Text

County Station Analysis L-003388, Revision 0, LaSalle Irsf Shielding Calculations for Class B & C Waste, Attachment E (Page E1 of E246) Through Attachment I (Page I-17 of I-17)
	ML110390449
Person / Time
Site:	Peach Bottom, LaSalle
Issue date:	02/07/2011
From:	; URS Corp
To:	; Office of Nuclear Reactor Regulation
Shared Package
ML110390445	List: ML110390448; ML110390449; ML110390450; ML110390460; ML110390461; RS-11-016, Clarification of Supplemental Information - License Amendment to Allow Receipt and Storage of Low-Level Radioactive Waste at LaSalle County Station, Units 1 and 2 and Peach Bottom Atomic Power Station, Units 2 and 3;
References
	L-003388, Rev 0
	Download: ML110390449 (282)
	v • d • e

Attachment E MCNP Assessment of Hiding Containers Behind Containers Adjacent to IRSF Outer Walls This attachment contains 1 MicroShield and 6 MCNP runs as outlined here and in the following page. These analyses are performed to assess the contact dose rate limits for containers in the immediate vicinity of outside walls. These analyses also assess dose contributions from the row behind that nearest to the wall.

Source Strength Assessment Page E2 is a simple MicroShield container model that shows a correlation between source strength in photons/second and container contact dose rate for a nominal source specific gravity of 0.9. No container wall is modeled, but since the source strength is controlled on a contact dose basis in any case, the particulars of density and container materials is considered insignificant. The results are that a source strength of 1.024e13 photons per second yield a 100 R/hr contact dose rate (modeled at 1 inch from the wall).

In the MCNP models the same source only geometry with a 5 foot diameter, 6 foot height, and 0.9 sp.gr. is used. The MCNP models are run on a 1 photon/sec basis so the results must be scaled up with the actual source terms.

MCNP Cases The MCNP run names, and purposes are as follows:

File Name Purpose TidD.o Models doses through an IRSF 30 thick concrete wall from 13 containers, 7 along the wall and 6 behind, centered in the gap between the front row containers. Contact dose rate limits are selected based on a full array of containers, stacked two high.

TidDB.o Same as above but source is only in the back six containers. This is to allow the contribution of the back containers to be separated.

TidA1.o Models dose from a single stack of containers, to help illustrate that dose rates outside of the building will build slowly.

TidA2.o Models dose from a single container, again to help illustrate that dose rates outside of the building will build slowly.

TidA3.o Provides a basis for estimating axial peaking for stacked containers.

TidA4.o Provides a basis for estimating axial peaking for a single container or single layer.

TidA5.o Provides a basis for estimating the effect of a shield bell The figures that follow this page show the MCNP Vised geometry screen images for these cases.

Container separation and distance from outside walls are in accordance with plant procedures and crane indexing. The 13 container model is considered sufficient for this analyses, and containers behind these two rows are assumed to make a negligible contribution to doses from radiation through an outside wall, as long as intervening containers are present.

Dose rates are calculated using a surface corossing detector on the outside wall surface. This surface is segmented vertically to calculate dose rate directly in front and between containers. For axial peaking assessments, this surface is segmented horizontally as shown and discussed.

Shield density reflected as-poured data with rebar blending.

Calculation No. L-003388, Rev. 0 Attachment E (Page E1 of E246)

URS Washington Division MicroShield v5 . 05 (5.05-00211)

Raytheon Engineers & Constructors Page 1 File Ref :

DO File : HIDE . M 5 Da e :

Run Date : M rch 13 , 2009 By :

Run Time : 7 : 03 : 27 PM Checked :

Duration : 00 : 00 : 15 Case Title : Case 1

Description:

Case 1 Geometry : 7 - Cylinder Volume - Side Shields Source Dimensions Height 182 . 88 cm 6 ft Radius 76 . 2 cm 2 ft 6 . 0 in Dose Points X y z 1 78-:74 em 91.44 em 0- cm 2 ft 7 . 0 in 3 ft 0 . 0 in 2 176 . 2 em 91. 44 em 0 cm 5 f 9.4 in 3 ft 0 . 0 in Shields Shield Name Dimension Material Densi y Source 2 . 04ei05 in' ~I ter 0.9 Transition Air 0 . 00122 Air Gap Air 0 . 00122 Source Input Grouping Method : Actual Photon Energies pei/em' Bg/em' 4 . 1473e+001 1 . 5345e+006 Buildup The material reference is : Source Integration Parameters Radial 30 Circumferential 30 Y Direc ion (axial ) 31 Results - Dose Point # 1 - (31,36 , 0) in Energy Activity Fluence Ra e Fluenee Rate Exeosure Rate Exposure Ra e

~leV ehotons/sec MeV/em'/see MeV/cm'/see mR/hr mR/hr No Buildup vii th Buildup No BUildup Wit h----ati"il dup 0 . 6938 8 . 350e+08 9 . 486e+02 2 . 387e+03 1 . 832e+00 4 . 60ge+OO

1. 1732 5 . 11ge+l2 1 . 254e+07 2 . 631e+07 2 . 240e+04 4 . 701e+04

1. 3325 5 . 11ge+l2 1 . 515e+07 3 . 054e+07 2 . 628e+04 5 . 29ge+04 TOTALS : 1 . 024e+13 2 . 76ge+07 5 . 685e+07 4 . 86ge+04 1 . 000e+05 Results - Dose Point # 2 - (6 . 94e+01 , 36 , 0) in Energy Activity Fluence Ra e Fluence Rate Exposure Rate Exposure Rate MeV eho ons/sec MeV/cm'/sec MeV/cm'/sec mR/hr mR/hr No Buildup vlith Buildup No BUildup Wit h----ati"i1 u e 0 . 6938 8 . 350e+08 1 . 943e+02 4 . 761e+02 3 . 751e 01 9 . l9le - Ol 1 . 1732 5 . 11ge+12 2 . 547e+06 5 . 210e+06 4 . 551e+03 9 . 3l0e+03 1 . 3325 5 . 11ge+l2 3 . 070e+06 6 . 037e+06 5 . 326e+03 1 . 047e+04 TOTALS : 1. 024e+l3 5 . 617e+06 1 . 125e+07 9 . 877e+03 1 . 97ge+04 Calculation No. L-003388, Rev. 0 Attachment E (Page E2 of E246)

MCNP Vised Geometry with source particle plotting on left, TidD.o with source in all containers MCNP Vised Geometry with source particle plotting, TidDB.o with source in back containers only Calculation No. L-003388, Rev. 0 Attachment E (Page E3 of E246)

MCNP Vised Geometry with source particle plotting, single stack, TidA1.o and TidA3.o MCNP Vised Geometry with source particle plotting, single container, TidA2.o and TidA4.o Calculation No. L-003388, Rev. 0 Attachment E (Page E4 of E246)

URS Washington Division A B c D E F G H I J K L LaSalle IRSF : Wall Shielding Effectiveness Evaluation (Baseline 1 00 R/hr contact c ontainer s) 2 13 stac k source 6 back stack source 1 3 stac k s o urce 6 b ack stack s ource 3 segment rem / hr p er y/ s rS D s e gme nt rem / nr p er y/ 5 r SD s egment mrem/hr mrem/hr 4 1 7 . 36836 E- 18 0 . 02 75 1 5.615~O E- 20 0.32 26 2 . 04 0 . 01 2 1.112 5 2E- 17 0.0281 2 8.3 5134 E- 19 0 . 103 1 2 3. 0 9 0 . 11 6 1.167 5 6E- 17 0 . 0268 3 . 69586E- 18 0 . 04 8 4 3 3.24 0.47 7 1.16 4 8 5E- 17 0 . 02 41 6 . 26371 E- 18 0 . 03 4 1 4 3 .23 0 .8 0 8 1. 2189 5E- 17 0 . 0 275 3 . 88370 E- 18 0 . 049 5 5 3.38 I n Between 0 . 50 6 1. 22330 E- 17 0.0279 1.563~9 E- 18 0 . 0687 6 3.39 Directly in Front 0 . 20 10 1 . 23 8 3 4E - 17 0 . 0272 4. 21982 E- 18 0 . 0 4 72 7 3 . 43 I n Between 0 . 54 11 1.1 8 7 8 7 E- 17 0 . 0239 6 . U 977 E- 18 0 . 03 55 81 3.29 Direc tly in Gap 0 .82 1 . 21972 E- 1 7 0 . 0 271 3 .7 08 43E- 18 0 . 049 9 3 . 38 I n Between 0.47

'13 10 11 1 . 277 5 8 E- 1 7

1. 22993 E- 17 0 . 0263 0 . 027 10 11 1.727 33E- 18 0 . 0673 3 . 9 5935E- 18 0 . 0 489 10 11 3.41 Directl y in Front I n Between 0 . 22 0 .51 15 12 1.2316 4E - 17 0 . 0 234 12 6 . 37245E- 18 0 . 03 42 3.42 Direc tly in Gap 0 .82 16 13 1 . 263 5 lE - 17 0 . 02 57 13 4 . 02 4 23E- 18 0 . 0 47 6 13 3 . 50 I n Between 0 . 52

.) ( 1. 27 5 28 E- 17 0 . 0269 14 2.08969 E- 1 8 0 . 0648 14 3.54 Directly in Front 0.27 15 1. 2 4 222 E- 17 0 . 026 4 15 3.99 17~ E- 18 0 . 0 47 8 3.45 I n Between 0 .51 19 16 1.2 44 39 E- 17 0 . 0238 16 5 . 81923E- 18 0 . 03 4 8 3.45 Direc tly in Gap 0 .7 4 20 17 1.16720 E- 1 7 0 . 0274 17 4 . 16024 E- 18 0 . 0492 17 3 . 24 I n Between 0 . 53 18 1. 27 01 5E- 17 0 . 0 262 18 1 . 65159 E- 18 0 . 070 8 18 3.52 Directly in Front 0.21

'2'2 23 19 20 1. 2 4 8 55E - 17 0 . 02 74 0 . 023 5 19 20 3.87319 E- 18 6 . 60641 E- 18 0 . 0 484 0 . 0336 3.27 3.46 I n Between Direc tly in Gap 0.50 0 .8 5 24 21 1. 23 5 0 9E- 17 0 . 0 2 65 21 3 . 77152 E- 18 0 . 0 489 21 3 . 43 I n Between 0 . 48 22 1 . 2 8 791 E- 17 0 . 0267 22 1 . 729~9 E- 18 0 . 06 53 22 3.57 Directly in Front 0.22

'20 23 1. 2 55 7 8 E- 17 0 . 0266 23 0 . 0 4 89 23 3.48 I n Between 0.53 27 24 1. 226 5 0 E- 17 0 . 0 235 24

~.10893 E- 18 6 . 50147 E- 18 0 . 03 41 24 3.4 0 0.8 3 28 25 1.2 4 1 5 2E- 17 0 . 026 4 25 3 . 89146E- 18 0 . 05 1 2 25 3.44 0 .5 0 26 1 . 13 571 E- 17 0 . 0 285 26 8 . 410 80 E- 19 0 . 10 1 8 26 3. 1 5 0 . 11 27 7 .4 7 00 lE- 18 0 . 0276 27 7.621 09 E- 20 0 . 2553 27 2 . 07 0 . 01 31 Reminder: These a re Dose Rates from 100 R/h r Contact Contain ers

~3~2~________+-______~1~.~0~2~4~E~+~1~3~____~y~ / s~p~e~r~10~O~R

~ / h~r _c~0~~~.t~a~1~-n~e~_~

r ____~______~1~.~O~2~4~E~+~1~3+-______~~ __'~rage 3.51 Directly in Front 0.22 --

33 26 <-- NUlt'.ber o f Conta i n ers --> 12 ~verage I 3 . 40 I n Between 0 . 51 3 4r-1---------+-------------------j------------------------------------f----------------+---------1iAv e r age 3 . 41 I Direc t l y in Gap I 0 . 81 -

35 I I I

~A contact dose rate l imit o f 25 R/hr o n periphery c o ntaine rs p r o vides contro l o f direct dose rates to within 1 mrem/hr. Contact dose rate f o r

-4 the row behind could be 35 R/hr, or higher if the front conta iners are " cooler" than 25 R/hr.

38 Conta iners behind two r ows are cons idered i nhe rently we l l s h ie l ded.

39 (1 ) Gamma Strength / 1 00 R/ h r con t aine r f rom Pag e E2. I I 40 (2 ) INumber o f containers based on t T,o,'O high s ta c k ing 1,>,1 i th 'h'as te treated. as 15 0 inc hes ta ll , rather t h a n 2 x 72 inc hes tall

.il I Dos <= Rate fr om 100R/h r Contact 4'2 1.2 8 68 3 E- 16 0 . 0084 2.75 43 2 . 32686 E- 16 0 . 009 1 S ing l e Cont a iner Data 2 .38 44 1 .42636E - 16 0.0114 Single St ack Da t a, a x ial c e n ter 6 fee t 3. 0 4 4~ 2 . 7 0 55 2E- 16 0 . 0117 Singl e Cont ainer Da ta, axial c enter 3 feet 2.77 40 1. 6 4 8 5 8 E- 17 0 . 0 177 Single Contai n er in Shield Bell Da ta 0.17 47 1.11 S tac k Peaki ng Factor 48 35 Opper limit on hidde n con tai n ers if all i n fr ont are 25 R/ hr . 1 .16 Co ntaine r Peaking Factor 48 I I 1 6. 4 Shield Bell Effect Facto r Calculation No. L-003388, Rev. 0 Attachment E (Page E5 of E246)

URS Washington Division A B c o E F LaSalle IRSF: Wall Shielding Effectiveness Eva 13 stack source 6 back s tack s ource s egment. rem/ hr per r/ 3 FSO segment rem/hr p,=r r / 5 FSO 1 7 . 36836E- 1 8 0 . 027 5 5. 61 5 ~ E - 2 0 0 . 3 22 6 2 1 . 112 5 2 E- 17 0 . 0281 8 . 3 5 134E- 1 9 0 . 1 03 1 3 1. 16 7 56E-17 0 . 0268 3 3 . 695 86E- 18 0 . 0 4 84

~ 1.1648 5E- 1 7 O. 02 ~ 1 6 . 26371 E- 18 0 . 03 H 5 1. 2 1895E-17 0. 027 5 5 3 . 88372:- 1 8 0 . 0 4 95 6 1 .2 233E- 17 0 . 0279 1. 5 63 4 9E- 18 0 . 0687 7 1 . 2383 ~E - 1 7 0 . 0272 ~ . 21982 E- 18 0 . 0 4 72 8 1 . 1878 7E- 1 7 0 . 0239 0 . 0 3 55 9 1. 2 1972E- 17 0 . 0271 3 . 708~3 E - 18 0.0 4 9 10 1 . 27 758 E- 1 7 0 . 0263 10 1 . 72733E- 18 0 . 067 3 11 1. 2 2993E-17 0 . 027 11 3 . 95935E-18 0 . 0 4 89 12 1. 2 316 ~ E- 1 7 0 . 023 4 12 6 . 372 ~5E - 18 O. 0 3 ~2 13 1 . 2635 1E- 1 7 0 . 02 57 13 4 . 0 2 4 23 E- 18 0 . 0 476 14 1 . 2 7528 E-17 0 . 0269 2 . 08 9 69 E- 18 0 . 0 648 15 1 . 2 4 2 2 2 E- 1 7 0. 026 4 15 3 . 9917 4E- 18 0 . 0 4 78 16 1 . 2 4 ~39 E - 17 0. 0238 16 5 . 81923E- 1 8 17 1 . 1672 E- 1 7 0 . 027 4 17 4 . 160 2 4E- 18 0 . 0 4 92 18 1 . 27 0 15E- 1 7 0. 026 2 18 1 . 651 5 9E- 18 0 . 0708 19 1 . 17748E- 17 0 . 02 74 19 3 . 8 7 319E- 1 8 0 . 0484 20 1. 2 48 55E - 1 7 0 . 0235 20 6 . 606 4 1 E-18 0.0336 21 1 . 23 5 09E- 1 7 0. 0 2 6 5 21 3 . 771 5 2 E- 18 0 . 0 4 89 22 1 . 28 7 91 E- 1 7 0 . 0267 22 1 . 729 ~9 E - 18 0 . 0 653 23 1 . 25578E-1 7 0 . 0266 23 4. 10893E- 18 0.0 4 89 24 1 . 2265E- 1 7 0 . 0235 24 6 . 5 01 ~ 7 E - 18 0 . 034 1 25 1. 2 4152 E- 17 0 . 026 4 25 3 . 89 H6 E- 18 0 . 0512 26 1 .1 3 5 71 E-1 7 0 . 028 5 26 8 . H 0 8 E- 1 9 0 . 1018 27 7. ~7 0 01 E - 1 8 0. 02 7 6 27 7 . 62109 E- 20 0 . 2 553 SL 102 40000000000 Y/ 5 per 100 R/ h r contai n .. r 1 02 40000 000000

\3 26 <-- Number o f Con'&aine r s --> 12

\4 4~A contact dose rate limi t of 25 R/hr on peri phery con tai ners provides con tro l o f di rect dose rates t o withi n 1 mrem/h r. Con tact dose rate f o r the row behi 38 Containe rs behind two rows are considered i nhere ntly wel l shi e l ded.

,j\j (1 ) Gamma Strengt h / 100 R/ hr c onta i n .. : I 4U (2) Nu.rnber o f contai ners b ased on l: WO I I 41 I 4L 1. 2 8683E 1 6 0. 0 08 4 Sing le Stack Data 2 . 32686E- 16 0 . 0 0 91 Si ng le Containe r Dat a 44 1 .4 2636E- 1 6 0 . 01 14 Sing l e Sta c k Data, ax i al c enter 6 f eet 2 . 7 0 552 E 1 6 0 . 0117 Si ng l e Conta i ner Data , ax i al c ente r 3 fee t 4Q 1. 6 4 8 5 8 E-17 0 . 0177 S i ngle Conta i ner in Shield Bell Dc. t a I

4tl =25* ( 4/H47- (H3 3 -K Upper limit on hidden containers i: I 1

Calculation No. L-003388, Rev. 0 Attachment E (Page E6 of E246)

URS Washington Division G H I J K L 1 uation (Baseline 100 R/hr contact containers) 13 s tack source 6 b ack stack source segment mrem/ h r mrem/hr 1 =1 0 00*B4*B$32*B$33*150/1 44 =1 000*E4*E$32*E$33*150 /144 2 =1 0 00*B5*B$3 2 *B$33*150/1 44 =1000 *E5*E$32*E$33*150 /144 3 -1000*B6*B$32*B$33*150/144 -1000*E6*E$32*E$33*150/144 4 =1000*B7*B$32*B$33*150/144 =1000*E7*E$32*E$33*150/144 5 =1000*B8*B$32*B$33*150/144 In Between =1000*E8*E$32*E$33*150/144

-1000*B9*8$32*8$33*150/144 DiI:eatl.y in Front -1000*B9*B$32*B$33*150/144

[~

t:

=1000*B10*B$32*B$33*150/144 In Between =1000*E10*E$32*E$33*150/144 1=1000 *B1 1*B$32 *B$33* 150/144 1 Directly in Gap 1=1 000*E11 *E$3 2 *E$33* 150/144

=1000*B12*B$32*B$33*150/144 In Between =1000*E12*E$32*E$33*150/144

"""T'3'" 10 -1000*813*8$32*8$33*150/144 DUectl.y in Front -1000*B13*B$32*B$33*150/144 11 =1000*B14*B$32*B$33*150/144 In Between =1000*E14*E$32*E$33*150/144 12 1=1 0 00*B15*B$32 *B$33*1 50/144 1 Directly in Gap 1=1 0 0 0*E15*E$32*E$33*150/14 4 13 =1000*B16*B$32*B$33*150/144 In Between =1000*E16*E$32*E$33*150/144 14 -1000*B17*8$32*8$33*150/144 DiI:eatl.y in Front -1000*B17*B$32*B$33*150/144 15 =1000*B18*B$32*B$33*150/144 In Between =1000*E18*E$32*E$33*150/144

m-16 1=1 0 00 *B19*B$32*B$33*1 50/1 4 4 1 Directly in Gap 1=1 0 0 0 *E1 9*E$3 2 *E$33*150/14 4 17 =1000*B20*B$32*B$33*150/144 In Between =1000*E20*E$32*E$33*150/144 j

18 -1000*821*8$32*8$33*150/144 DiI:eatl.y in Front -1000*B21*B$32*B$33*150/144 19 =1000*B22*B$32*B$33*150/144 In Between =1000*E22*E$32*E$33*150/144

... 20 1=1000*B23*B$32 *B$33* 150/144 1 Directly in Gap 1=1 000*E23*E$3 2 *E$33*150/144

......., 21 22

=1000*B24*B$32*B$33*150/144

-1000*825*8$32*8$33*150/144 In Between DUectl.y in Front

=1000*E24*E$32*E$33*150/144

-1000*B25*B$32*B$33*150/144

...., 23 =1000*B26*B$32*B$33*150/144 In Between =1000*E26*E$32*E$33*150/144 24 =1000*B27*B$32*B$33*150/144 =1000*E27*E$32*E$33*150/144 25 =1000*B28*B$32*B$33*150/144 =1000*E28*E$32*E$33*150/144 26 =1000*B29*B$32*B$33*150/144 =1000*E29*E$32*E$33*150/144 27 =1 0 00 *B3 0*B$32 *B$33*1 50/144 =1 0 0 0*E30 *E$3 2 *E$33* 150/144 Reminder: These are Dose Rates from 1 00 R/hr Contact Containers

-AVBRAGB (B9,B13,B17 ,821 ,825) DiI:eatl.y in Front -AVBRAGB(D,n3,n7 ,1[21 ,1[25) -

=AVERAGE (B8 ,B10 ,B12 ,B14 ,B16 ,818 ,820 ,822 ,824 ,B26) In Between =AVERAGE (K8 ,K10,K12 ,K14 ,Kl6,K18,K20 ,K22 ,K24 ,K26)

~ Average I=AVERAGE (Bll , B15, H19, H2 3 ) I Directly in Gap =AVERAGE (K11 , K15 ,K1 9 ,K23 )

I I I 4~d could be 35 R/hr , or higher if the f r ont containers are " coo le r " tha n 25 R/hr.

38 I

I DoS E Rate fr om 1 0 0R/ ~

-1 0 00*B42*B$32*2*1 5 0/144

=1 0 00*B43*B$32

=1 0 00*B44 *B$32*2*150/14 4 4::> -1000*B45*B$32

=1000*B46*B$32

=B44/H42 Stack Peaking Factor

=H45/H4 3 Container Peaking Factor

-H45 /H4 6 Shield Bell Effect Factor Calculation No. L-003388, Rev. 0 Attachment E (Page E7 of E246)

Thread Name & Version = mcnp5_RSICC, 4.23

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l l l (_ l l l_) _)

l

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

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1mcnp version 5 ld=07-10-03 04/28/09 08:32:29

- - - - probid = 04/28/09 08:32:29 inp = TidD outp = TidD.o 1- c Created on: Tuesday, April 28, 2009 at 08:19 2- 1 280 -0.9 -1 15 -16 3- 2 280 -0.9 -2 15 -16 4- 3 280 -0.9 -3 15 -16 5- 4 280 -0.9 -4 15 -16 6- 5 280 -0.9 -5 15 -16 7- 6 280 -0.9 -6 15 -16 8- 8 280 -0.9 -8 15 -16 9- 9 280 -0.9 -9 15 -16 10- 10 280 -0.9 -10 15 -16 11- 11 280 -0.9 -11 15 -16 12- 12 280 -0.9 -12 15 -16 13- 13 280 -0.9 -13 15 -16 14- 14 280 -0.9 -14 15 -16 15- 15 204 -0.0012 29 -30 28 -17 15 -16 #1 #2 #3 #4 #5 #6 #8 #9 #10 #11 #12 16- #13 #14 17- 16 228 -2.366 29 -30 17 -18 15 -16 18- 17 228 -2.366 29 -30 18 -19 15 -16 19- 18 228 -2.366 29 -30 19 -20 15 -16 20- 19 228 -2.366 29 -30 20 -21 15 -16 21- 20 228 -2.366 29 -30 21 -22 15 -16 22- 21 228 -2.366 29 -30 22 -23 15 -16 23- 22 228 -2.366 29 -30 23 -24 15 -16 24- 23 228 -2.366 29 -30 24 -25 15 -16 25- 24 228 -2.366 29 -30 25 -26 15 -16 26- 25 228 -2.366 29 -30 26 -27 15 -16 Calculation No. L-003388, Rev. 0 Attachment E (Page E8 of E246)

27- 26 0 -29 :30 :-28 :27 :-15 :16 28-29- 1 c/z 99.06 0 76.2 30- 2 c/z 297.18 0 76.2 31- 3 c/z 495.3 0 76.2 32- 4 c/z 693.42 0 76.2 33- 5 c/z 891.54 0 76.2 34- 6 c/z 1089.66 0 76.2 35- 8 c/z 0 172.72 76.2 36- 9 c/z 198.12 172.72 76.2 37- 10 c/z 396.24 172.72 76.2 38- 11 c/z 594.36 172.72 76.2 39- 12 c/z 792.48 172.72 76.2 40- 13 c/z 990.6 172.72 76.2 41- 14 c/z 1188.72 172.72 76.2 42- 15 pz 0 43- 16 pz 381 44- 17 py 294.64 45- 18 py 302.26 46- 19 py 309.88 47- 20 py 317.5 48- 21 py 325.12 49- 22 py 332.74 50- 23 py 340.36 51- 24 py 347.98 52- 25 py 355.6 53- 26 py 363.22 54- 27 py 370.84 55- 28 py -100 56- 29 px -100 57- 30 px 1288.72 58- 100 px -22.86 59- 103 px 22.86 60- 106 px 68.58 61- 110 px 129.54 62- 113 px 175.26 63- 116 px 220.98 64- 119 px 266.7 65- 123 px 327.66 66- 126 px 373.38 67- 129 px 419.1 68- 132 px 464.82 69- 136 px 525.78 70- 139 px 571.5 71- 142 px 617.22 72- 145 px 662.94 73- 149 px 723.9 74- 152 px 769.62 Calculation No. L-003388, Rev. 0 Attachment E (Page E9 of E246)

75- 155 px 815.34 76- 158 px 861.06 77- 162 px 922.02 78- 165 px 967.74 79- 168 px 1013.46 80- 171 px 1059.18 81- 175 px 1120.14 82- 178 px 1165.86 83- 181 px 1211.58 84-85- mode p 86- m280 1001.60c -0.111915 $Water (density of 1 assumed) warning. neutron table inconsistent with mode will be ignored.

87- 8016.60c -0.888085 warning. neutron table inconsistent with mode will be ignored.

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

89- 8016.60c -0.498076 11023.60c -0.017101 12000.60c -0.002565 warning. neutron table inconsistent with mode will be ignored.

warning. neutron table inconsistent with mode will be ignored.

90- 13027.60c -0.045746 14000.60c -0.315092 16000.60c -0.001283 warning. neutron table inconsistent with mode will be ignored.

warning. neutron table inconsistent with mode will be ignored.

91- 19000.60c -0.019239 20000.60c -0.082941 26054.60c -0.000707 warning. neutron table inconsistent with mode will be ignored.

warning. neutron table inconsistent with mode will be ignored.

92- 26056.60c -0.01139 26057.60c -0.000265 26058.60c -3.6e-005 warning. neutron table inconsistent with mode will be ignored.

warning. neutron table inconsistent with mode will be ignored.

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

94- 8016.60c -0.231475 18000.59c -0.012889 warning. neutron table inconsistent with mode will be ignored.

warning. neutron table inconsistent with mode will be ignored.

95- imp:p 1 13r 2 4 8 $ 1, 18 96- 16 32 64 128 256 $ 19, 2 97- 512 1024 0 $ 24, 26 98- phys:p 100 1 0 99- sdef erg=d5 x=d1 y=d2 z=d3 cel=d4 eff=0.0001 100- si1 -99.99 1288.71 101- sp1 0.0 1.0 102- si2 -80 285 103- sp2 0.0 1.0 104- si3 0.01 380.99 Calculation No. L-003388, Rev. 0 Attachment E (Page E10 of E246)

105- sp3 0.0 1.0 106- si4 l 1 2 3 4 5 6 8 9 10 11 12 13 14 107- sp4 1 1 1 1 1 1 1 1 1 1 1 1 1 108- si5 l 1.1730 1.3325 109- sp5 1 1 110- f2:p 17 18 19 20 21 22 23 24 25 26 27 warning. without bremsstrahlung, flux estimates will be low.

111- fs2 -100 -103 -106 -110 -113 -116 -119 -123 -126 -129 -132 -136 -139 &

112- -142 -145 -149 -152 -155 -158 -162 -165 -168 -171 -175 -178 -181 113- de2 0.01 0.03 0.05 0.07 0.10 0.15 0.20 &

114- 0.25 0.30 0.35 0.40 0.45 0.50 0.55 &

115- 0.60 0.65 0.70 0.80 1.00 1.40 1.80 &

116- 2.20 2.60 2.80 3.25 3.75 4.25 4.75 &

117- 5.00 5.25 5.75 6.25 6.75 7.50 9.00 &

118- 11.0 13.0 15.0 119- df2 LIN 3.96E-06 5.82E-07 2.90E-07 2.58E-07 2.83E-07 3.79E-07 5.01E-07 &

120- 6.31e-07 7.59E-07 8.78E-07 9.85E-07 1.08E-06 1.17E-06 1.27E-06 &

121- 1.36e-06 1.44E-06 1.52E-06 1.68E-06 1.98E-06 2.51E-06 2.99E-06 &

122- 3.42e-06 3.82E-06 4.01E-06 4.41E-06 4.83E-06 5.23E-06 5.60E-06 &

123- 5.80e-06 6.01E-06 6.37E-06 6.74E-06 7.11E-06 7.66E-06 8.77E-06 &

124- 1.03e-05 1.18E-05 1.33E-05 125- nps 50000000 1cells print table 60 atom gram photon cell mat density density volume mass pieces importance 1 1 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 2 2 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 3 3 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 4 4 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 5 5 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 6 6 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 7 8 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 8 9 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 9 10 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 10 11 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 11 12 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 12 13 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 13 14 280 9.02777E-02 9.00000E-01 6.95000E+06 6.25500E+06 1 1.0000E+00 14 15 204 4.96866E-05 1.20000E-03 0.00000E+00 0.00000E+00 0 1.0000E+00 15 16 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 2.0000E+00 16 17 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 4.0000E+00 17 18 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 8.0000E+00 18 19 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 1.6000E+01 19 20 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 3.2000E+01 20 21 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 6.4000E+01 21 22 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 1.2800E+02 Calculation No. L-003388, Rev. 0 Attachment E (Page E11 of E246)

22 23 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 2.5600E+02 23 24 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 5.1200E+02 24 25 228 7.58600E-02 2.36600E+00 4.03176E+06 9.53914E+06 0 1.0240E+03 25 26 0 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 0 0.0000E+00 total 1.30668E+08 1.76706E+08 minimum source weight = 1.0000E+00 maximum source weight = 1.0000E+00

Random Number Generator = 1 *

Random Number Seed = 19073486328125 *

Random Number Multiplier = 19073486328125 *

Random Number Adder = 0 *

Random Number Bits Used = 48 *

Random Number Stride = 152917

19 warning messages so far.

1cross-section tables print table 100 table length tables from file mcplib04 1000.04p 1898 ENDF/B-VI Release 8 Photoatomic Data for 1-H mat 100 02/07/03 7000.04p 3194 ENDF/B-VI Release 8 Photoatomic Data for 7-N mat 700 02/07/03 8000.04p 3272 ENDF/B-VI Release 8 Photoatomic Data for 8-O mat 800 02/07/03 11000.04p 3995 ENDF/B-VI Release 8 Photoatomic Data for 11-NA mat1100 02/07/03 12000.04p 3781 ENDF/B-VI Release 8 Photoatomic Data for 12-MG mat1200 02/07/03 13000.04p 4846 ENDF/B-VI Release 8 Photoatomic Data for 13-AL mat1300 02/07/03 14000.04p 4792 ENDF/B-VI Release 8 Photoatomic Data for 14-SI mat1400 02/07/03 16000.04p 4654 ENDF/B-VI Release 8 Photoatomic Data for 16-S mat1600 02/07/03 18000.04p 4696 ENDF/B-VI Release 8 Photoatomic Data for 18-AR mat1800 02/07/03 19000.04p 5047 ENDF/B-VI Release 8 Photoatomic Data for 19-K mat1900 02/07/03 20000.04p 5013 ENDF/B-VI Release 8 Photoatomic Data for 20-CA mat2000 02/07/03 26000.04p 5718 ENDF/B-VI Release 8 Photoatomic Data for 26-FE mat2600 02/07/03 total 50906 warning. simple physics turned on for photons > 100 mev.

dump no. 1 on file runtpn nps = 0 coll = 0 ctm = 0.00 nrn = 0 20 warning messages so far.

Calculation No. L-003388, Rev. 0 Attachment E (Page E12 of E246)

dump no. 2 on file runtpn nps = 39549067 coll = 533589288 ctm = 60.01 nrn = 10136483958 1problem summary run terminated when 50000000 particle histories were done.

+ 04/28/09 09:48:40 c Created on: Tuesday, April 28, 2009 at 08:19 probid = 04/28/09 08:32:29 0

photon creation tracks weight energy photon loss tracks weight energy (per source particle) (per source particle) source 50000000 1.0000E+00 1.2528E+00 escape 13245901 2.5657E-01 1.4845E-01 energy cutoff 0 0. 0.

time cutoff 0 0. 0.

weight window 0 0. 0. weight window 0 0. 0.

cell importance 14756308 1.7377E-02 2.7669E-03 cell importance 4238836 1.7386E-02 2.7668E-03 weight cutoff 0 0. 0. weight cutoff 0 0. 0.

e or t importance 0 0. 0. e or t importance 0 0. 0.

dxtran 0 0. 0. dxtran 0 0. 0.

forced collisions 0 0. 0. forced collisions 0 0. 0.

exp. transform 0 0. 0. exp. transform 0 0. 0.

from neutrons 0 0. 0. compton scatter 0 0. 1.0666E+00 bremsstrahlung 0 0. 0. capture 48715034 7.5003E-01 3.7612E-02 p-annihilation 38924 7.1548E-04 3.6562E-04 pair production 19462 3.5774E-04 4.6771E-04 photonuclear 0 0. 0. photonuclear abs 0 0. 0.

electron x-rays 0 0. 0.

1st fluorescence 1424001 6.2447E-03 2.5688E-05 2nd fluorescence 0 0. 0.

total 66219233 1.0243E+00 1.2559E+00 total 66219233 1.0243E+00 1.2559E+00 number of photons banked 14775770 average time of (shakes) cutoffs photon tracks per source particle 1.3244E+00 escape 4.8880E-01 tco 1.0000E+33 photon collisions per source particle 1.3491E+01 capture 4.7059E-01 eco 1.0000E-03 total photon collisions 674570320 capture or escape 4.7523E-01 wc1 -5.0000E-01 any termination 4.7793E-01 wc2 -2.5000E-01 computer time so far in this run 76.22 minutes maximum number ever in bank 11 computer time in mcrun 75.94 minutes bank overflows to backup file 0 source particles per minute 6.5840E+05 random numbers generated 12814030082 most random numbers used was 259770 in history 38746633 warning. random number stride 152917 exceeded 1 times.

range of sampled source weights = 1.0000E+00 to 1.0000E+00 source efficiency = 0.0360 in cell 1 Calculation No. L-003388, Rev. 0 Attachment E (Page E13 of E246)

source efficiency = 0.0359 in cell 2 source efficiency = 0.0360 in cell 3 source efficiency = 0.0360 in cell 4 source efficiency = 0.0360 in cell 5 source efficiency = 0.0360 in cell 6 source efficiency = 0.0360 in cell 8 source efficiency = 0.0359 in cell 9 source efficiency = 0.0360 in cell 10 source efficiency = 0.0360 in cell 11 source efficiency = 0.0360 in cell 12 source efficiency = 0.0360 in cell 13 source efficiency = 0.0360 in cell 14 1photon activity in each cell print table 126 tracks population collisions collisions number flux average average cell entering

weight weighted weighted track weight track mfp (per history) energy energy (relative) (cm) 1 1 4627013 4501120 42252000 8.4504E-01 4.4272E-01 4.4272E-01 1.0000E+00 9.8398E+00 2 2 4945633 4769245 44423490 8.8847E-01 4.3607E-01 4.3607E-01 1.0000E+00 9.7698E+00 3 3 4953336 4776067 44486428 8.8973E-01 4.3560E-01 4.3560E-01 1.0000E+00 9.7648E+00 4 4 4945668 4768540 44389879 8.8780E-01 4.3580E-01 4.3580E-01 1.0000E+00 9.7667E+00 5 5 4945560 4769179 44433684 8.8867E-01 4.3597E-01 4.3597E-01 1.0000E+00 9.7690E+00 6 6 4622943 4496651 42195097 8.4390E-01 4.4270E-01 4.4270E-01 1.0000E+00 9.8399E+00 7 8 4441576 4337657 40931993 8.1864E-01 4.4570E-01 4.4570E-01 1.0000E+00 9.8699E+00 8 9 5004406 4800719 44718176 8.9436E-01 4.3319E-01 4.3319E-01 1.0000E+00 9.7382E+00 9 10 5079132 4869469 45186873 9.0374E-01 4.3167E-01 4.3167E-01 1.0000E+00 9.7222E+00 10 11 5082877 4873016 45227231 9.0454E-01 4.3155E-01 4.3155E-01 1.0000E+00 9.7206E+00 11 12 5076311 4867301 45194000 9.0388E-01 4.3163E-01 4.3163E-01 1.0000E+00 9.7217E+00 12 13 5008676 4805132 44741220 8.9482E-01 4.3322E-01 4.3322E-01 1.0000E+00 9.7386E+00 13 14 4439386 4335683 40904421 8.1809E-01 4.4565E-01 4.4565E-01 1.0000E+00 9.8696E+00 14 15 26125964 19549100 387206 7.7441E-03 4.9178E-01 4.9178E-01 1.0000E+00 8.6625E+03 15 16 8775061 8123253 27183037 2.7183E-01 4.2782E-01 4.2782E-01 1.0000E+00 4.0102E+00 16 17 6096281 5547952 19826364 9.9132E-02 3.8846E-01 3.8846E-01 1.0000E+00 3.8859E+00 17 18 4734507 4310725 15419230 3.8548E-02 3.6696E-01 3.6696E-01 1.0000E+00 3.8001E+00 18 19 3660357 3333582 11942287 1.4928E-02 3.5332E-01 3.5332E-01 1.0000E+00 3.7445E+00 Calculation No. L-003388, Rev. 0 Attachment E (Page E14 of E246)

19 20 2814287 2564439 9184355 5.7402E-03 3.4435E-01 3.4435E-01 1.0000E+00 3.7081E+00 20 21 2150898 1960346 7029289 2.1967E-03 3.3756E-01 3.3756E-01 1.0000E+00 3.6801E+00 21 22 1635164 1491239 5347347 8.3552E-04 3.3208E-01 3.3208E-01 1.0000E+00 3.6566E+00 22 23 1238910 1129604 4050718 3.1646E-04 3.2866E-01 3.2866E-01 1.0000E+00 3.6423E+00 23 24 930993 849931 3051493 1.1920E-04 3.2602E-01 3.2602E-01 1.0000E+00 3.6322E+00 24 25 630640 603908 2064502 4.0322E-05 3.3970E-01 3.3970E-01 1.0000E+00 3.7128E+00 total 121965579 110433858 674570320 1.1823E+01 1tally 2 nps = 50000000 tally type 2 particle flux averaged over a surface.

tally for photons this tally is modified by a dose function.

areas surface: 17 18 19 20 21 22 23 segment 1 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 2 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 3 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 4 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 5 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 6 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 7 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 8 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 9 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 10 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 11 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 12 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 13 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 14 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 15 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 16 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 17 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 18 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 19 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 20 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 21 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 22 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 23 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 24 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 25 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 26 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 27 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 surface: 24 25 26 27 segment 1 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 Calculation No. L-003388, Rev. 0 Attachment E (Page E15 of E246)

2 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 3 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 4 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 5 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 6 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 7 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 8 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 9 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 10 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 11 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 12 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 13 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 14 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 15 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 16 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 17 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 18 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 19 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 20 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 21 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 22 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 23 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 24 2.32258E+04 2.32258E+04 2.32258E+04 2.32258E+04 25 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 26 1.74193E+04 1.74193E+04 1.74193E+04 1.74193E+04 27 2.93903E+04 2.93903E+04 2.93903E+04 2.93903E+04 surface 17 segment: -100 1.91610E-13 0.0042 surface 17 segment: 100 -103 2.65408E-13 0.0043 surface 17 segment: 100 103 -106 2.95545E-13 0.0040 surface 17 segment: 100 103 106 -110 3.24736E-13 0.0034 surface 17 segment: 100 103 106 110 -113 3.31745E-13 0.0039 surface 17 Calculation No. L-003388, Rev. 0 Attachment E (Page E16 of E246)

segment: 100 103 106 110 113 -116 3.43221E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 -119 3.43495E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 -123 3.48849E-13 0.0033 surface 17 segment: 100 103 106 110 113 116 119 123 -126 3.47302E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 -129 3.50775E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 -132 3.47050E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 3.51878E-13 0.0034 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 3.47372E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 3.54839E-13 0.0040 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 3.47556E-13 0.0040 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 3.51477E-13 0.0034 Calculation No. L-003388, Rev. 0 Attachment E (Page E17 of E246)

surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 3.46665E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 3.54954E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 3.45345E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 3.47389E-13 0.0034 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 3.42259E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 3.44524E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 3.32075E-13 0.0039 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 3.24822E-13 0.0034 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 2.98015E-13 0.0041 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 Calculation No. L-003388, Rev. 0 Attachment E (Page E18 of E246)

136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 2.64959E-13 0.0043 surface 17 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 1.94577E-13 0.0042 surface 18 segment: -100 6.41672E-14 0.0053 surface 18 segment: 100 -103 9.48332E-14 0.0056 surface 18 segment: 100 103 -106 1.03730E-13 0.0054 surface 18 segment: 100 103 106 -110 1.09857E-13 0.0045 surface 18 segment: 100 103 106 110 -113 1.09892E-13 0.0053 surface 18 segment: 100 103 106 110 113 -116 1.11150E-13 0.0051 surface 18 segment: 100 103 106 110 113 116 -119 1.11402E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 -123 1.12120E-13 0.0045 surface 18 segment: 100 103 106 110 113 116 119 123 -126 1.12058E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 123 126 -129 Calculation No. L-003388, Rev. 0 Attachment E (Page E19 of E246)

1.12369E-13 0.0051 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 -132 1.11646E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 1.11586E-13 0.0045 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 1.11843E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 1.12728E-13 0.0051 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 1.10565E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 1.11342E-13 0.0045 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 1.10725E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 1.13338E-13 0.0051 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 1.11088E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 Calculation No. L-003388, Rev. 0 Attachment E (Page E20 of E246)

136 139 142 145 149 152 155 158 -162 1.12317E-13 0.0045 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 1.11965E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 1.13243E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 1.10318E-13 0.0052 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 1.09389E-13 0.0046 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 1.03264E-13 0.0053 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 9.40265E-14 0.0056 surface 18 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 6.45471E-14 0.0053 surface 19 segment: -100 2.36205E-14 0.0067 surface 19 segment: 100 -103 3.50640E-14 0.0070 Calculation No. L-003388, Rev. 0 Attachment E (Page E21 of E246)

surface 19 segment: 100 103 -106 3.78779E-14 0.0067 surface 19 segment: 100 103 106 -110 3.96490E-14 0.0057 surface 19 segment: 100 103 106 110 -113 3.98835E-14 0.0065 surface 19 segment: 100 103 106 110 113 -116 4.05773E-14 0.0065 surface 19 segment: 100 103 106 110 113 116 -119 4.02412E-14 0.0065 surface 19 segment: 100 103 106 110 113 116 119 -123 4.02766E-14 0.0056 surface 19 segment: 100 103 106 110 113 116 119 123 -126 4.02946E-14 0.0065 surface 19 segment: 100 103 106 110 113 116 119 123 126 -129 4.08950E-14 0.0065 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 -132 4.01981E-14 0.0065 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 4.01472E-14 0.0057 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 4.07177E-14 0.0065 surface 19 Calculation No. L-003388, Rev. 0 Attachment E (Page E22 of E246)

segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 4.05196E-14 0.0065 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 3.98962E-14 0.0065 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 4.02704E-14 0.0056 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 4.02114E-14 0.0065 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 4.10185E-14 0.0064 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 4.01146E-14 0.0064 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 4.06982E-14 0.0057 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 4.09005E-14 0.0065 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 4.10222E-14 0.0064 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 3.97400E-14 0.0066 Calculation No. L-003388, Rev. 0 Attachment E (Page E23 of E246)

surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 3.98241E-14 0.0057 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 3.81863E-14 0.0067 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 3.48678E-14 0.0070 surface 19 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 2.38422E-14 0.0066 surface 20 segment: -100 8.75694E-15 0.0082 surface 20 segment: 100 -103 1.32166E-14 0.0085 surface 20 segment: 100 103 -106 1.41828E-14 0.0082 surface 20 segment: 100 103 106 -110 1.46413E-14 0.0070 surface 20 segment: 100 103 106 110 -113 1.48206E-14 0.0080 surface 20 segment: 100 103 106 110 113 -116 1.49381E-14 0.0080 Calculation No. L-003388, Rev. 0 Attachment E (Page E24 of E246)

surface 20 segment: 100 103 106 110 113 116 -119 1.49376E-14 0.0080 surface 20 segment: 100 103 106 110 113 116 119 -123 1.49077E-14 0.0070 surface 20 segment: 100 103 106 110 113 116 119 123 -126 1.50374E-14 0.0080 surface 20 segment: 100 103 106 110 113 116 119 123 126 -129 1.52459E-14 0.0079 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 -132 1.50472E-14 0.0080 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 1.48798E-14 0.0070 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 1.50324E-14 0.0080 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 1.49612E-14 0.0080 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 1.47501E-14 0.0080 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 1.49712E-14 0.0070 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 Calculation No. L-003388, Rev. 0 Attachment E (Page E25 of E246)

1.49179E-14 0.0080 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 1.51744E-14 0.0079 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 1.49407E-14 0.0080 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 1.50871E-14 0.0070 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 1.52334E-14 0.0080 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 1.51514E-14 0.0079 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 1.46782E-14 0.0081 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 1.48120E-14 0.0070 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 1.42695E-14 0.0082 surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 1.31986E-14 0.0086 Calculation No. L-003388, Rev. 0 Attachment E (Page E26 of E246)

surface 20 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 8.87187E-15 0.0082 surface 21 segment: -100 3.33511E-15 0.0099 surface 21 segment: 100 -103 5.01574E-15 0.0104 surface 21 segment: 100 103 -106 5.42790E-15 0.0100 surface 21 segment: 100 103 106 -110 5.45162E-15 0.0086 surface 21 segment: 100 103 106 110 -113 5.49162E-15 0.0098 surface 21 segment: 100 103 106 110 113 -116 5.52684E-15 0.0097 surface 21 segment: 100 103 106 110 113 116 -119 5.61135E-15 0.0097 surface 21 segment: 100 103 106 110 113 116 119 -123 5.55819E-15 0.0085 surface 21 segment: 100 103 106 110 113 116 119 123 -126 5.61424E-15 0.0096 surface 21 segment: 100 103 106 110 113 116 119 123 126 -129 5.70165E-15 0.0096 surface 21 Calculation No. L-003388, Rev. 0 Attachment E (Page E27 of E246)

segment: 100 103 106 110 113 116 119 123 126 129 -132 5.60287E-15 0.0097 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 5.55536E-15 0.0085 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 5.61392E-15 0.0097 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 5.58877E-15 0.0097 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 5.51067E-15 0.0097 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 5.60088E-15 0.0085 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 5.62185E-15 0.0097 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 5.67706E-15 0.0096 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 5.57109E-15 0.0096 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 5.63462E-15 0.0085 Calculation No. L-003388, Rev. 0 Attachment E (Page E28 of E246)

surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 5.65674E-15 0.0096 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 5.69659E-15 0.0096 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 5.53926E-15 0.0097 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 5.51749E-15 0.0085 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 5.38596E-15 0.0099 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 4.97551E-15 0.0104 surface 21 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 3.34669E-15 0.0099 surface 22 segment: -100 1.25075E-15 0.0120 surface 22 segment: 100 -103 1.87987E-15 0.0124 surface 22 segment: 100 103 -106 Calculation No. L-003388, Rev. 0 Attachment E (Page E29 of E246)

2.04172E-15 0.0118 surface 22 segment: 100 103 106 -110 2.03747E-15 0.0104 surface 22 segment: 100 103 106 110 -113 2.02440E-15 0.0116 surface 22 segment: 100 103 106 110 113 -116 2.06973E-15 0.0116 surface 22 segment: 100 103 106 110 113 116 -119 2.09522E-15 0.0116 surface 22 segment: 100 103 106 110 113 116 119 -123 2.09226E-15 0.0101 surface 22 segment: 100 103 106 110 113 116 119 123 -126 2.13139E-15 0.0118 surface 22 segment: 100 103 106 110 113 116 119 123 126 -129 2.15215E-15 0.0115 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 -132 2.08860E-15 0.0116 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 2.09377E-15 0.0103 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 2.14158E-15 0.0115 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 2.06541E-15 0.0116 Calculation No. L-003388, Rev. 0 Attachment E (Page E30 of E246)

surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 2.09187E-15 0.0118 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 2.11093E-15 0.0103 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 2.09284E-15 0.0116 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 2.12432E-15 0.0116 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 2.07278E-15 0.0116 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 2.11335E-15 0.0103 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 2.14727E-15 0.0116 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 2.11859E-15 0.0116 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 2.06927E-15 0.0116 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 Calculation No. L-003388, Rev. 0 Attachment E (Page E31 of E246)

136 139 142 145 149 152 155 158 162 165 168 171 -175 2.09663E-15 0.0103 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 2.01775E-15 0.0119 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 1.89315E-15 0.0124 surface 22 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 1.25771E-15 0.0119 surface 23 segment: -100 4.68339E-16 0.0143 surface 23 segment: 100 -103 6.98891E-16 0.0147 surface 23 segment: 100 103 -106 7.66292E-16 0.0142 surface 23 segment: 100 103 106 -110 7.48225E-16 0.0123 surface 23 segment: 100 103 106 110 -113 7.60416E-16 0.0138 surface 23 segment: 100 103 106 110 113 -116 7.73869E-16 0.0142 surface 23 segment: 100 103 106 110 113 116 -119 7.76134E-16 0.0136 Calculation No. L-003388, Rev. 0 Attachment E (Page E32 of E246)

surface 23 segment: 100 103 106 110 113 116 119 -123 7.75263E-16 0.0120 surface 23 segment: 100 103 106 110 113 116 119 123 -126 7.90336E-16 0.0137 surface 23 segment: 100 103 106 110 113 116 119 123 126 -129 7.93576E-16 0.0136 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 -132 7.81699E-16 0.0138 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 7.73078E-16 0.0121 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 8.04938E-16 0.0137 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 7.69694E-16 0.0137 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 7.92249E-16 0.0140 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 7.82799E-16 0.0122 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 7.70537E-16 0.0137 surface 23 Calculation No. L-003388, Rev. 0 Attachment E (Page E33 of E246)

segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 7.95161E-16 0.0138 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 7.81448E-16 0.0139 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 8.02868E-16 0.0122 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 8.01151E-16 0.0138 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 7.94847E-16 0.0137 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 7.75272E-16 0.0137 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 7.88146E-16 0.0122 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 7.72310E-16 0.0140 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 7.18788E-16 0.0145 surface 23 segment: 100 103 106 110 113 116 119 123 126 129 132 Calculation No. L-003388, Rev. 0 Attachment E (Page E34 of E246)

136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 4.71846E-16 0.0143 surface 24 segment: -100 1.75335E-16 0.0168 surface 24 segment: 100 -103 2.67606E-16 0.0174 surface 24 segment: 100 103 -106 2.86650E-16 0.0167 surface 24 segment: 100 103 106 -110 2.80925E-16 0.0145 surface 24 segment: 100 103 106 110 -113 2.88271E-16 0.0164 surface 24 segment: 100 103 106 110 113 -116 2.85312E-16 0.0166 surface 24 segment: 100 103 106 110 113 116 -119 2.97010E-16 0.0162 surface 24 segment: 100 103 106 110 113 116 119 -123 2.91658E-16 0.0143 surface 24 segment: 100 103 106 110 113 116 119 123 -126 2.95306E-16 0.0164 surface 24 segment: 100 103 106 110 113 116 119 123 126 -129 2.95031E-16 0.0162 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 -132 2.96595E-16 0.0164 Calculation No. L-003388, Rev. 0 Attachment E (Page E35 of E246)

surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 2.89352E-16 0.0145 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 2.95120E-16 0.0161 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 2.92651E-16 0.0164 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 2.92982E-16 0.0165 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 2.97408E-16 0.0145 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 2.91469E-16 0.0161 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 2.94679E-16 0.0163 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 2.89359E-16 0.0163 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 2.97299E-16 0.0144 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 Calculation No. L-003388, Rev. 0 Attachment E (Page E36 of E246)

3.04900E-16 0.0164 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 2.99229E-16 0.0162 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 2.97696E-16 0.0164 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 2.94460E-16 0.0144 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 2.90003E-16 0.0164 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 2.73723E-16 0.0172 surface 24 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 1.77536E-16 0.0169 surface 25 segment: -100 6.45424E-17 0.0199 surface 25 segment: 100 -103 1.00662E-16 0.0204 surface 25 segment: 100 103 -106 1.06277E-16 0.0194 surface 25 Calculation No. L-003388, Rev. 0 Attachment E (Page E37 of E246)

segment: 100 103 106 -110 1.05664E-16 0.0173 surface 25 segment: 100 103 106 110 -113 1.06587E-16 0.0195 surface 25 segment: 100 103 106 110 113 -116 1.07346E-16 0.0194 surface 25 segment: 100 103 106 110 113 116 -119 1.11409E-16 0.0193 surface 25 segment: 100 103 106 110 113 116 119 -123 1.06823E-16 0.0170 surface 25 segment: 100 103 106 110 113 116 119 123 -126 1.09553E-16 0.0193 surface 25 segment: 100 103 106 110 113 116 119 123 126 -129 1.10558E-16 0.0193 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 -132 1.09859E-16 0.0189 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 1.06850E-16 0.0172 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 1.14010E-16 0.0190 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 1.11805E-16 0.0193 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 Calculation No. L-003388, Rev. 0 Attachment E (Page E38 of E246)

136 139 142 -145 1.11214E-16 0.0195 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 1.11220E-16 0.0169 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 1.09337E-16 0.0192 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 1.10751E-16 0.0191 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 1.09620E-16 0.0192 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 1.12651E-16 0.0169 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 1.12291E-16 0.0193 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 1.12004E-16 0.0190 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 1.11113E-16 0.0191 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 1.10803E-16 0.0170 Calculation No. L-003388, Rev. 0 Attachment E (Page E39 of E246)

surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 1.11169E-16 0.0194 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 1.02642E-16 0.0201 surface 25 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 6.74552E-17 0.0203 surface 26 segment: -100 2.38427E-17 0.0235 surface 26 segment: 100 -103 3.69434E-17 0.0238 surface 26 segment: 100 103 -106 3.96844E-17 0.0231 surface 26 segment: 100 103 106 -110 3.86344E-17 0.0207 surface 26 segment: 100 103 106 110 -113 4.02738E-17 0.0230 surface 26 segment: 100 103 106 110 113 -116 3.99277E-17 0.0231 surface 26 segment: 100 103 106 110 113 116 -119 4.13877E-17 0.0226 surface 26 segment: 100 103 106 110 113 116 119 -123 Calculation No. L-003388, Rev. 0 Attachment E (Page E40 of E246)

3.99916E-17 0.0200 surface 26 segment: 100 103 106 110 113 116 119 123 -126 4.01218E-17 0.0226 surface 26 segment: 100 103 106 110 113 116 119 123 126 -129 4.18307E-17 0.0226 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 -132 4.13653E-17 0.0223 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 3.99216E-17 0.0196 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 4.14339E-17 0.0220 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 4.23917E-17 0.0229 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 4.07998E-17 0.0231 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 4.09000E-17 0.0200 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 4.04215E-17 0.0227 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 4.22418E-17 0.0221 Calculation No. L-003388, Rev. 0 Attachment E (Page E41 of E246)

surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 3.96245E-17 0.0227 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 4.16267E-17 0.0195 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 4.19141E-17 0.0226 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 4.17320E-17 0.0225 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 4.06700E-17 0.0226 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 4.07569E-17 0.0201 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 4.10257E-17 0.0229 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 3.79040E-17 0.0236 surface 26 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 2.46554E-17 0.0236 Calculation No. L-003388, Rev. 0 Attachment E (Page E42 of E246)

surface 27 segment: -100 7.36836E-18 0.0275 surface 27 segment: 100 -103 1.11252E-17 0.0281 surface 27 segment: 100 103 -106 1.16756E-17 0.0268 surface 27 segment: 100 103 106 -110 1.16485E-17 0.0241 surface 27 segment: 100 103 106 110 -113 1.21895E-17 0.0275 surface 27 segment: 100 103 106 110 113 -116 1.22330E-17 0.0279 surface 27 segment: 100 103 106 110 113 116 -119 1.23834E-17 0.0272 surface 27 segment: 100 103 106 110 113 116 119 -123 1.18787E-17 0.0239 surface 27 segment: 100 103 106 110 113 116 119 123 -126 1.21972E-17 0.0271 surface 27 segment: 100 103 106 110 113 116 119 123 126 -129 1.27758E-17 0.0263 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 -132 1.22993E-17 0.0270 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132

-136 Calculation No. L-003388, Rev. 0 Attachment E (Page E43 of E246)

1.23164E-17 0.0234 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 -139 1.26351E-17 0.0257 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 -142 1.27528E-17 0.0269 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 -145 1.24222E-17 0.0264 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 -149 1.24439E-17 0.0238 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 -152 1.16720E-17 0.0274 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 -155 1.27015E-17 0.0262 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 -158 1.17748E-17 0.0274 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 -162 1.24855E-17 0.0235 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 -165 1.23509E-17 0.0265 surface 27 Calculation No. L-003388, Rev. 0 Attachment E (Page E44 of E246)

segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 -168 1.28791E-17 0.0267 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 -171 1.25578E-17 0.0266 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 -175 1.22650E-17 0.0235 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175

-178 1.24152E-17 0.0264 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 -181 1.13571E-17 0.0285 surface 27 segment: 100 103 106 110 113 116 119 123 126 129 132 136 139 142 145 149 152 155 158 162 165 168 171 175 178 181 7.47001E-18 0.0276

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

results of 10 statistical checks for the estimated answer for the tally fluctuation chart (tfc) bin of tally 2 tfc bin --mean-- ---------relative error--------- ----variance of the variance---- --figure of merit-- -pdf-behavior behavior value decrease decrease rate value decrease decrease rate value behavior slope desired random <0.10 yes 1/sqrt(nps) <0.10 yes 1/nps constant random >3.00 observed random 0.00 yes yes 0.00 yes yes constant random 10.00 passed? yes yes yes yes yes yes yes yes yes yes

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

this tally meets the statistical criteria used to form confidence intervals: check the tally fluctuation chart to verify.

Calculation No. L-003388, Rev. 0 Attachment E (Page E45 of E246)

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

estimated confidence intervals: -----

estimated asymmetric confidence interval(1,2,3 sigma): 1.9376E-13 to 1.9540E-13; 1.9294E-13 to 1.9622E-13; 1.9212E-13 to 1.9704E-13 estimated symmetric confidence interval(1,2,3 sigma): 1.9376E-13 to 1.9540E-13; 1.9294E-13 to 1.9622E-13; 1.9212E-13 to 1.9704E-13 1analysis of the results in the tally fluctuation chart bin (tfc) for tally 2 with nps = 50000000 print table 160 normed average tally per history = 1.94577E-13 unnormed average tally per history = 5.71868E-09 estimated tally relative error = 0.0042 estimated variance of the variance = 0.0003 relative error from zero tallies = 0.0028 relative error from nonzero scores = 0.0031 number of nonzero history tallies = 123668 efficiency for the nonzero tallies = 0.0025 history number of largest tally = 40823750 largest unnormalized history tally = 7.94598E-05 (largest tally)/(average tally) = 1.38948E+04 (largest tally)/(avg nonzero tally)= 3.43668E+01 (confidence interval shift)/mean = 0.0000 shifted confidence interval center = 1.94581E-13 if the largest history score sampled so far were to occur on the next history, the tfc bin quantities would change as follows:

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

mean 1.94577E-13 1.94631E-13 0.000278 relative error 4.21539E-03 4.22337E-03 0.001892 variance of the variance 2.85370E-04 3.01625E-04 0.056961 shifted center 1.94581E-13 1.94581E-13 0.000000 figure of merit 7.41048E+02 7.38252E+02 -0.003773 the estimated slope of the 200 largest tallies starting at 2.20948E-05 appears to be decreasing at least exponentially.

the empirical history score probability density function appears to be increasing at the largest history scores:

please examine. see print table 161.

the large score tail of the empirical history score probability density function appears to have no unsampled regions.

fom = (histories/minute)*(f(x) signal-to-noise ratio)**2 = (6.584E+05)*( 3.355E-02)**2 = (6.584E+05)*(1.126E-03) = 7.410E+02 1status of the statistical checks used to form confidence intervals for the mean for each tally bin tally result of statistical checks for the tfc bin (the first check not passed is listed) and error magnitude check for all bins 2 passed the 10 statistical checks for the tally fluctuation chart bin result passed all bin error check: 297 tally bins all have relative errors less than 0.10 with no zero bins the 10 statistical checks are only for the tally fluctuation chart bin and do not apply to other tally bins.

Calculation No. L-003388, Rev. 0 Attachment E (Page E46 of E246)

1tally fluctuation charts tally 2 nps mean error vov slope fom 4096000 1.9311E-13 0.0151 0.0033 4.0 709 8192000 1.9344E-13 0.0106 0.0017 4.0 720 12288000 1.9384E-13 0.0086 0.0011 3.7 729 16384000 1.9466E-13 0.0074 0.0008 4.2 738 20480000 1.9429E-13 0.0065 0.0006 4.9 754 24576000 1.9430E-13 0.0060 0.0005 5.5 756 28672000 1.9504E-13 0.0055 0.0004 4.6 756 32768000 1.9498E-13 0.0052 0.0004 10.0 751 36864000 1.9509E-13 0.0049 0.0004 10.0 744 40960000 1.9511E-13 0.0047 0.0004 10.0 739 45056000 1.9511E-13 0.0044 0.0003 10.0 740 49152000 1.9462E-13 0.0042 0.0003 10.0 742 50000000 1.9458E-13 0.0042 0.0003 10.0 741 dump no. 3 on file runtpn nps = 50000000 coll = 674570320 ctm = 75.94 nrn = 12814030082 21 warning messages so far.

run terminated when 50000000 particle histories were done.

computer time = 76.22 minutes mcnp version 5 07-10-03 04/28/09 09:48:40 probid = 04/28/09 08:32:29 Calculation No. L-003388, Rev. 0 Attachment E (Page E47 of E246)

Thread Name & Version = mcnp5_RSICC, 4.23

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

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1mcnp version 5 ld=07-10-03 04/28/09 23:06:49

- - - - probid = 04/28/09 23:06:49 inp = TidDB outp = TidDB.o 1- c Created on: Tuesday, April 28, 2009 at 08:19 2- 1 280 -0.9 -1 15 -16 3- 2 280 -0.9 -2 15 -16 4- 3 280 -0.9 -3 15 -16 5- 4 280 -0.9 -4 15 -16 6- 5 280 -0.9 -5 15 -16 7- 6 280 -0.9 -6 15 -16 8- 8 280 -0.9 -8 15 -16 9- 9 280 -0.9 -9 15 -16 10- 10 280 -0.9 -10 15 -16 11- 11 280 -0.9 -11 15 -16 12- 12 280 -0.9 -12 15 -16 13- 13 280 -0.9 -13 15 -16 14- 14 280 -0.9 -14 15 -16 15- 15 204 -0.0012 29 -30 28 -17 15 -16 #1 #2 #3 #4 #5 #6 #8 #9 #10 #11 #12 16- #13 #14 17- 16 228 -2.366 29 -30 17 -18 15 -16 18- 17 228 -2.366 29 -30 18 -19 15 -16 19- 18 228 -2.366 29 -30 19 -20 15 -16 20- 19 228 -2.366 29 -30 20 -21 15 -16 21- 20 228 -2.366 29 -30 21 -22 15 -16 22- 21 228 -2.366 29 -30 22 -23 15 -16 23- 22 228 -2.366 29 -30 23 -24 15 -16 24- 23 228 -2.366 29 -30 24 -25 15 -16 25- 24 228 -2.366 29 -30 25 -26 15 -16 26- 25 228 -2.366 29 -30 26 -27 15 -16 Calculation No. L-003388, Rev. 0 Attachment E (Page E48 of E246)

27- 26 0 -29 :30 :-28 :27 :-15 :16 28-29- 1 c/z 99.06 0 76.2 30- 2 c/z 297.18 0 76.2 31- 3 c/z 495.3 0 76.2 32- 4 c/z 693.42 0 76.2 33- 5 c/z 891.54 0 76.2 34- 6 c/z 1089.66 0 76.2 35- 8 c/z 0 172.72 76.2 36- 9 c/z 198.12 172.72 76.2 37- 10 c/z 396.24 172.72 76.2 38- 11 c/z 594.36 172.72 76.2 39- 12 c/z 792.48 172.72 76.2 40- 13 c/z 990.6 172.72 76.2 41- 14 c/z 1188.72 172.72 76.2 42- 15 pz 0 43- 16 pz 381 44- 17 py 294.64 45- 18 py 302.26 46- 19 py 309.88 47- 20 py 317.5 48- 21 py 325.12 49- 22 py 332.74 50- 23 py 340.36 51- 24 py 347.98 52- 25 py 355.6 53- 26 py 363.22 54- 27 py 370.84 55- 28 py -100 56- 29 px -100 57- 30 px 1288.72 58- 100 px -22.86 59- 103 px 22.86 60- 106 px 68.58 61- 110 px 129.54 62- 113 px 175.26 63- 116 px 220.98 64- 119 px 266.7 65- 123 px 327.66 66- 126 px 373.38 67- 129 px 419.1 68- 132 px 464.82 69- 136 px 525.78 70- 139 px 571.5 71- 142 px 617.22 72- 145 px 662.94 73- 149 px 723.9 74- 152 px 769.62 Calculation No. L-003388, Rev. 0 Attachment E (Page E49 of E246)