed should be
    provided to stabilize the energy spectrum.
    1.2 SCANNING SYSTEM
    A mechanically sound, highly reproducible scanning system should
    be employed. Scanning should be accomplished by one of the three
    techniques discussed in Section B.1.2 of this guide.
    1.3 COMPUTER CONTROL
    A dedicated minicomputer to control data acquisition, analysis,
    calibration, diagnostic testing, and report preparation should be
    employed for this assay application.
    1.4 MULTIPLE SCANNING ASSAY SYSTEMS
    When more than one scanning system is employed, assay response
    should be normalized so that each instrument provides consistent
    results. Verification data to establish the systematic assay error for
    each assay system should be obtained with the same plate.
2. MEASUREMENT INTERPRETATION
    2.1 ENRICHMENT VARIATIONS
    Procedures should be developed to ensure that the enrichment of
    the plates being scanned is known through separate measurements. Fuel
    plates generally satisfy the gamma ray penetrability criteria for
    quantitative U-235 assay; they do not satisfy the criteria for
    nondestructive enrichment measurement through gamma ray spectrometry.(*)
    Facilities processing more than one uranium enrichment should maintain
    strict isotopic control and characterize the enrichment through
    appropriate measurement methods.
    2.2 ATTENUATION CORRECTIONS
    Attenuation variations arising from plate-to-plate changes in core
    thickness, composition, and clad thickness should be determined over the
    range of product tolerance specifications. When such variations cause
    the assay error to exceed the error realized without the variations by
    50% or more, procedures should be implemented to measure and apply a
    correction to the assay of each plate.
    2.3 RADIATION INTERFERENCES
    A clear plastic template which shows an acceptable spectrum
    display should be prepared. When radioactive interference may be
    encountered, the assay spectrum should be compared at appropriate
    intervals to the reference spectrum for indications of interference.
    Background radiation should be measured periodically during each
    operating shift.
3. MEASUREMENT CALIBRATION
    During initial operations, the assay system should be calibrated
    either by the foil calibration method or with specially prepared sample
    fuel plates as described in Section B.3.1 of this guide.
4. RANDOM AND SYSTEMATIC ASSAY ERRORS
    4.1 RANDOM ERROR ESTIMATION
    A replicate assay program should be established to generate data
    for the evaluation of random assay errors during each material balance
    period. During each bimonthly interval, a minimum of fifteen plates
    should be selected for replicate assay. The second assay of each plate
    selected for replicate assay should be made at least four hours after
    the first assay. Replicate assay differences should be collected and
    analyzed at the end of the material balance period. The
    single-measurement standard deviation of the relative replicate assay
    differences should be computed as described in Reference 4.
    ----------
    (*) Criteria for uranium gamma ray enrichment measurements are
    given in Regulatory Guide 5.21, "Nondestructive Uranium-235 Enrichment
    Assay by Gamma Ray Spectrometry."
    ----------
    4.2 SYSTEMATIC ERROR ESTIMATION
    The systematic error associated with the assay of all fuel plates
    fabricated during a material balance period should be determined through
    one of the procedures(*) presented below.
    4.2.1Propagation through the Calibration Function
    To estimate the systematic assay error through the calibration
    function, the calibration should be based on the regression analysis of
    an appropriate function to the calibration data. Uncertainties in the
    reference values of the calibration standards should be factored into
    the fit, and the errors propagated as demonstrated in Reference 5.
    To ensure the validity of the predictions, the stable performance
    of the instrument should be monitored and normalized through the
    response to appropriate working standards which are assayed at frequent
    intervals. The frequency for assaying working standards should be
    determined through testing, but should not be lower than one test during
    each two-hour assay interval for spot response stability and one full
    scan test during each operating shift. Indications of shifting
    instrument performance should be investigated and remedied, and the
    instrument should be recalibrated to ensure the validity of subsequent
    measurements.
    In order to ensure that the calibration standards continue to
    adequately represent the unknown fuel plates, key production parameters
    which affect the observed response should be monitored through separate
    tests. Data should be compiled and analyzed at the close of each
    material balance period. When a production parameter shifts from
    previously established values, the impact of the shift on the response
    of the assay instrument should be determined through an appropriate
    experiment or calculation (Ref. 6). A bias correction should be
    determined and applied to all items assayed from the point of the
    parameter change. The uncertainty in the bias should be combined with
    the systematic error predicted through the calibration function. When
    the bias exceeds 3% of the plate contents in a single material balance
    period, when a trend of 1.5% or more is observed in three consecutive
    material balance periods, or when the uncertainty in the observed bias
    is sufficient to increase the limit of error of the assay above 0.5%,
    new calibration standards should be obtained, and the scanning system
    should be recalibrated.
    As a further check on the continued validity of the calibration
    standards, a program to periodically introduce new calibration standards
    should be implemented. A minimum of one new calibration standard fuel
    plate should be introduced during each six-month period.
    ----------
    (*) These methods will be discussed in detail in a regulatory
    guide in preparation entitled "Calibration and Error Estimation
    Procedures for Nondestructive Assay."
    ----------
    4.2.2Comparative Evaluation
    When two measurements are made on each of a series of items and
    the accuracy of one of the methods used is considerably greater than the
    other, the corresponding predictions can be compared to establish an
    estimate of bias between the measurement methods and to estimate the
    error associated with the less-accurate measurement method. To
    precisely determine the systematic error in the nondestructive assay,
    the fuel plates selected for comparative measurements should be randomly
    selected but should span the range of U-235 contents encountered in
    normal production. The selected fuel plates may be rejected from the
    process stream for failing to meet quality assurance requirements. Each
    plate should be repeatedly assayed to reduce the random assay error to
    less than 10% of the estimated or previously established systematic
    error. To determine its U-235 and total uranium content, the plate
    should be completely dissolved and the resulting solution should be
    analyzed by high-accuracy chemical and mass spectrometric procedures.
    For one material balance period during the initial implementation
    of this guide, a product fuel plate should be randomly selected twice
    each week for an accuracy verification measurement. Following this
    initial implementation period, facilities manufacturing 100 or more fuel
    plates per week may reduce the verification frequency to one plate per
    week and pool the verification data for two consecutive material balance
    periods. Low-throughput facilities manufacturing less than 100 plates
    per week should verify at least 4 plates per material balance period
    through the procedures described above. At the close of each material
    balance period, data should be pooled to include only the 15 most
    current data points.
    When the U-235 contents of the plates assayed using a common
    calibration relationship varies over a range of Plus or Minus 5% or more
    about the average of all plate loadings, the systematic error should be
    estimated as described in paragraph 1. below; when plate loadings are
    tightly clustered about a nominal value, the systematic error should be
    estimated as described in paragraph 2.
1. At the close of the reporting period, the assay value for
    each plate is plotted against the verified quantity. The verification
    data plot is examined for indications of nonlinearity or obvious outlier
    data. Anomalous indications should be investigated and remedied.
    A linear regression analysis should be performed on the comparison
    data. The intercept should be tested against zero for an indication of
    a constant measurement bias. The slope should be tested against unity
    for an indication of a proportional bias. When bias is indicated,
    assays performed during the preceding operating period should be
    compensated. The systematic error should be estimated as the standard
    error associated with the verification line.
2. When all plates contain essentially the same U-235 content,
    the difference in the mean content values should be tested against zero
    as an indication of bias, and the systematic error associated with an
    inventory of plates should be quoted as the standard deviation of the
    mean difference. For individual plates, the systematic error should be
    quoted as the standard deviation of the difference distribution.
5. CORE COMPACT ASSAY
    Final product assay in high-enrichment fuel plate manufacturing
    can also be accomplished through assaying each core compact following
    the procedures detailed in this guide and the following supplemental
    criteria:
1. Each core compact should carry a unique identification.
    Accountability records should be created for each compact. The fuel
    plate should carry an identification corresponding to the compact
    identification.
2. Each fuel plate should be radiographically examined to
    ensure that the entire compact has been encapsulated.
3. Each fuel plate should be checked with a gamma ray probe to
    qualitatively ensure that the plate core is uranium of the nominal
    product enrichment.
4. Calibration and error evaluation should follow the
    procedures for fuel plate assay.
    REFERENCES
1. J.E. Cline, R.J. Gehrke, and L.D. McIsaac, "Gamma Rays Emitted by
    the Fissionable Nuclides and Associated Isotopes," ANCR-1029 (July
    1972).
2. N.S. Beyer, "Assay of U-235 in Nuclear Reactor Fuel Elements by
    Gamma Ray Scintillation Spectrometry," Proc. 4th Intl. Conf. on
    Nondestructive Testing, London, 1963.
3. J.H. Hubbell, "Photon Cross Sections, Attenuation Coefficients,
    and Energy Absorption Coefficients from 10 keV to 100 GeV," Nat.
    Bur. Stds. NSRDS-NBS 29 (1969).
4. John L. Jaech, "Statistical Methods in Nuclear Materials Control,"
    TID-26298 (1973).
5. American National Standard N15.20, "Guide to Calibrating
    Nondestructive Assay Systems," in preparation. Copies of the
    draft standard may be obtained from Institute of Nuclear Materials
    Management, 505 King Avenue, Columbus, Ohio 43201 (Attention:
    H.L. Toy).
6. See, for example, R.A. Forster, D.B. Smith, and H.O. Menlove,
    "Error Analysis of a Cf-252 Fuel Rod Assay System," LA-5317
    (1974).
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