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MCNP5 CriticalityValidation and Bias forIntermediate EnrichedUranium Systems

Prepared for the U.S. Department of EnergyAssistant Secretary for Environmental ManagementContractor for the U.S. Department of Energyunder Contract DE-AC06-08Rl14788

4It CH2MHILL~ Plateau Remediation Company

P.O. Box 1600Richland, Washington 99352

Approved for Public Rejease;Further Dissemination Unlimited

CHPRC-00455Revision 0

CHPRC-00455 SRevision 0

EDC #: PRC-EDC-09-43935

MCNP5 Criticality Validation andBias for Intermediate EnrichedUranium Systems

Document Type: TR

S. H. FinfrockCH2M HILL Plateau Remediation Company

Date Published

December 2009

Prepared for the U.S. Department of EnergyAssistant Secretary for Environmental Management

Contractor for the U.S. Department of Energyunder Contract DE-AC06-08RL14788

4it CH2MHILL~ Plateau Remediation Company

P.O. Box 1600Richland, Washington

.A/QAA.~ {l &u-od 1~-lo-o9Release App oval Date

DATE:

STA: /5

Release Stamp

10:

Approved for Public Retease;Further Dissemination Unlimited

-~ -----------~-----

TRADEMARK DISCLAIMERReference herein to any specific commercial product, process,or service by trade name, trademark, manufacturer, orotherwise, does not necessarily constitute or imply itsendorsement, recommendation, or favoring by the UnitedStates Government or any agency thereof or its contractors orsubcontractors.

This report has been reproduced from the best available copy.

Printed in the United States of America

CHPRC-00455Revision 0

Total Pages: 75

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MCNP5Criticality Validation and Bias

forIntermediate Enriched Uranium Systems

Prepared byCH2M HILL Plateau Remediation Company

Richland, Washington

December 2009

CHPRC-00455, REV. 0

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MCNP5 Criticality Validation and Bias forIntermediate Enriched Uranium Systems

May 2007

Prepared byFluor Government Group

Richland, Washington

Prepared by:. ~ :S . ...b- ..J. S. Lan, Criticality and Shielding

Reviewed by:~~ ?1~E. M. Miller, CrWcality awl Shielding

nate~ ~/z,.y.1(J 7

Approved by: L /1) pl/O Date: .u;7.7~~R.~f:-i,...J.~---;J~ag-e'r,-L'ri-·-tical-i-ty-an-d-Sh-i-el-di-ng----"; '1

III

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TABLE OF CONTENTS

1.0 INTRODUCTION 1

2.0 DESCRIPTION OF EXPERIMENTS AND RESULTS .1

2.1 UPPER SUBCRITICAL LIMIT AND BENCHMARK SELECTION 1

2.2 DESCRIPTION OF BENCHMARK CASES 2

2.3 CALCULATED MCNP RESULTS 10

3.0 STATISTICAL ANALYSIS 14

4.0 DISCUSSION OF CODE AND CROSS SECTIONS USED 19

5.0 RECOMMENDED USL 19

6.0 REFERENCES 20

APPENDIX A - TECHNICAL PEER REVIEW A-I

APPENDIX B - TABLE OF CROSS-SECTIONS UTILIZED B-l

APPENDIX C - MCNP INPUT FILES C-l

APPENDIX D - USLSTATS OUTPUTS D-l

APPENDIX E - MANAGEMENT DECISION E-l

LIST OF TABLES

Table 2-1. Case Name and Short Description 3Table 2-2. Case Name and Reported Information 7Table 2-3. Case Name and MCNP Results 10Table B-1. MCNP Cross Section ID's Used in This Analysis B-3

LIST OF FIGURES

Figure 3-1. keff Data and the USLSTATS Trending Results 17

v

AEG

CSER

DVD

EALF

HIU

WX

MCNP

NEA

lEU

IEUCT

LANL

LEUCT

LEUST

ORNL

PC

PDF

USL

VrnNf

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LIST OF ACRONYMS

Average Energy Group

Criticality Safety Evaluation Report

Digital Versatile Disc

Energy of Average Lethargy causing Fission

Hydrogen to Uranium ratio

Hydrogen to Fissile ratio

Monte Carlo N-Particle

Nuclear Energy Agency

Intermediate Enriched Uranium

Intermediate Enriched Uranium, Compound, Thermal spectrum Systems

Los Alamos National Laboratory

Low Enriched Uranium, Compound, Thermal spectrum Systems

Low Enriched Uranium, Solution, Thermal spectrum Systems

Oak Ridge National Laboratory

Personal Computer

electronic format

Upper Subcritical Limit

Volume of Fuel Ratio

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1.0 INTRODUCTION

The purpose ofthis analysis is to validate the Monte Carlo N-Particle 5 (MCNP5) codeVersion 1.40 (LA-UR-03-1987, 2005) and its cross-section database for k-code calculations ofintennediate enriched uranium systems on INTEL® processor based PC's running any version ofthe WINDOWS operating system. Configurations with intennediate enriched uranium weremodeled with the moderator range of 39 :s HlFissile :s 1438. See Table 2-1 for brief descriptionsof selected cases and Table 3-1 for the range of applicability for this validation. A total of 167input cases were evaluated including bare and reflected systems in a single body or arrays. The167 cases were taken directly from the previous (Version 4C [Lan 2005]) validation database.Section 2.0 list data used to calculate k-effective (keff) for the 167 experimental criticalitybenchmark cases using the MCNP5 code v1.40 and its cross section database. Appendix B liststhe MCNP cross-section database entries validated for use in evaluating the intennediateenriched uranium systems for criticality safety.

The dimensions and atom densities for the intermediate enriched uranium experimentswere taken from NEA/NSC/DOC(95)03, September 2005, which will be referred to as thebenchmark handbook throughout the report. For these input values, the experimental benchmarkkeff is approximately 1.0. The MCNP validation computer runs ran to an accuracy ofapproximately ±0.001. For the cases where the reported benchmark keffwas not equal to 1.0000the MCNP calculational results were nonnalized. The difference between the MCNP validationcomputer runs and the experimentally measured keffis the MCNP5 v1.40 bias. The USLSTATScode (ORNL 1998) was utilized to perfonn the statistical analysis and generate an acceptablemaximum keff limit for calculations of the intennediate enriched uranium type systems.

2.0 DESCRIPTION OF EXPERIMENTS AND RESULTS

2.1 UPPER SUBCRITICAL LIMIT AND BENCHMARK SELECTION

A common approach to ensuring subcriticality for a fissile unit is to detennine amaximum keff limit below which all the k-code calculations of nonnal and abnonnal conditionsmust fall. This limit is called the Upper Subcritical Limit (USL). This report perfonnsvalidation studies, using critical experiments similar to actual or anticipated facility applicationsto detennine the bias and uncertainty in the bias. The bias is a measure of the systematicdifferences between the MCNP calculational results and the experimental data. The uncertaintyin the bias is a measure of both the accuracy and precision of the calculational and uncertainty inthe experimental data.

Historically, certain parameters have been used to trend the bias because these are theparameters that have been found to have the greatest effect on the bias. These parametersinclude the moderator-to-fuel ratio (e.g., H/X, VrnNf), Pu to Pu + U ratio (not applicable in thisvalidation), and parameters that characterize the neutron energy spectrum (e.g., energy of

® INTEL is a registered trademark of the Intel Corporation, Santa Clara, California.

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average lethargy causing fission [EALF], average energy group [AEG]). Other parameters, suchas material density or overall geometric shape, are generally considered to be of less importancein regard to a USL determination.

This report used benchmark cases selected from the handbook for validation analyses ofthe MCNP5 Version 1.40. Since the purpose of this evaluation is to support criticality safetyanalysis of intermediate enriched uranium fuels, cases were selected based on uranium being thesole fissile isotope. Benchmark experiments selected include cases being significantlymoderated, as well as cases with little moderation to cover a broad neutron energy spectrum.Table 2-1 contains the case names and information on each benchmark case. Table 2-2 containsMCNP kef[ results of this validation study.

2.2 DESCRIPTION OF BENCHMARK CASES

The benchmark handbook is a collection of evaluated experimental data representative ofconfigurations encountered in the nuclear fuel cycle. The data is useful for the validation ofneutronic codes and the associated nuclear data libraries used for criticality safety analysis.

The handbook is produced in electronic format (PDF files) where the experiments aregrouped into evaluations, which are categorized by fissile media (Pu, Low Enriched Uranium,... ), fuel form (Solution, Metal, ... ) and by neutron spectrum description (Thermal, Fast, ... ).The evaluations are structured into different sections where the experimental program isdescribed, the data are evaluated, the effect of experimental data uncertainties is assessed, andthe benchmark models are discussed. Sample calculations are also presented and calculatedspectral characteristics of the experiments are provided.

Table 2-1 below contains a list of the cases run (sorted by geometry identifier and casename) and a short description of each case. The moderator, reflector, H/235U ratio, and form ofuranium are included to demonstrate the range of benchmark experiments included in thisvalidation. For the LEU-COMP-THERM-049 series of cases the HID e35U + 238U) is given.

The given case name is directly related to the benchmark evaluation name from thehandbook. IEUCT stands for Intermediate Enriched Uranium systems, Compound, Thermalneutron spectrum systems, LEUCT stands for Low Enriched Uranium systems, Compound,Thermal neutron spectrum systems and LEUST stands for Low Enriched Uranium systems,Solution, Thermal neutron spectrum systems, etc. But EU has been neglected in case names toshorten the column width in the following tables. The numbers stand for the specific evaluationnumber, and the experiment (or case) number taken from the NEA benchmark handbook.

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Table 2-1. Case Name and Short Description

Case Name Geometry Form Moderator Reflector HIU

CT-002-001 U02 HEX Array with Annular Fuel Rods U(17%)02 H2O H2O NAlCT-002-002 U02HEX Arrav with Annular Fuel Rods U(17%)02 H2O H2O NACT-002-003 U02 HEX Array with Annular Fuel Rods U(17%)02 H2O H2O NA

CT-002-004 U02HEX Array with Annular Fuel Rods U(17%)02 H2O H2O NACT-002-005 U02 HEX Array with Annular Fuel Rods U(17%)02 H2O H2O NA

lCT-002-006 U02 HEX Array with Annular Fuel Rods U(17%)02 H2O H2O NA

iLCT-002-00 I U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-002-002 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-002-003 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-002-004 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-002-005 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NA

iLCT-004-001 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-002 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-003 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-004 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-005 U02 Fuel Rods with water reflector U(4.31% O2 H2O H2O NA

iLCT-004-006 U02 Fuel Rods with water reflector U(4.31% O2 H2O H2O NAiLCT-004-007 U02 Fuel Rods with water reflector U(4.31% O2 H2O H2O NAiLCT-004-008 U02 Fuel Rods with water reflector U(4.31%,02 H2O BeO NAiLCT-004-009 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NA

CT-004-010 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-011 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-012 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-013 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-014 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-015 U02 Fuel Rods with water reflector U(4.31% O2 H2O H2O NAiLCT-004-016 U02 Fuel Rods with water reflector U(4.31% O2 H2O H2O NAiLCT-004-0 I7 U02 Fuel Rods with water reflector U(4.31% O2 H2O H2O NAiLCT-004-018 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NAiLCT-004-019 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NA

CT-004-020 U02 Fuel Rods with water reflector U(4.31%)02 H2O H2O NA

iLCT-009-00 I U02 Fuel Rods, steel absorber U(4.31%)02 H2O H2O NAiLCT-009-002 U02 Fuel Rods, steel absorber U(4.31% O2 H2O H2O NAiLCT-009-003 U02 Fuel Rods, steel absorber U(4.31% O2 H2O H2O NAiLCT-009-004 U02 Fuel Rods, steel absorber U(4.31% ,02 H2O H2O NAiLCT-009-005 U02 Fuel Rods, steel absorber U(4.31% O2 H2O H2O NAiLCT-009-006 U02 Fuel Rods, steel absorber U(4.31%)02 H2O H2O NAII. CT-009-007 U02 Fuel Rods, steel absorber U(4.31%)02 H2O H2O NAiLCT-009-008 U02 Fuel Rods, steel absorber U(4.31%)02 H2O H2O NAiLCT-009-009 U02 Fuel Rods, boral absorber U(4.31%)02 H2O H2O NAiLCT-009-010 U02 Fuel Rods, steel absorber U(4.31%)02 H2O H2O NAiLCT-009-011 U02 Fuel Rods, copper absorber U(4.31%)02 H2O H2O NA

CT-009-012 U02 Fuel Rod, copper absorber s U(4.31%)02 H2O H2O NAiLCT-009-013 U02 Fuel Rods, copper absorber U(4.31% '02 H2O H2O NAiLCT-009-014 U02 Fuel Rods, copper absorber U(4.31% '02 H2O H2O NA

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iLCT-009-015 U02 Fuel Rods, copper absorber U(4.31%)02 H2O H2O NAiLCT-009-016 U02 Fuel Rods, cadmium absorber U(4.31% O2 H2O H2O NAiLCT-009-017 U02 Fuel Rods, cadmium absorber U(4.31%)02 H2O H2O NA~CT-009-018 U02 Fuel Rods, cadmium absorber U(4.31%)02 H2O H2O NA~CT-009-019 U02 Fuel Rods, cadmium absorber U(4.31% O2 H2O H2O NA

CT-009-020 U02 Fuel Rods, cadmium absorber U(4.31% O2 H2O H2O NALCT-009-021 U02 Fuel Rods, cadmium absorber U(4.31%)02 H2O H2O NAiLCT-009-022 U02 Fuel Rods, cadmium absorber U(4.31%)02 H2O H2O NALCT-009-023 U02Fuel Rods, cadmium absorber U(4.31%)02 H2O H2O NALCT-009-024 U02 Fuel Rods, cadmium absorber U(4.31%)02 H2O H2O NALCT-009-025 U02 Fuel Rods, cadmium absorber U(4.31%)02 H2O H2O NALCT-009-026 U02Fuel Rods, zircaloy-4 absorber U(4.31%)02 H2O H2O NALCT-009-027 U02Fuel Rods, zircaloy-4 absorber U(4.31%)02 H2O H2O NA

LCT-010-001 U02Fuel Rods, Lead Reflector U(4.31%)02 H2O H2O NALCT-010-002 U02 Fuel Rods, Lead Reflector U(4.31% O2 H2O H2O NALCT-01O-003 U02 Fuel Rods, Lead Reflector U(4.31% O2 H2O H2O NALCT-010-004 U02 Fuel Rods, Lead Reflector U(4.31% O2 HzO HzO NALCT-010-005 U02 Fuel Rods, Uranium Reflector U(4.31%)Oz HzO H2O NALCT-010-006 U02 Fuel Rods, Uranium Reflector U(4.31%)02 H2O H2O NALCT-010-007 UOz Fuel Rods, Uranium Reflector U(4.31%)02 HzO HzO NALCT-OI0-008 UOzFuel Rods, Uranium Reflector U(4.31%)Oz HzO HzO NALCT-010-009 UOz Fuel Rods, Steel Reflector U(4.31%)Oz H2O HzO NALCT-010-010 U02 Fuel Rods, Steel Reflector U(4.31%)Oz HzO H2O NALCT-OI0-0ll UOz Fuel Rods, Steel Reflector U(4.31%)02 HzO H2O NALCT-OI0-012 UOzFuel Rods, Steel Reflector U(4.31%)02 HzO HzO NALCT-010-013 UOzFuel Rods, Steel Reflector U(4.31%)Oz H2O H2O NALCT-010-014 U02 Fuel Rods, Steel Reflector U(4.31% O2 H2O H2O NALCT-010-015 U02Fuel Rods, Steel Reflector U(4.31%)02 H2O HzO NALCT-0 I0-0 16 U02 Fuel Rods, Steel Reflector U(4.31%)02 HzO HzO NALCT-010-017 U02 Fuel Rods, Steel Reflector U(4.31%)Oz HzO HzO NALCT-010-018 U02 Fuel Rods, Steel Reflector U(4.31% )Oz H2O H2O NALCT-010-019 U02Fuel Rods, Steel Reflector U(4.31%)02 H2O HzO NALCT-010-020 UOz Fuel Rods, Lead Reflector U(4.31%)02 HzO HzO NALCT-0 I0-021 UOz Fuel Rods, Lead Reflector U(4.31%)Oz HzO HzO NALCT-010-022 U02 Fuel Rods, Lead Reflector U(4.31%)Oz H2O H2O NA!LCT-010-023 U02Fuel Rods, Lead Reflector U(4.31%)02 H2O H2O NALCT-0 I0-024 U02 Fuel Rods, Uranium Reflector U(4.31% Oz HzO HzO NALCT-010-025 U02 Fuel Rods, Uranium Reflector U(4.31%)Oz HzO HzO NALCT-010-026 UOz Fuel Rods, Uranium Reflector U(4.31%)Oz HzO H2O NA!LCT-010-027 UOzFuel Rods, Uranium Reflector U(4.31%)02 HzO H2O NA!LCT-01O-028 UOzFuel Rods, Uranium Reflector U(4.31%)02 HzO H2O NAILCT-0 I0-029 U02 Fuel Rods, Uranium Reflector U(4.31% Oz HzO HzO NAILCT-0 I0-030 U02Fuel Rods, Uranium Reflector U(4.31%)02 HzO H2O NA

!LCT-026-001 U02 HEX Array Fuel, T=20° C U(4.92%)02 H2O H2O NAILCT-026-002 UOz HEX Array Fuel, T=231 ° C U(4.92%)02 H2O HzO NAILCT-026-003 UOz HEX Array Fuel, T=20° C U(4.92%)Oz HzO HzO NAILCT-026-004 U02 HEX Array Fuel, T=206° C U(4.92% Oz H2O HzO NA!LCT-026-005 U02HEX Array Fuel, T=20° C U(4.92%)Oz H2O H2O NA

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LCT-026-006 V02HEX Array Fuel, T=212° C V(4.92%)02 H2O H2O NA

LCT-042-00 I V02Fuel Rods, 304-L, Steel Reflector V 2.35%)02 H2O Stainless Steel NALCT-042-002 V02Fuel Rods, 304-L, Steel Reflector V 2.35%)02 H2O Stainless Steel NALCT-042-003 V02Fuel Rods, 304-L, Steel Reflector VI 2.35%)02 H2O Stainless Steel NALCT-042-004 V02 Fuel Rods, 304-L, Steel Reflector V 2.35%)02 H2O Stainless Steel NALCT-042-005 V02Fuel Rods, 304-L, Steel Reflector V 2.35%)02 H2O Stainless Steel NALCT-042-006 V02Fuel Rods, 304-L, Steel Reflector V 2.35%)02 H2O Stainless Steel NALCT-042-007 V02Fuel Rods, 304-L, Steel Reflector V(2.35%)02 H2O Stainless Steel NA

ILCT-049-001 V02Powder, Polyethylene Reflector V 5.0%)02 H2O Polyethylene 2.0iLCT-049-002 V02Powder, Polyethylene Reflector V 5.0%)02 H2O Polyethylene 2.0LCT-049-003 V02Powder, Polyethylene Reflector V(5.0%)02 H2O Polyethylene 2.0LCT-049-004 V02Powder, Polyethylene Reflector V 5.0%)02 H2O Polyethylene 2.0LCT-049-005 V02Powder, Polyethylene Reflector V(5.0%)02 H2O Polyethylene 2.5ILCT-049-006 V02Powder, Polyethylene Reflector V 5.0%)02 H2O Polyethylene 2.5iLCT-049-007 V02Powder, Polyethylene Reflector V 5.0%)02 H2O Polyethylene 2.5iLCT-049-008 V02Powder, Polyethylene Reflector V 5.0% O2 H2O Polyethylene 2.5iLCT-049-009 V02Powder, Polyethylene Reflector V 5.0% O2 H2O Polyethylene 3.0iLCT-049-010 V02Powder, Polyethylene Reflector V 5.0% O2 H2O Polyethylene 3.0iLCT-049-0 II V02Powder, Polyethylene Reflector V 5.0% O2 H2O Polyethylene 3.0iLCT-049-012 V02Powder, Polyethylene Reflector V(5.0% O2 H2O Polyethylene 3.0iLCT-049-013 V02Powder, Polyethylene Reflector V 5.0%)02 H2O Polyethylene mixediLCT-049-014 V02Powder, Polyethylene Reflector V(5.0%)02 H2O Polyethylene mixediLCT-049-015 V02Powder, Polyethylene Reflector V 5.0%)02 H2O Polyethylene mixediLCT-049-016 V02Powder, Polyethylene Reflector V(5.0%)02 H2O Polyethylene mixediLCT-049-017 V02Powder, Polyethylene Reflector V(5.0% O2 H2O Polyethylene mixediLCT-049-018 V02Powder, Polyethylene Reflector V(5.0% O2 H2O Polyethylene !mixed

iLCT-052-001 V02HEX Array Fuel V(4.738%)02 H2O Gd(N03)3 NA!LCT-052-002 V02HEX Array Fuel V(4.738%)02 H2O Gd(N03)3 NA!LCT-052-003 V02HEX Array Fuel V(4.738%)02 H2O Gd(N03)3 NAiLCT-052-004 V02HEX Array Fuel V(4.738%)02 H2O Gd(N03)3 NAiLCT-052-005 V02HEX Array Fuel V(4.738%)02 H2O Gd(N03)3 NAiLCT-052-006 V02HEX Array Fuel V(4.738%)02 H2O Gd(N03)3 NA

!LST-003-001 32.95 cm sphere, 126.3 L. 296 g V/L VI 10%102(N03h H2O Bare 770!LST-003-002 32.95 cm sphere, 144.1 L. 264 g V/L VI 10% 02(N03h H2O Bare 878iLST-003-003 32.95 cm sphere, 149.9 L. 260 g V/L VI 10%,02(N03h H2O Bare 897iLST-003-004 43.63 em sphere, 197.6 L. 255 g V/L VI 10% 02(N03)2 H2O Bare 913!LST-003-005 43.63 em sphere, 318.6 L. 203 g V/L V(lO% 02(N03h H2O Bare 1173LST-003-006 43.63 em sphere, 347.9 L. 197 g V/L VI 10% 02(N03 2 H2O Bare 1213iLST-003-007 59.89 em sphere, 501.8 L. 193 g V/L VI 10% ,02(N°32 H2O Bare 1240iLST-003-008 59.89 cm sphere, 845.2 L. 171 g V/L VI 10%,02(N032 H2O Bare 1412

ST-003-009 59.89 cm sphere, 899.8 L. 168 g V/L VI 10%,02(N032 H2O Bare 1438

!LST-004-001 60 em ID cylinder tank, 310 g V/L VO 0%)02(N03)2 H2O H2O 719iLST-004-029 60 em ID cylinder tank, 290 g U/L V(10% 02(N03)2 H2O H2O 771iLST-004-033 60 cm ID cylinder tank, 270 g V/L V( 10% 02(N03)2 H2O H2O 842iLST-004-034 60 cm ID cylinder tank, 254 g V/L V( 10% 02(N03)2 H2O H2O 896

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LST-004-046 60 cm ID cylinder tank, 242 gUlL U(l0%)Oz(N03)Z HzO HzO 942LST-004-051 60 cm ID cylinder tank, 233 gUlL U(l0%)Oz(N03)Z HzO HzO 983LST-004-054 60 cm ID cylinder tank, 226 gUlL U(1O%)Oz(N03)z HzO HzO 1018

LST-005-001 110 cm ID cylinder tank, B4C Rods U(5.64%)OlN03h HzO HzO and HN03 972LST-005-002 110 cm ID cylinder tank, B4C Rods U(5.64%)Oz(N03h HzO HzO and HN03 972LST-005-003 110 cm ID cylinder tank, B4C Rods U(5.64%)OZ(N03h HzO HzO and HN03 972

ILST-006-001 110 cm ID cylinder tank, B4C Rods U(l0%)Oz(N03)Z HzO HzO andHN03 532ILST-006-002 110 cm ID cylinder tank, B4C Rods U(l0%)Oz(N03h HzO HzOandHN03 532iLST-006-003 110 cm ID cylinder tank, B4C Rods U(1O%)Oz(N03)z HzO HzO and HN03 532iLST-006-004 110 cm ID cylinder tank, B4C Rods U(l0%)Oz(N03)Z HzO HzO and HN03 532ILST-006-005 110 cm ID cylinder tank, B4C Rods U(l0%)Oz(N03)Z HzO HzO andHN03 532

ILST-007-014 60 cm ID cylinder tank, 310 gUlL U(l0%)Oz(N03h HzO Bare 709iLST-007-030 60 cm ID cylinder tank, 290 gUlL U(l0%)Oz(N03)z HzO Bare 770iLST-007-032 60 cm ID cylinder tank, 270 g UIL U(1O%)Oz(N03)z HzO Bare 842iLST-007-036 60 cm ID cylinder tank, 254 gUlL U(l 0%)OzCN03)z HzO Bare 896iLST-007-049 60 cm ID cylinder tank, 242 gUlL U(10%)Oz(N03h HzO Bare 942

iLST-016-105 STACY 28 cm Slab, 464.4 gUlL U(l0%)Oz(N03h HzO Bare 469iLST-016-113 STACY 28 cm Slab, 429.9 g UIL U(l 0%)Oz(N03)Z HzO Bare 514iLST-016-125 STACY 28 cm Slab, 371.9 gUlL U(l0%)Oz(N03)Z HzO Bare 608iLST-016-129 STACY 28 cm Slab, 350.8 g UIL U(1O%)Oz(N03)z HzO Bare 650iLST-O 16-131 STACY 28 cm Slab, 328.9 g UIL U(1O%)Oz(N03)z HzO Bare 700iLST-016-140 STACY 28 cm Slab, 311.4 g UIL U(1O%)Oz(N03h HzO Bare 739iLST-016-196 STACY 28 cm Slab, 299.6 gUlL U(10%)Oz(N03h HzO Bare 772

LST-017-104 STACY 28 cm Slab, 464.2 g UIL U(l0%)Oz(N03)Z HzO Bare 469LST-017-122 STACY 28 cm Slab, 432.4 gUlL U(l0%)Oz(N03)Z HzO Bare 510LST-017-123 STACY 28 cm Slab, 369.7 g UIL U(l0%)Oz(N03)Z HzO Bare 611LST-017-126 STACY 28 cm Slab, 350.6 g UIL U(l0%)Oz(N03)Z HzO Bare 650iLST-017-130 STACY 28 cm Slab, 328.9 gUlL U(l0%)°zCN03h HzO Bare 700,...,ST-O 17-147 STACY 28 cm Slab, 315.3 gUlL U(l0%)Oz(N03h HzO Bare 729

Table 2-2 below contains a list of the cases run and some reported information for eachcase. The information was retrieved utilizing the DICE code that is included on the September2005 Edition ofthe Handbook DVD (NEAlNSC/DOC(95)03, 2005). The EALF, the volume ofmoderator to volume of fuel ratio (VmNr), the 239pU over uranium plus plutonium ratioe39pu /(U+Pu)] (not applicable in this validation and is replaced by the ratio Of 235U /U), themoderator over uranium plus plutonium ratio [H/(U+Pu), replaced by HP35U)], and the reportedbenchmark keff (kbench) and (Jbench) uncertainty are all included. More detailed information foreach case may be found in the benchmark handbook.

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Table 2-2. Case Name and Reported Information

Case Name EALF VmNr 235U/ U H/235U kbench Obench

ICT-002-001 9.13E-08 7. 15E+00 0.1700 N/A 1.0014 0.0039lCT-002-002 1.35E-07 7. 15E+00 0.1700 N/A 1.0019 0.0040lCT-002-003 9.96E-08 7.15E+00 0.1700 N/A 1.0017 0.0044lCT-002-004 1.06E-07 7.15E+00 0.1700 N/A 1.0019 0.0044lCT-002-005 9.92E-08 7.15E+00 0.1700 N/A 1.0014 0.0043lCT-002-006 1.05E-07 7.15E+00 0.1700 N/A 1.0016 0.0044LCT-002-001 1.30E-07 3.88E+00 0.0431 N/A 0.9997 0.0020LCT-002-002 1.30E-07 3.88E+00 0.0431 N/A 0.9997 0.0020LCT-002-003 1.30E-07 3.88E+00 0.0431 N/A 0.9997 0.0020LCT-002-004 1.28E-07 3.88E+00 0.0431 N/A 0.9997 0.0020LCT-002-005 1.27E-07 3.88E+00 0.0431 N/A 0.9997 0.0020LCT-004-001 3.51E-07 1.60E+00 0.0431 N/A 0.9998 0.0033LCT-004-002 3.52E-07 1.60E+00 0.0431 N/A 0.9998 0.0033LCT-004-003 3.51E-07 1.60E+00 0.0431 N/A 0.9998 0.0033LCT-004-004 3.53E-07 1.60E+00 0.0431 N/A 0.9998 0.0033LCT-004-005 2.36E-07 1.60E+00 0.0431 N/A 0.9998 0.0033LCT-004-006 2.82E-07 1.60E+00 0.0431 N/A 0.9998 0.0033LCT-004-007 2.43E-07 1.60E+00 0.0431 N/A 0.9998 0.0033LCT-004-008 2.90E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-009 3.34E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-010 3.26E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-011 2.52E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-012 2.71E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-013 2.83E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-014 2.81E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-015 2.81E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-016 2.82E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-017 2.84E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-018 2.89E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-019 2.91E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-004-020 2.67E-07 1.60E+00 0.0431 N/A 0.9998 0.0035LCT-009-001 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-002 1.29E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-003 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-004 1.29E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-005 1.31E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-006 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-007 1.31E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-008 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-009 1.31E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-010 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-011 1.29E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-012 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-013 1.29E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-014 1.31E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-015 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-016 1.31E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-017 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021

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Case Name EALF VmNr 235U/ U HJ235U kbench (Jbench

LCT-009-018 l.31E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-019 l.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-020 1.31E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-021 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-022 l.31E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-023 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-024 1.29E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-025 1.29E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-026 1.29E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-009-027 1.29E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-001 1.36E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-002 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-003 1.28E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-004 1.26E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-005 4.87E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-006 3.49E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-007 2.68E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-008 2.32E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-009 1.4lE-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-010 1.35E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-011 1.33E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-012 1.30E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-013 1.27E-07 3.88E+00 0.0431 N/A 1.0000 0.0021LCT-010-0 14 3.76E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-015 3.61E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-016 3.51E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-017 3.41E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-018 3.35E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-019 3.27E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-020 3.60E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-021 3.49E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-022 3.35E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-023 3.26E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-024 8.21E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-025 7.47E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-026 6.88E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-01O-027 6.41E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-028 5.96E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-029 5.57E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-010-030 4.75E-07 1.60E+00 0.0431 N/A 1.0000 0.0028LCT-026-001 2.80E-07 2.15E+00 0.0492 N/A 1.0000 0.0034LCT-026-002 4.74E-07 2. 15E+00 0.0492 N/A 0.9996 0.0034LCT-026-003 1.20E-06 1.22E+00 0.0492 N/A 1.0018 0.0062LCT-026-004 1.96E-06 1.22E+00 0.0492 N/A 0.9978 0.0062LCT-026-005 4.53E-07 8.97E-01 0.0492 N/A 1.0007 0.0041LCT-026-006 6.62E-07 8.97E-01 0.0492 N/A 0.9983 0.0041LCT-042-001 2.06E-07 1.60E+00 0.0235 N/A 1.0000 0.0016LCT-042-002 2. 14E-07 1.60E+00 0.0235 N/A 1.0000 0.0016LCT-042-003 2.23E-07 1.60E+00 0.0235 N/A 1.0000 0.0016LCT-042-004 2.21E-07 1.60E+00 0.0235 N/A 1.0000 0.0017

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Case Name EALF VmNr 23SU/ U HJ23SU kbench Gbench

LCT-042-005 2.17E-07 1.60E+00 0.0235 N/A 1.0000 0.0033LCT-042-006 2.06E-07 1.60E+00 0.0235 N/A 1.0000 0.0016LCT-042-007 2.IIE-07 1.60E+00 0.0235 N/A 1.0000 0.0018LCT-049-00 I 2.49E-06 2.0IE+00 0.0500 3.99E+OI 1.0000 0.0034LCT-049-002 2.5IE-06 2.0 IE+OO 0.0500 3.99E+OI 1.0000 0.0034LCT-049-003 2.67E-06 2.0IE+00 0.0500 3.99E+OI 1.0000 0.0034LCT-049-004 2.78E-06 2.0IE+00 0.0500 3.99E+OI 1.0000 0.0034LCT-049-005 1.40E-06 2.52E+00 0.0500 4.99E+OI 1.0000 0.0042LCT-049-006 1.42E-06 2.52E+00 0.0500 4.99E+OI 1.0000 0.0042LCT-049-007 1.36E-06 2.52E+00 0.0500 4.99E+OI 1.0000 0.0042LCT-049-008 1.46E-06 2.52E+00 0.0500 4.99E+OI 1.0000 0.0042LCT-049-009 8.99E-07 3.0IE+00 0.0500 5.97E+OI 1.0000 0.0037LCT-049-0 I0 9.05E-07 3.0IE+00 0.0500 5.97E+OI 1.0000 0.0037LCT-049-0 II 9.02E-07 3.0IE+00 0.0500 5.97E+OI 1.0000 0.0037LCT-049-012 9.54E-07 3.0IE+00 0.0500 5.97E+OI 1.0000 0.0037LCT-049-013 1.73E-06 3.0IE+00 0.0500 5.97E+OI 1.0000 0.0036LCT-049-014 1.74E-06 3.0 IE+OO 0.0500 5.97E+OI 1.0000 0.0036LCT-049-015 1.74E-06 3.0IE+00 0.0500 5.97E+OI 1.0000 0.0036LCT-049-016 1.35E-06 3.01E+00 0.0500 5.97E+OI 1.0000 0.0036LCT-049-017 1.45E-06 3.0IE+00 0.0500 5.97E+OI 1.0000 0.0036LCT-049-018 1.24E-06 3.0IE+00 0.0500 5.97E+OI 1.0000 0.0030LCT-052-00 I 5.23E-07 2.14E+00 0.0474 N/A 1.0003 0.0023LCT-052-002 1.90E-07 4.15E+00 0.0474 N/A 1.0003 0.0036LCT-052-003 9.46E-08 7.95E+00 0.0474 N/A 1.0003 0.0034LCT-052-004 5.25E-07 2.14E+00 0.0474 N/A 1.0003 0.0023LCT-052-005 1.91E-07 4.15E+00 0.0474 N/A 1.0003 0.0036LCT-052-006 9.59E-08 7.95E+00 0.0474 N/A 1.0003 0.0034LST-003-001 4.14E-08 7.85E+OI 0.1000 7.70E+02 0.9997 0.0039LST-003-002 3.95E-08 8.94E+OI 0.1000 8.78E+02 0.9993 0.0042LST-003-003 3.92E-08 9.14E+OI 0.1000 8.97E+02 0.9995 0.0042LST-003-004 3.90E-08 9.3IE+OI 0.1000 9.13E+02 0.9995 0.0042LST-003-005 3.63E-08 1.20E+02 0.1000 1.17E+03 0.9997 0.0048LST-003-006 3.60E-08 1.24E+02 0.1000 1.21E+03 0.9999 0.0049LST-003-007 3.58E-08 1.26E+02 0.1000 1.24E+03 0.9994 0.0049LST-003-008 3.47E-08 1.44E+02 0.1000 1.41E+03 0.9993 0.0052LST-003-009 3.46E-08 1.46E+02 0.1000 1.44E+03 0.9996 0.0052LST-004-001 4.2IE-08 O.OOE+OO 0.1000 7.19E+02 0.9994 0.0008LST-004-029 4.IOE-08 O.OOE+OO 0.1000 7.7IE+02 0.9999 0.0009LST-004-033 3.98E-08 O.OOE+OO 0.1000 8.42E+02 0.9999 0.0009LST-004-034 3.90E-08 O.OOE+OO 0.1000 8.96E+02 0.9999 0.0010LST-004-046 3.84E-08 O.OOE+OO 0.1000 9.42E+02 0.9999 0.0010LST-004-051 3.79E-08 O.OOE+OO 0.1000 9.83E+02 0.9994 0.0011LST-004-054 3.75E-08 O.OOE+OO 0.1000 1.02E+03 0.9996 0.0011LST-005-001 4.12E-08 5.55E+OI 0.0564 9.72E+02 1.0000 0.0042LST-005-002 4.12E-08 5.55E+OI 0.0564 9.72E+02 1.0000 0.0051LST-005-003 4.15E-08 5.55E+OI 0.0564 9.72E+02 1.0000 0.0064LST-006-00 I 4.86E-08 5.42E+OI 0.1000 5.32E+02 1.0000 0.0037LST-006-002 4.89E-08 5.42E+OI 0.1000 5.32E+02 1.0000 0.0038LST-006-003 4.93E-08 5.42E+OI 0.1000 5.32E+02 1.0000 0.0041LST-006-004 4.94E-08 5.42E+OI 0.1000 5.32E+02 1.0000 0.0041

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Case Name EALF VmNf23SU/U H/23SU kbench Gbench

LST-006-005 4.99E-08 5.42E+01 0.1000 5.32E+02 1.0000 0.0047LST-007-014 4.28E-08 7.15E+01 0.1000 7.09E+02 0.9961 0.0009LST-007-030 4.15E-08 7.76E+01 0.1000 7.70E+02 0.9973 0.0009LST-007-032 4.01£-08 8.49E+01 0.1000 8.42E+02 0.9985 0.0010LST-007-036 3.93E-08 9.04E+01 0.1000 8.96E+02 0.9988 0.0011LST-007-049 3.87E-08 9.50E+01 0.1000 9.42E+02 0.9983 0.0011LST-016-105 5.22E-08 4.73E+01 0.1000 4.69E+02 0.9996 0.0013LST-016-113 4.96E-08 5.18E+01 0.1000 5. 14E+02 0.9999 0.0013LST-016-125 4.57E-08 6.14E+01 0.1000 6.08E+02 0.9994 0.0014LST-016-129 4.44E-08 6.56E+01 0.1000 6.50E+02 0.9996 0.0014LST-016-131 4.31E-08 7.05E+01 0.1000 6.99E+02 0.9995 0.0014LST-016-140 4.22E-08 7.45E+01 0.1000 7.39E+02 0.9992 0.0015LST-016-196 4.15E-08 7.78E+01 0.1000 7.72E+02 0.9994 0.0015LST-017-104 5.23E-08 4.73E+01 0.1000 4.69E+02 0.9981 0.0013LST-017-122 4.99E-08 5.15E+01 0.1000 5.11E+02 0.9986 0.0013LST-017-123 4.57E-08 6.16E+01 0.1000 6.11E+02 0.9989 0.0014LST-017-126 4.45E-08 6.56E+01 0.1000 6.50E+02 0.9992 0.0014LST-017-130 4.31E-08 7.05E+01 0.1000 6.99E+02 0.9987 0.0015LST-017-147 4.24E-08 7.35E+01 0.1000 7.29E+02 0.9996 0.0015

2.3 CALCULATED MCNP RESULTS

Table 2-3 below contains a listing of all ofthe validation MCNP results. The table liststhe case name, the reported benchmark keffand one-sigma (lcr) statistical error (from Table 2-2),the calculated MCNP keff and 1cr statistical error, and the normalized keff and total statisticalerror. The keff normalization (knorm) was performed by dividing the calculated keff (kMcNP) by thereported benchmark keff (kbench). The statistical error or the uncertainty value (crtotal) assigned toeach case is a combination of the benchmark uncertainty for each experiment crbench and theMonte Carlo uncertainty associated with the particular computational evaluation of the case,crMCNP, or:

( 2 2)1/2crbench +crMCNP

Table 2-3. Case Name and MCNP Results

Case Name kbench Gbench k MCNP GMCNP k norm Glolal

ICT-002-001 1.0014 0.0039 0.9936 0.0007 0.9922 0.0040ICT-002-002 1.0019 0.0040 0.9975 0.0008 0.9956 0.0041ICT-002-003 1.0017 0.0044 0.9986 0.0007 0.9969 0.0045ICT-002-004 1.0019 0.0044 0.9933 0.0008 0.9914 0.0045ICT-002-005 1.0014 0.0043 0.9931 0.0007 0.9917 0.0044ICT-002-006 1.0016 0.0044 0.9875 0.0007 0.9859 0.0045LCT-002-001 0.9997 0.0020 0.9929 0.0020 0.9932 0.0028LCT-002-002 0.9997 0.0020 0.9947 0.0019 0.9950 0.0028LCT-002-003 0.9997 0.0020 0.9994' 0.0019 0.9997 0.0028LCT-002-004 0.9997 0.0020 0.9983 0.0020 0.9986 0.0028LCT-002-005 0.9997 0.0020 0.9942 0.0019 0.9945 0.0028

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Case Name kbench °bench k MCNP °MCNP k norm °total

LCT-004-001 0.9998 0.0033 0.9923 0.0018 0.9925 0.0038LCT-004-002 0.9998 0.0033 0.9890 0.0022 0.9892 0.0040LCT-004-003 0.9998 0.0033 0.9935 0.0021 0.9937 0.0039LCT-004-004 0.9998 0.0033 0.9898 0.0019 0.9900 0.0038LCT-004-005 0.9998 0.0033 0.9921 0.0019 0.9923 0.0038LCT-004-006 0.9998 0.0033 0.9870 0.0023 0.9872 0.0040LCT-004-007 0.9998 0.0033 0.9891 0.0021 0.9893 0.0039LCT-004-008 0.9998 0.0035 0.9852 0.0021 0.9853 0.0041LCT-004-009 0.9998 0.0035 0.9853 0.0018 0.9855 0.0040LCT-004-010 0.9998 0.0035 0.9969 0.0019 0.9971 0.0040LCT-004-011 0.9998 0.0035 0.9828 0.0020 0.9830 0.0040LCT-004-012 0.9998 0.0035 0.9745 0.0017 0.9746 0.0039LCT-004-013 0.9998 0.0035 0.9818 0.0020 0.9820 0.0040LCT-004-014 0.9998 0.0035 0.9879 0.0023 0.9881 0.0042LCT-004-015 0.9998 0.0035 0.9823 0.0019 0.9825 0.0040LCT-004-016 0.9998 0.0035 0.9867 0.0020 0.9869 0.0040LCT-004-017 0.9998 0.0035 0.9854 0.0020 0.9856 0.0040LCT-004-018 0.9998 0.0035 0.9818 0.0019 0.9820 0.0040LCT-004-019 0.9998 0.0035 0.9886 0.0019 0.9888 0.0040LCT-004-020 0.9998 0.0035 0.9838 0.0017 0.9839 0.0039LCT-009-001 1.0000 0.0021 0.9936 0.0017 0.9936 0.0027LCT-009-002 1.0000 0.0021 0.9954 0.0018 0.9954 0.0027LCT-009-003 1.0000 0.0021 0.9957 0.0018 0.9957 0.0027LCT-009-004 1.0000 0.0021 0.9950 0.0020 0.9950 0.0029LCT-009-005 1.0000 0.0021 0.9966 0.0019 0.9966 0.0028LCT-009-006 1.0000 0.0021 0.9939 0.0018 0.9939 0.0028LCT-009-007 1.0000 0.0021 0.9964 0.0017 0.9964 0.0027LCT-009-008 1.0000 0.0021 0.9930 0.0019 0.9930 0.0028LCT-009-009 1.0000 0.0021 0.9946 0.0018 0.9946 0.0028LCT-009-010 1.0000 0.0021 1.0006 0.0020 1.0006 0.0029LCT-009-011 1.0000 0.0021 0.9967 0.0017 0.9967 0.0027LCT-009-012 1.0000 0.0021 0.9966 0.0017 0.9966 0.0027LCT-009-013 1.0000 0.0021 1.0006 0.0016 1.0006 0.0027LCT-009-014 1.0000 0.0021 0.9956 0.0020 0.9956 0.0029LCT-009-015 1.0000 0.0021 0.9923 0.0017 0.9923 0.0027LCT-009-016 1.0000 0.0021 0.9932 0.0019 0.9932 0.0028LCT-009-017 1.0000 0.0021 1.0018 0.0020 1.0018 0.0029LCT-009-018 1.0000 0.0021 0.9958 0.0017 0.9958 0.0027LCT-009-019 1.0000 0.0021 0.9931 0.0018 0.9931 0.0028LCT-009-020 1.0000 0.0021 0.9968 0.0018 0.9968 0.0028LCT-009-021 1.0000 0.0021 0.9954 0.0019 0.9954 0.0028LCT-009-022 1.0000 0.0021 0.9994 0.0018 0.9994 0.0027LCT-009-023 1.0000 0.0021 0.9958 0.0018 0.9958 0.0028LCT-009-024 1.0000 0.0021 0.9945 0.0018 0.9945 0.0028LCT-009-025 1.0000 0.0021 0.9982 0.0017 0.9982 0.0027LCT-009-026 1.0000 0.0021 0.9894 0.0017 0.9894 0.0027LCT-009-027 1.0000 0.0021 0.9925 0.0019 0.9925 0.0028LCT-010-001 1.0000 0.0021 1.0059 0.0019 1.0059 0.0028LCT-010-002 1.0000 0.0021 1.0075 0.0017 1.0075 0.0027LCT-010-003 1.0000 0.0021 1.0017 0.0019 1.0017 0.0029

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Case Name kbench °bench k MCNP °MCNP k norm 010101

LCT-010-004 1.0000 0.0021 0.9918 0.0017 0.9918 0.0027LCT-010-005 1.0000 0.0021 0.9945 0.0019 0.9945 0.0029LCT-010-006 1.0000 0.0021 0.9966 0.0018 0.9966 0.0028LCT-010-007 1.0000 0.0021 0.9963 0.0017 0.9963 0.0027LCT-010-008 1.0000 0.0021 0.9946 0.0019 0.9946 0.0029LCT-010-009 1.0000 0.0021 0.9988 0.0018 0.9988 0.0027LCT-010-010 1.0000 0.0021 0.9987 0.0015 0.9987 0.0026LCT-OI0-0ll 1.0000 0.0021 0.9993 0.0019 0.9993 0.0028LCT-010-012 1.0000 0.0021 0.9978 0.0019 0.9978 0.0028LCT-010-013 1.0000 0.0021 0.9950 0.0018 0.9950 0.0028LCT-010-0 14 1.0000 0.0028 0.9966 0.0019 0.9966 0.0034LCT-010-0 15 1.0000 0.0028 0.9989 0.0017 0.9989 0.0033LCT-01O-016 1.0000 0.0028 1.0029 0.0018 1.0029 0.0033LCT-OI0-017 1.0000 0.0028 0.9960 0.0018 0.9960 0.0033LCT-010-0 18 1.0000 0.0028 0.9942 0.0020 0.9942 0.0034LCT-OI0-019 1.0000 0.0028 0.9963 0.0021 0.9963 0.0035LCT-010-020 1.0000 0.0028 1.0033 0.0019 1.0033 0.0034LCT-010-021 1.0000 0.0028 1.0056 0.0018 1.0056 0.0033LCT-010-022 1.0000 0.0028 1.0064 0.0018 1.0064 0.0033LCT-010-023 1.0000 0.0028 0.9978 0.0018 0.9978 0.0034LCT-010-024 1.0000 0.0028 0.9978 0.0017 0.9978 0.0033LCT-010-025 1.0000 0.0028 0.9978 0.0017 0.9978 0.0033LCT-010-026 1.0000 0.0028 1.0000 0.0017 1.0000 0.0033LCT-OI0-027 1.0000 0.0028 1.0015 0.0017 1.0015 0.0033LCT-010-028 1.0000 0.0028 0.9961 0.0019 0.9961 0.0034LCT-010-029 1.0000 0.0028 0.9990 0.0019 0.9990 0.0034LCT-OI0-030 1.0000 0.0028 0.9921 0.0018 0.9921 0.0033LCT-026-001 1.0000 0.0034 0.9990 0.0008 0.9990 0.0035LCT-026-002 0.9996 0.0034 1.0047 0.0008 1.0051 0.0035LCT-026-003 1.0018 0.0062 1.0005 0.0008 0.9987 0.0062LCT-026-004 0.9978 0.0062 1.0055 0.0008 1.0077 0.0062LCT-026-005 1.0007 0.0041 0.9991 0.0008 0.9984 0.0042LCT-026-006 0.9983 0.0041 1.0048 0.0008 1.0065 0.0042LCT-042-001 1.0000 0.0016 0.9969 0.0016 0.9969 0.0023LCT-042-002 1.0000 0.0016 0.9932 0.0016 0.9932 0.0023LCT-042-003 1.0000 0.0016 0.9968 0.0016 0.9968 0.0022LCT-042-004 1.0000 0.0017 0.9927 0.0017 0.9927 0.0024LCT-042-005 1.0000 0.0033 0.9957 0.0018 0.9957 0.0037LCT-042-006 1.0000 0.0016 0.9966 0.0017 0.9966 0.0023LCT-042-007 1.0000 0.0018 0.9942 0.0017 0.9942 0.0024LCT-049-001 1.0000 0.0034 0.9950 0.0006 0.9950 0.0035LCT-049-002 1.0000 0.0034 0.9947 0.0006 0.9947 0.0034LCT-049-003 1.0000 0.0034 0.9947 0.0006 0.9947 0.0035LCT-049-004 1.0000 0.0034 0.9948 0.0006 0.9948 0.0035LCT-049-005 1.0000 0.0042 0.9957 0.0006 0.9957 0.0042LCT-049-006 1.0000 0.0042 0.9961 0.0007 0.9961 0.0043LCT-049-007 1.0000 0.0042 0.9953 0.0006 0.9953 0.0042LCT-049-008 1.0000 0.0042 0.9930 0.0006 0.9930 0.0042LCT-049-009 1.0000 0.0037 0.9948 0.0006 0.9948 0.0038LCT-049-01O 1.0000 0.0037 0.9970 0.0007 0.9970 0.0038

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Case Name kbench (Jbench k MCNP (JMCNP k norm (Jtotal

LCT-049-011 1.0000 0.0037 0.9928 0.0007 0.9928 0.0038LCT-049-012 1.0000 0.0037 0.9940 0.0007 0.9940 0.0038LCT-049-013 1.0000 0.0036 0.9949 0.0006 0.9949 0.0037LCT-049-014 1.0000 0.0036 0.9939 0.0007 0.9939 0.0037LCT-049-015 1.0000 0.0036 0.9953 0.0007 0.9953 0.0037LCT-049-016 1.0000 0.0036 0.9948 0.0006 0.9948 0.0037LCT-049-017 1.0000 0.0036 0.9958 0.0006 0.9958 0.0036LCT-049-018 1.0000 0.0030 0.9958 0.0006 0.9958 0.0031LCT-052-001 1.0003 0.0023 0.9909 0.0006 0.9906 0.0024LCT-052-002 1.0003 0.0036 0.9933 0.0005 0.9930 0.0036LCT-052-003 1.0003 0.0034 0.9993 0.0005 0.9990 0.0034LCT-052-004 1.0003 0.0023 0.9953 0.0005 0.9950 0.0024LCT-052-005 1.0003 0.0036 0.9918 0.0005 0.9915 0.0036LCT-052-006 1.0003 0.0034 0.9890 0.0005 0.9887 0.0034LST-003-001 0.9997 0.0039 0.9949 0.0004 0.9952 0.0039LST-003-002 0.9993 0.0042 0.9938 0.0004 0.9945 0.0042LST-003-003 0.9995 0.0042 0.9980 0.0004 0.9985 0.0042LST-003-004 0.9995 0.0042 0.9921 0.0004 0.9926 0.0042LST-003-005 0.9997 0.0048 0.9957 0.0003 0.9960 0.0048LST-003-006 0.9999 0.0049 0.9970 0.0003 0.9971 0.0049LST-003-007 0.9994 0.0049 0.9946 0.0003 0.9952 0.0049LST-003-008 0.9993 0.0052 0.9984 0.0003 0.9991 0.0052LST-003-009 0.9996 0.0052 0.9967 0.0003 0.9971 0.0052LST-004-001 0.9994 0.0008 0.9984 0.0007 0.9990 0.0010LST-004-029 0.9999 0.0009 0.9983 0.0007 0.9984 0.0011LST-004-033 0.9999 0.0009 0.9973 0.0006 0.9974 0.0011LST-004-034 0.9999 0.0010 0.9998 0.0006 0.9999 0.0012LST-004-046 0.9999 0.0010 1.0001 0.0006 1.0002 0.0011LST-004-051 0.9994 0.0011 0.9994 0.0006 0.9999 0.0012LST-004-054 0.9996 0.0011 0.9991 0.0005 0.9995 0.0012LST-005-001 1.0000 0.0042 0.9958 0.0005 0.9958 0.0042LST-005-002 1.0000 0.0051 0.9965 0.0005 0.9965 0.0051LST-005-003 1.0000 0.0064 0.9972 0.0005 0.9972 0.0064LST-006-001 1.0000 0.0037 0.9986 0.0007 0.9986 0.0038LST-006-002 1.0000 0.0038 1.0038 0.0007 1.0038 0.0039LST-006-003 1.0000 0.0041 0.9965 0.0008 0.9965 0.0042LST-006-004 1.0000 0.0041 0.9987 0.0007 0.9987 0.0042LST-006-005 1.0000 0.0047 0.9995 0.0007 0.9995 0.0048LST-007-014 0.9961 0.0009 0.9927 0.0009 0.9966 0.0013LST-007-030 0.9973 0.0009 0.9967 0.0008 0.9994 0.0012LST-007-032 0.9985 0.0010 0.9953 0.0008 0.9968 0.0013LST-007-036 0.9988 0.0011 0.9976 0.0007 0.9988 0.0013LST-007-049 0.9983 0.0011 0.9957 0.0007 0.9974 0.0013LST-016-105 0.9996 0.0013 1.0034 0.0009 1.0038 0.0016LST-016-113 0.9999 0.0013 1.0048 0.0009 1.0049 0.0016LST-016-125 0.9994 0.0014 1.0010 0.0008 1.0016 0.0016LST-016-129 0.9996 0.0014 1.0020 0.0009 1.0024 0.0016LST-016-131 0.9995 0.0014 0.9996 0.0008 1.0001 0.0016LST-016-140 0.9992 0.0015 1.0014 0.0008 1.0022 0.0017LST-016-196 0.9994 0.0015 1.0011 0.0008 1.0017 0.0017

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Case Name kbench Obench k MCNP oMCNP k norm ototal

LST-017-104 0.9981 0.0013 1.0016 0.0009 1.0035 0.0016LST-017-122 0.9986 0.0013 1.0013 0.0009 1.0027 0.0016LST-017-123 0.9989 0.0014 0.9992 0.0009 1.0003 0.0017LST-017-126 0.9992 0.0014 0.9991 0.0008 0.9998 0.0016LST-017-130 0.9987 0.0015 1.0005 0.0008 1.0018 0.0017LST-017-147 0.9996 0.0015 1.0001 0.0007 1.0005 0.0017

3.0 STATISTICAL ANALYSIS

The Oak Ridge National Laboratory (ORNL) code USLSTATS (ORNL 1998) was usedto perform the statistical analysis of all case results. USLSTATS provides an automated meansof evaluating and combining the statistical error of the calculation, code biases and benchmarkuncertainties. The USLSTATS calculation uses the combined uncertainties and data to provide alinear trend and an overall uncertainty that would be inflated if simpler methods were used due tomulticolinearity of the data.

The derived USL is determined such that there is a high degree of confidence that acalculated result is sub-critical if its calculated ks plus calculational uncertainties (L~ks) lies at orbelow this limit, i.e.,

Two different methods are used to determine of a USL for a set of criticality benchmarkcalculations. The USLSTATS computer program uses these two methods [i.e., (1) confidenceband with administrative margin and (2) single-sided uniform-width closed-interval] to calculateUSLs based on a set of user-supplied keff values and corresponding values of a single associatedtrending parameter X [e.g., EALF, VrnNrratio, 235UIU ratio, and H/235U ratio], for a set ofcriticality benchmark calculations. USLSTATS performs a linear regression on the data to meetthe confidence of fit requested.

Only USL method 1 (confidence band with administrative margin) results are utilized forthis analysis. The recommended purpose of method 2 is to apply it in tandem with method 1 toverify that the administrative margin is conservative relative to a quantitative statistical estimate(see Figure 3-1). This application of method 2 may be especially important when a limitednumber of data points are used in the determination of benchmark kerr calculations or when thecalculated values have a large standard deviation. In these cases the statistical-based subcriticalmargin may indicate the need for a larger administration margin in method 1.

USLSTATS uses several user input parameters to establish an appropriate USL. The userguide (ORNL 1998) has recommended values for each of these parameters:

• P, proportion of population falling above the lower tolerance level (P = 0.995). Thisparameter is used only in the computation of the USL by method 2, and represents the

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proportion of the population of criticality experiments that will lie above the linerepresenting one tolerance level below the linear regression fit to keff.

• I-y, confidence of fit (1-y = 0.95). This represents the desired confidence level to beassigned the linear regression fit of keff values. It is also used in a i test for normality ofinput data.

• a, confidence on proportion P (a = 0.95). This parameter is a required input, but is notused by USL method 1

• ~ka, administrative margin used to ensure subcriticality (~ka = 0.05). This parameter isonly used by USL method 1. This value is also consistent with the administrative marginnormally used for criticality analyses with plutonium systems.

For this analysis each of the four parameters presented in Table 2-2 was used inconjunction with the normalized keff (knorm) and total uncertainty (O'total) from Table 2-3 todetermine the appropriate USL. The results of the USLSTATS analysis are presented in Table 31, which includes trending parameters, the USL equation for method 1, trending parameterrange, and the minimum keffvalues taken directly from the output files shown in Appendix D.

Table 3-1. USLSTATS Analysis Results

Trending USL Equation (Method 1) Trending Parameter USLat X=OParameter Ran2e intercept

EALF 0.9353 + (-4.4477E+02)*X 3.46E-08 <= X <= 2.78E-06 0.934Vrn/Yr 0.9348 + (3.7479E-05)*X (X < 126.06) 0.0000 <=X<= 146.48 0.935

0.9395 (X>= 126.06)235U/u 0.9338 + (2.7358E-02)*X 2.35E-02 <= X <= 0.17000 0.934HI(U+Pu) 0.9386 + (2.5141E-06)*X 39.943 <=X<= 1437.5 0.939

The keff data, including the USLSTATS equation results as a function of each of the fourtrending parameters is also presented in Figure 3-1. In the figures, the data points are the keffvalues. The upper line (long dashes) represents a linear regression fit to a set of calculationsbased on critical experiments kc(x). The middle line (doted) represents the lower confidencebend for a single additional calculation kc(x) - W. The width of this band W is determinedstatistically based on the existing data and a specific level of confidence, the greater the standarddeviation in the data or the larger the confidence desired, the larger the bandwidth will be. Theconfidence band accounts for uncertainties in the experiments, the calculational approach, andthe calculational data (e.g., cross sections). The value W is defined for a confidence level as

W = max{w(x)Ix-min, x-max},

where w(x) is a curvilinear function based on the pooled standard deviation ofthe linearregression fit and the standard deviation of each calculated keff value. Note that the magnitude ofw(x) is depended on the number of critical experiments included in the validation. Typically, Wis determined at a 95% confidence level.

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In Figure 3-1 below, the USL for the EALF trending parameter curve is shown to trenddownward slightly for higher EALFs with a few data points falling below the kc(x)-W curve, thelower confidence limit for calculated criticals. For the 167 data points used, about 8 points couldbe below the curve for the 95% confidence level used. The bottom line ofUSL (1) in Fig. 3-1represents the USL from method 1, which has a quantity ~ka (defined earlier) as an additionalmargin below the kc(x)-W line. The USL equation for the EALF gives a conservative uppersubcriticallimit of 0.934 when USL equation 1 in Table 3-1 is applied at the maximum trendingparameter range.

The moderator to fissile volume ratio is used as the second trending parameter for thebenchmark cases. The USL value is a minimum at the minimum parameter value. A positivebias adjustment line has been added to the line kc(x)-W at the point where kc(x) = 1 to preventtaking credit for a positive bias [P (x) > 0] by assuming kc(x) = 1 everywhere that kc(x) > 1. TheUSL equation for the moderator to fissile volume ratio gives a conservative upper subcriticallimit of 0.935 at the minimum parameter value.

The ratio of 239pU to the total heavy metal concentration is the third trending parameterfor the benchmark cases. However, this trending parameter has been replaced by the uraniumenrichments, which is shown to trend upward slightly for higher 235U IU ratios, but is essentiallya horizontal line with a few data points falling below the kc(x)-W curve, the lower confidencelimit for calculated criticals. For the 167 data points used, about 8 points could be below thecurve for the 95% confidence level used. Therefore, a conservative upper subcriticallimit of0.934 obtained from USL equation evaluated at x=O as shown in Table 3-1 would represent thelowest keff for this trending parameter from the 0.05 administrative margin line.

The ratio of the hydrogen concentration to the fissile concentration is used as the lasttrending parameter for the benchmark cases. Only the nitrate solution cases (60) as shown inTable 2-1 are included in the trending analysis while the heterogeneous cases are excluded eventhough moderator exists within the fuel rod bundles for those cases. None of the calculated keffvalues for the critical experiments falls below the uniform confidence band kc(x)-W curve, thelower confidence limit for calculated criticals. The USL value is a minimum at the minimumH/235U ratio. Extrapolating the USL equation for the H/235U = 0 gives a conservative USL of0.939 for this trending parameter.

A minimum USL among the results of four trending parameters of 0.934 occurs for boththe EALF and the enrichment trending parameters. It is recommended that this USL value beutilized. The method 2 curves in all four trendings verify that the administrative margin isconservative relative to a quantitative statistical estimate (Fig. 3-1).

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Figure 3-1. kerr Data and the USLSTATS Trending Results

MEU Benchmarks, EALF

•

- - - - - - '------------'

1.01 .'''- ·:ti··T 'T k-effval~s• •Yo .• ,

100i··:I~f~f.fl1i!_: -~fJ, -~- -- : ~:0.99:,.;.::":.', ..•...•. ..•. ..•. k(x)-W ._ .... _..

. [: _-: ~:: ~ ,..,.:,.-,,--, ,..,.: :-:-: ,..,. :~ ,..,. : _-:-~ : r-:-.-""" _I_

..•. .:i~""·· USL(1) - - ---0.98 .~

.t USL(2)It:Q)•~ 0.97

0.96

0.95

0.94 -

Trending Parameter, x (3.0e-08 - 3.0E-06)

MEU Benchmarks, VmNf

:1:::' "'-:':: ,~~~ Iue$.":"' !.:'":"' r..:~ .' ·h---·r-

-- ---~ -:" I k(x' .!~.f~· - -.!:.~-~. ~:• • ~ ..... II

k(x) - w(x) - - . - - -

1.00

IeCi) 0.98~ ~. _ __ . __ ___ _ __ . __ k(:t)-= \IV- . - -

0.96 U8L(1)

U8L(2)

0.94 -'------- -,-------'-------

0.0 50.0 100.0

Trending Parameter, x

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MEU Benchmarks, U-235/U

~_._----'--'--_._~-~-'--'---

k-effvalues •

k(x) ----- ..-----~-

k(x) - w(x) - - . - - -

1.01

1.00 ..

0.99

It: 0.98Q)•.:.::: 0.97

0.96

0.95

0.94

. ! -i "';"'~' + i~I ::-. i.-~----!

-~,1 I

I :;; '" ~!:I .....1.... 4' • ..

-k()().-\AI

U8L(1)

U8L(2)

0:,_••• -:-:.-: _.. II

0.05 0.10

Trending Parameter, x

MEU Benchmarks, h/x

0.15

It: 0.98Q)•

.:.:: 0.97

'!' ~::.:1, ..•. "j" " "' k.eff 'lij Iues •

1 00 . .. ....*. :, ''''-'4 :.~. "-'r':'~"--- _....::r: ::"--. '- - - - - - - ::l:-"·~· ...~., 1-',..,~)!. .... . t1+ ~-,..O99

. .,.- . _.. .'. -' .. ~~ -' '- •• - -. -- . ..~.

k(x) - W

U8L(1 )

U8L(2)

0.96

0.95

-----_.--0.94 t=...:....-=~=----=-_.~_-_._-_""=_.=-_-=-_.-_=- -'

Trending Parameter, x (35. 0-1440.0)

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4.0 DISCUSSION OF CODE AND CROSS SECTIONS USED

The code used for this validation is MCNP5 Version 1.40. This code is underconfiguration control. The earlier versions of MCNP have been used extensively for criticalityanalysis. MCNP is a Monte Carlo code using continuous energy cross sections.

Table B-1 in Appendix B lists the isotope cross sections used in this validation. Theseare the cross sections that the MCNP5 code uses when an extension (e.g., .62, .55c) is not addedto the end of the isotope identifier (e.g., 1001, 94239). No specific selection of cross sectionswas made because any ofthe cross section data set included with MCNP code by LANL areconsidered to be adequate. MCNP will select the first match of an isotope identifier (withoutextension) found in the directory file XSDIR. This default process has given a cross section setbased on ENDF/B-VI when available. It is expected that ENDF/B-VI has a larger number ofdata points and has corrected data when available. The cross section sets listed in Table B-1 arethe only ones validated for calculating kerr for intermediate enriched uranium by this validationanalysis. CSERs that use other cross sections need to address their validity and their affect onthe validated USL for the intermediate enriched uranium systems.

5.0 RECOMMENDED USL

Based on the data and discussion presented in Section 3 a single USL for the intermediateenriched uranium calculations with the MCNP5 Version 1.40 code of 0.934 is recommended.This conservatively utilizes the minimum USL calculated from all of the four independentparameters. To implement this USL the calculated kerr and the statistical uncertainty from futureanalysis are utilized in the following manner:

kerr = k ea1e + 1.645 crealc ~ USL

where:kerr = the determined k,k ea1e = the MCNP calculated kerr,1.645 = the number of standard deviations required to achieve 95% confidence in the

calculation for a one sided distribution,crealc = the MCNP calculated statistical uncertainty, andUSL = 0.934.

This USL assures that future analyses of intermediate enriched uranium systems will besafely subcritical if the MCNP calculated kerr and statistical uncertainty meets the above criteria.

This can also be implemented via a calculational bias. A USL of 0.934 implies a bias of0.016. This is implemented in the equation:

kcale = klimit + bias - 1.645 creale

where:k ea1e = the MCNP calculated kerr,

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klimit = 0.95,bias = 0.016,1.645 = the number of standard deviations required to achieve 95% confidence in the

calculation for a one sided distribution, and,crealc = the MCNP calculated statistical uncertainty.

When the MCNP calculated statistical uncertainty is < 0.001 this gives the recommendedkeff value of 0.932 for the lEU systems.

When the analyst is utilizing the above USL data, for a specific analysis, they will need todetermine that this evaluation is sufficient for their needs. Where applicable, they should discusswhether their specific application is adequately within the various ranges of applicability for thedifferent trending parameters and that isotopic cross sections validated in this analysis were used,and if not, the justification for their use. Or if outside some of the ranges, discuss why thisvalidation data and USL analysis is adequate.

6.0 REFERENCES

LA-UR-03-1987, 2005, MCNP - A General Monte Carlo N-Particle Transport Code, Version 51.40, Los Alamos National Laboratory, Los Alamos, New Mexico.

Lan, J. S., 2005, Requirements and Management Plan, Use ofMCNP Version 4C for SafetySignificant and Safety Class Applications at Fluor Hanford, HNF-26564, Rev. OA, FluorHanford, Inc., Richland, Washington.

NEA/NSC/DOC(95)03, 2005, International Handbook OfEvaluated Criticality SafetyBenchmark Experiments, Volume VI" Plutonium Systems, Nuclear Energy Agency,Paris, France.

ORNL, 1998, USLSTATS: A Utility to Calculate Upper Subcritical Limits for Criticality SafetyApplications, Oak Ridge National Laboratory, Oak Ridge, Tennessee.

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APPENDIX A - TECHNICAL PEER REVIEW

A-I

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This page is intentionally left blank

A-2

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Peer Review Comments

This validation report for Intermediate Enriched Uranium compounds was independently reviewedby E. M. Miller, a qualified Criticality Safety Specialist in the Criticality and Shielding group ofFluor Government Group. The reviewer concurs with the USL value determined in the report andoffers the following review in support of this conclusion.

The USLSTATS statistical program for analyzing criticality validation data assumes that the datapoints have a normal distribution. As part of the statistical program's analysis, the data is tested fornormality. The three of the four trending runs of the statistics program in this validation analysisfailed its crude test method. If the data does not have a normal distribution, the confidence bandcalculated by the program may not be as large as the statistics of the data would warrant. The datacould be tested for normality by more sophisticated methods to justify using the margins calculatedby the program. Instead, the visual and historical analyses of the data will be used to show that thelarge margin of safety in the USL value is adequate.

The average of the 167 data points is 0.996 as shown in Appendix D. The standard deviation is0.0062. The validation cases show that MCNP calculates the kelf accurately with a small deviation.

Looking at the margin between the USL(l) line (Confidence band for a single future calculation withadministrative margin) and the lower confidence interval (one-sided, uniform-width, lower 95.0confidence band for a single future calculation) in Figure 3-1, one can intuitively see that there is anadequate margin for the data points being analyzed. Further, since the k(x) -W(x) and k(x)-W curvesare parallel and the first is not noticeably parabolic in shape over the trending parameter's range, theconfidence band is not significantly dependent on the trending parameter. Without the margin beingdependent on the trending parameter and the average kelf being approximately 1.0, the variance of thekenS about its mean can be used to estimate a conservative confidence band.

Appendix D gives the pooled standard deviation (variance of the linear regression fit of thecalculated kelf values and the statistical variance of each calculated kelf value) to use. This valueneeds to be multiplied by a statistical distribution value that incorporates the number of experiments(167 data points), the expected confidence level (0.95 confidence that 99.5% of the data points areabove the lower tolerance interval), a one sided distribution, and the distribution of data points. TheStudent-T one sided distribution value specified in Appendix D by USLSTATS is 1.645. TheUSLSTATS program multiplies this number by a value of 1.0438 to give a multiplier of 1.72. As aconservatism, a multiplier of2.0 is used here.

All pooled standard deviations calculated for the trend cases were less than 0.0062. Using themultiplier of2.0 from above, the confidence band would be 0.012. Subtracting this from the averagekelfvalue of 0.996 gives a value of 0.984. Reducing this result by our administrative margin of 0.05gives 0.934. This agrees with the 0.934 minimum value for USL(l) in Table 3-1. Based on thisresult and the visual margin found in the Figures 3-1, this reviewer considers the USL value of 0.934to be adequately conservative for Intermediate Enriched Uranium compounds.

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CHPRC-00455, REV. 0

CHECKLIST FOR TECHNICAL PEER REVIEW

Document Reviewed· !.!HN!ll!.F~·3~0~6~16!!o'L.J.R~e:.!:v""".O!L'__~ _

Title: MCNPS Criticalitv Validation and Bias for Intermediate Enrjcb~d Uranium Systems

Author(s): !!..lJ.c..liS!.l..'!ofLa!!!.nL- _

Date: MAY 2007Scope of Review: E~'h-- ""-Cl:o- .....'t eWoe-er t Mc.lJ r ,.".. .,.

Yes No· .&M [ ] [ ] Referenced analyses appropriate..

l><1 [ ] [ ] Problem completely defined and all potential configurationsconsidered.

[ ] [ ] t><l Accident scenarios developed in a clear and logical manner.

t><! [ ] [ ] Necessary assumptions explicitly stated and supported.

t><1 [ ] Mathematical derivations checked including dimensionalconsistency of results

t><J [ J ] Models appropriate and used within range ofvalidity. or use outsiderange ofestablished validity justified.

l><J [ ] Hand calculations checked for errors. Spreadsheet results should betreated exactly the same as hand calculations.

[ ] [ ] t><] [ J J Limits/criteria/guidelines applied to analysis results are appropriate

and referenced. Limits/criteria/guidelines checked againstreferences.

f><J [ ] J Safety margins consistent with good engineering practices.

J><l [ ] [ J Formatconsistent with applicable guides or other standards.[ ] [ ] ~ •• Review calculations. comments, and/or notes are attached.

1><1 [ ] [ ) Document approved (for example. the reviewer affirms the technicalaccuracy ofthe document).

;l;;lE::....l.M~.M~il.Ull:=e.er....,l&oo:z:Lo.......<.WJb'Y-4~J_...tL1tl.u.._....lfhJlA.,~~II::·~_2.'3 t1d V 2CD7Technical Peer Reviewer (printed name and signature) Date

•••

All "no" responses must be explained below or on an additional sheet.Any calculations, comments, or notes generated as part ofthis review should be signed,.dated andattached to this checklist. The material should be labeled and recorded in such a manner as to beunderstandable to a technically qualified third party.

A-4

CHPRC-00455, REV. 0

Checklist For Technical Peer Review

Document Reviewed - HNF-30616, Rev. 0

Title: MCNP5 Criticality Validation and Bias for Intermediate Enriched Uranium Systems

Author: J. S. Lan

m k\1~re...\IbDate

]

]

Technical Peer Reviewer (printed name and signature)

Referenced analyses appropriate.Problem completely dermed and all potential configurations considered.Accident scenarios developed in a clear and logical manner.Necessary assumptions explicitly stated and supported.Computer codes and data files documented.Data used in calculations explicitly stated in document.

Data checked for consistency with original source information as applicable.Mathematical derivations checked including dimensional consistency ofresults.Models appropriate and used within range of validity, or use outside range ofestablished validity justified.Hand calculations checked for errors. Spreadsheet results should be treated exactlythe same as hand calculations.Software input correct and consistent with document reviewed.Software output consistent with input and with results reported in documentreviewed.

Limits/criteria/guidelines applied to analysis results are appropriate and referenced.Limits/criteria/guidelines checked against references.Safety margins consistent with good engineering practices.Conclusions consistent with analytical results and applicable limits.Results and conclusions address all points required in the problem statement.Format consistent with applicable guides or other standards.

•• Review calcuhltions, comments, and/or notes are attached.Document approved (for example, the reviewer affmns the technical accuracy ofthe document).

SRGedeon~

Date: August 2006Reviewed: MEV CalculationsNo· NA

~~[ ][ ]

~[ ]

[

[

[

[

[

[

[

[ ] [

~ %[V J [

] [] [

] [[ ] [

{;8[~~0~V]

~~

• All "no" responses must be explained below or on an additional sheet.

•• Any calculations, comments, or notes generated as part ofthis review should be signed, dated and attached tothis checklist. The material should be labeled and recorded in such a manner as to be understandable to atechnically qualified third party.

A-5

CHPRC-00455, REV. 0


A-6

CHPRC-00455, REV. 0

APPENDIX B - TABLE OF CROSS-SECTIONS UTILIZED

B-1

_._-----_._------- - _.._-------

CHPRC-00455, REV. 0


B-2

CHPRC-00455, REV. 0

Table B-1. MCNP Cross Section ID's Used in This Analysis

Z Isotope MCNPID1 H Hydrogen 1001.62c5 B Boron 5010.66c

5011.66c6 C Carbon 6000.66c7 N Nitrogen 7014.62c8 0 Oxygen 8016.62c

12 Mg Magnesium 12000.62c13 Al Aluminum 13027.62c14 Si Silicon 14000.60c15 P Phosphorus 15031.66c16 S Sulfur 16000.62c

16032.62c20 Ca Calcium 20000.62c

Z Isotope MCNPID22 Ti Titanium 22000.62c24 Cr Chromium 24000.50c25 Mn Manganese 25055.62c26 Fe Iron 26000.55c28 Ni Nickel 28000.50c29 Cu Copper 29000.50c40 Zr Zirconium 40000.66c41 Nb Niobium 41093.66c42 Mo Molybdenum 42000.66c64 Gd Gadolinium 64152.66c

64154.66c64155.66c64 I56.66c

Z Isotope MCNPID64157.66c64158.66c64160.66c

67 Ho Holmium 67165.66c72 Hf Hofnium 72000.60c82 Pb Lead 82000.50c92 U Uranium 92234.69c

92235.69c92236.69c92238.69c

Notes: MCNP IDs that end in .50c or .55c utilize ENDF/B-V cross sections. MCNP IDs that end in .60c, .62c,.66c utilize ENDF/B-VI cross sections. MCNP IDs that end in .69c utilize ENDF/B-VII cross-sections.

B-3

CHPRC-00455, REV. 0


B-4

CHPRC-00455, REV. 0

APPENDIX C - MCNP INPUT FILES

C-l

----------------- ---------- ----------~~-------

CHPRC-00455, REV. 0


C-2

CHPRC-00455, REV. 0

IEU-COMP-THERM-002-001.inp***************************************************

***************************************************

******

fill=100c water betweencore and envelope cylinder

2 3 1.000430E-01 4 -6 5 -3 imp:n=lcenvelope cylinder

3 2 8.699752E-02 6 -7 2 -3 imp:n=lcoutside water

4 3 1. 000430E-01 7 -1 2 -3 imp:n=lcbottom water reflector

5 3 1.000430E-01 -8 2 -5 imp:n=lcsupport cylinder

6 2 8.699752E-02 8 -9 2 -5 imp:n=lc water between supportcylinder and envelope cylinder

7 3 1. 000430E-01 9 -6 2 -5 imp:n=lc emptytubes for the control rods

8 0 -111 122 -3 imp:n=l9 2 8.699752E-02 -101 121 -3 (111: -122)

imp:n=l10 0 -112 122 -3 imp:n=l11 2 8.699752E-02 -102 121 -3 (112: -122)

imp:n=l12 0 -113 122 -3 imp:n=l13 2 8.699752E-02 -103 121 -3 (113: -122)

imp:n=l14 0 -114 122 -3 imp:n=l15 2 8.699752E-02 -104 121 -3 (114: -122)

imp:n=lc

water between

401 -603 imp:n=l

602 -401 imp:n=l

408 imp:n=l

cuniverse 1 - fuel rodccentral hole

1010 3 1.000430E-01 -301 402 -408 imp:n=lu=-lc1-st tube

1020 2 8.699752E-02 301 -302 402 -407 imp:n=lu=-lc1-st annular fuel element11030 3 1.000430E-01 302 -304 402 -403 imp:n=lu=-l21030 2 8.699752E-02 302 -304 403 -404 imp:n=lu=-l

1030 1 3.335478E-02 302 -303 404 -405 imp:n=lu=-l31030 2 8.699752E-02 302 -304 405 -406 imp:n=lu=-l41030 3 1.000430E-01 302 -304 406 -407 imp:n=lu=-lc2-nd tube

1040 2 8.699752E-02 303 -304 404 -405 imp:n=lu=-lcwater gap

1050 3 1.000430E-01 304 -305 402 -407 imp:n=lu=-lc3-rd tube

1060 2 8.699752E-02 305 -306 402 -407 imp:n=lu=-lc2-nd annular fuel element11070 3 1.000430E-01 306 -308 402 -403 imp:n=lu=-l21070 2 8.699752E-02 306 -308 403 -404 imp:n=lu=-l

1070 1 3.335478E-02 306 -307 404 -405 imp:n=lu=-l31070 2 8.699752E-02 306 -308 405 -406 imp:n=lu=-l41070 3 1.000430E-01 306 -308 406 -407 imp:n=lu=-l

cwater gap

1090 3 1.000430E-01 308 -309 402 -407 imp:n=lu=-lc5-th tube

1100 2 8.699752E-02 309 -310 402 -407 imp:n=lu=-lcbottom plug

1110 2 8.699752E-02 -310 401 -402 imp:n=lu=-lctop plug

1120 2 8.699752E-02 301 -310 407 -408 imp:n=lu=-l

c4-th tube

1080 2 8.699752E-02 307 -308 404 -405 imp:n=lu=-l

cwater outside of fuel rod

1130 3 1.000430E-01 310u=lcwater above fuel rod

1140 3 1.000430E-01u=lcfuel rod and support plate

1150 3 1.000430E-01 300u=lclower lattice plate

(102: -

lat=l u=100imp:n=l

imp:n=l

5 -3 (101:-121)

imp:n=l-205 206

4

222 2 2 2 4

222 2 2 2 2 4

2 2 1 1 1 122 4

2 2 1 1 1 1 122 4

2 2 1 1 1 1 112 2 4

222 113 1 122 2 4

2 2 111 1 1 122 4

2 2 1 1 1 1 122 4

22111122 4

2 2 2 2 2 2 2 4

222 2 2 2 4

-4(104:-121)

o -201 202 -203 204o -201 202 -203 204

u=100fill=-7:7 -7:7 0:0

******

IEU-COMP-THERM-002-001cc MATR 17%ccore

1 0121) (103: -121)

100c 100lat=2

5r

36r

7r

5r

3r

7r

3r

6r

4r

6r

36rc

4r

C-3

CHPRC-00455, REV. 0

1160 3 1.000430E-01 -502 -601 imp:n=lu=l

1170 2 8.699752E-02 502 -601 imp:n=lu=lcsupport plate

1180 3 1.000430E-01 -501 601 -602 #1500imp:n=l u=-l

1190 2 8.699752E-02 501 601 -602 imp:n=lu=lc

top end of fuel rod3 1.000430E-01 310

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

universe

-602

401

401

401

401

401 -603

603 -604

602 -603

603 -604

604

604

603 -604

506 -507

507 -508

cwater

308 3 1.000430E-01 504 -505 401u=3c2-nd tube

309 2 8.699752E-02 505 -506 401u=3cwater

310 3 1.000430E-01u=3c3-rd tube

311 2 8.699752E-02u=3cvoid gap

312 0 508 -509u=3c4-th tube

313 2 8.699752E-02 509 -510u=3cwater

314 3 1.000430E-01 510u=3cupper lattice plate

315 3 1.000430E-01 510 -511u=-3

316 2 8.699752E-02 511u=3cwater

317 3 1.000430E-01 510u=3cc4 - steel plates and water

401 2 8.699752E-02u=4

402 3 1.000430E-01u=4

403 2 8.699752E-02u=4

404 3 1.000430E-01u=4csuperce11

9999 0 1:-2:3 imp:n=O

water

imp:n=l

imp:n=l

imp:n=l

-601 imp:n=l

-601 imp:n=l

400 -401 imp:n=l

604 -408 imp:n=l

603 -604

603 -604

601 -602 imp:n=l

602 -603 imp:n=l

601 -602 imp:n=l

604

603 -604 imp:n=l

603 -604 imp:n=l

universe 2 - steel

-300

-502

-501

-502

310 -502

502

502

2 8.699752E-02

2 8.699752E-02

lattice plate3 1. 000430E-01


upper1200

u=-l1210

u=lcaround

1220u=lccone

1500 2 8.699752E-02u=-lccplates with holes and waterclower lattice plate

201 3 1.000430E-01u=2

202 2 8.699752E-02 502u=2csupport plate

203 3 1.000430E-01u=-2

204 2 8.699752E-02 501u=2cwater

205 3 1.000430E-01u=2cupper

206u=-2

207u=2cwater

208 3 1.000430E-01u=2

1.51.51.51.5

3.4-3.413.6

-13.6

envelope cylinder inner

envelope cylinder outer

bottom support plate lower

support cylinder inner

$ support cylinder outer

$ water reflector outer radius$ water reflector (envelope

level$ water reflector (envelope

level$ support/lattice plates

-13.7409364067113.74093640671

-3.9259818304893.925981830489

o

42

40.5

44

40

60-19lower106upper

41

101 c/z102 c/z103 c/z104 c/z

c

1 cz2 pz

cylinder)3 pz

cylinder)4 cz

radius5 pz

level6 cz

radius7 cz

radius8 cz

radius9 cz

radiusc

imp:n=l

imp:n=l

imp:n=l

-601

-601

universe 3 -

-511

-503 401

5112 8.699752E-02


water between supportand water-cooled channel

3 1.000430E-01 602 -401 imp:n=l

cccentral water-cooled channelclower

301u=3

302u=3

cplate

305u=3ccentral space

306 0u=3

csupport plate

303 3 1.000430E-01 -501 601 -602 imp:n=lu=-3

304 2 8.699752E-02 501 601 -602 imp:n=lu=3

c1-st tube

307 2 8.699752E-02u=3

503 -504 401 imp:n=l

c

111112113114

c/zc/zc/zc/z

-13.7409364067113.74093640671

-3.9259818304893.925981830489

3.4-3.413.6

-13.6

1.21.21.21.2

C-4

CHPRC-00455, REV. 0

cc 201 P 1.732050807569 1 0 6.8c 202 P 1.732050807569 1 0 -6.8c 203 py 3.4c 204 py -3.4c 205 P -1.732050807569 1 0 6.8c 206 P -1.732050807569 1 0 -6.8c

201 px 2.944486372867202 px -2.944486372867203 P -1 1.732050807569 0204 P -1 1.732050807569 0

4.0000000000014.3

1.6683E-051.8827E-039.0594E-032.2396E-02

-1 7 -8 u=l imp:n=l $ uo2 fuelu=l imp:n=l $ gap

-12 2 u=l imp:n=l $ clad-2 8 u=l imp:n=l $ rubber end

-2 -7 u=l imp:n=l $ rubber end

$ sides of clusters •••$ side of partial row and full

30.4792.541

-20.0625 $ bottom of water

-2.2225 $ bottom of fuel rod55.4 $ side of water reflector •••-30 $ side of water reflector60.48 $ side of water reflector •••-30 $ side of water reflector107.075 $ top of water-4.7625 $ bottom of acrylic support

.0001 $ closest edge of closest cluster1.27 1.27 .7075 $ clad outer surface12.699 $ edge of partial row· ••0.0001 $ close edge of cluster + partial

1.27 1.27 .6325 $ fuel cylinder1.27 1.27 .6415 $ clad inner surface0.0 $ fuel rod cell boundary2.54 $ fuel rod cell boundary0.0 $ fuel rod cell boundary2.54 $ fuel rod cell boundary0.0 $ bottom of fuel92.075 $ top of fuel94.2975 $ top of clad25.399 $ farthest edge of closest...

26000 5.9986E-0224000 1.5724E-0228000 8.5030E-0325055 1.0431E-0314000 8.5018E-0422000 4.7376E-04

6000 4.1748E-041001 6.6695E-028016 3.3348E-02lwtr.OIt

2000 1. 0 10 510pos=O 0 35.9 axs=O 0 1 rad=d1 ext=d2o 10103j 1

1500 1 50 160 50000x=d1 y=d2 z=d3 cel=d4

m2

m3

mt3kcode

sdefsilsi2

prdmpprint

cc M401 10X11 +5 CLUSTER OF U(4.31)02 RODS,2.54 CM PITCH1 1 .0699305232 0 -2 1 7 -83 3 .0597515984 4 .11734156plug (top)5 4 .11734156plug (bottom)6 2 .100059 12 u=l imp:n=l $ water7 0 -4 3 -6 5 imp:n=l lat=l u=2 fill=l $lattice of fuel rods8 0 -10 11 -20 21 -9 23 fill=2 imp:n=l $ rodcluster9 0 -13 11 -21 19 -9 23 imp:n=l fill=2 $partial row of fuel rods10 2 .100059 13 -10 -21 19 -9 23 imp:n=l $water of partial row11 5 .106563 19 -20 11 -10 -23 29 imp:n=lacrylic support plate12 2 .100059 (-11:10:20:-19:9:-29) -24 25 -26 27-28 30 imp:n=l $ water13 0 24:-25:26:-27:28:-30 imp:n=O

***************************************************

******LEU-COMP-THERM-002-001.inp***************************************************

******

1 c/z2 c/z3 px4 px5 py6 py7 pz8 pz9 pz10 pxcluster11 px12 c/z13 px19 pyrow20 py21 pycluster23 pz24 px25 px26 py27 py28 pz29 pzplate30 pz

LEU-COMP-THERM-002-001

kcodesdef

5.888972745734-5.888972745734

$ cone$ 1-st tube inner radius$ 1-st tube outer radius$ 2-nd tube inner radius$ 2-nd tube outer radius$ 3-rd tube inner radius$ 3-rd tube outer radius$ 4-th tube inner radius$ 4-th tube outer radius$ 5-th tube inner radius$ 5-th tube outer radius

upper surface of fuel top

$ lower cone plane$ lower surface of fuel rod

$ radius of hole in support

lower surface of fuel rod

$ lower surface of fuel top

inner radius of 1-st tube in

$ radius of hole in lattice

$ lower surface of fuel bottom

$ upper surface of fuel bottom

$ outer radius of 2-nd tube in

$ upper surface of fuel rod

$ upper surface of fuel rod

$ radius of hole for central

$ upper surface of bottom

$ inner radius of 4-th tube in

$ outer radius of 4-th tube in

$ outer radius of 1-st tube in

$ upper surface of top lattice

$ lower surface of top lattice

$ inner radius of 3-rd tube in

$ inner radius of 2-nd tube in

$ outer radius of 3-rd tube in

$ upper surface of support

2 0.25 11.171.21. 431. 46401.79681. 832.062.092.262.29

pz 3pz 4plugpz 4.3plugpz 5.7

922349223592238

8016

m1

121 pz122 pz

300 kz301 cz302 cz303 cz304 cz305 cz306 cz307 cz308 cz309 cz310 cz

c

c400401

bottom402

bottom403

plug404 pz 5.9

plug405 pz 65.9

plug406 pz 66.2

plug407 pz 68.6

top plug408 pz 68.9

top plugc

601 pz 1.5lattice plate

602 pz 3.5plate

603 pz 66.8plate

604 pz 68.8plate

501 cz 0.75plate

502 cz 2.35plate

503 cz 1. 05central channel

504 cz 1.1central channel







511 cz 2.53channelc

C-5

CHPRC-00455, REV. 0


LEU-COMP-THERM-004-001.inp***************************************************

***************************************************

******

5.8178e-24.7820e-41.2461e-2

6.2310e-56.6651e-42.5375e-5

plugs)1001

160328016

10.4 mg/liter Gd1001 6.6706e-2

64154 8.6825e-1064156 8.1528e-964158 9.8933e-9

MATERIALS FOR U(4.31)02 RODS

1500 1 50 160 50000x=d1 y=d2 z=d3 cel=d4o 23o 1o 36o 1

o 93o 1I 8v

m1 is U02 fuel92234 5.1835e-6 92235 1.0102e-392236 5.1395e-6 92238 2.2157e-2

8016 4.6753e-2m2 is water with

8016 3.3353e-264152 7.9656e-1164155 5.8946e-964157 6.2331e-964160 8.7064e-9Iwtr.01tm3 is 6061 Al (clad)13027 5.8433e-2 2400029000 6.3731e-5 1200025055 2.2115e-5 22000Zn replaced by Cu, below29000 3.0967e-5 14000 3.4607e-426000 1.0152e-4m4 is rubber (end

6000 4.3562e-220000 2.5660e-314000 9.6360e-5poly.OItm5 is acrylic (support plate)

1001 5.6642e-2 6000 3.5648e-28016 1.4273e-2

poly.OIt

20 py 35.9479 $ sides of clusters ...21 py 1.8921 $ side of partial row and fullcluster23 pz -2.2225 $ bottom of fuel rod24 px 52.704 $ side of water reflector25 px -30 $ side of water reflector26 py 65.948 $ side of water reflector •••27 py -30 $ side of water reflector28 pz 107.075 $ top of water29 pz -4.7625 $ bottom of acrylic supportplate30 pz -20.0625 $ bottom of water

mt5

mt2cm3

cm4

12 c/z .946 .946 .7075 $ clad outer surface13 px 18.919 $ edge of partial row'"19 py 0.0001 $ close edge of cluster + partialrow


******

c

***************************************************

******

cm2

mt4cm5

kcodesdefsilsp1si2sp2si3sp3si4sp4printccccm1

m401p THREE 15X8 CLUSTERS OF U(4.306)02 RODS, 2.540CM PITCH, 8.58 CM SEP1 1 .06993052 -1 7 -8 u=l imp:n=l $ uo2 fuel2 0 -2 1 7 -8 u=l imp:n=l $ gap3 3 .0597516 -12 2 u=l imp:n=l $ clad4 4 .1173416 -2 8 u=l imp:n=l $ rubber endplug (top)5 4 .1173416 -2 -7 u=l imp:n=l $ rubber endplug (bottom)6 2 .100013 12 u=l imp:n=l $ water7 0 -4 3 -6 5 imp:n=l lat=l u=2 fill=l $lattice of fuel rods8 0 -10 11 -20 19 -9 23 fill=2 imp:n=l $first rod cluster

6.2310e-56.6651e-42.5375e-5

6.6706e-2

5.8178e-24.7820e-41.2461e-2

1001

plugs)1001

160328016

-1 7 -8 u=l imp:n=l $ uo2 fuelu=l imp:n=l $ gap

-12 2 u=l imp:n=l $ clad-2 8 u=l imp:n=l $ rubber end

-2 -7 u=l imp:n=l $ rubber end

.0001 $ closest edge of closest cluster

.946 .946 .6325 $ fuel cylinder

.946 .946 .6415 $ clad inner surface0.0 $ fuel rod cell boundary1.892 $ fuel rod cell boundary0.0 $ fuel rod cell boundary1.892 $ fuel rod cell boundary0.0 $ bottom of fuel92.075 $ top of fuel94.2975 $ top of clad22.7039 $ farthest edge of closest


v

o 41o 1o 37o 1

o 93o 11 8

m1 is U02 fuel92234 5.1835e-6 92235 1.0102e-392236 5.1395e-6 92238 2.2157e-2

8016 4.6753e-2m2 is water

8016 3. 3353e-21wtr.01tm3 is 6061 Al (clad)13027 5.8433e-2 2400029000 6.3731e-5 1200025055 2.2115e-5 22000Zn replaced by Cu, below29000 3.0967e-5 14000 3.4607e-426000 1.0152e-4m4 is rubber (end

6000 4.3562e-220000 2.5660e-314000 9.6360e-5poly.OItm5 is acrylic (support plate)

1001 5.6642e-2 6000 3.5648e-28016 1.4273e-2

poly.01t

silsp1si2sp2si3sp3si4sp4printccccm1

cm2mt2cm3

c

cm4

mt4cm5

mt5

1 c/z2 c/z3 px4 px5 py6 py7 pz8 pz9 pz10 pxcluster11 px

cc M401 12X18 +10 CLUSTER OF U(4.31)02 RODS,1. 892 CM PITCH1 1 .0699305232 0 -2 1 7 -83 3 .0597515984 4 .11734156plug (top)5 4 .11734156plug (bottom)6 2 .1000590398 12 u=l imp:n=l $ water7 0 -4 3 -6 5 imp:n=l lat=l u=2 fill=llattice of fuel rods8 0 -10 11 -20 21 -9 23 fil1=2 imp:n=l $ rodcluster9 0 -13 11 -21 19 -9 23 imp:n=l fill=2 $partial row of fuel rods10 2 .1000590398 13 -10 -21 19 -9 23 imp:n=lwater of partial row11 5 .106563 19 -20 11 -10 -23 29 imp:n=l $acrylic support plate12 2 .1000590398 (-11:10:20:-19:9:-29) -24 25 -26 27 -28 30 imp:n=l $ water13 0 24:-25:26:-27:28:-30 imp:n=O

C-6

CHPRC-00455, REV. 0

9 0 -14 15 -20 19 -9 23 fill=2 (46.68 0 0) m3 13027 5.8433e-2 24000 6.2310e-5imp:n=l $ second rod cluster 29000 6.3731e-5 12000 6.6651e-410 0 -16 17 -20 19 -9 23 fill=2(93.36 0 0) 25055 2.2115e-5 22000 2.5375e-5imp:n=l $ third rod cluster c Zn replaced by Cu, below11 2 .100013 10 -15 -20 19 -9 23 #14 29000 3.0967e-5 14000 3.4607e-4imp:n=l $ water between clusters 26000 1.0152e-412 2 .100013 14 -17 -20 19 -9 23 #15 c m4 is rubber (end plugs)imp:n=l $ water between clusters m4 6000 4.3562-2 1001 5.8178e-213 5 .106563 19 -20 11 -16 -23 29 imp:n=l $ 20000 2.5660e-3 16032 4.7820e-4acrylic support plate 14000 9.6360e-5 8016 1.2461e-214 6 .08612853 43 -44 41 -42 7 -47 imp:n=l mt4 poly.01t$ SS plate c m5 is acrylic (support plate)15 6 .08612853 45 -46 41 -42 7 -47 imp:n=l m5 1001 5.6642e-2 6000 3.5648e-2$ SS plate 8016 1.4273e-216 2 .100013 (-11:16:20:-19:9:-29) -24 25 - mt5 poly.Olt26 27 -28 35 c m6 is SS plate

#14 #15 imp:n=l $ m6 24000 1.7046e-2 29000 2.0291e-4water 26000 5.8353e-2 25055 1.3734e-317 0 24:-25:26:-27:28:-35 imp:n=O 42000 1.2942e-4 28000 9.0238e-3

*********************************************************

1 c/z 1. 27 1. 27 .6325 $ fuel cylinder2 c/z 1. 27 1. 27 .6415 $ clad inner surface3 px 0.0 $ fuel rod cell boundary4 px 2.540 $ fuel rod cell boundary5 py 0.0 $ fuel rod cell boundary6 py 2.540 $ fuel rod cell boundary7 pz 0.0 $ bottom of fuel8 pz 92.075 $ top of fuel9 pz 94.2975 $ top of clad10 px 33.0199 $ farthest edge of first cluster•••

#14 #15


******

11 px .0001 $ closest edge of first cluster12 c/z 1.27 1.27 .7075 $ clad outer surface14 px 85.5349 $ farthest edge of secondcluster ***15 px 52.5151 $ closest edge of second cluster16 px 138.0499 $ farthest edge of third cluster

imp:n=l $ water17 0 24:-25:26:-27:28:-35 imp:n=O

17 px 105.0301 $ closest edge of third cluster

LEU-COMP-THERM-010-001cc pm1d41 THREE 13X8 CLUSTERS OF U(4.306)02RODS, 2.540 CM PITCH, 20.62 CM SEP1 1 .06993052 -1 7 -8 u=l imp:n=l $ uo2 fuel2 0 -2 1 7 -8 u=l imp:n=l $ gap3 3 .0597516 -12 2 u=l imp:n=l $ clad4 4 .1173416 -2 8 u=l imp:n=l $ rubber endplug (top)5 4 .1173416 -2 -7 u=l imp:n=l $ rubber endplug (bottom)6 2 .100059 12 u=l imp:n=l $ water7 0 -4 3 -6 5 imp:n=l lat=l u=2 fill=l $lattice of fuel rods8 0 -10 11 -20 19 -9 23 fi11=2 imp:n=l $first rod cluster9 0 -14 15 -20 19 -9 23 fill=2(52.515 0 0)imp:n=l $ second rod cluster10 0 -16 17 -20 19 -9 23 fi11=2(105.03 0)imp:n=l $ third rod cluster11 2 .100059 10 -15 -20 19 -9 23 imp:n=l $water between clusters12 2 .100059 14 -17 -20 19 -9 23 imp:n=l $water between clusters13 5 .106563 19 -20 11 -16 -23 29 imp:n=lacrylic support plate14 6 .032132 33 -34 31 -37 35 -36 imp:n=l$ lead reflector15 6 .032132 33 -34 38 -32 35 -36 imp:n=l$ lead reflector16 2 .100059 (-11:16:20:-19:9:-29) -24 25 -26 27 -28 35

...

1.0102e-32.2157e-2

1001 6.6675e-2

$ closest edge of third cluster$ sides of clusters$ sides of clusters •••$ bottom of fuel rod

$ side of water reflector

-30.5 $ side of water reflector50.820 $ side of water reflector •••-30.5 $ side of water reflector107.075 $ top of water-4.7625 $ bottom of acrylic support

93.36010.0000120.31999-2.2225161. 96

46.6801 $ closest edge of second cluster131.4599 $ farthest edge of third cluster

pxpypypzpx

m1 is U02 fuel92234 5.1835e-6 9223592236 5.1395e-6 92238

8016 4.6753e-2m2 is water

8016 3.3338e-2Iwtr.01tm3 is 6061 Al (clad)

pz -20.0625 $ bottom of waterpy -7.64 $ SS platepy 27.96 $ SS platepx 45.95 $ SS platepx 46.435 $ SS platepx 85.025 $ SS platepx 85.51 $ SS platepz 91. 5 $ SS plate

1500 1 50 160 50000x=d1 y=d2 z=d3 cel=d40 138o 1o 31o 10 930 1I 8 9 10v


1 c/z 1. 27 1. 27 .6325 $ fuel cylinder2 c/z 1.27 1. 27 .6415 $ clad inner surface3 px 0.0 $ fuel rod cell boundary4 px 2.540 $ fuel rod cell boundary5 py 0.0 $ fuel rod cell boundary6 py 2.540 $ fuel rod cell boundary7 pz 0.0 $ bottom of fuel8 pz 92.075 $ top of fuel9 pz 94.2975 $ top of clad10 px 38.0999 $ farthest edge of first cluster•••

1719202324

cm2mt2c

11 px .0001 $ closest edge of first cluster12 c/z 1.27 1.27 .7075 $ clad outer surface14 px 84.7799 $ farthest edge of secondcluster15 px16 px

...25 px26 py27 py28 pz29 pzplate3541424344454647

...


C-7

CHPRC-00455, REV. 0

******

2 45r

fill=-15:15 -15:15 0:0

***************************************************

-300 402 -403 imp:n=l

300 -301 402 -403 imp:n=l

301 -302 402 -403 imp:n=l

the fuel pin-302 403 -404 imp:n=l

2 45rc fuel rods support plate

4 4 8.699752E-02 -9 4 -5 imp:n=lc supplementary upper plate

5 4 8.699752E-02 -9 7 -8 imp:n=lcc central hole

101 0u=-lc fuel pin

102 1 6.933049E-02u=-lc void gap

103 0u=-lc void space above

104 0u=-lc zirconium can

105 2 4.322519E-02 302 -303 402 -404 imp:n=lu=-lc bottom zirconium plug

106 2 4.322519E-02 -303 401 -402 imp:n=lu=-l

2 111 1 1 1 1 1 1 1 1 1222 14r

1 1 1 1 1 1 1 1 1 1 1 111 1 12 13r

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 2 12r... 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 2 llr

1 1 1 111 1 1 1 1 1 1 1 1 1111 1 2 lOr

1 1 1 111 1 1 1 1 1 111 1 1 1 11 9r

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 2 8r

1 1 1 1 1 1 1 1 111 1 1 1 1 1 1 1 11 1 1 2 7r

1 1 1 1 111 1 111 1 1 1 1 1 1111 1 1 1 2 6r

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 2 5r

1 111 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 2 4r

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 2 3r

1 1 1 1 1 1 111 1 1 1 1 1 1 1 1 1 1111 1 1 1 1 1 2 2r

1 1 1 1 1 1 1 111 1 1 1 1 1 1 1 1 1 1 1 11 1 112 2 1r

211 111 1 1 111 1 1 1 1 1 1 1 1 1 1 11 1 1 122 1r

2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1111 1 1 1 1 2 2r

1 1 1 111 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 2 3r

111 1 1 1 1 1 1 1 111 1 1 1 1 1 1 1 11 1 1 1 1 2 4r

11111 1 111 111 1 1 1 1 1 1 1 11 1 1 1 2 5r

1 1 1 1 1 111 1 1 1 1 1 1 1 1 1 1 1 11 1 1 2 6r

111 1 1 111 1 111 1 1 1 1 1 1 11 1 1 2 7r

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 2 8r

111 1 1 1 1 1 1 1 1 1 1 1 1 1111 1 1 2 9r

1 1 111 1 1 1 1 1 1 1 1 1 1 1 1 11 1 2 lOr

1 1 1 111 1 1 1 1 1 1 1 1 1 1 11 2 11r

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 2 12r

1 1 111 1 1 1 1 1 1 1 1 1 1 11 2 13r

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12 14r

2 2 1 1 111 1 1 1 1 1 112

imp:n=l

6.6706e-2

5.8178e-24.7820e-41.2461e-2

6.2310e-56.6651e-42.5375e-5

1001

plugs)1001

160328016

$ lead$ lead

$ lead$ lead$ lead$ lead$ lead$ lead

$ sides of clusters$ sides of clusters •••$ bottom of fuel rod

$ side of water reflector

-10.2030.52

-12.975151.025

-20.0625103.3375

-0.020.32

0.0000120.31999-2.2225181. 525

-43.475 $ side of water reflector50.820 $ side of water reflector-30.5 $ side of water reflector109.4975 $ top of water-4.7625 $ bottom of acrylic support

1.001130E-01 -201 202 -203 204 -205 206lat=2 u=2

pypypzpx


1500 1 50 160 50000x=d1 y=d2 z=d3 cel=d4o 138o 1o 31o 1o 93o 1I 8 9 10v

m1 is U02 fuel92234 5.1835e-6 92235 1.0102e-392236 5.1395e-6 92238 2.2157e-2

8016 4.6753e-2m2 is water

8016 3. 3353e-2Iwtr.Oltm3 is 6061 Al (clad)13027 5.8433e-2 2400029000 6.3731e-5 1200025055 2.2115e-5 22000Zn replaced by Cu, below29000 3.0967e-5 14000 3.4607e-426000 1.0152e-4m4 is rubber (end

6000 4.3562-220000 2.5660e-314000 9.6360e-5poly.Oltm5 is acrylic (support plate)

1001 5.6642e-2 6000 3.5648e-28016 1.4273e-2

poly.Oltm6 is lead82000 3.2132e-2

imp:n=lo -101 102 -103 104 -105 106 5 -6

19202324•••25 px26 py27 py28 pz29 pzplate31 py32 py33 px34 px35 pz36 pz37 py38 py

cm2mt2cm3


c

mt4cm5

cm4


mt5cm6

5: 6)2

fill=23 3

imp:n=l

LEU-COMP-THERM-026-001cc MATR 12.9 mm

1 3 1.001130E-01 -1 2 -3 (9:-4:5) (9:-7:8)(101:-102:103:-104:105:-106:-

C-8

CHPRC-00455, REV. 0

501 -502 imp:n=l

501 -502 imp:n=l

503 -504 imp:n=l

503 -504 imp:n=l

plateimp:n=l

m3

kcodesdefsilsi2

prdmpprint

107 2 4.322519E-02 305 -303 -401u= 1

108 3 1.001130E-01 -305 -401u= 1c upper zirconium plug

109 2 4.322519E-02 -303 404u= 1c lower lattice plate

110 4 8.699752E-02 304u= 1

111 3 1.001130E-01 303 -304u=-lc upper lattice plate

112 4 8.699752E-02 304u= 1

113 3 1.001130E-Ol 303 -304u=-lc water under the lower lattice

114 3 1.001130E-Ol 303 -501u= 1c water between the lattice plates

115 3 1.001130E-Ol 303 502 -503u= 1c water above the upper lattice plate

116 3 1.001130E-01 303 504u= 1cc supercell

9999 0 1:-2:3 imp:n=O

imp:n=l

imp:n=l

imp:n=l

imp:n=l

imp:n=l

m1 92234 4.5882E-0692235 1.1239E-0392238 2.1441E-02

8016 4.6761E-02c Cross Section in material 2 was changed from50c to 60c

m2 40000 4.2794E-0241093 4.2456E-0472000 6.6297E-06

1001 6.6742E-028016 3.3371E-02

mt3 lwtr.Oltm4 26000 5.9986E-02

24000 1.5724E-0228000 8.5030E-0325055 1.0431E-0314000 8.5018E-0422000 4.7376E-04

6000 4.1748E-042000 1.0 10 510pos=O 0 34.6 axs=O 0 1 rad=d1 ext=d2o 16.878230.23j 1

***************************************************

******

300 cz 0.0725 $ central hole radius301 cz 0.3765 $ fuel pin radius302 cz 0.3925 $ void gap radius303 cz 0.4575 $ zirconium clad radius304 cz 0.47 $ lattice plate hole radius305 cz 0.3 $ hole radius in the lower

zirconium plug

1 cz 60 $ water reflector outer radius2 pz -32.5 $ water reflector bottom level3 pz 96.3 $ water reflector upper level4 pz -2.5 $ support plate bottom level5 pz 0 $ support plate upper level6 pz 65.6 $ fuel rod length7 pz 65.7 $ supplementary plate bottom

level8 pz 66 supplementary plate upper

level9 cz 48.75 $ support/supplementary plate

outer radiusc

101 px 16.7102 px -16.7103 P 1 1.7320508076 0 33.4104 P 1 1.7320508076 0 -33.4105 P -1 1.7320508076 0 33.4106 P -1 1.7320508076 0 -33.4

c201 P 1.7320508076 1 0 1. 29202 P 1.7320508076 1 0 -1. 29203 py 0.645204 py -0.645205 P -1. 7320508076 1 0 1.29206 P -1.7320508076 1 0 -1. 29

c






******

$

$

$

$

0)

u=l imp:n=l $ top end plug

.106563 -23 29 -15 11 -20 21 imp:n=l $support plate.100059 -12 10 -20 21 -22 23 #11 imp:n=lbetween clusters.100059 -14 13 -20 21 -22 23 #12 imp:n=lbetween clusters.100059 (-11:15:20:-21:22:-29)

#11 #12 #13 #14 -24 25 -26 27 -28 30$ water24:-25:26:-27:28:-30 imp:n=O


1 c/z 0.842 0.842 .5588 $ fuel cylinder2 c/z 0.842 0.842 .635 $ clad cylinder3 px 0.0 $ fuel rod cell boundary4 px 1. 684 $ fuel rod cell boundary5 py 0.0 $ fuel rod cell boundary6 py 1.684 $ fuel rod cell boundary7 pz 0.0 $ bottom of fuel

imp:n=l19 0

cc ks1-m ONE 25X20, TWO 17x20,U(2.35)02 RODS,7.866CM SEP, PITCH 1.684 CM,SS1 1 .06170524 -1 7 -8 u=l imp:n=l $ uo2 fuel2 3 .0597516 1 -2 -9 u=l imp:n=l $ clad3 4 .06006075 -1 8 -9 u=l imp:n=l $ top endplug (lower piece)4 4 .06006075 -2(top piece)5 5 .06000711 -1 -7 u=l imp:n=l $ lower endplug6 2 .100059 2 u=l imp:n=l $ water7 0 -4 3 -6 5 imp:n=l lat=l u=2 fill=l $lattice of fuel rods8 0 -10 11 -20 21 -22 23 fill=2 imp:n=l $first rod cluster9 0 -13 12 -20 21 -22 23 fill=2(41.546imp:n=l $ second rod cluster10 0 -15 14 -20 21 -22 23 fill=2(91.512 0 0)imp:n=l $ third rod cluster11 7 .08612853 33 -34 31 -32 7 -37 imp:n=lSS plate12 7 .08612853 35 -36 31 -32 7 -37 imp:n=lSS plate13 8 .08512383 50 -51 52 -53 30 -56 imp:n=lSS wall14 8 .08512383 50 -51 54 -55 30 -56 imp:n=lSS wall15 6acrylic16 2$ water17 2$ water18 2

upper level of the upper

$ upper level of the lower

$ bottom level of the upper

$ fuel pin bottom level$ fuel pin upper level$ bottom level of the upper

$ hole upper level in the lower

$ bottom level of the lower

2.5plug

4.464.865.3plug

c401 pz

zirconium402 pz403 pz404 pz

zirconiumc

C-9

CHPRC-00455, REV. 0

imp:n=limp:n=l

14 -13 16 -15

u=9 lat=l fi11=0:7 -1:1 0:06 66 66 6 imp:n=lu=8 lat=l fill=0:7 -1:1 0:07 77 77 7 imp n=l70 -71 f 11=970 -71 f 11=8

-1 2 -3 4 23 -24

24 -25 6 -5 8 -7 (30:-31:32:-

#1 6 -5 8 -7 22 -24

(13: -14: 15: -16)

#9 10 -9 12 -11

#9 #10

41 -40 43 -42

-17 18 -19 206 6 6 6 6 66 6 6 6 6 66 6 6 6 6 6

-17 18 80 -81777 7 7 7777 7 7 7777 7 7 7

50 -51 61 -6050 -51 62 -63

MARACAS POLY REFLECTED U(5)02 POWDERmaracas simplified modelcellcard

0 -100 101 -102 103 104 -105 fi11=l imp:n=l

0 -100 101 -102 103 104 -105 fill=2 imp:n=l

32 like 31 but trcl (0 64.46 0) imp:n=l u=7like 31 but trcl (0 64.14 0) imp:n=l u=7

o

oo

o

m6 1001 5.6642e-2 6000 3.5648e-28016 1.4273e-2

mt6 poly.01tc m7 is SS platem7 24000 1.7046e-2 29000 2.0291e-4

26000 5.8353e-2 25055 1. 3734e-342000 1.2942e-4 28000 9.0238e-3

c m8 is steel wallm8 26000 8.1810e-2 6000 7.4686e-4 250551. 1e - 3

15031 6.0971e-6 16032 8.8332e-6 140003.6983e-4

28000 6.3552e-4 42000 2.4114e-4 240001.0896e-4

ccccc1 1 4.484306e-2imp:n=l u=l2 2 6.035686e-2imp:n=l u=l3 3 1.4396547e-133)



***************************************************

******

imp:n=l u=l8 5 5.3248e-5 (13:-14:15:-16)

******

imp:n=l u=l7 2 6.035686e-2 (9:-10:11:-12) -13 14 -15 16

imp:n=l u=l4 2 6.035686e-2 25 6 -5 8 -7imp:n=l u=l5 5 5.3248e-5 24 -25 -30 31 -32 33imp:n=l u=l6 5 5.3248e-5 -9 10 -11 12 (5:-6:7:-8:-22)

21

33 like 30 but trcl (0 0 20) imp:n=l u=10

imp:n=l u=lcc9 4 1.23646e-1imp:n=l u=210 5 5.3248e-5imp:n=l u=211 2 6.035686e-2imp:n=l u=212 5 5.3248e-5imp:n=l u=2c30u=531u=6cc32c20

2223c

Fixed!

$ Fixed!

6.2310e-56.6651e-42.5375e-5

1001 6.6706e-2

side of water reflector$ side of water reflector$ side of water reflector$ top of water

$ bottom of acrylic support plate$ bottom of water

91.44 $ top of fuel91.92 $ top of clad33.6799 $ farthest edge of closest

.0001 $ closest edge of closest cluster41.5461 closest edge of center cluster

px -30.5 $py 60.812py -30.5pz 106.44pz -3.81pz -19.11plates

py 0.056 $ plate bottompy 30.256 $ plate toppx 41.244 $ 1st platepx 41.546 $ 1st platepx 83.646 $ 2st platepx 83.948 $ 2st platepz 91.5 $ plate topreflecting wallpx -11.054 $ wall -leftpx 136.246 $ wall-rightpy -19.171 $ wall-lowerpy -1.321 $ wall-lowerpy 31.633 $ wall-upperpy 49.483 $ wall-upperpz 102.79 $ wall-top

1500 1 50 160 50000kcode 100 1 1 5 50000x=d1 y=d2 z=d3 cel=d4o 150o 1o 100o 1o 100o 11 8 9 10v

m1 is U02 fuel92234 2.8563e-6 92235 4.8785e-492236 3.5348e-6 92238 2.000ge-2

8016 4.1202e-2rn2 is water

8016 3.3353e-2lwtr. 01tm3 is 6061 Al (clad)13027 5.8433e-2 2400029000 6.3731e-5 1200025055 2.2115e-5 22000Zn replaced by Cu, below29000 3.0967e-5 14000 3.4607e-426000 1.0152e-4m4 is 1100 aluminum (top end plug)13027 5.9660e-2 29000 3.0705e-525055 7.3991e-6

Zn replaced by Cu, below29000 1.2433e-5 14000 2.3302e-426000 1.171ge-4m5 is 5052 aluminum (lower end plug)13027 5.8028e-2 24000 7.7888e-529000 1.2746e-5 12000 1.6663e-325055 1.4743e-5

Zn replaced by Cu, below29000 1.2387e-5 14000 1.2978e-426000 6.5265e-5m6 is acrylic (support plate)

**

8 pz9 pz10 pxcluster11 px12 px

13 px 83.6459 farthest edge of centercluster14 px 91.5121 closest edge of farthestcluster **15 px 125.1919 $ farthest end of clusters20 py 30.3119 $ sides of clusters21 py .0001 $ sides of clusters22 pz 96.52 $ top of fuel rod23 pz -1.27 $ bottom of fuel rod24 px 155.692 $ side of water reflectorFixed!252627282930c31323334353637c50515253545556

cm2mt2cm3

cm4

c

kcodecsdefsilsp1si2sp2si3sp3si4sp4printcm1

c

c

cm5

c

C-IO

CHPRC-00455, REV. 0

c

cc polyethylene = 1.23646e-1m4 1001 8.2431E-02

6012 4.1215E-02mt4 poly. Olt $ 300k

100 px 30.0101 px -30.0102 py 30.0103 py -30.0104 pz -1.0105 pz 21. 0

cc sdef cel=d1 erg=d2 x=d3 y=d4 z=d5c sil 1c 40:38(1 0 0) :33:1 40:38(2 0 0) :33:1 40:38(3 00) : 33: 1

$ transport neutrons

$ Al$ Mg$ Cu$ Fe$ Cr$ Mn$ Si$ Ti

$ 0$ N

5.3248e-51.1263e-54.1985e-5

n

Rubber Seal = 1.4396547e-11001 8.8660E-02 $ H8016 9.4815E-04 $ 06012 5.4065E-02 $ C7014 2.9332E-04 $ Npoly.Olt $ 300K

data cards

material cardsU02 powder H/U=2.0atomic density = 4.484306E-02

1001 1.4725E-028016 2.2801E-02

92234 3.4097E-0692235 3.6865E-0492236 2.8024E-0692238 6.9422E-03lwtr.01t $ 300K

AG3=6.035686e-213027 5.8086e-212000 1.971ge-329000 1.0261e-526000 1.0508e-424000 6.2704e-625055 1.008ge-414000 6.9652e-522000 6.8094e-6

air =

80167014

mt1ccm2

ccmodeonlyccccm1

ccm3

mt3

ccm5

60 py 30.7799961 py -30.77999c 62 py 33.680162 py 33.360163 py 94.9199c70 pz 0 . 071 pz 20.072 pz 40.073 pz 60.074 pz 80.076 pz 100.077 pz 120.078 pz 140.079 pz 160.080 py 53.8881 py 74.40

cm251 92235 1.0m252 92235 1.0m28 92238 1.0kcode 3000 1.0 60 560c kcode 100 1.0 20 120cksrc 61.0 25.78 78.0

61.0 38.68 78.0

34 like 31 but trcl (0 0 20) imp:n=l u=ll35 like 33 but trcl (0 64.14 20) imp:n=l u=1336 like 34 but trcl (0 64.14 20) imp:n=l u=14c38 0 -17 18 -19 20 u=12 lat=l fill=O: 7 -1:1 0:0

11 11 11 11 11 11 11 1111 10 10 10 10 10 10 1111 10 10 10 10 10 10 11 imp:n=l

39 0 -17 18 80 -81 u=15 lat=l fill=O: 7 -1:1 0:014 14 14 14 14 14 14 1414 13 13 13 13 13 13 1414 13 13 13 13 13 13 14 imp:n=l

40 50 -51 61 -60 71 -72 fill=12 imp:n=l41 50 -51 62 -63 71 -72 fill=15 imp:n=lc42 like 40 but trcl (0 0 20) imp:n=l43 like 41 but trcl (0 0 20) imp:n=lc44 like 42 but trcl (0 0 40) imp:n=l45 like 43 but trcl (0 0 40) imp:n=lc46 like 44 but trcl (0 0 60) imp:n=l47 like 45 but trcl (0 0 60) imp:n=lc48 like 46 but trcl (0 0 80) imp:n=l49 like 47 but trcl (0 0 80) imp:n=lc50 like 48 but trcl (0 0 100) imp:n=l51 like 49 but trcl (0 0 100) imp:n=lc52 like 22 but trcl (0 0 140) imp:n=l53 like 23 but trcl (0 0 140) imp:n=lc24 5 5.3248e-5 70 -79 60 -62 50 -51 imp:n=l25 0 #23 #24 #22 #40 #41 #42 #43

#44 #45 #46 #47 #48 #49 #50 #51#52 #53 imp:n=O

c surface cards (origin x=O.O y=O.O z=O.O)c cylinder

1 px 9.82 px -9.83 py 9.84 py -9.85 px 9.956 px -9.957 py 9.958 py -9.959 px 10.15

10 px -10.1511 py 10.1512 py -10.1513 px 10.2514 px -10.2515 py 10.2516 py -10.2517 px 10.2618 px -10.2619 py 10.2620 py -10.26c21 pz 0.022 pz 0.4423 pz 0.6924 pz 19.6025 pz 19.7026 pz 20.0c30 px 8.7731 px -8.7732 py 8.7733 py -8.77c40 px 10.0541 px -10.0542 py 10.0543 py -10.05c50 px -10.2599951 px 153.89999c

C-ll

CHPRC-00455, REV. 0

28 4 0.0869202 24 -25 (10: -11: 12: -13: 14: -15) -3031 -32 33 Stop grid outside rods29 0 (30: -31: 32: -33) 24 -25 -38 39 -40 41 $outside top grid plate30 0 25 -27 (10:-11:12:-13:14:-15) -38 39 -40 41$outside, above top grid31 0 -22:27:38:-39:40:-41 $ outside

imp:nm1 $

0.0869202Steel Pedestal5.8694E-021.6469E-028.1061E-031.7319E-031.6939E-031.1883E-046.1438E-05

cz 0.395cz 0.41cz 0.47px 0.675px -0.675P 1 1.732050807569 0 1.35P 1 1.732050807569 0 -1.35P -1 1.732050807569 0 1.35P -1 1.732050807569 0 -1.35py 23.96725py -23.96725P 1.732050807569 1 0 47.9345P 1.732050807569 1 0 -47.9345P 1.732050807569 -1 0 47.9345P 1.732050807569 -1 0 -47.9345pz 1.8pz 91.4 $ crit height (89.6) + 1.8pz 1.75 $ top of bottom gridpz 1.5 $ bot of bottom gridpz 0 $ top of pedestal support platepz -0.8 $ bottom of pedestal support platepz -20 $ bottom of soln, modelpz 91.8 $ top of fuelpz 98.25 $ bottom of top gridpz 98.5 $ top of top gridpz 98.7 $ bottom of top plugpz 100 $ top of top plug, modelpx 30 $ side of grid platepx -30 $ side of grid platepy 30 $ side of grid platepy -30 $ side of grid platepx 47.5 $ side of pedestal platepx -47.5 $ side of pedestal platepy 47.5 $ side of pedestal platepy -47.5 $ side of pedestal platepx 60 $ side of reflectorpx -60 $ side of reflectorpy 60 $ side of reflectorpy -60 $ side of reflector

1 29r 04.38%-Enriched Uranium Dioxide 0.06954637

8016 4.6391E-0292234 7.1318E-0692235 1.1104E-0392236 3.1838E-0592238 2.2006E-02

AGS aluminum alloy 0.060196713027 5.9569E-0212000 3.1442E-0414000 2.4894e-426000 6.4052e-5Zn not available

$ Water w Gd 0.1001031001 6.66997e-28016 3.33871e-27014 1.35177e-5

64152 4.59556E-0964154 5.00916E-0864155 3.40071E-0764156 4.70356E-0764157 3.59603E-0764158 5.70769E-0764160 5.02295E-07

lwtr.01tStainless

2600024000280002505514000

600015031

cm3

m2

mt3m4

1234567

89101112131415161718192021222324252627303132333435363738394041

c 40:38(4 0) : 33: 1 40:38(5 0) : 33: 1 40:38(6 00) :33: 1c 40:38(1 0) : 33: 1 40:38(2 1 0) : 33: 1 40:38(3 10) : 33: 1c 40:38(4 1 0) : 33: 1 40:38(5 1 0) : 33: 1 40:38(6 10) : 33: 1c sp1 1 11rcc sp2 -3cc si3 h -9.8 9.8c sp3 0 1cc si4 h -9.8 9.8c sp4 0 1cc si5 h 0.69 19.6c sp5 0 1ccprdmp j -100 1 3cprint -175

******LEU-COMP-THERM-052-001.inp***************************************************

******

LEU-COMP-THERM-052-001cc Case 1 of LCT52-4.38%-enriched U02 rods in Gdsolution, 1.35 cm pitch, hex1 1 0.06954637 -1 u=l $fuel2 0 1 -2 u=l3 2 0.0601967 2 -3 u=l $ clad4 3 0.100103 3 u=l $solution5 0 -4 5 -6 7 -8 9 lat=2 fill=l u=26 0 -10 11 -12 13 -14 15 16 -17 fill=27 6 8.85937E-02 -16 18 -10 11 -12 13 -14 15 botplugs in soln8 5 7.59337E-02 -18 19 -10 11 -12 13 -14 15 botplugs, soln in grid9 6 8.85937E-02 -19 20 -10 11 -12 13 -14 15 botplugs in soln below grid10 3 0.100103 -17 18 (10:-11:12:-13:14:-15) -38 39-40 41 $ soln outside rods11 4 0.0869202 (10:-11:12:-13:14:-15) -18 19 -30 31-32 33 $bot grid outside rods12 3 0.100103 -18 19 (30:-31:32:-33) -38 39 -40 41$ soln outside bot grid13 3 0.100103 (10:-11:12:-13:14:-15) -19 20 -38 39-40 41 $soln outside bot plugs14 4 0.0869202 -20 21 -34 35 -36 37 $ pedestalplate15 3 0.100103 -20 21 (34: -35: 36: -37) -38 39 -40 41$ soln outside pedestal plate16 3 0.100103 -21 22 -38 39 -40 41 $ soln belowpedestal17 1 0.06954637 -1 u=3 $fuel18 0 1 -2 u=319 2 0.0601967 2 -3 u=3 $ clad20 0 3 u=3 $ void outside each rod above solution21 0 -4 5 -6 7 -8 9 lat=2 fill=3 u=4 $ drylattice22 0 -10 11 -12 13 -14 15 17 -23 fill=4 $ dryfuel23 8 6.32643E-03 -10 11 -12 13 -14 15 23 -24 $clad, spring region24 9 4.99940E-02 -10 11 -12 13 -14 15 24 -25clad, spring grid region25 8 6.32643E-03 -10 11 -12 13 -14 15 25 -26clad, spring region26 7 2.64679E-02 -10 11 -12 13 -14 15 26 -27 topplug27 0 (10:-11:12:-13:14:-15) 17 -24 -38 39 -40 41$outside, between soln, top grid

***************************************************

C-12

,---~-----------------_._-

CHPRC-00455, REV. 0

***************************************************

******LEU-SOL-THERM-003-001.inp*****************************.*********************

******

LEU-SOL-THERM-003-001cc LEU-SOL-THERM-003. Case 1.

1 1 9.939529E-02 -1 -3 imp:n=l2 2 8.701954E-02 1 -2 imp:n=l

3 0 -1 3 imp:n=l7.59337E-02 4 0 2 imp:n=O

1 so 32.95372 so 33.10373 pz 16.4073

92234 6.7481E-792235 7.6403E-592238 6.7271E-4

7014 2.3185E-38016 3.7473E-21001 5.8854E-2

26000 5.9088E-224000 1.6532E-228000 8.1369E-325055 1.3039E-314000 1.3603E-322000 5.9844E-4lwtr.01t

2000 1.0 10 1510pos=O 0 0 rad=d1 cel=lo 32.963j 1

***************************************************

LEU-SOL-THERM-004-001.inp***************************************************

m1

m2

cc data cardscmode n $ transport neutronsonlycc material cardsc

cc surface cards (origin x=O.O y=O.O z=O.O)c cylinder

1 pz 0.02 pz 41.533 pz 150.04 pz 152.55 pz -2.06 pz 172.57 pz -32.0

10 cz 29.520 cz 29.830 cz 59.8

LEU-SOL-THERM-004-001cc file name=runOOl ; STACYc R001(water) ;U=310.1(g/lit) A=2.17(mol/lit)D=1.4827(g/cc)c Water Reflector Thickness 30.0(cm)c Critical level 41.53(cm)

mt1kcodesdefsil

prdmpprint

cc cellcardc1 1 9.86477977E-02 1 -2 -10imp:n=l u=l2 4 4.94250000E-05 2 -3 -10

6.32643E-03 imp:n=l u=l3 2 8.68449842E-02 #1 #2imp:n=l u=l4 0 -4 5 -20imp:n=l u=2 fill=l5 3 9.99870000E-02 #4imp:n=l u=26 0 -6 7 -30imp:n=l fill=27 0 #6imp:n=O

+solution 8.85937E-021. 7180E-029.0679E-057.1795E-051. 8473E-053.2702E-093.5645E-082.4200E-073.3471E-072.5589E-074.0616E-073.5743E-079.6192E-064.7464E-022.3758E-02

available

4.4504E-05plug+grid+solution

2.6192E-021. 3825E-049.6046E-042.9515E-028.2740E-034.0724E-038.7010E-045.9697E-052.2358E-053.0866E-052.6618E-102.9014E-091. 9698E-082.7244E-082.0829E-083.3060E-082.9094E-087.8297E-073.8634E-031. 9338E-03

available

16032$Bottom

13027120001400026000240002800025055

6000160321503164152641546415564156641576415864160

701410018016

Zn notlwtr.01t$Bottom Plug

1302712000140002600064152641546415564156641576415864160

701410018016

Zn not1wtr. 01t

$TOp plug 2.64679E-0213027 2.6192E-0212000 1.3825E-0414000 1.0946E-0426000 2.8163E-05

$Top clad in spring region13027 6.2605E-0312000 3.3045E-0514000 2.6163E-0526000 6.7316E-06Zn not available

$Top clad, grid 4.99940E-0213027 6.2605E-0312000 3.3045E-0514000 8.7717E-0426000 2.9494E-0224000 8.2740E-0328000 4.0724E-0325055 8.7010E-04

6000 5.9697E-0516032 2.2358E-0515031 3.0866E-05Zn not available

2500 1.0 50 850o 0 46.6

m5

cm9

cmt5m6

m8

cmt6cm7

ckcodeksrcprint

C-13

CHPRC-00455, REV. 0

;U=310.1(g!lit) A=2.17 (mol!lit)

LEU-SOL-THERM-005-001.inp***************************************************

***************************************************

******

8 0 -11 8 -10imp:n=l fill=100c

100 -401 402 -403 404 imp:n=l lat=l u=100fill=-6: 6 -6:6 0:0

118r

1 2 2 2 2 1 15r

2 2 2 2 2 2 2 14r

2 2 2 2 2 2 2 2 13r

2 2 2 2 2 2 2 2 2 12r

2 2 2 2 2 2 2 2 2 2 11r

1 2 2 2 2 2 2 2 2 2 1 11r

2 2 2 2 2 2 2 2 2 22r

2 2 2 2 2 2 2 2 2 13r

2 2 2 2 2 2 2 2 14r

2 2 2 2 2 2 2 15r

1 2 2 2 2 1 118rc

1000 3 8.701954E-02 -200imp:n=l u=l

1001 1 9.884795E-02 200 -201imp:n=l u=l

1002 0 201imp:n=l u=lc

2000 1 9.884795E-02 -300 -200imp:n~l u=2

2001 3 8.701954E-02 300 -200imp:n=l u=2

2003 1 9.884795E-02 200 -201imp:n=l u=2

2004 0 201imp:n~l u=2c

3000 3 8.701954E-02 -302 -303imp:n=l u=3

3001 4 6.811600E-02 -302 303imp:n=l u=3

3002 3 8.701954E-02 302 -301imp:n=l u=3

3003 1 9.884795E-02 301 -300 -200imp:n=l u=3

3004 3 8.701954E-02 300 -200imp:n=l u=3

3005 1 9.884795E-02 301 200 -201imp:n=l u=3

3006 0 301 201imp:n=l u~3

$ C$ Si$ Mn$ P$ S$ Ni$ Cr$ Fe

; atomic density

c R001 (water)D=1. 4827 (g!cc)c atomic density = 9.86437864E-02m1 1001 5.6956E-02

7014 2.8778E-038016 3.8029E-02

92235 7.9213E-0592238 7.0556E-0492234 6.3833E-0792236 7.9114E-08lwtr.01t $ 300Kmt1

cc sus304 7.93g!cm38.68449842E-02m2 6012 4.3736e-5

14000 1.0627e-325055 1.1561e-315031 4.3170e-516000 2.9782e-628000 8.3403e-324000 1.6775e-226000 5.9421e-2

cc Water (STACY) 25Cc atomic density 9.9987E-02m3 1001 6.6658E-02

8016 3.3329E-02mt3 lwtr.01t $ 300kcc Air (0.001184 g!cm3)c atomic density 4.9425E-05m4 7014 3.9016e-5

8016 1.040ge-5cc criticality cardsckcode 5000 1.0 50 250sdef cel=d1 pos=O 0 0 axs=O 0 1 rad=d2 ext=d3erg~d4

csi1 1 6:4:1sp1 1csi2 h 0.0 29.50sp2 -21 1csi3 h 0.0 41.53sp3 -21 0csp4 -3cprdmp j -100 1 3cprint -175

LEU-SOL-THERM-005-001cc leu-sol-therm-005-01

1 0 4:-5:10imp:n=O

2 3 8.701954E-02 -4 5 -10 (3:-6)imp:n~l

3 2 1.001130E-01 -3 6 -9 (2:-7)imp:n=l

4 0 -3 2 9 -10imp:n~l

5 3 8.701954E-02 -2 7 -10 (1:-8)imp:n=l

~ 1 9.884795E-02 -1 11 8 -201imp:n=l

7 0 -1 11 201 -10imp:n=l

1 cz 55.2 cz 55.63 cz 99.24 cz 100.

c5 pz -38.56 pz -37.57 pz -1. 58 pz O.9 pz 108.

10 pz 248.5c

11 cz 54.8c

200 pz 1.7201 pz 58.9839

c300 cz 2.775301 cz 2.75302 cz 2.25

$ water level

$ solution level

C-14

CHPRC-00455, REV. 0

***************************************************

303 pz 0.7

LEU-SOL-THERM-006-001.inp***************************************************

******

m4

2 2 2 2 2 2 2 2 2 13r

2 2 2 2 2 2 2 2 14r

2 2 2 2 2 2 2 15r

1 2 2 2 2 1 118re

1000 3 8.701954E-02 -200imp:n=l u=l

1001 1 9.910035E-02 200 -201imp:n=l u=l

1002 0 201imp:n=l u=le

2000 1 9.910035E-02 -300 -200imp:n=l u=2

2001 3 8.701954E-02 300 -200imp:n=l u=2

2003 1 9.910035E-02 200 -201imp:n=l u=2

2004 0 201imp:n=l u=2e

3000 3 8.701954E-02 -302 -303imp:n=l u=3

3001 4 6.811600E-02 -302 303imp:n=l u=3

3002 3 8.701954E-02 302 -301imp:n=l u=3

3003 1 9.910035E-02 301 -300 -200imp:n=l u=3

3004 3 8.701954E-02 300 -200imp:n=l u=3

3005 1 9.910035E-02 301 200 -201imp:n=l u=3

3006 0 301 201imp:n=l u=3

9.179869280115-9.179869280115

92234 3.0893E-0792235 5.7830E-0592236 5.1050E-0792238 9.5450E-04

7014 2.9898E-038016 3.8624E-021001 5.6221E-028016 3.3371E-021001 6.6742E-02

26000 5.9088E-0224000 1.6532E-0228000 8.1369E-0325055 1.3039E-0314000 1.3603E-0322000 5.9844E-04

5010 1.0844E-025011 4.3649E-026012 1.3623E-02lwtr.01tlwtr.01t

1000 1.0 20 1020pos=O. O. 30. axs=O 0 1 rad=d1 ext=d2O. 55.30.3j 1

401 P 1.732050807569 -1 0402 P 1.732050807569 -1 0403 py 4.589934640058404 py -4.589934640058

e

m2

m1

m3

mt1mt2

keodesdefsilsi2

prdmpprint

LEU-SOL-THERM-006-001ee leu-sol-therm-006-01

1 0 4:-5:10imp:n=O

2 3 8.701954E-02 -4 5 -10 (3:-6)imp:n=l

3 2 1.001130E-01 -3 6 -9 (2:-7)imp:n=l

4 0 -3 2 9 -10imp:n=l

5 3 8.701954E-02 -2 7 -10 (1:-8)imp:n=l

6 1 9.910035E-02 -1 11 8 -201imp:n=l

7 0 -1 11 201 -10imp:n=l

8 0 -11 8 -10imp:n=l fill=100e

100 0 -401 402 -403 404 imp:n=l 1at=1 u=100fill=-6:6 -6:6 0:0

118r

1 2 222 1 15r

2222222 14r

22222222 13r

2 2 2 2 2 2 2 2 2 12r

2 2 2 2 2 2 2 2 2 2 11r

1 2 2 2 2 2 2 2 2 2 11r

2 2 2 2 2 222 2 22r

1 ez 55.2 ez 55.63 ez 99.24 ez 100.

e5 pz -38.56 pz -37.57 pz -1. 58 pz O.9 pz 108. $ water level

10 pz 248.5e

11 ez 54.8e

200 pz 1.7201 pz 23.4174 $ solution level

e300 ez 2.775301 ez 2.75302 ez 2.25303 pz 0.7

e401 p 1.732050807569 -1 0 9.179869280115402 P 1.732050807569 -1 0 -9.179869280115403 py 4.589934640058404 py -4.589934640058

m1 92234 9.5863E-0792235 1.0854E-0492238 9.5565E-04

7014 2.3712E-038016 3.7970E-021001 5.7694E-02

m2 8016 3.3371E-021001 6.6742E-02

m3 26000 5.9088E-0224000 1.6532E-0228000 8.1369E-0325055 1. 3039E-0314000 1. 3603E-0322000 5.9844E-04

C-15

CHPRC-00455, REV. 0

*********************************************************

LEU-SOL-THERM-007-014.inp***************************************************

******

LEU-SOL-THERM-007-014cc file name=run014 , STACY ( model 2 )c R014 (bare) ,U=313.0(g/lit) A=2.25 (mol/lit)D=I.4881(g/cc)c Critical level 46.83(cm)cc cellcardc ******

***************************************************

m3 7014 3.9016e-58016 1.040ge-5

cc criticality cardscc kcode 5000 1.0 50 250kcode 5000 1.0 50 200sdef cel=d1 pos=O 0 0 axs=O 0 1 rad=d2 ext=d3erg=d4csi1 I 4:1sp1 1csi2 h 0.0 29.50sp2 -21 1csi3 h 0.0 46.83sp3 -21 0csp4 -3cprdmp j -100 1 3cprint -175

5010 1.0844E-025011 4.3649E-026012 1.3623E-02Iwtr.01tIwtr.01t

1000 1.0 20 1020pos=O. O. 11.8 axs=O 0 1 rad=d1 ext=d2O. 55.11.83j 1

m4

mt1mt2

kcodesdefsilsi2

prdmpprint

cc Air (0.001184 g/cm3)c atomic density 4.9425E-05

1 1 9.85238254E-02 1 -2 -10imp:n=l u=l2 3 4.94250000E-05 2 -3 -10imp:n=l u=l3 2 8.68449842E-02 #1 #2imp:n=l u=l4 0 -4 5 -20imp:n=l fill=l5 0 #1 #2 #4imp:n=O

cc surface cards (origin x=O.O y=O.O z=O.O)c cylinder

1 pz 0.02 pz 46.833 pz 150.04 pz 152.55 pz -2.0

10 cz 29.520 cz 29.8

cc sus304 7.93g/cm38.68449842E-02m2 6012 4.3736e-5

14000 1.0627e-325055 1.1561e-315031 4.3170e-516000 2.9782e-628000 8.3403e-324000 1.6775e-226000 5.9421e-2

(origin x=O.O y=O.O z=O.O)

-67.067.0

-46.546.5

-32.0

-37.04537.045

-16.5716.57-2.04

152.63

pxpxpypypz

pxpxpypypzpzwater

surface cardsfuelpx -34.515px 34.515py -14.04py 14.04pz 0.0pz 149.75

Critical levelpz 40.09sus304

cc cellcardc1 1 9.81034711E-02 1 -2 3 -4 5 -7imp:n=l u=l2 4 4.94250000E-05 1 -2 3 -4 7 -6imp:n=l u=l3 2 8.66829700E-02 #1 #2imp:n=l u=l4 0 11 -12 13 -14 15 -16imp:n=l u=2 fill=l5 3 9.99870000E-02 #4imp:n=l u=26 0 21 -22 23 -24 25 -26imp:n=l fill=27 0 #6imp:n=O

LEU-SOL-THERM-016-105.inp***************************************************

LEU-SOL-THERM-016-105cc STACY 280t Core tank critical analysis.c R105(water) ;Hc=40.09cm U=311.2(g/lit)A=O. 94 (mol/lit)

ccc1

23456c7

cc111213141516cc2122232425

$ transport neutrons

$ C$ Si$ Mn$ p

$ S$ Ni$ Cr$ Fe

, atomic density

density 9.85238254E-025.6707E-022.9406E-033.8084E-026.4430E-077.9954E-057.9854E-087.1216E-04

$ 300K

n

data cards

100170148016

92234922359223692238Iwtr.01t

material cardsrun014atomic

mt1

cccmodeonlyccccm1

C-16

CHPRC-00455, REV. 0

***************************************************

******LEU-SOL-THERM-017-104.inp***************************************************

******

cc default energy bins; hansen-roach structureeO 1.0e-7 4.0e-7 1.0e-6 3.0e-6 1.0e-5 3.0e-51.0e-4 5.5e-4 3.0e-3

1.7e-2 0.1 0.4 0.9 1.4 3.0 20.0

cc water (STACY) 298.15 Kc atomic density 9.9987E-02m3 1001 6.6658E-02

8016 3.3329E-02mt3 1wtr.01t $ 300kcc air (0.001184 g/cm3)c atomic density 4.9425E-05m4 7014 3.9016E-05

8016 1.0409E-05

$ trans fort neutrons

-37.04537.045

-16.5716.57-2.04

152.63

pxpxpypypzpzwater

n

px -100.0px 100.0py -118.0py 282.0pz -35.0pz 205.4

px -101.0px 101.0py -119.0py 283.0pz -36.5

Base Platepz -16.0pz -19.0c/z 17.0 2.0 7.76py 17.0py -83.0px 50.0px -50.0

material cards

data cards

surface cards (origin x=O.O y=O.O z=O.O)fuelpx -34.515px 34.515py -14.04py 14.04pz 0.0pz 149.75

Critical levelpz 44.92sus304

LEU-SOL-THERM-017-104cc STACY 280t Core tank critical analysis.c R104(bare) ;Hc= 44.92cm U=315.5(g/lit)A=O. 96 (mol/lit)cc cellcardc1 1 9.81034711E-02 1 -2 3 -4 5 -7imp:n=l u=l2 4 4.94250000E-05 -2 3 -4 7 -6imp:n=l u=l3 2 8.66829700E-02 #1 #2imp:n=l u=l4 0 11 -12 13 -14 15 -16imp:n=l u=2 fill=l5 2 8.66829700E-02 (-43 44 -46 47 -48 49) 45imp:n=l u=26 4 4.94250000E-05 #4 #5imp:n=l u=27 0 21 -22 23 -24 25 -26imp:n=l u=3 fill=28 2 8.66829700E-02 #7imp:n=l u=39 0 31 -32 33 -34 35 -26imp:n=l fill=310 0 #9imp:n=O

ccc123456c7

cc111213141516cc212223242526c3132333435cc43444546474849c

cccmodeonlyccc

erg=d5

$ transfort neutrons

$ ave flux in cell 1

10

172.5

-3

6:4:11

x-coodinateh -34.5 34.5

o 1y-coodinateh -14.0 14.0

o 1z-coodinateh 0.0 40.09o 1

5000 1.0 50 200cel=d1 x=d2 y=d3 z=d4

pz

n

data cards

material cards

R105(watr) ;U=464.2/A=0.852/D=1.6462atomic density = 9.81034711E-02

1001 5.5582E-027014 2.8647E-038016 3.8481E-02

92234 9.5555E-0792235 1.1858E-0492236 1.1843E-0792238 1.0562E-03lwtr.01t $ 300k

criticality cards

tallies1

26

mt1

cccmodeonlycccccm1

ccf4:nccckcodesdef

cc sus304L(tank) 7.93g/cm3c atomic density 8.668297E-2m2 6012 7.1567E-05 $ C

14000 7.1415E-04 $ Si25055 9.9095E-04 $ Mn15031 5.0879E-05 $ P16000 1.0424E-05 $ S28000 8.5600E-03 $ Ni24000 1.6725E-02 $ Cr26000 5.9560E-02 $ Fe

csil 1sp1csi2sp2c -Jr**si3sp3c ***si4sp4csp5cprdmp j -100 1 3cprint -175c ctme

C-17

ave flux in cell 1ave flux in cell 1

CHPRC-00455, REV. 0

c R104(bare) ;U=464.2/A=0.852/D=1.6462c atomic density = 9.81034711E-02m1 1001 5.5582E-02

7014 2.8647E-038016 3.8481E-02

92234 9.5555E-0792235 1.1858E-0492236 1.1843E-0792238 1.0562E-03

mt1 lwtr.01t $ 300kcc sus304L(tank) 7.93g/cm3c atomic density 8.668297E-2m2 6012 7.1567E-05 $ C

14000 7.1415E-04 $ Si25055 9.9095E-04 $ Mn15031 5.0879E-05 $ P16000 1.0424E-05 $ S28000 8.5600E-03 $ Ni24000 1.6725E-02 $ Cr26000 5.9560E-02 $ Fe

cc water (STACY) 298.15 Kc atomic density 9.9987E-02m3 1001 6.6658E-02

8016 3.3329E-02mt3 lwtr.01t $ 300kcc air (0.001184 g/cm3)c atomic density 4.9425E-05m4 7014 3.9016E-05

8016 1. 0409E-05cc talliesf14:n 1fm14 (-1 1 -6 -7)sd14 1cf14 5cc criticality cardsckcode 5000 1.0 50 200c kcode 1000 1.0 20 820sdef ce1=d1 x=d2 y=d3 z=d4 erg=d5csi1 1sp1c ***si2sp2c ***si3sp3c ***si4sp4csp5cprdmpcprintdbcn

9:7:4:11

x-coodinateh -34.5 34.5o 1

y-coodinateh -14.0 14.0

o 1z-coodinateh 0.0 44.92

o 1

-3

j -100 1 3

-17549769521

C-18

CHPRC-00455, REV. 0

APPENDIX D - USLSTATS OUTPUTS

D-I

CHPRC-00455, REV. 0


D-2

CHPRC-00455, REV. 0

uslstats: a utility to calculate upper subcriticallimits for criticality safety applications

****************************************************************************version 1.4, April 23, 2003

Oak Ridge National Laboratory****************************************************************************

Input to statistical treatment from file:meu-ealf.inp

Title: MEV Benchmarks, EALF

Proportion of the populationConfidence of fitConfidence on proportionNumber of observationsMinimum value of closed bandMaximum value of closed bandAdministrative margin

.995

.950

.950167

0.000.000.05

independent

variable - x

9.l3000E-081. 35000E-079.96000E-081.06000E-079.92000E-081. 05000E-071. 30000E-071. 30000E-071.30000E-071. 28000E-071.27000E-073.51000E-073.52000E-073.51000E-073.53000E-072.36000E-072.82000E-072.43000E-072.90000E-073.34000E-073.26000E-072.52000E-072.71000E-072.83000E-072.81000E-072.81000E-072.82000E-072.84000E-072.89000E-072.91000E-072.67000E-071. 30000E-071.29000E-071. 30000E-071.29000E-071. 31000E-071. 30000E-071. 31000E-071. 30000E-071. 31000E-071.30000E-071.29000E-071.30000E-071. 29000E-071.31000E-071.30000E-071. 31000E-071.30000E-071. 31000E-071. 30000E-07

dependent

variable - y

9.92200E-019.95600E-019.96900E-019.91400E-019.91700E-019.85900E-019.93200E-019.95000E-019.99700E-019.98600E-019.94500E-019.92500E-019.89200E-019.93700E-019.90000E-019.92300E-019.87200E-019.89300E-019.85300E-019.85500E-019.97100E-019.83000E-019.74600E-019.82000E-019.88100E-019.82500E-019.86900E-019.85600E-019.82000E-019.88800E-019.83900E-019.93600E-019.95400E-019.95700E-019.95000E-019.96600E-019.93900E-019.96400E-019.93000E-019.94600E-011.00060E+009.96700E-019.96600E-011.00060E+009.95600E-019.92300E-019.93200E-011.00180E+009.95800E-019.93100E-01

deviation

in y

4.00000E-034.10000E-034.50000E-034.50000E-034.40000E-034.50000E-032.80000E-032.80000E-032.80000E-032.80000E-032.80000E-033.80000E-034.00000E-033.90000E-033.80000E-033.80000E-034.00000E-033.90000E-034.10000E-034.00000E-034.00000E-034.00000E-033.90000E-034.00000E-034.20000E-034.00000E-034.00000E-034.00000E-034.00000E-034.00000E-033.90000E-032.70000E-032.70000E-032.70000E-032.90000E-032.80000E-032.80000E-032.70000E-032.80000E-032.80000E-032.90000E-032.70000E-032.70000E-032.70000E-032.90000E-032.70000E-032.80000E-032.90000E-032.70000E-032.80000E-03

D-3

independent

variable - x

6.41000E-075.96000E-075.57000E-074.75000E-072.80000E-074.74000E-071. 20000E-061. 96000E-064.53000E-076.62000E-072.06000E-072.14000E-072.23000E-072.21000E-072.17000E-072.06000E-072.nOOOE-072.49000E-062.51000E-062.67000E-062.78000E-061.40000E-061.42000E-061.36000E-061.46000E-068.99000E-079.05000E-079.02000E-079.54000E-071. 73000E-061. 74000E-061. 74000E-061.35000E-061.45000E-061. 24000E-065.23000E-071.90000E-079.46000E-085.25000E-071.91000E-079.59000E-084.14000E-083.95000E-083.92000E-083.90000E-083.63000E-083.60000E-083.58000E-083.47000E-083.46000E-08

dependent

variable - y

1.00150E+009.96100E-019.99000E-019.92100E-019.99000E-011.00510E+009.98700E-011.00770E+009.98400E-011.00650E+009.96900E-019.93200E-019.96800E-019.92700E-019.95700E-019.96600E-019.94200E-019.95000E-019.94700E-019.94700E-019.94800E-019.95700E-019.96100E-019.95300E-019.93000E-019.94800E-019.97000E-019.92800E-019.94000E-019.94900E-019.93900E-019.95300E-019.94800E-019.95800E-019.95800E-019.90600E-019.93000E-019.·99000E-019.95000E-019.91500E-019.88700E-019.95200E-019.94500E-019.98500E-019.92600E-019.96000E-019.97100E-019.95200E-019.99100E-019.97100E-01

deviation

in y


CHPRC-00455, REV. 0

1. 31000E-071. 30000E-071.31000E-071.30000E-071.29000E-071.29000E-071. 29000E-071.29000E-071. 36000E-071.30000E-071.28000E-071.26000E-074.87000E-073.49000E-072.68000E-072.32000E-071. 41000E-071. 35000E-071.33000E-071. 30000E-071.27000E-073.76000E-073.61000E-073.51000E-073.41000E-073.35000E-073.27000E-073.60000E-073.49000E-073.35000E-073.26000E-078.21000E-077.47000E-076.88000E-07

chi ~ 17.8802

9.96800E-Ol9.95400E-Ol9.99400E-Ol9.95800E-Ol9.94500E-Ol9.98200E-Ol9.89400E-Ol9.92500E-Ol1.00590E+001.00750E+001. 00170E+009.91800E-Ol9.94500E-Ol9.96600E-Ol9.96300E-Ol9.94600E-Ol9.98800E-Ol9.98700E-Ol9.99300E-Ol9.97800E-Ol9.95000E-Ol9.96600E-Ol9.98900E-Ol1.00290E+009.96000E-Ol9.94200E-Ol9.96300E-Ol1.00330E+001.00560E+001.00640E+009.97800E-Ol9.97800E-Ol9.97800E-Ol1.00000E+00

(upper bound =

2.80000E-032.80000E-032.70000E-032.80000E-032.80000E-032.70000E-032.70000E-032.80000E-032.80000E-032.70000E-032.90000E-032.70000E-032.90000E-032.80000E-032.70000E-032.90000E-032.70000E-032.60000E-032.80000E-032.80000E-032.80000E-033.40000E-033.30000E-033.30000E-033.30000E-033.40000E-033.50000E-033.40000E-033.30000E-033.30000E-033.40000E-033.30000E-033.30000E-033.30000E-03

9.49). The data

4.21000E-084.10000E-083.98000E-083.90000E-083.84000E-083.79000E-083.75000E-084.12000E-084.12000E-084.15000E-084.86000E-084.89000E-084.93000E-084.94000E-084.99000E-084.28000E-084.15000E-084.01000E-083.93000E-083.87000E-085.22000E-084.96000E-084.57000E-084.44000E-084.31000E-084.22000E-084.15000E-085.23000E-084.99000E-084.57000E-084.45000E-084.31000E-084.24000E-08

tests NOT normal

9.99000E-Ol9.98400E-Ol9.97400E-Ol9.99900E-Ol1.00020E+009.99900E-Ol9.99500E-Ol9.95800E-Ol9.96500E-Ol9.97200E-Ol9.98600E-Ol1. 00380E+009.96500E-Ol9.98700E-Ol9.99500E-Ol9.96600E-Ol9.99400E-Ol9.96800E-Ol9.98800E-Ol9.97400E-Ol1.00380E+001.00490E+001.00160E+001.00240E+001.00010E+001.00220E+001. 00170E+001.00350E+001. 00270E+001.00030E+009.99800E-Ol1.00180E+001.00050E+00

1.00000E-031.10000E-031.10000E-031. 20000E-031.10000E-031.20000E-031. 20000E-034.20000E-035.10000E-036.40000E-033.80000E-033.90000E-034.20000E-034.20000E-034.80000E-031. 30000E-031.20000E-031.30000E-031.30000E-031.30000E-031. 60000E-031.60000E-031. 60000E-031.60000E-031.60000E-031.70000E-031.70000E-031. 60000E-031. 60000E-031.70000E-031. 60000E-031. 70000E-031.70000E-03

Output from statistical treatment

MEU Benchmarks, EALF

Number of data points (n)Linear regression, k(X)Confidence on fit (I-gamma) [input]Confidence on proportion (alpha) [input]proportion of population falling abovelower tolerance interval (rho) [input]Minimum value of XMaximum value of XAverage value of XAverage value of kMinimum value of kvariance of fit, S(k,X)A 2Within variance, S(W)A 2Pooled variance, S(p)A 2Pooled std. deviation, s(p)C(alpha,rho)*s(p)student-t @ (n-2,1-gamma)Confidence band width, WMinimum margin of subcriticality, C*s(p)-W

1670.9961 + (-4.4477E+02)*X

95.0%95.0%

99.5%3.4600E-082.7800E-063.6003E-07

0.995960.97460

2.7003E-051.1262E-053.8265E-056.1859E-032.8223E-021.64500E+001.0833E-021.7391E-02

Upper subcritical limits: ( 3.46000E-08 <= X <= 2.78000E-06)***** *********** *******

USL Method 1 (Confidence Band withAdministrative Margin) USLI

USL Method 2 (Single-Sided UniformWidth Closed Interval Approach) USL2

USLs Evaluated Over Range of Parameter X:**** ********* **** ***** ** ********* **

0.9353 + (-4.4477E+02)*X

0.9679 + (-4.4477E+02)*X

D-4

CHPRC-00455, REV. 0

X: 3.46E-8 4.27E-7 8.19E-7 1.21E-6 1.60E-6 2.00E-6 2.39E-6 2.78E-6

USL-1:USL-2:

0.93530.9679

0.93510.9677

0.93490.9675

0.93480.9674

0.93460.9672

0.93440.9670

0.93420.9668

0.93410.9667

****************************************************************************Thus spake USLSTATS

Finis.Plot file written to: meu-ealf.plt

D-5

CHPRC-00455, REV. 0


****************************************************************************Version l.4, April 23, 2003


Input to statistical treatment from file:meu-h_x-60.inp

Title: MEU Benchmarks, h/x


.995

.950

.95060

0.000.000.05

independent

variable - x

3.99430E+Ol3.99430E+Ol3.99430E+Ol3.99430E+Ol4.99471E+Ol4.9947lE+Ol4.9947lE+Ol4.9947lE+Ol5.96772E+Ol5.96772E+Ol5.96772E+Ol5.96772E+Ol5.96772E+Ol5.96772E+Ol5.96772E+Ol5.96772E+Ol5.96772E+Ol5.96772E+Ol7.703l0E+028.77596E+028.97006E+029.13248E+02l.l7338E+031. 213l0E+031. 23980E+03l.41164E+031.4375lE+037.l9000E+027.71000E+028.42000E+02

dependent

variable - y

9.95000E-Ol9.94700E-Ol9.94700E-Ol9.94800E-Ol9.95700E-Ol9.96l00E-Ol9.95300E-Ol9.93000E-Ol9.94800E-Ol9.97000E-Ol9.92800E-Ol9.94000E-Ol9.94900E-Ol9.93900E-Ol9.95300E-Ol9.94800E-Ol9.95800E-Ol9.95800E-Ol9.95200E-Ol9.94500E-Ol9.98500E-Ol9.92600E-Ol9.96000E-Ol9.97100E-Ol9.95200E-Ol9.99l00E-Ol9.97100E-Ol9.99000E-Ol9.98400E-Ol9.97400E-Ol

deviation

in y

3.50000E-033 AOOOOE-033.50000E-033.50000E-034.20000E-034.30000E-034.20000E-034.20000E-033.80000E-033.80000E-033.80000E-033.80000E-033.70000E-033.70000E-033.70000E-033.70000E-033.60000E-033.l0000E-033.90000E-034.20000E-034.20000E-034.20000E-034.80000E-034.90000E-034.90000E-035.20000E-035.20000E-031.00000E-03l.lOOOOE-03l.lOOOOE-03

independent

variable - x

8.96000E+029.42000E+029.83000E+02l.Ol800E+039.72l77E+029.72l77E+029.72l77E+025.3l546E+025.3l546E+025.3l546E+025.3l546E+025.3l546E+027.09245E+027.69975E+028.42l78E+028.96048E+029.42242E+024.68730E+025.l4l52E+026.08428E+026.502l4E+026.99l37E+027.38928E+027.71792E+024.68730E+025.l0846E+026.l0947E+026.50082E+026.99208E+027.28995E+02

dependent

variable - y

9.99900E-Oll.00020E+009.99900E-Ol9.99500E-Ol9.95800E-Ol9.96500E-Ol9.97200E-Ol9.98600E-Oll.00380E+009.96500E-Ol9.98700E-Ol9.99500E-Ol9.96600E-Ol9.99400E-Ol9.96800E-Ol9.98800E-Ol9.97400E-Ol1. 00380E+00l.00490E+00l.00l60E+001. 00240E+001. OOOlOE+OOl.00220E+001. 00l70E+00l.00350E+00l.00270E+00l.00030E+009.99800E-Ol1. 00l80E+00l.00050E+00

deviation

in y

1.20000E-031.l0000E- 03l.20000E-031. 20000E-034.20000E-035.l0000E-036 AOOOOE-03

3.80000E-033.90000E-034.20000E-034.20000E-034.80000E-031.30000E-03l.20000E-031.30000E-031.30000E-031.30000E-031. 60000E-031. 60000E-03l.60000E-031.60000E-03l.60000E-03l.70000E-03l.70000E-031. 60000E-031. 60000E-03l.70000E-03l.60000E-03l.70000E-03l.70000E-03

chi ~ 3.3333 (upper bound = 9.49). The data tests normal.


MEU Benchmarks, h/x

Number of data points (n)Linear regression, k(X)Confidence on fit (l-gamma) [input]Confidence on proportion (alpha) [input]Proportion of population falling abovelower tolerance interval (rho) [input]Minimum value of XMaximum value of XAverage value of XAverage value of kMinimum value of k

600.9964 + ( 2.514lE-06)*X

95.0%95.0%

99.5%3.9943E+Ol1.4375E+035.8l92E+02

0.997820.99260

D-6

CHPRC-00455, REV. 0

variance of fit, s(k,X)A 2Within variance, S(W)A 2Pooled variance, S(p)A 2Pooled std. deviation, s(p)C(alpha,rho)*s(p)student-t @ (n-2,1-gamma)Confidence band width, WMinimum margin of subcriticality, C*s(p)-W

8.4667E-061.1212E-051.9679E-054.4361E-031. 6700E-021.67230E+007.7543E-038.9460E-03

Upper subcritical limits:***** *********** *******

39.943 <= X <= 1437.5

USL Method 1 (Confidence Band withAdministrative Margin) USL1


USLs Evaluated Over Range of Parameter X:**** ********* **** ***** ** ********* **

0.9386 + ( 2.5141E-06)*X

0.9797 + ( 2.5141E-06)*X

X: 3.99E+1 2.40E+2 4.39E+2 6.39E+2 8.39E+2 1.04E+3 1.24E+3 1.44E+3

USL-1:USL-2:

0.93870.9798

0.93920.9803

0.93970.9808

0.94020.9813

0.94070.9818

0.94120.9823

0.94170.9828

0.94220.9833


Finis.Plot file written to: meu-h_x-60.plt

D-7

CHPRC-00455, REV. 0


****************************************************************************Version 1.4, April 23, 2003


Input to statistical treatment from file:meu-U235_U.inp

Title: MEU Benchmarks, U-235/U


.995

.950

.950167

0.000.000.05

independent

variable - x

1.70000E-011.70000E-011.70000E-011. 70000E-011. 70000E-011. 70000E-014.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-024.31000E-02

dependent

variable - y

9.92200E-019.95600E-019.96900E-019.91400E-019.91700E-019.85900E-019.93200E-019.95000E-019.99700E-019.98600E-019.94500E-019.92500E-019.89200E-019.93700E-019.90000E-019.92300E-019.87200E-019.89300E-019.85300E-019.85500E-019.97100E-019.83000E-019.74600E-019.82000E-019.88100E-019.82500E-019.86900E-019.85600E-019.82000E-019.88800E-019.83900E-019.93600E-019.95400E-019.95700E-019.95000E-019.96600E-019.93900E-019.96400E-019.93000E-019.94600E-011.00060E+009.96700E-019.96600E-011.00060E+009.95600E-019.92300E-019.93200E-011.00180E+009.95800E-019.93100E-01

deviation

in y


D-8

independent

variable - x

4.31000E-024.31000E-024.31000E-024.31000E-024.92000E-024.92000E-024.92000E-024.92000E-024.92000E-02,4.92000E-022.35000E-022.35000E-022.35000E-022.35000E-022.35000E-022.35000E-022.35000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-025.00000E-024.74000E-024.74000E-024.74000E-024.74000E-024.74000E-024.74000E-021. OOOOOE-Ol1. OOOOOE-Ol1. OOOOOE-Ol1. OOOOOE-Ol1.00000E-Ol1. OOOOOE-Ol1. OOOOOE-Ol1.00000E-Ol1.00000E-Ol

dependent

variable - y

1. 00150E+009.96100E-019.99000E-019.92100E-019.99000E-011. 00510E+009.98700E-011.00770E+009.98400E-011.00650E+009.96900E-019.93200E-019.96800E-019.92700E-019.95700E-019.96600E-019.94200E-019.95000E-019.94700E-019.94700E-019.94800E-019.95700E-019.96100E-019.95300E-019.93000E-019.94800E-019.97000E-019.92800E-019.94000E-019.94900E-019.93900E-019.95300E-019.94800E-019.95800E-019.95800E-019.90600E-019.93000E-019.99000E-019.95000E-019.91500E-019.88700E-019.95200E-019.94500E-019.98500E-019.92600E-019.96000E-019.97100E-019.95200E-019.99100E-019.97100E-01

deviation

in y


-~-----~------------------

CHPRC-00455, REV. 0

4.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-024.310008-02

chi = 17.8802

9.968008-019.954008-019.994008-019.958008-019.945008-019.982008-019.894008-019.925008-011.005908+001.007508+001.001708+009.918008-019.945008-019.966008-019.963008-019.946008-019.988008-019.987008-019.993008-019.978008- 019.950008-019.966008-019.989008-011.002908+009.960008-019.942008-019.963008-011.003308+001.005608+001.006408+009.978008-019.978008-019.978008-011. 000008+00

(upper bound =

2.800008-032.800008-032.700008-032.800008-032.800008-032.700008-032.700008-032.800008-032.800008-032.700008-032.900008-032.700008-032.900008-032.800008-032.700008-032.900008-032.700008-032.600008-032.800008-032.800008-032.800008-033.400008-033.300008-033.300008-033.300008-033.400008-033.500008-033.400008-033.300008-033.300008-033.400008-033.300008-033.300008-033.300008-03

9.49). The data

1.000008-011.000008-011. 000008-011. 000008-011.000008-011. 000008-011. 000008-015.640008-025.640008-025.640008-021. 000008-011. 000008-011. 000008-011.000008-011.000008-011.000008-011. 000008-011. 000008-011.000008-011.000008-011. 000008-011.000008-011.000008-011. 000008-011. 000008-011. 000008-011.000008-011. 000008-011.000008-011. 000008-011.000008-011. 000008-011. 000008-01

tests NOT normal

9.990008-019.98400E-019.974008-019.999008-011. 000208+009.999008-019.995008-019.958008-019.965008-019.972008-019.986008-011. 003808+009.965008-019.987008-019.995008-019.966008- 019.994008-019.968008-019.988008-019.974008-011.003808+001. 004908+001.001608+001.002408+001.000108+001. 002208+001. 001708+001.003508+001. 002708+001.000308+009.998008-011. 001808+001.000508+00

1. 000008-031.100008-031.100008-031.200008-031.100008-031.200008-031. 200008-034.200008-035.100008-036.400008-033.800008-033.900008-034.200008-034.200008-034.800008-031. 300008-031.200008-031.300008-031.300008-031.300008-031.600008-031.600008-031. 600008-031. 600008-031. 600008- 031.700008-031.700008-031.600008-031.600008-031.700008-031.600008-031.700008-031.700008-03


M8U Benchmarks, U-235/U

Number of data points (n)Linear regression, k(X)Confidence on fit (l-gamma) [input]Confidence on proportion (alpha) [input]Proportion of population falling abovelower tolerance interval (rho) [input]Minimum value of XMaximum value of XAverage value of XAverage value of kMinimum value of kVariance of fit, S(k,X)A 2Within variance, S(W)A 2Pooled variance, S(p)A 2Pooled std. deviation, s(p)C(alpha,rho)*s(p)student-t @ (n-2,1-gamma)Confidence band width, WMinimum margin of subcriticality, C*s(p)-W

1670.9943 + ( 2.73588-02)*X

95.0%95.0%

99.5%2.35008-021.70008-016.14828-02

0.995960.97460

2.62838-051.12628-053.75458-056.12748-032.68518-021.645008+001.04508-021.64008-02

Upper subcritical limits: ( 2.350008-02 <= X <= 0.17000***** *********** *******



USLs 8valuated Over Range of Parameter X:**** ********* **** ***** ** ********* **

0.9338 + ( 2.73588-02)*X

0.9674 + ( 2.73588-02)*X

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CHPRC-00455, REV. 0

X: 2.35E-2 4.44E-2 6.54E-2 8.63E-2 1.07E-1 1.28E-1 1.49E-1 1.70E-1

USL-1:USL-2:

0.93450.9681

0.93500.9686

0.93560.9692

0.93620.9698

0.93680.9704

0.93730.9709

0.93790.9715

0.93850.9721


Finis.Plot file written to: meu-U235_U.plt

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****************************************************************************version 1.4, April 23, 2003


Input to statistical treatment from file:meu-Vm_Vf.inp

Title: MEU Benchmarks, vm/Vf

proportion of the populationConfidence of fitConfidence on proportionNumber of observationsMinimum value of closed bandMaximum value of closed bandAdministrative margin

.995

.950

.950167

0.000.000.05

independent

variable - x

7.15000E+007.15000E+007.15000E+007.15000E+007.15000E+007.15000E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+001.59700E+001.59700E+001. 59700E+001. 59700E+001. 59700E+001. 59700E+001. 59700E+001.59700E+001.59700E+001.59700E+001. 59700E+001. 59700E+001. 59700E+001. 59700E+001. 59700E+001. 59700E+001.59700E+001. 59700E+001. 59700E+001.59700E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+00

dependent

variable - y

9.92200E-019.95600E-019.96900E-019.91400E-019.91700E-019.85900E-019.93200E-019.95000E-019.99700E-019.98600E-019.94500E-019.92500E-019.89200E-019.93700E-019.90000E-019.92300E-019.87200E-019.89300E-019.85300E-019.85500E-019.97100E-019.83000E-019.74600E-019.82000E-019.88100E-019.82500E-019.86900E-019.85600E-019.82000E-019.88800E-019.83900E-019.93600E-019.95400E-019.95700E-019.95000E-019.96600E-019.93900E-019.96400E-019.93000E-019.94600E-011.00060E+009.96700E-019.96600E-011. 00060E+009.95600E-019.92300E-019.93200E-011.00180E+009.95800E-019.93100E-01

deviation

in y


D-ll

independent

variable - x

1.59700E+001.59700E+001. 59700E+001. 59700E+002.14930E+002.14930E+001. 22370E+001. 22370E+008.97000E-018.97000E-011.59950E+001.59950E+001. 59950E+001. 59950E+001.59950E+001. 59950E+001.59950E+002.01240E+002.01240E+002.01240E+002.01240E+002.51640E+002.51640E+002.51640E+002.51640E+003.00670E+003.00670E+003.00670E+003.00670E+003.00670E+003.00670E+003.00670E+003.00670E+003.00670E+003.00670E+002.14260E+004.14950E+007.94660E+002.14260E+004.14950E+007.94660E+007.84942E+018.94269E+019.14054E+019.30594E+011.19568E+021.23615E+021.26336E+021. 4384 7E+021. 46481E+02

dependent

variable - y

1.00150E+009.96100E-019.99000E-019.92100E-019.99000E-011.00510E+009.98700E-011.00770E+009.98400E-011.00650E+009.96900E-019.93200E-019.96800E-019.92700E-019.95700E-019. 96600E- 019.94200E-019.95000E-019.94700E-019.94700E-019.94800E-019.95700E-019.96100E-019.95300E-019.93000E-019.94800E-019.97000E-019.92800E-019.94000E-019.94900E-019.93900E-019.95300E-019.94800E-019.95800E-019.95800E-019.90600E-019.93000E-019.99000E-019.95000E-019. 91500E- 019.88700E-019.95200E-019.94500E-019.98500E-019.92600E-019.96000E-019.97100E-019.95200E-019.99100E-019.97100E-01

deviation

in y


CHPRC-00455, REV. 0

3.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+003.88210E+001.59700E+001.59700E+001.59700E+001.59700E+001.59700E+001.59700E+001.59700E+001. 59700E+001.59700E+001.59700E+001.59700E+001.59700E+001.59700E+00

chi = 17.8802

9.96800E-019.95400E-019.99400E-019.95800E-019.94500E-019.98200E-019.89400E-019.92500E-011.00590E+001.00750E+001. 00170E+009.91800E-019.94500E-019.96600E-019.96300E-019.94600E-019.98800E-019.98700E-019.99300E-019.97800E-019.95000E-019.96600E-019.98900E-011.00290E+009.96000E-019.94200E-019.96300E-011. 00330E+001.00560E+001.00640E+009.97800E-019.97800E-019.97800E-011.00000E+00

(upper bound =

2.80000E-032.80000E-032.70000E-032.80000E-032.80000E-032.70000E-032.70000E-032.80000E-032.80000E-032.70000E-032.90000E-032.70000E-032.90000E-032.80000E-032.70000E-032.90000E-032.70000E-032.60000E-032.80000E-032.80000E-032.80000E-033.40000E-033.30000E-033.30000E-033.30000E-033.40000E-033.50000E-033.40000E-033.30000E-033.30000E-033.40000E-033.30000E-033.30000E-033.30000E-03

9.49). The data

O.OOOOOE+OOO.OOOOOE+OOO.OOOOOE+OOO.OOOOOE+OOO.OOOOOE+OOO.OOOOOE+OOO.OOOOOE+OO5.54913E+015.54913E+015.54913E+015.41652E+015.41652E+015.41652E+015.41652E+015.41652E+017.15241E+017.76479E+018.49302E+019.03621E+019.50205E+014.72695E+015.18479E+016.13569E+016.55709E+017.05048E+017.45171E+017.78317E+014.72695E+015.15151E+016.16113E+016.55572E+017.05120E+017.35156E+01

tests NOT normal

9.99000E-019.98400E-019.97400E-019.99900E-011.00020E+009.99900E-019.99500E-019.95800E-019.96500E-019.97200E-019.98600E-011.00380E+009.96500E-019.98700E-019.99500E-019.96600E-019.99400E-019.96800E-019.98800E-019.97400E-011.00380E+001.00490E+001.00160E+001.00240E+001.00010E+001.00220E+001.00170E+001.00350E+001.00270E+001. 00030E+009.99800E-011. 00180E+001.00050E+00

1. 00000E-031.10000E-031.10000E-031.20000E-031.10000E-031.20000E-031.20000E-034.20000E-035.10000E-036.40000E-033.80000E-033.90000E-034.20000E-034.20000E-034.80000E-031.30000E-031.20000E-031.30000E-031.30000E-031. 30000E-031. 60000E-031.60000E-031.60000E-031.60000E-031.60000E-031.70000E-031.70000E-031.60000E-031.60000E-031.70000E-031. 60000E-031.70000E-031.70000E-03


MEU Benchmarks, Vm/Vf

Number of data points (n)Linear regression, k(X)Confidence on fit (l-gamma) [input]Confidence on proportion (alpha) [input]proportion of population falling abovelower tolerance interval (rho) [input]Minimum value of XMaximum value of XAverage value of XAverage value of kMinimum value of kVariance of fit, S(k,X)A 2Within variance, S(W)A 2Pooled variance, S(p)A 2Pooled std. deviation, s(p)C(alpha,rho)*s(p)student-t @ (n-2,1-gamma)Confidence band width, WMinimum margin of subcriticality, C*s(p)-W

1670.9953 + ( 3.7479E-05)*X

95.0%95.0%

99.5%O.OOOOE+OO1.4648E+021. 8329E+01

0.995960.97460

2.5555E-051.1262E-053.6817E-056.0677E-032.7080E-021.64500E+001.0464E-021.6616E-02

Upper subcritical limits:***** *********** *******

0.0000 <= X <= 146.48



USLs Evaluated Over Range of Parameter X:

0.9348 + ( 3.7479E-05)*X (X <0.9395 (X >=

0.9682 + ( 3.7479E-05)*X (X <0.9729 (X >=

D-12

126.06126.06

1.26061E+02)1.26061E+02)

CHPRC-00455, REV. 0

**** ********* **** ***** ** ********* **

X: O.OOE+O 2.09E+1 4.19E+1 6.28E+1 8.37E+1 1.05E+2 1.26E+2 1.46E+2

USL-1:USL-2:

0.93480.9682

0.93560.9690

0.93640.9698

0.93720.9705

0.93790.9713

0.93870.9721

0.93950.9729

0.93950.9729


Finis.Plot file written to: meu-Vm_Vf.plt

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APPENDIX E - MANAGEMENT DECISION

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CHPRC-00455, REV. 0

From: Puigh, RaymondSent: Wednesday, August 16,20062:41 PMTo: Miller, Edward M; Lan, Jay SCc: Puigh, Raymond; Erickson, David G; Nelson, JoeSubject: MCNP Version 5

Gentlemen,

I have decided to proceed with the issuance of MCNP Version 5 using the current validationdatabase used for the version 4C validation. After documentation has been completed we willaddress a review of the database for new data that should be added to the validation database andupdate our documentation. If you have any questions, please call at 376-3766.

RJ Puigh

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