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Design Analysis Major Revision Cover Sheet Design Analysis (Major Revision) Analysis No.:’ PM-1083 Revision: 2 0 Title: LLRWSF Shielding Analysis for HIC or Liner Storage ECIECR No.: 09-00301 RevisIon: 0 Last Page No. 6 9 / Att. J, Page J4 Station(s): Peach Bottom Component(s): LLWRSF Unit No.: 2&3 N/A DiscIpline: MECH Descrip. Code/Keyword: ‘5 Safety/OA Class: 1 Non-Safety Related System Code: 12 N/A Structure: 13 N/A CONTROLLED DOCUMENT REFERENCES Document No.: FromiTo Document No.: FromlTo PBAPS Caic PM-0750 From PBAPS Caic PM-0753 From PBAPS Cab PM-0758 From PBAPS=Calc PM-0759 From PBAPS Drawing M-2406 From is this Design Analysis Safeguards information? Yes U No If yes, see SY-AA-101 -106 Does this Design Analysis contain Unverified Assumptions? ‘‘ Yes EJ No If yes, ATI/AR#: This Design Analysis SUPERCEDES: 18 None in its entirety. Description of Revision (list affected pages for partials): Preparer: Paul Reiche /‘J! 0 7 Prr,t Name Sign Name Oat Method of Review: 21 Detailed Review Alternate Calcula io s (atta ed) fl Testing U Reviewer: Andy Woodruffe O’/2. 8/2 c;zoC1 Print Name S e 0 e Review Notes: 23 Independent review Peer review All inputs, assumptions, approaches, numerical analyses, and results were independently reviewed and ecked. External Approver: Don Gardner Exelon Reviewer: 25 j ,4Ti ?- !/ P9nfName Sit,e tYóte independent 3 Party Review Reqd? Yes U No Exelon Approver: Pint Name Sign Name Date

PBAPS PM-1083 Shielding Analysis w approval. · B. VISED MCNP Model Illustrations C. Single Container MCNP Modeling for Shielding Evaluations D. Single Storage Cell MCNP Modeling

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  • Design Analysis Major Revision Cover SheetDesign Analysis (Major Revision)

    Analysis No.:’ PM-1083 Revision: 2 0Title: LLRWSF Shielding Analysis for HIC or Liner StorageECIECR No.: 09-00301 RevisIon: 0

    Last Page No. 6 9 / Att. J, Page J4

    Station(s): Peach Bottom Component(s): ‘ LLWRSFUnit No.: 2&3 N/ADiscIpline: MECHDescrip. Code/Keyword: ‘5

    Safety/OA Class: 1 Non-Safety RelatedSystem Code: 12 N/AStructure: 13 N/A

    CONTROLLED DOCUMENT REFERENCES ‘

    Document No.: FromiTo Document No.: FromlToPBAPS Caic PM-0750 From

    PBAPS Caic PM-0753 From

    PBAPS Cab PM-0758 From

    PBAPS=Calc PM-0759 From

    PBAPS Drawing M-2406 From

    is this Design Analysis Safeguards information? ‘ Yes U No If yes, see SY-AA-101 -106Does this Design Analysis contain Unverified Assumptions? ‘‘ Yes EJ No If yes, ATI/AR#:This Design Analysis SUPERCEDES: 18 None in its entirety.Description of Revision (list affected pages for partials):Preparer:

    Paul Reiche /‘J! 0 7Prr,t Name Sign Name OatMethod of Review: 21 Detailed Review Alternate Calcula io s (atta ed) fl Testing UReviewer: Andy Woodruffe O’/2. 8/2 c;zoC1Print Name S e 0 eReview Notes: 23 Independent review Peer review

    All inputs, assumptions, approaches, numerical analyses, and results were independently reviewed and ecked.

    External Approver: Don Gardner

    Exelon Reviewer: 25 j ,4Ti ?- !/P9nfName Sit,e ‘ tYóte

    independent 3 Party Review Reqd? Yes U NoExelon Approver:

    Pint Name Sign Name Date

  • CC-AA-309Revision 9

    Page l7of 17

    ATTACHMENT IOwners Acceptance Review Checklist for External Design Analysis

    Page 1 of I

    DESIGN ANALYSIS NO. PM-iC 83 REV:

    _____

    Yes No N/A1. Do assumptions have sufficient rationale? El El2 Are assumptions compatible with the way the plant is operated and with the

    licensing basis?

    3. Do the design inputs have sufficient rationale? E1- El ElAre design inputs correct and reasonable with critical parameters identified, if

    * appropriate?

    Are design inputs compatible with the way the plant is operated and with thelicensing basis?

    6. Are Engineering Judgments clearly documented and justified?

    Are Engineering Judgments compatible with the way the plant is operatedand with the licensing basis?

    8 Do the results and conclusions satisfy the purpose and objective of theDesign Analysis?

    Are the results and conclusions compatible with the way the plant is operatedand with the licensing basis?

    10 Does the Design Analysis include the applicable design basis Eldocumentation?Have any limitations on the use of the results been identified and transmitted Elto the appropriate organizations?

    12. Are there any unverified assumptions? El13 Do all unverified assumptions have a tracking and closure mechanism in El• place?

    14 Have all affected design analyses been documented on the Affected El El LiYDocuments List (ADL) for the associated Configuration Change?Do the sources of inputs and analysis methodology used meet currenttechnical requirements and regulatory commitments? (If the input sources or

    15. analysis methodology are based on an out-of-date methodology or code, El Eladditional reconciliation may be required if the site has since committed to amore recent code)

    16 Have vendor supporting technical documents and references (including GE El El* DRFs) been reviewed when necessary?

    17 Have margin impacts been identified and documented appropriately for any El El* negative impacts (Reference ER-AA-2007)?

    EXELON REVIEWER IJ /t1j DATE

    ______

    Pri fSigii / !/ j

  • CALCULATION NO. PM-1083 REV. NO. 0 PAGE NO. 2 of 8

    Table of Contents 1. Purpose.............................................................................................................................................3 2. Inputs ................................................................................................................................................3 3. Assumptions .....................................................................................................................................4

    3.1 Verified Assumptions ................................................................................................................4 3.2 Unverified Assumptions ............................................................................................................4

    4. References........................................................................................................................................4 5. Identification of Computer Programs ................................................................................................5 6. Method of Analysis............................................................................................................................5 7. Numerical Analysis ...........................................................................................................................5

    7.1 Isotopic Analysis .......................................................................................................................5 7.2 VISED Geometry and MCNP Model Testing ............................................................................6 7.3 HIC Baseline Model ..................................................................................................................6 7.4 Skyshine Analysis .....................................................................................................................6 7.5 Wall Shielding Assessment.......................................................................................................7 7.6 Intermittent Dose Considerations..............................................................................................7

    8. Results ..............................................................................................................................................8 8.1 Dose Rates over Filled Cells.....................................................................................................8 8.2 Skyshine vs. Distance ...............................................................................................................8 8.3 Wall Shielding Assessment.......................................................................................................8

    9. Conclusions ......................................................................................................................................8

    Attachments

    A. Container MicroShield Modeling, Including Isotopic Tests B. VISED MCNP Model Illustrations C. Single Container MCNP Modeling for Shielding Evaluations D. Single Storage Cell MCNP Modeling for Dose Rate Evaluations over Cell and for Translated

    Source Generation E. MCNP Modeling for Skyshine from Central 15 Cells F. MCNP Modeling for Wall Shielding Evaluation G. Spreadsheet for Dose Evaluations based on MCNP Results H. LLRWSF – Potential Nearest Resident Distance Measurement I. Reviewer Notes J. Computer Disclosure Sheets

  • CALCULATION NO. PM-1083 REV. NO. 0 PAGE NO. 3 of 8

    1. Purpose The Peach Bottom Atomic Power Station (PBAPS) Low-Level Radioactive Waste Storage Facility (LLRWSF) is an existing facility for the storage of radioactive waste that is either being staged for shipment for disposal, or for waste storage if a disposal site is not available. The LLRWSF can also be used for decay in storage before shipment. Shielding analyses were performed as part of the original design and again in the early 1990’s (See References 1, 2, and 3). In general, those analyses were for drum storage filling the storage cells, with source terms considered appropriate at that time. These historical analyses, and the resulting design are conservative and yielded capabilities and storage flexibility that can address a wide variety of waste source configurations and radioactivity levels. However, the LLRWSF mission, as reanalyzed in this calculation, is specifically for the storage of Class B & C resin in Energy Solutions 8-120 High Integrity Containers (HICs). This may be required for an extended period of time due to disposal site unavailability. These types of waste, on average, may also contain more radioactivity that assumed in original design analyses. Shielding analyses in this calculation are designed to conservatively encompass not only PBAPS waste but also for the possibility that waste could be transported from the Limerick Generating Station (LGS) for storage in the LLRWSF. Analyses are based on container contact dose rates. This will be the primary operational parameter used to assure that waste will be stored such that offsite and onsite dose rate limits are met, and that the ALARA principle is followed.

    2. Inputs

    1. Based on recent operating experience, a bounding container from PBAPS is expected to be dewatered resin with a contact dose rate of 400 R/hr. This provides for some allowance for the use of a decay in storage period prior to transport to offsite locations. Bounding containers from LGS are to be treated as dewatered resin with a contact dose rate of 250 R/hr, which is considered a reasonable upper bound of immediately shippable waste with a high Co-60 content. Since PBAPS waste is bounding, all stored waste is analyzed as having a contact dose rate of 400 R/hr for central cells. Dose rates for peripheral cells are to be determined based on wall shielding evaluations.

    2. Concrete shielding density is 140 lb/ft3, conservative and consistent with existing shielding calculations.

    3. Dose rates to offsite receptors are controlled by 40CFR190 and limited to 1 mrem/year. This is a small fraction of the 40CFR190 limit for all nuclear fuel cycle activities of 25 mrem/year.

    4. Dose rates in areas outside of, but in the immediate vicinity of the LLRWSF, will be limited to less than 1 mrem/hour, to assure that occupation doses in the LLRWSF vicinity will be within 10CFR20 limits and ALARA. This is an increase from the 0.25 mrem/hr criterion used in original design analyses, but consistent with values used at other Exelon nuclear power stations.

  • CALCULATION NO. PM-1083 REV. NO. 0 PAGE NO. 4 of 8

    3. Assumptions

    3.1 Verified Assumptions

    1. Based on the fact that Co-60 can frequently dominate waste contact doses, and because it is the most conservative expected isotope for shielding purposes, a Co-60 only assumption is used. For shielding purposes, this is more conservative that isotopic mixes historically used in LLRWSF shielding analyses (See Attachment A).

    2. Storage Cell configuration and dimensions are taken from Reference 4. 3. Waste container are simplified as simply waste in a 5 foot diameter cylinder filled to a 6 foot

    height, with a specific gravity of 0.9, with radioactivity levels set to yield the identified contact dose limit. This same configuration and waste strength is then used in shielding analysis.

    4. Waste cells, when filled; contain 4 layers of 4 containers each. Based on data collected and discussions with operators, the bottom of waste packages are set at 22.0, 124.5, 227.0, and 329.5 inches above the floor, which is treated as 36 feet below the bottom of cell shield plugs. Each container is centered in its quadrant of the cell. No credit is taken for any shielding effect of the tables that support these packages.

    5. Waste cells are modeled based on a nominal 400 R/hr contact container. The central 15 cells are explicitly modeled in this calculation. As a reasonable approximation, Skyshine doses are considered proportional to the average contact dose rate of upwardly exposed containers, the number of such containers, and, effectively, the number of cells in use.

    6. Based principally on the assumption 5, 15 full (16) container waste cells on the periphery, and the 5 half cells (south end) are approximated proportionately in terms Skyshine effects to the central cells’ results. This assumption is based on experience with these types of analyses.

    7. Assumptions 5 and 6 are considered extremely conservative with respect to possible filling strategies for the LLRWSF, for the following reasons:

    a. All containers will not be worst case; and b. Only about 4 containers per year would be anticipated to require long term storage if

    Class B and C waste cannot be shipped for disposal. This results in substantial decay as waste accumulates.

    Nonetheless, this assumption is used since dose criteria are met even in this extreme.

    3.2 Unverified Assumptions None.

    4. References

    1. PBAPS Calculation PM-753, Rev.0, “Bulk Storage Shielding Analysis – Direct Dose Rate Analysis”

    2. PBAPS Calculation PM-758, Rev.0, “Skyshine Dose Rate Analysis” 3. PBAPS Calculation PM-759, Rev.0, “Dose Rate for Intermittent Conditions and Summary of

    Line Storage Analysis” 4. PBAPS Drawing M-2406, Rev. 9, “Onsite Radwaste Storage Facility Plan – El. 135’ 6” and

    Section B-B Looking West”

  • CALCULATION NO. PM-1083 REV. NO. 0 PAGE NO. 5 of 8

    5. Identification of Computer Programs The following computer programs are used in this calculation, along with spreadsheets. The programs below are qualified for safety-related use under the URS-Washington Division QA procedures.

    1. MicroShield: A computer program used for evaluation of some simple geometry problems. This program uses point-kernel methodology as does the QAD-CGGP computer program used in Reference 1.

    2. MCNP: A computer program used for complex geometry calculations including Skyshine analyses. This program uses Monte Carlo methodology as does the MORSE-CGA program used in Reference 2

    These newer programs use a simpler and more sophisticated handling of input that, particularly in the MCNP case, facilitates more detailed input. Methodologies are effectively the same as previously used in LLRWSF shielding analyses.

    6. Method of Analysis The shielding analyses in this calculation are based on management of LLRWSF loading principally based on observed container contact dose rates. The steps in these analyses are as follows:

    A. An individual container MicroShield model is developed, along with selection of isotopic assumptions. Individual container MCNP models are developed to determine the source strength needed for a given contact dose rate.

    B. An individual cell is modeled, with one, two, three, and four high stacking of filled layers. This model provides the basis for calculating dose rates immediately above the cell, and also creates a “surface source” from a cell that is used in the overall building Skyshine analysis.

    C. A building model is prepared that models the 35 cells, with the central 15 having the “surface source” developed in step B.

    D. A wall model is developed reflecting a filled cell to determine contact dose rate limitation for containers in the outside cells.

    E. A spreadsheet is developed to turn the result discussed above into actual dose rate calculations. This is because the MCNP models are run on a dose rate per photon/second basis.

    F. The dose results for shielding from historically analyzed transient conditions are adjusted based on new source terms and container geometries.

    G. The above analyses are used to establish limitations on contact dose rates for containers placed in central and peripheral cells.

    H. The above analyses also provide bases for assuring that dose rates limits outside of the building are met, and possibly a basis for Skyshine prediction that could supplement and support predictions based on exterior Thermoluminescent Dosimeters (TLDs).

    7. Numerical Analysis

    7.1 Isotopic Analysis Attachment A contains a MicroShield based justification for the use of an all-Co-60 based source term for shielding, rather than the historically used mix from Reference 1 and 2. This assumption is conservative, but not inordinately so.

  • CALCULATION NO. PM-1083 REV. NO. 0 PAGE NO. 6 of 8

    7.2 VISED Geometry and MCNP Model Testing VISED is a visual editor for MCNP that provides visual images of model geometries, and also allows particle test illustrating source locations and scatter events. Attachment B contains these images and are discussed below with respect to individual models.

    7.3 HIC Baseline Model Attachment C contains an MCNP run for modeling contact dose rates for a single HIC with a homogeneous waste source 6 feet high and 5 feet in diameter. Page 1 of Attachment B, top figure, shows the geometry. Surface crossing detectors are used at 1 inch (nominal contact) and 1 meter from the waste source. The horizontal lines segment the surface axially to allow the assessment of axial variation and to assure that peaking is considered. Surface crossing detectors can be thought of as tallying particles crossing the surface (angle corrected), dividing by the surface area to determine a fluence, and then applying a fluence to dose conversion factor as a function of photon energy. The net result is a rem/hr per photon/sec value. All MCNP analyses are run on a single photon per second source basis. This run is used to establish the amount of activity (photons/sec) necessary to yield a 400 R/hr contact container. This derivation is shown in the Spreadsheet in Attachment G.

    7.4 Skyshine Analysis Basic Cell Geometry The modeling of the LLRWSF is a classical “deep penetration” problem, both because of the 2 foot thick concrete shield overlying the storage cells, and the thickness of air through which the Skyshine analysis is being performed. Therefore, for variance reduction, this analysis is performed in two steps. The first step is to model an individual interior cell. MCNP runs are made for 1, 2, 3, and 4 layer stacking and included in Attachment D. For operational information, doses are also calculated at 1 inch above the cell cover. Page 1 of Attachment B, bottom figure, shows the geometry. Page 2 of Attachment B, top figure demonstrates that source particles, in fact, originate in the containers. Page 2 of Attachment B, bottom figure, demonstrates that behavior of the photon population being scattered by walls, and being transported through the cell cover. Additionally, a surface source is written to a file that collects data of particles exiting through top of the cell in terms of particle weight, direction, and energy. Lateral surfaces of the cell are one half of the wall thickness, and mirrored to simulate the effect of an infinite array for purpose of the cell being modeled. This surface source is used in the actual Skyshine analysis. Basic Skyshine Geometry The LLRWSF is simplified as shown in Page 3 of Attachment B, top figure. The DAW, adjacent compartment and the truck bay are conservatively ignored to maximize dose rates in the immediate vicinity of the LLRWSF. Page 3 of Attachment B, bottom figure demonstrates that the surface source generated in the cell model is properly translated over the 15 interior cells. The walls and roof above the cell are consistent with the design of these bodies, as previously analyzed. Page 4 of Attachment B, top figure shows the Skyshine model geometry. In essence, spherical surfaces are place concentrically around the waste center (also the modeled building center). Two types of surface crossing detectors are used. The first is based on photons crossing the ground surface, which is segmented by the concentric spheres. The detector distance is taken as nominally at

  • CALCULATION NO. PM-1083 REV. NO. 0 PAGE NO. 7 of 8

    the midpoint distance between adjacent spheres. The second surface crossing detector is the surface of the spheres themselves, from the ground up to the waste height. The MCNP run for Skyshine assessment is in Attachment E, addressing the central 15 cells. This derivation of doses as a function of distance is shown in the Spreadsheet in Attachment G. Variance Reduction MCNP is a Monte Carlo analysis tool, and variance reduction techniques must be used to obtain acceptable statistics for complex geometries such as modeled in this analysis.

    The first technique used is importance biasing through the shield cap cell atop the storage vaults. This shield has three inch segments, and importances such that particle splitting is applied to maintain the photon population through the shield.

    Importances are also used in the Skyshine model to maintain photon population as a function of distance.

    A source translation is also performed to write a surface source above a storage vault, which is then replicated above other vaults, and then re-run for Skyshine analysis.

    Dose Conversion Factor Dose conversion factors are taken from ANSI/ANS-6.1.1 (1977) (Table H.2 of the MCNP Manual)

    7.5 Wall Shielding Assessment Attachment F, shows the wall shielding model used to determine a limit on container contact such that a 1 mrem/hr dose rate would not be exceeded. Geometrically, this model uses the same arrangement of containers as the Skyshine analyses, but models a periphery cell, where the waste is somewhat further from the outside surface due to crane travel limitations. Here, the outside wall is segmented for variance reduction importance utilization. Attachment F contains the MCNP run for the wall shielding assessment. The Attachment G spreadsheet show the derivation of contact dose limits to assure that contact dose rates outside of the LLRWSF are less than or equal to 1 mrem/hr. The Skyshine contribution in the immediate vicinity of the IRSF is calculated to be negligible.

    7.6 Intermittent Dose Considerations Reference 3 evaluated and provided the following results for various intermittent and upset conditions for the LLRWSF.

  • CALCULATION NO. PM-1083 REV. NO. 0 PAGE NO. 8 of 8

    Because of the new all Co-60 assumption and the increase in contact dose rate these results should be multiplied by 4.5 (an extremely conservative factor given only an approximate increase in contact dose rate of a factor of 2) to increase the source term effects as detailed in Attachment A. These adjusted results remain acceptable.

    8. Results

    8.1 Dose Rates over Filled Cells Dose rates directly above cells are effectively a function of fill height, number of upwardly exposed containers and stacked height. This analysis has shown that it is unlikely that contact dose rates on top of the vaults will exceed 100 mR/hr. Even when filled four levels high with each HIC at 400 R/hr the average dose rate above the vaults is slightly under 100 mR/hr, with localized hot spots marginally over 100 mR/hr.

    8.2 Skyshine vs. Distance The spreadsheet in Attachment G evaluates Skyshine based on the assumption that the central 15 cells are filled with 400 R/hr contact dose rate containers, and the peripheral cells are filled with 125 R/hr contact dose rate containers.

    8.3 Wall Shielding Assessment The Attachment G spreadsheet shows that the dose rate on the lower radiation side of the shield wall remains ~ 1mR/hr even with the outer vaults filled with HICs up to 125 R/hr on contact.

    9. Conclusions Analyses in this calculation demonstrate the following:

    1. The central cells could be filled with 400 R/hr contact dose rate containers, and the peripheral cells filled with 125 R/hr contact dose rate containers, and the dose rates outside of the LLRWSF, both onsite and offsite, would meet dose rate limits and goals. In fact, this is a likely upper bound on expected containers, and substantial decay in storage would reduce the likelihood of approaching the calculated exterior dose rates.

    2. Dose rates immediately over a cell filled with 400 R/hr contact containers could approach high radiation conditions (> 100 mrem/hr). Cells filled to less than 4 layers high would have significantly lower dose rates over the cells, and be expected to have proportionally lower external dose effects.

    3. Intermittent doses are higher than those calculated in PM-0759 but are still acceptable. 4. The calculated dose rate to the nearest offsite residence location is less than 1 mrem/year, even

    with the bounding source assumptions. 5. Realistically, dose rates outside of the building from Skyshine are unlikely to exceed 10% of the

    calculated values, given more realistic HIC contact dose rates and decay effects. 6. Dose rates in the immediate vicinity of the walls will be proportional to container contact dose

    rates in the near vicinity, and are considered predictive, though multiple containers are assumed to contribute.

    7. Results from this calculation could be used to predict doses to 40CFR190 receptors, but in any case these doses are expected to be small compared to dose goals and very small compared to regulatory limits.

  • MicroShield v5.05 (5.05-00211)Raytheon Engineers & Constructors

    Page : 1DOS File: PBAPS.MS5Run Date: April 17, 2009Run Time: 11:51:22 AMDuration: 00:00:15

    File Ref: __________________Date: __________________

    By: __________________Checked: __________________

    Case Title: Case 1Description: Case 1

    Geometry: 7 - Cylinder Volume - Side Shields

    Source DimensionsHeight 182.88 cm 6 ftRadius 76.2 cm 2 ft 6.0 in

    Dose PointsX Y Z

    # 1 78.74 cm 91.44 cm 0 cm2 ft 7.0 in 3 ft 0.0 in

    ShieldsShield Name Dimension Material DensitySource 3.34e+06 cm³ Water 0.9Transition Air 0.00122Air Gap Air 0.00122

    Source InputGrouping Method : Linear Energy

    Number of Groups : 25Lower Energy Cutoff : 0.015Photons < 0.015 : Excluded

    Library : GroveNuclide curies becquerels µCi/cm³ Bq/cm³Ag-110m 4.5900e+000 1.6983e+011 1.3759e+000 5.0908e+004Ba-137m 6.6620e+001 2.4649e+012 1.9970e+001 7.3889e+005Co-58 1.1453e+001 4.2376e+011 3.4332e+000 1.2703e+005Co-60 1.5100e+002 5.5869e+012 4.5263e+001 1.6747e+006Cs-134 6.0870e+001 2.2522e+012 1.8246e+001 6.7511e+005Cs-137 7.0423e+001 2.6056e+012 2.1110e+001 7.8107e+005Mn-54 7.4431e+000 2.7539e+011 2.2311e+000 8.2552e+004Nb-95 2.5643e+000 9.4879e+010 7.6868e-001 2.8441e+004Sr-92 1.0112e+002 3.7415e+012 3.0313e+001 1.1216e+006Zn-65 2.6075e+002 9.6478e+012 7.8162e+001 2.8920e+006

    BuildupThe material reference is : Source

    Integration ParametersRadial 15Circumferential 36Y Direction (axial) 20

    ResultsEnergy Activity Fluence Rate Fluence Rate Exposure Rate Exposure RateMeV photons/sec MeV/cm²/sec MeV/cm²/sec mR/hr mR/hr

    No Buildup With Buildup No Buildup With Buildup0.0328 1.980e+11 2.896e+03 7.504e+03 2.207e+01 5.718e+010.0989 1.624e+07 1.319e+00 8.827e+00 2.018e-03 1.350e-020.2415 1.111e+11 2.898e+04 1.220e+05 5.314e+01 2.238e+020.2769 7.973e+08 2.500e+02 9.663e+02 4.689e-01 1.813e+000.3686 2.070e+08 9.611e+01 3.194e+02 1.862e-01 6.189e-01

    Calculation No. PM-1083, Rev. 0 Attachment A, (Page A1 of A2)

  • Page : 2DOS File: PBAPS.MS5Run Date: April 17, 2009Run Time: 11:51:22 AMDuration: 00:00:15

    Energy Activity Fluence Rate Fluence Rate Exposure Rate Exposure RateMeV photons/sec MeV/cm²/sec MeV/cm²/sec mR/hr mR/hr

    No Buildup With Buildup No Buildup With Buildup0.4313 1.308e+11 7.560e+04 2.333e+05 1.479e+02 4.564e+020.5079 4.422e+11 3.217e+05 9.211e+05 6.314e+02 1.808e+030.5672 5.368e+11 4.566e+05 1.248e+06 8.938e+02 2.443e+030.6342 4.602e+12 4.591e+06 1.199e+07 8.929e+03 2.332e+040.6948 6.061e+10 6.894e+04 1.736e+05 1.331e+02 3.351e+020.7944 2.260e+12 3.120e+06 7.465e+06 5.940e+03 1.421e+040.8204 7.122e+11 1.030e+06 2.436e+06 1.954e+03 4.620e+030.9016 1.813e+11 3.010e+05 6.890e+05 5.639e+02 1.291e+030.9534 1.349e+11 2.431e+05 5.461e+05 4.516e+02 1.015e+031.0386 2.252e+10 4.603e+04 1.005e+05 8.429e+01 1.841e+021.1155 4.896e+12 1.112e+07 2.373e+07 2.009e+04 4.286e+041.1726 5.735e+12 1.403e+07 2.946e+07 2.507e+04 5.265e+041.3325 5.587e+12 1.653e+07 3.334e+07 2.868e+04 5.784e+041.3835 3.477e+12 1.088e+07 2.169e+07 1.870e+04 3.728e+041.4982 2.898e+10 1.021e+05 1.989e+05 1.719e+02 3.348e+021.5623 2.004e+09 7.518e+03 1.447e+04 1.251e+01 2.408e+011.6747 2.275e+09 9.473e+03 1.789e+04 1.545e+01 2.919e+01

    TOTALS: 2.912e+13 6.296e+07 1.344e+08 1.125e+05 2.410e+05

    Calculation No. PM-1083, Rev. 0 Attachment A, (Page A2 of A2)

    paul.reichertText BoxOf the above 241 R/hr dose, Co-60 contributes ~45%. Fission product contribute 1/3, and based on other mixes evaluated, cannot dependably displace Co-60. Therefore, an all Co-60 assumption will be used. This conclusion also applies to otheractivation products.

    Since the Co-60 fraction from the 1.17 and 1.33 MEV photons is 1.11E4 mR/hr, and the design analysis is for 400 R/hr, forconservatism, the source is increased by 400/111 or 3.6. Additionally the new containers have a 5 foot diameter, and thecontainers analyzed in PM-759 had a 4.5 foot diameter. Therefore, the total correction is 3.6*(5/4.5)^2 = 4.5.

  • Single HIC MCNP Geometry: Nominal Container with waste treated as 5 feet in diameter and 6 feet high. Left view is section through a container with surface at 1 inch from waste and at 1 meter. The former is used as a contact. To the right is a plan view. The detecting surface are on the waste surface, 1 inch, and 1 meter away. Doses are determined based on particles crossing these surfaces. The horizontal lines are used to axially segment these surfaces to calculate axial peaking. This MCNP run forms the basis for determine photons/sec required for a 400 R/hr contact dose container.

    Single PBAPS LLRWSF Waste Cell MCNP Geometry: Model of one of the identical central 15 cells. Containers are shown in the left section view, positioned as provided by the support tables, whose mass is not credited. The containers in the right, plan view are positioned as centered in each quadrant. This left view is colored by importances, illustrating how splitting is used to keep the particle population us through the overlying 2 foot thick concrete top shield. A top of this shield is used as to create a surface source file recording the position, direction, energy, and particle weight for photons leaving the top. The source is used later to perform skyshine analyses. Separate runs are made and dose rates above the cell calculated for 1, 2, 3, and 4 layers of 4 containers.

    Calculation No. PM-1083, Rev. 0 Attachment B (Page B1 of B4)

  • Single PBAPS LLRWSF Waste Cell Source Particle Display: This display verifies that the source particles are, in fact, started in the waste packages.

    Single PBAPS LLRWSF Waste Cell Collision Display: This display shows photon collisions, in the containers, in surrounding shielding, and to a limited extent, in the air in the cell. The display depth is selected so that back wall collisions are not shown.

    Calculation No. PM-1083, Rev. 0 Attachment B (Page B2 of B4)

  • PBAPS LLRWSF Simplified Geometry for Skyshine Analysis (Inside Building): These section and plan views show the LLRWSF, simplified to only include the storage cell area. This maximizes the dose rates calculated near the building

    Surface Source Effect Illustration While cells and walls are shown, the effect of the filled cells is based on an array of the surface sources derived in the cell model. The plan view to the left is below the two foot thick cell shield caps. The plan view to the right shows a source particle display that illustrates the source array effects. The net effect of this array is checked to confirm that it is consistent with the results for doses over individual cells.

    Calculation No. PM-1083, Rev. 0 Attachment B (Page B3 of B4)

  • PBAPS LLRWSF Simplified Geometry for Skyshine Analysis (Outside Building): To calculate skyshine dose effects a cylinder and a series of spherical surfaces surround the building. These surfaces are used both for particle splitting and as surface crossing detectors. The horizontal ground surfaces is segmented by the cylinder and spheres to yield average doses in rings surrounding the LLRWSF. The spherical surfaces are also used, up to a limited height, to calculated doses vs. distances .

    Calculation No. PM-1083, Rev. 0 Attachment B (Page B4 of B4)

  • HIC.o 5/31/2009

    Thread Name & Version = mcnp5_RSICC, 4.23_

    ._ _ _ ._ ._ |_| | | (_ | | |_) _)

    |+--------------------------------------------------------------------+| This program was prepared by the Regents of the University of ||California at Los Alamos National Laboratory (the University) under || contract number W-7405-ENG-36 with the U.S. Department of Energy ||(DoE). The University has certain rights in the program pursuant to|| the contract and the program should not be copied or distributed || outside your organization. All rights in the program are reserved ||by the DoE and the University. Neither the U.S. Government nor the || University makes any warranty, express or implied, or assumes any || liability or responsibility for the use of this software. |+--------------------------------------------------------------------+

    1mcnp version 5 ld=07-10-03 05/31/09 11:36:12************************************************************************* probid = 05/31/09 11:36:12

    inp = HIC outp = HIC.o

    1- c Created on: Thursday, May 14, 2009 at 23:162- 6 280 -0.9 -21 11 -12 $ Container3- 7 204 -0.00122 21 -22 11 -12 $ Air Around Container to 1in4- 8 204 -0.00122 22 -23 11 -12 $ Air Around Container to 1m5- 31 0 -11 :12 :23 $ Void6-7- 11 pz 0 $ Bottom of Container8- 12 pz 182.88 $ Top of Container9- 13 pz 20.32 $ Segmenter

    10- 14 pz 40.64 $ Segmenter11- 15 pz 60.96 $ Segmenter12- 16 pz 81.28 $ Segmenter13- 17 pz 101.6 $ Segmenter14- 18 pz 121.92 $ Segmenter15- 19 pz 142.24 $ Segmenter16- 20 pz 162.56 $ Segmenter17- 21 cz 76.2 $ Container Radius18- 22 cz 78.74 $ Contact (1 inch) Receptor19- 23 cz 176.2 $ Receptor at 1 meter20-21- mode p22- m280 1001.60c -0.111915 $Water (density of 1 assumed)

    warning. neutron table inconsistent with mode will be ignored.23- 8016.60c -0.888085

    warning. neutron table inconsistent with mode will be ignored.24- m228 1001.60c -0.005558 $concrete (ordinary with ENDF-VI)

    warning. material 228 is not used in the problem.25- 8016.60c -0.498076 11023.60c -0.017101 12000.60c -0.00256526- 13027.60c -0.045746 14000.60c -0.315092 16000.60c -0.00128327- 19000.60c -0.019239 20000.60c -0.082941 26054.60c -0.00070728- 26056.60c -0.01139 26057.60c -0.000265 26058.60c -3.6e-00529- m204 7014.60c -0.755636 $air (US S. Atm at sea level)

    warning. neutron table inconsistent with mode will be ignored.30- 8016.60c -0.231475 18000.59c -0.012889

    warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    31- imp:p 1 2r 0 $ 6, 31

    1Calculation No. PM-1083, Rev. 0 Attachment C (Page C1 of C9)

  • HIC.o 5/31/2009

    32- phys:p 100 1 033- sdef erg=d5 axs=0 0 1 rad=d1 ext=d334- si1 0 76.235- sp1 -21 136- si3 0 182.8837- sp3 0.0 1.038- si5 l 1.1730 1.332539- sp5 1 140- f2:p 21 22 23

    warning. without bremsstrahlung, flux estimates will be low.41- fs2 -13 -14 -15 -16 -17 -18 -19 -2042- f22:p 11 12

    warning. without bremsstrahlung, flux estimates will be low.43- de2 0.01 0.03 0.05 0.07 0.10 0.15 0.20 &44- 0.25 0.30 0.35 0.40 0.45 0.50 0.55 &45- 0.60 0.65 0.70 0.80 1.00 1.40 1.80 &46- 2.20 2.60 2.80 3.25 3.75 4.25 4.75 &47- 5.00 5.25 5.75 6.25 6.75 7.50 9.00 &48- 11.0 13.0 15.049- df2 LIN 3.96E-06 5.82E-07 2.90E-07 2.58E-07 2.83E-07 3.79E-07 5.01E-07 &50- 6.31e-07 7.59E-07 8.78E-07 9.85E-07 1.08E-06 1.17E-06 1.27E-06 &51- 1.36e-06 1.44E-06 1.52E-06 1.68E-06 1.98E-06 2.51E-06 2.99E-06 &52- 3.42e-06 3.82E-06 4.01E-06 4.41E-06 4.83E-06 5.23E-06 5.60E-06 &53- 5.80e-06 6.01E-06 6.37E-06 6.74E-06 7.11E-06 7.66E-06 8.77E-06 &54- 1.03e-05 1.18E-05 1.33E-0555- de22 0.01 0.03 0.05 0.07 0.10 0.15 0.20 &56- 0.25 0.30 0.35 0.40 0.45 0.50 0.55 &57- 0.60 0.65 0.70 0.80 1.00 1.40 1.80 &58- 2.20 2.60 2.80 3.25 3.75 4.25 4.75 &59- 5.00 5.25 5.75 6.25 6.75 7.50 9.00 &60- 11.0 13.0 15.061- df22 LIN 3.96E-06 5.82E-07 2.90E-07 2.58E-07 2.83E-07 3.79E-07 5.01E-07 &62- 6.31e-07 7.59E-07 8.78E-07 9.85E-07 1.08E-06 1.17E-06 1.27E-06 &63- 1.36e-06 1.44E-06 1.52E-06 1.68E-06 1.98E-06 2.51E-06 2.99E-06 &64- 3.42e-06 3.82E-06 4.01E-06 4.41E-06 4.83E-06 5.23E-06 5.60E-06 &65- 5.80e-06 6.01E-06 6.37E-06 6.74E-06 7.11E-06 7.66E-06 8.77E-06 &66- 1.03e-05 1.18E-05 1.33E-0567- nps 25000000

    1cells print table 60

    atom gram photoncell mat density density volume mass pieces importance

    1 6 280 9.02777E-02 9.00000E-01 3.33600E+06 3.00240E+06 1 1.0000E+002 7 204 5.05147E-05 1.22000E-03 2.26107E+05 2.75850E+02 1 1.0000E+003 8 204 5.05147E-05 1.22000E-03 1.42751E+07 1.74157E+04 1 1.0000E+004 31 0 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0 0.0000E+00

    total 1.78372E+07 3.02009E+06

    minimum source weight = 1.0000E+00 maximum source weight = 1.0000E+00

    **************************************************** Random Number Generator = 1 ** Random Number Seed = 19073486328125 ** Random Number Multiplier = 19073486328125 ** Random Number Adder = 0 ** Random Number Bits Used = 48 *

    2Calculation No. PM-1083, Rev. 0 Attachment C (Page C2 of C9)

  • HIC.o 5/31/2009

    * Random Number Stride = 152917 ****************************************************

    8 warning messages so far.1cross-section tables print table 100

    table length

    tables from file mcplib04

    1000.04p 1898 ENDF/B-VI Release 8 Photoatomic Data for 1-H mat 100 02/07/037000.04p 3194 ENDF/B-VI Release 8 Photoatomic Data for 7-N mat 700 02/07/038000.04p 3272 ENDF/B-VI Release 8 Photoatomic Data for 8-O mat 800 02/07/03

    18000.04p 4696 ENDF/B-VI Release 8 Photoatomic Data for 18-AR mat1800 02/07/03

    total 13060

    warning. simple physics turned on for photons > 100 mev.

    ***********************************************************************************************************************dump no. 1 on file runtpg nps = 0 coll = 0 ctm = 0.00 nrn = 0

    9 warning messages so far.1problem summary

    run terminated when 25000000 particle histories were done.+ 05/31/09 11:50:54

    c Created on: Thursday, May 14, 2009 at 23:16 probid = 05/31/09 11:36:120

    photon creation tracks weight energy photon loss tracks weight energy(per source particle) (per source particle)

    source 25000000 1.0000E+00 1.2528E+00 escape 12471779 4.9887E-01 3.2559E-01energy cutoff 0 0. 0.time cutoff 0 0. 0.

    weight window 0 0. 0. weight window 0 0. 0.cell importance 0 0. 0. cell importance 0 0. 0.weight cutoff 0 0. 0. weight cutoff 0 0. 0.e or t importance 0 0. 0. e or t importance 0 0. 0.dxtran 0 0. 0. dxtran 0 0. 0.forced collisions 0 0. 0. forced collisions 0 0. 0.exp. transform 0 0. 0. exp. transform 0 0. 0.from neutrons 0 0. 0. compton scatter 0 0. 9.0258E-01bremsstrahlung 0 0. 0. capture 12536219 5.0145E-01 2.4516E-02p-annihilation 15794 6.3176E-04 3.2283E-04 pair production 7897 3.1588E-04 4.1284E-04photonuclear 0 0. 0. photonuclear abs 0 0. 0.electron x-rays 0 0. 0.1st fluorescence 101 4.0400E-06 1.1907E-082nd fluorescence 0 0. 0.

    total 25015895 1.0006E+00 1.2531E+00 total 25015895 1.0006E+00 1.2531E+00

    number of photons banked 7897 average time of (shakes) cutoffsphoton tracks per source particle 1.0006E+00 escape 3.9186E-01 tco 1.0000E+33photon collisions per source particle 8.8793E+00 capture 3.3692E-01 eco 1.0000E-03total photon collisions 221983479 capture or escape 3.6432E-01 wc1 -5.0000E-01

    any termination 3.6421E-01 wc2 -2.5000E-01

    3Calculation No. PM-1083, Rev. 0 Attachment C (Page C3 of C9)

  • HIC.o 5/31/2009

    computer time so far in this run 15.07 minutes maximum number ever in bank 1computer time in mcrun 14.69 minutes bank overflows to backup file 0source particles per minute 1.7021E+06random numbers generated 2964429671 most random numbers used was 84853 in history 3810471

    range of sampled source weights = 1.0000E+00 to 1.0000E+001photon activity in each cell print table 126

    tracks population collisions collisions number flux average averagecell entering * weight weighted weighted track weight track mfp

    (per history) energy energy (relative) (cm)

    1 6 25017112 25007891 221865993 8.8746E+00 4.7252E-01 4.7252E-01 1.0000E+00 1.0151E+012 7 9029607 9005026 4612 1.8448E-04 6.6245E-01 6.6245E-01 1.0000E+00 9.9804E+033 8 8920886 8913141 112874 4.5150E-03 6.4466E-01 6.4466E-01 1.0000E+00 9.8396E+03

    total 42967605 42926058 221983479 8.8793E+00

    1tally 2 nps = 25000000tally type 2 particle flux averaged over a surface.tally for photons

    this tally is modified by a dose function.

    areassurface: 21 22 23

    segment1 9.72878E+03 1.00531E+04 2.24962E+042 9.72878E+03 1.00531E+04 2.24962E+043 9.72878E+03 1.00531E+04 2.24962E+044 9.72878E+03 1.00531E+04 2.24962E+045 9.72878E+03 1.00531E+04 2.24962E+046 9.72878E+03 1.00531E+04 2.24962E+047 9.72878E+03 1.00531E+04 2.24962E+048 9.72878E+03 1.00531E+04 2.24962E+049 9.72878E+03 1.00531E+04 2.24962E+04

    surface 21segment: -13

    8.15263E-12 0.0018

    surface 21segment: 13 -14

    1.01840E-11 0.0016

    surface 21segment: 13 14 -15

    1.06759E-11 0.0016

    surface 21segment: 13 14 15 -16

    1.08137E-11 0.0016

    surface 21segment: 13 14 15 16 -17

    1.08174E-11 0.0016

    4Calculation No. PM-1083, Rev. 0 Attachment C (Page C4 of C9)

  • HIC.o 5/31/2009

    surface 21segment: 13 14 15 16 17 -18

    1.07873E-11 0.0016

    surface 21segment: 13 14 15 16 17 18 -19

    1.06814E-11 0.0016

    surface 21segment: 13 14 15 16 17 18 19 -20

    1.01906E-11 0.0016

    surface 21segment: 13 14 15 16 17 18 19 20

    8.14002E-12 0.0019

    surface 22segment: -13

    6.64658E-12 0.0016

    surface 22segment: 13 -14

    8.68549E-12 0.0014

    surface 22segment: 13 14 -15

    9.23856E-12 0.0014

    surface 22segment: 13 14 15 -16

    9.42309E-12 0.0014

    surface 22segment: 13 14 15 16 -17

    9.45131E-12 0.0014

    surface 22segment: 13 14 15 16 17 -18

    9.42503E-12 0.0014

    surface 22segment: 13 14 15 16 17 18 -19

    9.26245E-12 0.0014

    surface 22segment: 13 14 15 16 17 18 19 -20

    8.69113E-12 0.0014

    surface 22segment: 13 14 15 16 17 18 19 20

    6.63099E-12 0.0016

    surface 23segment: -13

    1.44668E-12 0.0016

    surface 23segment: 13 -14

    5Calculation No. PM-1083, Rev. 0 Attachment C (Page C5 of C9)

  • HIC.o 5/31/2009

    1.64225E-12 0.0015

    surface 23segment: 13 14 -15

    1.80614E-12 0.0014

    surface 23segment: 13 14 15 -16

    1.89595E-12 0.0014

    surface 23segment: 13 14 15 16 -17

    1.92995E-12 0.0014

    surface 23segment: 13 14 15 16 17 -18

    1.89849E-12 0.0014

    surface 23segment: 13 14 15 16 17 18 -19

    1.80312E-12 0.0014

    surface 23segment: 13 14 15 16 17 18 19 -20

    1.64810E-12 0.0015

    surface 23segment: 13 14 15 16 17 18 19 20

    1.45179E-12 0.0016

    ===================================================================================================================================

    results of 10 statistical checks for the estimated answer for the tally fluctuation chart (tfc) bin of tally 2

    tfc bin --mean-- ---------relative error--------- ----variance of the variance---- --figure of merit-- -pdf-behavior behavior value decrease decrease rate value decrease decrease rate value behavior slope

    desired random

  • HIC.o 5/31/2009

    relative error from zero tallies = 0.0011 relative error from nonzero scores = 0.0015

    number of nonzero history tallies = 759039 efficiency for the nonzero tallies = 0.0304history number of largest tally = 19679 largest unnormalized history tally = 4.86433E-05(largest tally)/(average tally) = 6.14240E+02 (largest tally)/(avg nonzero tally)= 1.86493E+01

    (confidence interval shift)/mean = 0.0000 shifted confidence interval center = 8.14007E-12

    if the largest history score sampled so far were to occur on the next history, the tfc bin quantities would change as follows:

    estimated quantities value at nps value at nps+1 value(nps+1)/value(nps)-1.

    mean 8.14002E-12 8.14022E-12 0.000025relative error 1.85206E-03 1.85218E-03 0.000063variance of the variance 5.94771E-05 5.94870E-05 0.000166shifted center 8.14007E-12 8.14007E-12 0.000000figure of merit 1.98484E+04 1.98459E+04 -0.000126

    the 100 largest history tallies appear to have a maximum value of about 4.86433E-05the large score tail of the empirical history score probability density function appears to have no unsampled regions.

    fom = (histories/minute)*(f(x) signal-to-noise ratio)**2 = (1.702E+06)*( 1.080E-01)**2 = (1.702E+06)*(1.166E-02) = 1.985E+04

    1tally 22 nps = 25000000tally type 2 particle flux averaged over a surface.tally for photons

    this tally is modified by a dose function.

    areassurface: 11 12

    9.75353E+04 9.75353E+04

    surface 113.58407E-12 0.0009

    surface 123.59290E-12 0.0009

    ===================================================================================================================================

    results of 10 statistical checks for the estimated answer for the tally fluctuation chart (tfc) bin of tally 22

    tfc bin --mean-- ---------relative error--------- ----variance of the variance---- --figure of merit-- -pdf-behavior behavior value decrease decrease rate value decrease decrease rate value behavior slope

    desired random

  • HIC.o 5/31/2009

    ----- estimated confidence intervals: -----

    estimated asymmetric confidence interval(1,2,3 sigma): 3.5807E-12 to 3.5874E-12; 3.5774E-12 to 3.5908E-12; 3.5740E-12 to 3.5941E-12estimated symmetric confidence interval(1,2,3 sigma): 3.5807E-12 to 3.5874E-12; 3.5774E-12 to 3.5908E-12; 3.5740E-12 to 3.5941E-12

    1analysis of the results in the tally fluctuation chart bin (tfc) for tally 22 with nps = 25000000 print table 160

    normed average tally per history = 3.58407E-12 unnormed average tally per history = 3.49573E-07estimated tally relative error = 0.0009 estimated variance of the variance = 0.0000relative error from zero tallies = 0.0005 relative error from nonzero scores = 0.0008

    number of nonzero history tallies = 3258038 efficiency for the nonzero tallies = 0.1303history number of largest tally = 3414 largest unnormalized history tally = 4.86433E-05(largest tally)/(average tally) = 1.39150E+02 (largest tally)/(avg nonzero tally)= 1.81343E+01

    (confidence interval shift)/mean = 0.0000 shifted confidence interval center = 3.58408E-12

    if the largest history score sampled so far were to occur on the next history, the tfc bin quantities would change as follows:

    estimated quantities value at nps value at nps+1 value(nps+1)/value(nps)-1.

    mean 3.58407E-12 3.58409E-12 0.000006relative error 9.33125E-04 9.33136E-04 0.000012variance of the variance 1.40366E-05 1.40369E-05 0.000017shifted center 3.58408E-12 3.58408E-12 0.000000figure of merit 7.81911E+04 7.81892E+04 -0.000024

    the 100 largest history tallies appear to have a maximum value of about 4.86433E-05the large score tail of the empirical history score probability density function appears to have no unsampled regions.

    fom = (histories/minute)*(f(x) signal-to-noise ratio)**2 = (1.702E+06)*( 2.143E-01)**2 = (1.702E+06)*(4.594E-02) = 7.819E+04

    1status of the statistical checks used to form confidence intervals for the mean for each tally bin

    tally result of statistical checks for the tfc bin (the first check not passed is listed) and error magnitude check for all bins

    2 passed the 10 statistical checks for the tally fluctuation chart bin resultpassed all bin error check: 27 tally bins all have relative errors less than 0.10 with no zero bins

    22 passed the 10 statistical checks for the tally fluctuation chart bin resultpassed all bin error check: 2 tally bins all have relative errors less than 0.10 with no zero bins

    the 10 statistical checks are only for the tally fluctuation chart bin and do not apply to other tally bins.

    1tally fluctuation charts

    tally 2 tally 22nps mean error vov slope fom mean error vov slope fom

    2048000 8.1160E-12 0.0064 0.0007 10.0 20287 3.5815E-12 0.0033 0.0002 10.0 783234096000 8.1082E-12 0.0046 0.0004 10.0 19934 3.5845E-12 0.0023 0.0001 10.0 779826144000 8.1161E-12 0.0037 0.0002 10.0 19909 3.5863E-12 0.0019 0.0001 10.0 776258192000 8.1132E-12 0.0032 0.0002 10.0 19958 3.5908E-12 0.0016 0.0000 10.0 78055

    10240000 8.1212E-12 0.0029 0.0001 10.0 19977 3.5913E-12 0.0015 0.0000 10.0 7799612288000 8.1331E-12 0.0026 0.0001 10.0 19917 3.5882E-12 0.0013 0.0000 10.0 78360

    8Calculation No. PM-1083, Rev. 0 Attachment C (Page C8 of C9)

  • HIC.o 5/31/2009

    14336000 8.1450E-12 0.0024 0.0001 10.0 19855 3.5882E-12 0.0012 0.0000 10.0 7826916384000 8.1327E-12 0.0023 0.0001 10.0 19849 3.5867E-12 0.0012 0.0000 10.0 7819518432000 8.1367E-12 0.0022 0.0001 10.0 19869 3.5871E-12 0.0011 0.0000 10.0 7820220480000 8.1428E-12 0.0020 0.0001 10.0 19890 3.5843E-12 0.0010 0.0000 10.0 7826022528000 8.1370E-12 0.0019 0.0001 10.0 19891 3.5848E-12 0.0010 0.0000 10.0 7813324576000 8.1375E-12 0.0019 0.0001 10.0 19850 3.5845E-12 0.0009 0.0000 10.0 7816525000000 8.1400E-12 0.0019 0.0001 10.0 19848 3.5841E-12 0.0009 0.0000 10.0 78191

    ***********************************************************************************************************************dump no. 2 on file runtpg nps = 25000000 coll = 221983479 ctm = 14.69 nrn = 2964429671

    9 warning messages so far.

    run terminated when 25000000 particle histories were done.

    computer time = 15.07 minutes

    mcnp version 5 07-10-03 05/31/09 11:50:54 probid = 05/31/09 11:36:12

    9Calculation No. PM-1083, Rev. 0 Attachment C (Page C9 of C9)

  • PBrs1.o 5/30/2009

    Thread Name & Version = mcnp5_RSICC, 4.23_

    ._ _ _ ._ ._ |_| | | (_ | | |_) _)

    |+--------------------------------------------------------------------+| This program was prepared by the Regents of the University of ||California at Los Alamos National Laboratory (the University) under || contract number W-7405-ENG-36 with the U.S. Department of Energy ||(DoE). The University has certain rights in the program pursuant to|| the contract and the program should not be copied or distributed || outside your organization. All rights in the program are reserved ||by the DoE and the University. Neither the U.S. Government nor the || University makes any warranty, express or implied, or assumes any || liability or responsibility for the use of this software. |+--------------------------------------------------------------------+

    1mcnp version 5 ld=07-10-03 05/30/09 19:35:46************************************************************************* probid = 05/30/09 19:35:46

    inp = PBrs1 outp = PBrs1.o

    1- c Created on: Thursday, May 14, 2009 at 23:162- 1 228 -2.243 1 -4 5 -8 9 -10 $floor3- 2 228 -2.243 1 -2 5 -8 10 -19 $wall 14- 3 228 -2.243 3 -4 5 -8 10 -19 $wall 25- 4 228 -2.243 2 -3 5 -6 10 -19 $wall 36- 5 228 -2.243 2 -3 7 -8 10 -19 $wall 47- 6 280 -0.9 -21 11 -12 $L1-NE8- 7 280 -0.9 -22 11 -12 $L1-NW9- 8 280 -0.9 -23 11 -12 $L1-SE

    10- 9 280 -0.9 -24 11 -12 $L1-SW11- 22 204 -0.00122 2 -3 6 -7 10 -19 #6 #7 #8 #912- 23 228 -2.243 1 -4 5 -8 19 -2513- 24 228 -2.243 1 -4 5 -8 25 -2614- 25 228 -2.243 1 -4 5 -8 26 -2715- 26 228 -2.243 1 -4 5 -8 27 -2816- 27 228 -2.243 1 -4 5 -8 28 -2917- 28 228 -2.243 1 -4 5 -8 29 -3018- 29 228 -2.243 1 -4 5 -8 30 -3119- 30 228 -2.243 1 -4 5 -8 31 -2020- 31 0 -1 :4 :-5 :8 :-9 :2021-22- *1 px -243.8423- 2 px -226.0624- 3 px 226.0625- *4 px 243.8426- *5 py -25427- 6 py -236.2228- 7 py 236.2229- *8 py 25430- 9 pz -7.6231- 10 pz 032- 11 pz 55.8833- 12 pz 238.7634- 13 pz 316.2335- 14 pz 499.1136- 15 pz 576.5837- 16 pz 759.46

    1Calculation No. PM-1083, Rev. 0 Attachment D (Page D1 of D75)

  • PBrs1.o 5/30/2009

    38- 17 pz 836.9339- 18 pz 1019.8140- 19 pz 1097.2841- 20 pz 1158.2442- 21 c/z -113.03 -118.11 76.243- 22 c/z 113.03 -118.11 76.244- 23 c/z -113.03 118.11 76.245- 24 c/z 113.03 118.11 76.246- 25 pz 1104.947- 26 pz 1112.5248- 27 pz 1120.1449- 28 pz 1127.7650- 29 pz 1135.3851- 30 pz 114352- 31 pz 1150.6253-54- mode p55- m280 1001.60c -0.111915 $Water (density of 1 assumed)

    warning. neutron table inconsistent with mode will be ignored.56- 8016.60c -0.888085

    warning. neutron table inconsistent with mode will be ignored.57- m228 1001.60c -0.005558 $concrete (ordinary with ENDF-VI)

    warning. neutron table inconsistent with mode will be ignored.58- 8016.60c -0.498076 11023.60c -0.017101 12000.60c -0.002565

    warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    59- 13027.60c -0.045746 14000.60c -0.315092 16000.60c -0.001283warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    60- 19000.60c -0.019239 20000.60c -0.082941 26054.60c -0.000707warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    61- 26056.60c -0.01139 26057.60c -0.000265 26058.60c -3.6e-005warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    62- m204 7014.60c -0.755636 $air (US S. Atm at sea level)warning. neutron table inconsistent with mode will be ignored.

    63- 8016.60c -0.231475 18000.59c -0.012889warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    64- imp:p 1 3 3r 1 3r $ 1, 965- 3 6 12 24 48 $ 22, 266- 96 192 384 768 0 $ 27, 367- phys:p 100 1 068- sdef erg=d5 x=d1 y=d2 z=d3 cel=d4 eff=0.0000169- si1 -190 19070- sp1 0.0 1.071- si2 -195 19572- sp2 0.0 1.073- si3 55 24074- sp3 0.0 1.075- si4 l 6 7 8 976- sp4 1 1 1 177- si5 l 1.1730 1.3325

    2Calculation No. PM-1083, Rev. 0 Attachment D (Page D2 of D75)

  • PBrs1.o 5/30/2009

    78- sp5 1 179- ssw 2080- f2:p 19 25 26 27 28 29 30 31 20

    warning. without bremsstrahlung, flux estimates will be low.81- fs2 -2 3 -6 7 -21 -22 -23 -2482- sd2 19329 19329 16077 16077 18241 18241 18241 18241 140636 &83- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &84- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &85- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &86- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &87- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &88- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &89- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &90- 19329 19329 16077 16077 18241 18241 18241 18241 14063691- f22:p 19 25 26 27 28 29 30 31 20

    warning. without bremsstrahlung, flux estimates will be low.92- fs22 -2 3 -6 793- sd22 1.9329 1.9329 1.6077 1.6077 213600 &94- 1.9329 1.9329 1.6077 1.6077 213600 &95- 1.9329 1.9329 1.6077 1.6077 213600 &96- 1.9329 1.9329 1.6077 1.6077 213600 &97- 1.9329 1.9329 1.6077 1.6077 213600 &98- 1.9329 1.9329 1.6077 1.6077 213600 &99- 1.9329 1.9329 1.6077 1.6077 213600 &

    100- 1.9329 1.9329 1.6077 1.6077 213600 &101- 1.9329 1.9329 1.6077 1.6077 213600102- de2 0.01 0.03 0.05 0.07 0.10 0.15 0.20 &103- 0.25 0.30 0.35 0.40 0.45 0.50 0.55 &104- 0.60 0.65 0.70 0.80 1.00 1.40 1.80 &105- 2.20 2.60 2.80 3.25 3.75 4.25 4.75 &106- 5.00 5.25 5.75 6.25 6.75 7.50 9.00 &107- 11.0 13.0 15.0108- df2 LIN 3.96E-06 5.82E-07 2.90E-07 2.58E-07 2.83E-07 3.79E-07 5.01E-07 &109- 6.31e-07 7.59E-07 8.78E-07 9.85E-07 1.08E-06 1.17E-06 1.27E-06 &110- 1.36e-06 1.44E-06 1.52E-06 1.68E-06 1.98E-06 2.51E-06 2.99E-06 &111- 3.42e-06 3.82E-06 4.01E-06 4.41E-06 4.83E-06 5.23E-06 5.60E-06 &112- 5.80e-06 6.01E-06 6.37E-06 6.74E-06 7.11E-06 7.66E-06 8.77E-06 &113- 1.03e-05 1.18E-05 1.33E-05114- de22 0.01 0.03 0.05 0.07 0.10 0.15 0.20 &115- 0.25 0.30 0.35 0.40 0.45 0.50 0.55 &116- 0.60 0.65 0.70 0.80 1.00 1.40 1.80 &117- 2.20 2.60 2.80 3.25 3.75 4.25 4.75 &118- 5.00 5.25 5.75 6.25 6.75 7.50 9.00 &119- 11.0 13.0 15.0120- df22 LIN 3.96E-06 5.82E-07 2.90E-07 2.58E-07 2.83E-07 3.79E-07 5.01E-07 &121- 6.31e-07 7.59E-07 8.78E-07 9.85E-07 1.08E-06 1.17E-06 1.27E-06 &122- 1.36e-06 1.44E-06 1.52E-06 1.68E-06 1.98E-06 2.51E-06 2.99E-06 &123- 3.42e-06 3.82E-06 4.01E-06 4.41E-06 4.83E-06 5.23E-06 5.60E-06 &124- 5.80e-06 6.01E-06 6.37E-06 6.74E-06 7.11E-06 7.66E-06 8.77E-06 &125- 1.03e-05 1.18E-05 1.33E-05126- nps 25000000

    warning. sum of segment sizes differs from total in 18 cases.1cells print table 60

    atom gram photoncell mat density density volume mass pieces importance

    3Calculation No. PM-1083, Rev. 0 Attachment D (Page D3 of D75)

  • PBrs1.o 5/30/2009

    1 1 228 7.19163E-02 2.24300E+00 1.88779E+06 4.23431E+06 0 1.0000E+002 2 228 7.19163E-02 2.24300E+00 9.91090E+06 2.22301E+07 0 3.0000E+003 3 228 7.19163E-02 2.24300E+00 9.91090E+06 2.22301E+07 0 3.0000E+004 4 228 7.19163E-02 2.24300E+00 8.82070E+06 1.97848E+07 0 3.0000E+005 5 228 7.19163E-02 2.24300E+00 8.82070E+06 1.97848E+07 0 3.0000E+006 6 280 9.02777E-02 9.00000E-01 3.33600E+06 3.00240E+06 1 1.0000E+007 7 280 9.02777E-02 9.00000E-01 3.33600E+06 3.00240E+06 1 1.0000E+008 8 280 9.02777E-02 9.00000E-01 3.33600E+06 3.00240E+06 1 1.0000E+009 9 280 9.02777E-02 9.00000E-01 3.33600E+06 3.00240E+06 1 1.0000E+00

    10 22 204 5.05147E-05 1.22000E-03 0.00000E+00 0.00000E+00 0 3.0000E+0011 23 228 7.19163E-02 2.24300E+00 1.88779E+06 4.23431E+06 0 6.0000E+0012 24 228 7.19163E-02 2.24300E+00 1.88779E+06 4.23431E+06 0 1.2000E+0113 25 228 7.19163E-02 2.24300E+00 1.88779E+06 4.23431E+06 0 2.4000E+0114 26 228 7.19163E-02 2.24300E+00 1.88779E+06 4.23431E+06 0 4.8000E+0115 27 228 7.19163E-02 2.24300E+00 1.88779E+06 4.23431E+06 0 9.6000E+0116 28 228 7.19163E-02 2.24300E+00 1.88779E+06 4.23431E+06 0 1.9200E+0217 29 228 7.19163E-02 2.24300E+00 1.88779E+06 4.23431E+06 0 3.8400E+0218 30 228 7.19163E-02 2.24300E+00 1.88779E+06 4.23431E+06 0 7.6800E+0219 31 0 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0 0.0000E+00

    total 6.77973E+07 1.34148E+08

    warning. surface 13 is not used for anything.

    warning. surface 14 is not used for anything.

    warning. surface 15 is not used for anything.

    warning. surface 16 is not used for anything.

    warning. surface 17 is not used for anything.

    warning. surface 18 is not used for anything.

    minimum source weight = 1.0000E+00 maximum source weight = 1.0000E+00

    **************************************************** Random Number Generator = 1 ** Random Number Seed = 19073486328125 ** Random Number Multiplier = 19073486328125 ** Random Number Adder = 0 ** Random Number Bits Used = 48 ** Random Number Stride = 152917 ****************************************************

    27 warning messages so far.1cross-section tables print table 100

    table length

    tables from file mcplib04

    1000.04p 1898 ENDF/B-VI Release 8 Photoatomic Data for 1-H mat 100 02/07/037000.04p 3194 ENDF/B-VI Release 8 Photoatomic Data for 7-N mat 700 02/07/038000.04p 3272 ENDF/B-VI Release 8 Photoatomic Data for 8-O mat 800 02/07/03

    11000.04p 3995 ENDF/B-VI Release 8 Photoatomic Data for 11-NA mat1100 02/07/0312000.04p 3781 ENDF/B-VI Release 8 Photoatomic Data for 12-MG mat1200 02/07/03

    4Calculation No. PM-1083, Rev. 0 Attachment D (Page D4 of D75)

  • PBrs1.o 5/30/2009

    13000.04p 4846 ENDF/B-VI Release 8 Photoatomic Data for 13-AL mat1300 02/07/0314000.04p 4792 ENDF/B-VI Release 8 Photoatomic Data for 14-SI mat1400 02/07/0316000.04p 4654 ENDF/B-VI Release 8 Photoatomic Data for 16-S mat1600 02/07/0318000.04p 4696 ENDF/B-VI Release 8 Photoatomic Data for 18-AR mat1800 02/07/0319000.04p 5047 ENDF/B-VI Release 8 Photoatomic Data for 19-K mat1900 02/07/0320000.04p 5013 ENDF/B-VI Release 8 Photoatomic Data for 20-CA mat2000 02/07/0326000.04p 5718 ENDF/B-VI Release 8 Photoatomic Data for 26-FE mat2600 02/07/03

    total 50906

    warning. simple physics turned on for photons > 100 mev.

    ***********************************************************************************************************************dump no. 1 on file runtpf nps = 0 coll = 0 ctm = 0.00 nrn = 0

    28 warning messages so far.1problem summary

    run terminated when 25000000 particle histories were done.+ 05/30/09 20:33:22

    c Created on: Thursday, May 14, 2009 at 23:16 probid = 05/30/09 19:35:460

    photon creation tracks weight energy photon loss tracks weight energy(per source particle) (per source particle)

    source 25000000 1.0000E+00 1.2527E+00 escape 1323013 4.3444E-02 2.5498E-02energy cutoff 0 0. 0.time cutoff 0 0. 0.

    weight window 0 0. 0. weight window 0 0. 0.cell importance 35195667 1.8729E-01 8.3630E-02 cell importance 15081919 1.8730E-01 8.3566E-02weight cutoff 0 0. 0. weight cutoff 0 0. 0.e or t importance 0 0. 0. e or t importance 0 0. 0.dxtran 0 0. 0. dxtran 0 0. 0.forced collisions 0 0. 0. forced collisions 0 0. 0.exp. transform 0 0. 0. exp. transform 0 0. 0.from neutrons 0 0. 0. compton scatter 0 0. 1.1699E+00bremsstrahlung 0 0. 0. capture 47057545 9.9971E-01 5.7443E-02p-annihilation 29392 8.3076E-04 4.2453E-04 pair production 14696 4.1538E-04 5.4355E-04photonuclear 0 0. 0. photonuclear abs 0 0. 0.electron x-rays 0 0. 0.1st fluorescence 3252114 4.2746E-02 1.7592E-042nd fluorescence 0 0. 0.

    total 63477173 1.2309E+00 1.3370E+00 total 63477173 1.2309E+00 1.3370E+00

    number of photons banked 19897799 average time of (shakes) cutoffsphoton tracks per source particle 2.5391E+00 escape 5.8895E-01 tco 1.0000E+33photon collisions per source particle 1.8901E+01 capture 7.4525E-01 eco 1.0000E-03total photon collisions 472523354 capture or escape 7.3875E-01 wc1 -5.0000E-01

    any termination 7.6180E-01 wc2 -2.5000E-01

    computer time so far in this run 57.50 minutes maximum number ever in bank 11computer time in mcrun 57.18 minutes bank overflows to backup file 0source particles per minute 4.3718E+05random numbers generated 6518761511 most random numbers used was 2542674 in history 20649758

    warning. random number stride 152917 exceeded 1 times.

    5Calculation No. PM-1083, Rev. 0 Attachment D (Page D5 of D75)

  • PBrs1.o 5/30/2009

    range of sampled source weights = 1.0000E+00 to 1.0000E+00

    source efficiency = 0.1216 in cell 6

    source efficiency = 0.1217 in cell 7

    source efficiency = 0.1217 in cell 8

    source efficiency = 0.1217 in cell 91photon activity in each cell print table 126

    tracks population collisions collisions number flux average averagecell entering * weight weighted weighted track weight track mfp

    (per history) energy energy (relative) (cm)

    1 1 3309370 3276959 10096714 4.0387E-01 4.4288E-01 4.4288E-01 1.0000E+00 4.3112E+002 2 9076429 8789954 47900528 6.3867E-01 3.9482E-01 3.9482E-01 1.0000E+00 4.0902E+003 3 9075758 8788977 47888930 6.3852E-01 3.9477E-01 3.9477E-01 1.0000E+00 4.0900E+004 4 8611031 8323470 44702937 5.9604E-01 3.9462E-01 3.9462E-01 1.0000E+00 4.0885E+005 5 8608148 8321321 44729490 5.9639E-01 3.9457E-01 3.9457E-01 1.0000E+00 4.0884E+006 6 7153895 7089022 61173452 2.4469E+00 4.5520E-01 4.5520E-01 1.0000E+00 9.9689E+007 7 7150336 7084341 61149505 2.4460E+00 4.5484E-01 4.5484E-01 1.0000E+00 9.9651E+008 8 7149055 7083720 61144583 2.4458E+00 4.5502E-01 4.5502E-01 1.0000E+00 9.9669E+009 9 7153061 7087612 61123219 2.4449E+00 4.5524E-01 4.5524E-01 1.0000E+00 9.9695E+00

    10 22 56395741 43170666 1594932 2.1266E-02 4.5286E-01 4.5286E-01 1.0000E+00 8.2606E+0311 23 2254062 2128013 6624199 4.4161E-02 3.2722E-01 3.2722E-01 1.0000E+00 3.7313E+0012 24 1727857 1575707 5293735 1.7646E-02 3.5374E-01 3.5374E-01 1.0000E+00 3.9233E+0013 25 1454357 1321613 4477715 7.4629E-03 3.6395E-01 3.6395E-01 1.0000E+00 3.9914E+0014 26 1258644 1142110 3883679 3.2364E-03 3.6512E-01 3.6512E-01 1.0000E+00 4.0053E+0015 27 1091639 990753 3386252 1.4109E-03 3.6272E-01 3.6272E-01 1.0000E+00 3.9988E+0016 28 943792 856543 2933174 6.1108E-04 3.5902E-01 3.5902E-01 1.0000E+00 3.9838E+0017 29 806041 732327 2511922 2.6166E-04 3.5522E-01 3.5522E-01 1.0000E+00 3.9694E+0018 30 612714 587278 1908388 9.9395E-05 3.7056E-01 3.7056E-01 1.0000E+00 4.0633E+00

    total 133831930 118350386 472523354 1.2753E+01

    1tally 2 nps = 25000000tally type 2 particle flux averaged over a surface.tally for photons

    this tally is modified by a dose function.

    areassurface: 19 25 26 27 28 29 30

    segment1 1.93290E+04 1.93290E+04 1.93290E+04 1.93290E+04 1.93290E+04 1.93290E+04 1.93290E+042 1.93290E+04 1.93290E+04 1.93290E+04 1.93290E+04 1.93290E+04 1.93290E+04 1.93290E+043 1.60770E+04 1.60770E+04 1.60770E+04 1.60770E+04 1.60770E+04 1.60770E+04 1.60770E+044 1.60770E+04 1.60770E+04 1.60770E+04 1.60770E+04 1.60770E+04 1.60770E+04 1.60770E+045 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+046 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+047 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+048 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+04 1.82410E+049 1.40636E+05 1.40636E+05 1.40636E+05 1.40636E+05 1.40636E+05 1.40636E+05 1.40636E+05

    surface: 31 20segment

    1 1.93290E+04 1.93290E+042 1.93290E+04 1.93290E+04

    6Calculation No. PM-1083, Rev. 0 Attachment D (Page D6 of D75)

  • PBrs1.o 5/30/2009

    3 1.60770E+04 1.60770E+044 1.60770E+04 1.60770E+045 1.82410E+04 1.82410E+046 1.82410E+04 1.82410E+047 1.82410E+04 1.82410E+048 1.82410E+04 1.82410E+049 1.40636E+05 1.40636E+05

    surface 19segment: -2

    4.93966E-15 0.0244

    surface 19segment: 2 3

    4.92641E-15 0.0240

    surface 19segment: 2 -3 -6

    5.86835E-15 0.0248

    surface 19segment: 2 -3 6 7

    5.89119E-15 0.0244

    surface 19segment: 2 -3 6 -7 -21

    7.66918E-14 0.0066

    surface 19segment: 2 -3 6 -7 21 -22

    7.74915E-14 0.0065

    surface 19segment: 2 -3 6 -7 21 22 -23

    7.75238E-14 0.0066

    surface 19segment: 2 -3 6 -7 21 22 23 -24

    7.73216E-14 0.0065

    surface 19segment: 2 -3 6 -7 21 22 23 24

    7.70793E-14 0.0024

    surface 25segment: -2

    3.90868E-15 0.0241

    surface 25segment: 2 3

    4.11788E-15 0.0237

    surface 25segment: 2 -3 -6

    4.79158E-15 0.0242

    surface 25segment: 2 -3 6 7

    7Calculation No. PM-1083, Rev. 0 Attachment D (Page D7 of D75)

  • PBrs1.o 5/30/2009

    4.67300E-15 0.0241

    surface 25segment: 2 -3 6 -7 -21

    3.78231E-14 0.0090

    surface 25segment: 2 -3 6 -7 21 -22

    3.84556E-14 0.0090

    surface 25segment: 2 -3 6 -7 21 22 -23

    3.82674E-14 0.0090

    surface 25segment: 2 -3 6 -7 21 22 23 -24

    3.84850E-14 0.0090

    surface 25segment: 2 -3 6 -7 21 22 23 24

    3.78882E-14 0.0033

    surface 26segment: -2

    2.31688E-15 0.0244

    surface 26segment: 2 3

    2.47886E-15 0.0242

    surface 26segment: 2 -3 -6

    2.87603E-15 0.0247

    surface 26segment: 2 -3 6 7

    2.89673E-15 0.0250

    surface 26segment: 2 -3 6 -7 -21

    1.66522E-14 0.0109

    surface 26segment: 2 -3 6 -7 21 -22

    1.69442E-14 0.0108

    surface 26segment: 2 -3 6 -7 21 22 -23

    1.67776E-14 0.0108

    surface 26segment: 2 -3 6 -7 21 22 23 -24

    1.69505E-14 0.0109

    surface 26segment: 2 -3 6 -7 21 22 23 24

    1.67110E-14 0.0040

    8Calculation No. PM-1083, Rev. 0 Attachment D (Page D8 of D75)

  • PBrs1.o 5/30/2009

    surface 27segment: -2

    1.27489E-15 0.0254

    surface 27segment: 2 3

    1.35356E-15 0.0253

    surface 27segment: 2 -3 -6

    1.59001E-15 0.0259

    surface 27segment: 2 -3 6 7

    1.51149E-15 0.0259

    surface 27segment: 2 -3 6 -7 -21

    7.28563E-15 0.0126

    surface 27segment: 2 -3 6 -7 21 -22

    7.43915E-15 0.0125

    surface 27segment: 2 -3 6 -7 21 22 -23

    7.33610E-15 0.0125

    surface 27segment: 2 -3 6 -7 21 22 23 -24

    7.36363E-15 0.0126

    surface 27segment: 2 -3 6 -7 21 22 23 24

    7.26979E-15 0.0046

    surface 28segment: -2

    6.72562E-16 0.0260

    surface 28segment: 2 3

    6.93648E-16 0.0256

    surface 28segment: 2 -3 -6

    8.04316E-16 0.0276

    surface 28segment: 2 -3 6 7

    7.58138E-16 0.0271

    surface 28segment: 2 -3 6 -7 -21

    3.13258E-15 0.0143

    surface 28segment: 2 -3 6 -7 21 -22

    9Calculation No. PM-1083, Rev. 0 Attachment D (Page D9 of D75)

  • PBrs1.o 5/30/2009

    3.23005E-15 0.0141

    surface 28segment: 2 -3 6 -7 21 22 -23

    3.19447E-15 0.0142

    surface 28segment: 2 -3 6 -7 21 22 23 -24

    3.16036E-15 0.0141

    surface 28segment: 2 -3 6 -7 21 22 23 24

    3.13435E-15 0.0052

    surface 29segment: -2

    3.19758E-16 0.0270

    surface 29segment: 2 3

    3.35201E-16 0.0274

    surface 29segment: 2 -3 -6

    3.84221E-16 0.0283

    surface 29segment: 2 -3 6 7

    3.65135E-16 0.0277

    surface 29segment: 2 -3 6 -7 -21

    1.32916E-15 0.0158

    surface 29segment: 2 -3 6 -7 21 -22

    1.38544E-15 0.0156

    surface 29segment: 2 -3 6 -7 21 22 -23

    1.36407E-15 0.0157

    surface 29segment: 2 -3 6 -7 21 22 23 -24

    1.33969E-15 0.0159

    surface 29segment: 2 -3 6 -7 21 22 23 24

    1.33724E-15 0.0058

    surface 30segment: -2

    1.51925E-16 0.0285

    surface 30segment: 2 3

    1.61516E-16 0.0285

    10Calculation No. PM-1083, Rev. 0 Attachment D (Page D10 of D75)

  • PBrs1.o 5/30/2009

    surface 30segment: 2 -3 -6

    1.81383E-16 0.0296

    surface 30segment: 2 -3 6 7

    1.74717E-16 0.0296

    surface 30segment: 2 -3 6 -7 -21

    5.65637E-16 0.0176

    surface 30segment: 2 -3 6 -7 21 -22

    5.80514E-16 0.0173

    surface 30segment: 2 -3 6 -7 21 22 -23

    5.80783E-16 0.0172

    surface 30segment: 2 -3 6 -7 21 22 23 -24

    5.62206E-16 0.0176

    surface 30segment: 2 -3 6 -7 21 22 23 24

    5.65081E-16 0.0064

    surface 31segment: -2

    6.74962E-17 0.0304

    surface 31segment: 2 3

    7.17668E-17 0.0303

    surface 31segment: 2 -3 -6

    8.40617E-17 0.0314

    surface 31segment: 2 -3 6 7

    7.78816E-17 0.0314

    surface 31segment: 2 -3 6 -7 -21

    2.35765E-16 0.0195

    surface 31segment: 2 -3 6 -7 21 -22

    2.44906E-16 0.0190

    surface 31segment: 2 -3 6 -7 21 22 -23

    2.43233E-16 0.0190

    surface 31segment: 2 -3 6 -7 21 22 23 -24

    11Calculation No. PM-1083, Rev. 0 Attachment D (Page D11 of D75)

  • PBrs1.o 5/30/2009

    2.32883E-16 0.0196

    surface 31segment: 2 -3 6 -7 21 22 23 24

    2.36451E-16 0.0071

    surface 20segment: -2

    2.39165E-17 0.0332

    surface 20segment: 2 3

    2.57492E-17 0.0332

    surface 20segment: 2 -3 -6

    3.05480E-17 0.0347

    surface 20segment: 2 -3 6 7

    2.79797E-17 0.0336

    surface 20segment: 2 -3 6 -7 -21

    7.99483E-17 0.0217

    surface 20segment: 2 -3 6 -7 21 -22

    8.32255E-17 0.0211

    surface 20segment: 2 -3 6 -7 21 22 -23

    8.27956E-17 0.0210

    surface 20segment: 2 -3 6 -7 21 22 23 -24

    7.94216E-17 0.0218

    surface 20segment: 2 -3 6 -7 21 22 23 24

    8.03972E-17 0.0079

    ===================================================================================================================================

    results of 10 statistical checks for the estimated answer for the tally fluctuation chart (tfc) bin of tally 2

    tfc bin --mean-- ---------relative error--------- ----variance of the variance---- --figure of merit-- -pdf-behavior behavior value decrease decrease rate value decrease decrease rate value behavior slope

    desired random

  • PBrs1.o 5/30/2009

    the results in other bins associated with this tally may not meet these statistical criteria.

    ----- estimated confidence intervals: -----

    estimated asymmetric confidence interval(1,2,3 sigma): 7.6894E-14 to 7.7265E-14; 7.6709E-14 to 7.7450E-14; 7.6524E-14 to 7.7636E-14estimated symmetric confidence interval(1,2,3 sigma): 7.6894E-14 to 7.7265E-14; 7.6709E-14 to 7.7450E-14; 7.6523E-14 to 7.7635E-14

    1analysis of the results in the tally fluctuation chart bin (tfc) for tally 2 with nps = 25000000 print table 160

    normed average tally per history = 7.70793E-14 unnormed average tally per history = 1.08401E-08estimated tally relative error = 0.0024 estimated variance of the variance = 0.0000relative error from zero tallies = 0.0016 relative error from nonzero scores = 0.0018

    number of nonzero history tallies = 408672 efficiency for the nonzero tallies = 0.0163history number of largest tally = 4536888 largest unnormalized history tally = 1.28939E-05(largest tally)/(average tally) = 1.18946E+03 (largest tally)/(avg nonzero tally)= 1.94440E+01

    (confidence interval shift)/mean = 0.0000 shifted confidence interval center = 7.70796E-14

    if the largest history score sampled so far were to occur on the next history, the tfc bin quantities would change as follows:

    estimated quantities value at nps value at nps+1 value(nps+1)/value(nps)-1.

    mean 7.70793E-14 7.70830E-14 0.000048relative error 2.40399E-03 2.40435E-03 0.000148variance of the variance 1.51432E-05 1.52842E-05 0.009306shifted center 7.70796E-14 7.70796E-14 0.000000figure of merit 3.02589E+03 3.02500E+03 -0.000296

    the estimated inverse power slope of the 198 largest tallies starting at 5.43839E-06 is 9.5557the history score probability density function appears to have an unsampled region at the largest history scores:please examine. see print table 161.

    fom = (histories/minute)*(f(x) signal-to-noise ratio)**2 = (4.372E+05)*( 8.319E-02)**2 = (4.372E+05)*(6.921E-03) = 3.026E+03

    1tally 22 nps = 25000000tally type 2 particle flux averaged over a surface.tally for photons

    this tally is modified by a dose function.

    areassurface: 19 25 26 27 28 29 30

    segment1 1.93290E+00 1.93290E+00 1.93290E+00 1.93290E+00 1.93290E+00 1.93290E+00 1.93290E+002 1.93290E+00 1.93290E+00 1.93290E+00 1.93290E+00 1.93290E+00 1.93290E+00 1.93290E+003 1.60770E+00 1.60770E+00 1.60770E+00 1.60770E+00 1.60770E+00 1.60770E+00 1.60770E+004 1.60770E+00 1.60770E+00 1.60770E+00 1.60770E+00 1.60770E+00 1.60770E+00 1.60770E+005 2.13600E+05 2.13600E+05 2.13600E+05 2.13600E+05 2.13600E+05 2.13600E+05 2.13600E+05

    surface: 31 20segment

    1 1.93290E+00 1.93290E+002 1.93290E+00 1.93290E+003 1.60770E+00 1.60770E+004 1.60770E+00 1.60770E+005 2.13600E+05 2.13600E+05

    13Calculation No. PM-1083, Rev. 0 Attachment D (Page D13 of D75)

  • PBrs1.o 5/30/2009

    surface 19segment: -2

    4.93966E-11 0.0244

    surface 19segment: 2 3

    4.92641E-11 0.0240

    surface 19segment: 2 -3 -6

    5.86835E-11 0.0248

    surface 19segment: 2 -3 6 7

    5.89119E-11 0.0244

    surface 19segment: 2 -3 6 -7

    7.71401E-14 0.0020

    surface 25segment: -2

    3.90868E-11 0.0241

    surface 25segment: 2 3

    4.11788E-11 0.0237

    surface 25segment: 2 -3 -6

    4.79158E-11 0.0242

    surface 25segment: 2 -3 6 7

    4.67300E-11 0.0241

    surface 25segment: 2 -3 6 -7

    3.80145E-14 0.0027

    surface 26segment: -2

    2.31688E-11 0.0244

    surface 26segment: 2 3

    2.47886E-11 0.0242

    surface 26segment: 2 -3 -6

    2.87603E-11 0.0247

    surface 26segment: 2 -3 6 7

    2.89673E-11 0.0250

    surface 26

    14Calculation No. PM-1083, Rev. 0 Attachment D (Page D14 of D75)

  • PBrs1.o 5/30/2009

    segment: 2 -3 6 -71.67520E-14 0.0033

    surface 27segment: -2

    1.27489E-11 0.0254

    surface 27segment: 2 3

    1.35356E-11 0.0253

    surface 27segment: 2 -3 -6

    1.59001E-11 0.0259

    surface 27segment: 2 -3 6 7

    1.51149E-11 0.0259

    surface 27segment: 2 -3 6 -7

    7.29928E-15 0.0038

    surface 28segment: -2

    6.72562E-12 0.0260

    surface 28segment: 2 3

    6.93648E-12 0.0256

    surface 28segment: 2 -3 -6

    8.04316E-12 0.0276

    surface 28segment: 2 -3 6 7

    7.58138E-12 0.0271

    surface 28segment: 2 -3 6 -7

    3.14973E-15 0.0043

    surface 29segment: -2

    3.19758E-12 0.0270

    surface 29segment: 2 3

    3.35201E-12 0.0274

    surface 29segment: 2 -3 -6

    3.84221E-12 0.0283

    surface 29segment: 2 -3 6 7

    3.65135E-12 0.0277

    15Calculation No. PM-1083, Rev. 0 Attachment D (Page D15 of D75)

  • PBrs1.o 5/30/2009

    surface 29segment: 2 -3 6 -7

    1.34316E-15 0.0048

    surface 30segment: -2

    1.51925E-12 0.0285

    surface 30segment: 2 3

    1.61516E-12 0.0285

    surface 30segment: 2 -3 -6

    1.81383E-12 0.0296

    surface 30segment: 2 -3 6 7

    1.74717E-12 0.0296

    surface 30segment: 2 -3 6 -7

    5.67542E-16 0.0053

    surface 31segment: -2

    6.74962E-13 0.0304

    surface 31segment: 2 3

    7.17668E-13 0.0303

    surface 31segment: 2 -3 -6

    8.40617E-13 0.0314

    surface 31segment: 2 -3 6 7

    7.78816E-13 0.0314

    surface 31segment: 2 -3 6 -7

    2.37389E-16 0.0059

    surface 20segment: -2

    2.39165E-13 0.0332

    surface 20segment: 2 3

    2.57492E-13 0.0332

    surface 20segment: 2 -3 -6

    3.05480E-13 0.0347

    surface 20

    16Calculation No. PM-1083, Rev. 0 Attachment D (Page D16 of D75)

  • PBrs1.o 5/30/2009

    segment: 2 -3 6 72.79797E-13 0.0336

    surface 20segment: 2 -3 6 -7

    8.07219E-17 0.0066

    ===================================================================================================================================

    results of 10 statistical checks for the estimated answer for the tally fluctuation chart (tfc) bin of tally 22

    tfc bin --mean-- ---------relative error--------- ----variance of the variance---- --figure of merit-- -pdf-behavior behavior value decrease decrease rate value decrease decrease rate value behavior slope

    desired random

  • PBrs1.o 5/30/2009

    fom = (histories/minute)*(f(x) signal-to-noise ratio)**2 = (4.372E+05)*( 1.017E-01)**2 = (4.372E+05)*(1.034E-02) = 4.521E+03

    1status of the statistical checks used to form confidence intervals for the mean for each tally bin

    tally result of statistical checks for the tfc bin (the first check not passed is listed) and error magnitude check for all bins

    2 passed the 10 statistical checks for the tally fluctuation chart bin resultpassed all bin error check: 81 tally bins all have relative errors less than 0.10 with no zero bins

    22 passed the 10 statistical checks for the tally fluctuation chart bin resultpassed all bin error check: 45 tally bins all have relative errors less than 0.10 with no zero bins

    the 10 statistical checks are only for the tally fluctuation chart bin and do not apply to other tally bins.

    1tally fluctuation charts

    tally 2 tally 22nps mean error vov slope fom mean error vov slope fom

    2048000 7.7203E-14 0.0084 0.0002 5.3 3015 7.7090E-14 0.0069 0.0001 10.0 45094096000 7.7283E-14 0.0059 0.0001 10.0 3030 7.7090E-14 0.0049 0.0001 10.0 45276144000 7.6807E-14 0.0049 0.0001 10.0 3019 7.6839E-14 0.0040 0.0000 10.0 45228192000 7.7031E-14 0.0042 0.0000 10.0 3023 7.7074E-14 0.0034 0.0000 10.0 4523

    10240000 7.6945E-14 0.0038 0.0000 10.0 3020 7.7028E-14 0.0031 0.0000 6.1 452412288000 7.7001E-14 0.0034 0.0000 10.0 3018 7.7040E-14 0.0028 0.0000 4.6 451814336000 7.6905E-14 0.0032 0.0000 10.0 3020 7.6967E-14 0.0026 0.0000 5.0 451816384000 7.7057E-14 0.0030 0.0000 10.0 3022 7.7002E-14 0.0024 0.0000 4.8 451618432000 7.7157E-14 0.0028 0.0000 10.0 3025 7.7109E-14 0.0023 0.0000 5.0 451920480000 7.7184E-14 0.0027 0.0000 10.0 3027 7.7162E-14 0.0022 0.0000 4.8 452222528000 7.7160E-14 0.0025 0.0000 8.6 3026 7.7134E-14 0.0021 0.0000 5.2 452024576000 7.7087E-14 0.0024 0.0000 9.4 3026 7.7133E-14 0.0020 0.0000 4.7 452125000000 7.7079E-14 0.0024 0.0000 9.6 3026 7.7140E-14 0.0020 0.0000 4.9 4521

    ***********************************************************************************************************************dump no. 2 on file runtpf nps = 25000000 coll = 472523354 ctm = 57.18 nrn = 6518761511

    surface-source file wssb with nps = 25000000 and 237227 tracks was written forsurface(s) 20

    29 warning messages so far.

    run terminated when 25000000 particle histories were done.

    computer time = 57.52 minutes

    mcnp version 5 07-10-03 05/30/09 20:33:36 probid = 05/30/09 19:35:46

    18Calculation No. PM-1083, Rev. 0 Attachment D (Page D18 of D75)

  • PBrs2.o 5/30/2009

    Thread Name & Version = mcnp5_RSICC, 4.23_

    ._ _ _ ._ ._ |_| | | (_ | | |_) _)

    |+--------------------------------------------------------------------+| This program was prepared by the Regents of the University of ||California at Los Alamos National Laboratory (the University) under || contract number W-7405-ENG-36 with the U.S. Department of Energy ||(DoE). The University has certain rights in the program pursuant to|| the contract and the program should not be copied or distributed || outside your organization. All rights in the program are reserved ||by the DoE and the University. Neither the U.S. Government nor the || University makes any warranty, express or implied, or assumes any || liability or responsibility for the use of this software. |+--------------------------------------------------------------------+

    1mcnp version 5 ld=07-10-03 05/30/09 17:21:01************************************************************************* probid = 05/30/09 17:21:01

    inp = PBrs2 outp = PBrs2.o

    1- c Created on: Thursday, May 14, 2009 at 23:162- 1 228 -2.243 1 -4 5 -8 9 -10 $floor3- 2 228 -2.243 1 -2 5 -8 10 -19 $wall 14- 3 228 -2.243 3 -4 5 -8 10 -19 $wall 25- 4 228 -2.243 2 -3 5 -6 10 -19 $wall 36- 5 228 -2.243 2 -3 7 -8 10 -19 $wall 47- 6 280 -0.9 -21 11 -12 $L1-NE8- 7 280 -0.9 -22 11 -12 $L1-NW9- 8 280 -0.9 -23 11 -12 $L1-SE

    10- 9 280 -0.9 -24 11 -12 $L1-SW11- 10 280 -0.9 -21 13 -14 $L2-NE12- 11 280 -0.9 -22 13 -14 $L2-NW13- 12 280 -0.9 -23 13 -14 $L2-SE14- 13 280 -0.9 -24 13 -14 $L2-SW15- 22 204 -0.00122 2 -3 6 -7 10 -19 #6 #7 #8 #9 #10 #11 #12 #1316- 23 228 -2.243 1 -4 5 -8 19 -2517- 24 228 -2.243 1 -4 5 -8 25 -2618- 25 228 -2.243 1 -4 5 -8 26 -2719- 26 228 -2.243 1 -4 5 -8 27 -2820- 27 228 -2.243 1 -4 5 -8 28 -2921- 28 228 -2.243 1 -4 5 -8 29 -3022- 29 228 -2.243 1 -4 5 -8 30 -3123- 30 228 -2.243 1 -4 5 -8 31 -2024- 31 0 -1 :4 :-5 :8 :-9 :2025-26- *1 px -243.8427- 2 px -226.0628- 3 px 226.0629- *4 px 243.8430- *5 py -25431- 6 py -236.2232- 7 py 236.2233- *8 py 25434- 9 pz -7.6235- 10 pz 036- 11 pz 55.8837- 12 pz 238.76

    1Calculation No. PM-1083, Rev. 0 Attachment D (Page D19 of D75)

  • PBrs2.o 5/30/2009

    38- 13 pz 316.2339- 14 pz 499.1140- 15 pz 576.5841- 16 pz 759.4642- 17 pz 836.9343- 18 pz 1019.8144- 19 pz 1097.2845- 20 pz 1158.2446- 21 c/z -113.03 -118.11 76.247- 22 c/z 113.03 -118.11 76.248- 23 c/z -113.03 118.11 76.249- 24 c/z 113.03 118.11 76.250- 25 pz 1104.951- 26 pz 1112.5252- 27 pz 1120.1453- 28 pz 1127.7654- 29 pz 1135.3855- 30 pz 114356- 31 pz 1150.6257-58- mode p59- m280 1001.60c -0.111915 $Water (density of 1 assumed)

    warning. neutron table inconsistent with mode will be ignored.60- 8016.60c -0.888085

    warning. neutron table inconsistent with mode will be ignored.61- m228 1001.60c -0.005558 $concrete (ordinary with ENDF-VI)

    warning. neutron table inconsistent with mode will be ignored.62- 8016.60c -0.498076 11023.60c -0.017101 12000.60c -0.002565

    warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    63- 13027.60c -0.045746 14000.60c -0.315092 16000.60c -0.001283warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    64- 19000.60c -0.019239 20000.60c -0.082941 26054.60c -0.000707warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    65- 26056.60c -0.01139 26057.60c -0.000265 26058.60c -3.6e-005warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    66- m204 7014.60c -0.755636 $air (US S. Atm at sea level)warning. neutron table inconsistent with mode will be ignored.

    67- 8016.60c -0.231475 18000.59c -0.012889warning. neutron table inconsistent with mode will be ignored.warning. neutron table inconsistent with mode will be ignored.

    68- imp:p 1 3 3r 1 7r $ 1, 1369- 3 6 12 24 48 $ 22, 270- 96 192 384 768 0 $ 27, 371- phys:p 100 1 072- sdef erg=d5 x=d1 y=d2 z=d3 cel=d4 eff=0.0000173- si1 -190 19074- sp1 0.0 1.075- si2 -195 19576- sp2 0.0 1.077- si3 55 500

    2Calculation No. PM-1083, Rev. 0 Attachment D (Page D20 of D75)

  • PBrs2.o 5/30/2009

    78- sp3 0.0 1.079- si4 l 6 7 8 9 10 11 12 1380- sp4 1 1 1 1 1 1 1 181- si5 l 1.1730 1.332582- sp5 1 183- ssw 2084- f2:p 19 25 26 27 28 29 30 31 20

    warning. without bremsstrahlung, flux estimates will be low.85- fs2 -2 3 -6 7 -21 -22 -23 -2486- sd2 19329 19329 16077 16077 18241 18241 18241 18241 140636 &87- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &88- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &89- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &90- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &91- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &92- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &93- 19329 19329 16077 16077 18241 18241 18241 18241 140636 &94- 19329 19329 16077 16077 18241 18241 18241 18241 14063695- f22:p 19 25 26 27 28 29 30 31 20

    warning. without bremsstrahlung, flux estimates will be low.96- fs22 -2 3 -6 797- sd22 1.9329 1.9329 1.6077 1.6077 213600 &98- 1.9329 1.9329 1.6077 1.6077 213600 &99- 1.9329 1.9329 1.6077 1.6077 213600 &

    100- 1.9329 1.9329 1.6077 1.6077 213600 &101- 1.9329 1.9329 1.6077 1.6077 213600 &102- 1.9329 1.9329 1.6077 1.6077 213600 &103- 1.9329 1.9329 1.6077 1.6077 213600 &104- 1.9329 1.9329 1.6077 1.6077 213600 &105- 1.9329 1.9329 1.6077 1.6077 213600106- de2 0.01 0.03 0.05 0.07 0.10 0.15 0.20 &107- 0.25 0.30 0.35 0.40 0.45 0.50 0.55 &108- 0.60 0.65 0.70 0.80 1.00 1.40 1.80 &109- 2.20 2.60 2.80 3.25 3.75 4.25 4.75 &110- 5.00 5.25 5.75 6.25 6.75 7.50 9.00 &111- 11.0 13.0 15.0112- df2 LIN 3.96E-06 5.82E-07 2.90E-07 2.58E-07 2.83E-07 3.79E-07 5.01E-07 &113- 6.31e-07 7.59E-07 8.78E-07 9.85E-07 1.08E-06 1.17E-06 1.27E-06 &114- 1.36e-06 1.44E-06 1.52E-06 1.68E-06 1.98E-06 2.51E-06 2.99E-06 &115- 3.42e-06 3.82E-06 4.01E-06 4.41E-06 4.83E-06 5.23E-06 5.60E-06 &116- 5.80e-06 6.01E-06 6.37E-06 6.74E-06 7.11E-06 7.66E-06 8.77E-06 &117- 1.03e-05 1.18E-05 1.33E-05118- de22 0.01 0.03 0.05 0.07 0.10 0.15 0.20 &119- 0.25 0.30 0.35 0.40 0.45 0.50 0.55 &120- 0.60 0.65 0.70 0.80 1.00 1.40 1.80 &121- 2.20 2.60 2.80 3.25 3.75 4.25 4.75 &122- 5.00 5.25 5.75 6.25 6.75 7.50 9.00 &123- 11.0 13.0 15.0124- df22 LIN 3.96E-06 5.82E-07 2.90E-07 2.58E-07 2.83E-07 3.79E-07 5.01E-07 &125- 6.31e-07 7.59E-07 8.78E-07 9.85E-07 1.08E-06 1.17E-06 1.27E-06 &126- 1.36e-06 1.44E-06 1.52E-06 1.68E-06 1.98E-06 2.51E-06 2.99E-06 &127- 3.42e-06 3.82E-06 4.01E-06 4.41E-06 4.83E-06 5.23E-06 5.60E-06 &128- 5.80e-06 6.01E-06 6.37E-06 6.74E-06 7.11E-06 7.66E-06 8.77E-06 &129- 1.03e-05 1.18E-05 1.33E-05130- nps 50000000

    warning. sum of segment sizes differs from total in 18 cases.1cells print table 60

    3Calculation No. PM-1083, Rev. 0 Attachment D (Page D21 of D75)

  • PBrs2.o 5/30/2009

    atom gram photoncell mat density density volume mass pieces importance