Version 1.0 Mar. 8, 1994 IAEA Benchmark Problem Based on the Time-of-Flight Experiment on Liquid Oxygen Slabs at FNS/JAERI Yukio OYAMA and Hiroshi MAEKAWA Fusion Reactor Physics Laboratory Department of Reactor Engineering Japan Atomic Energy Research Institute Tokai-mura, Naka-gun, Ibaraki-ken, 319-11 Japan (Phone) 81-292-82-6075 (for Y.O.) or -6015 (for H.M.) (Telefax) 81-292-82-5709 (e-mail) oyama@fnshp.tokai.jaeri.go.jp (for Y.O.) or maekawa@fnshp.tokai.jaeri.go.jp (for H.M.) 1. Numerical Data and Their Format a) Files: LQOTG.DAT ------ Source neutron spectrum LQO20.DAT ------ 200 mm-thick angular neutron flux ENERGY.DAT ---- Boundary energy b) Units of the data Source spectrum [n/sr/lethargy/source] Angular flux [n/sr/cm2/lethargy/source] c) Data format for experimental data Comment 1 line 20A4 Energy (mid-point) [MeV] I = 1, 150 6E12.4 Angular flux [See above] I = 1, 150 6E12.4 Error (fraction) [%] I = 1, 150 6E12.4 d) Number of data set LQOTG.DAT 1 0 degree LQO20.DAT 5 0, 12.2, 24.9, 42.8, 66.8 degrees e) Data format for boundary energy (ENERGY.DAT) Comment 1 line 20A4 Boundary energy [MeV] I = 1, 151 8F9.5 2. Flight Path and Effective Measured Area The flight path and effective measured area are summarized as follows. The meaning of them is described in the references. These data are useful for Monte Carlo calculations. Table Flight path and measured area 200 mm-thick Assembly ---------------------------------------------- Angle Flight Path [cm] Measured Area [cm**2] ---------------------------------------------- 0.0 723 82.42 12.2 724 82.65 24.9 726 83.11 41.8 732 84.49 66.8 746 87.72 ---------------------------------------------- 3. Calculational Model The calculational model depends of course on the code used. The liquid slab assembly has a rather complicated structure because of usage of vacuum thermal insulating container. The detail should be refered in the attached Monte Carlo Model or figures. Basic data are as follows: Radius of assembly : 30 cm Thickness of assembly : 20 cm Distance between target and assembly : 20 cm Atom density [10**24 atoms/cm**3] : Oxygen : 4.2947-2 Area of detector : (pai)x2.54**2 [cm**2] 4. How to Calculate the Angular Flux (1) Neutron source You can use the data of "PBTG.DAT" as the source. Before you start the calculation you should interpolate the spectrum to adjust it to the group structure used. It is notable that the integrated source spectrum multiplied by 4x(pai) is not unity (1.0) but about 1.1261. The source neutrons are generated isotropically at the target position. (2) Two-demensional discrete ordinate code such as DOT3.5 You can easily understand from the reference 4) how to do. It is important to average over the measured area when the calculated angular flux is compared with the measured one. (3) Monte Carlo calculation You can see a sample of method in the reference 1). 6. References When you publish the results using this numerical data, you should refer the following reference 7). 1) Oyama Y., Maekawa H.: "Measurement and Analysis of an Angular Neutron Flux on a Beryllium Slab Irradiated with Deuteron-Tritium Neutrons," Nucl. Sci. Eng., 97, 220-234 (1987). 2) Oyama Y., Yamaguchi S., Maekawa H.: "Experimental Results of Angular Neutron Flux Spectra Leaking from Slabs of Fusion Reactor Candidate Materials (I)," JAERI-M 90-092 (1990). 3) Oyama Y., Maekawa H.: "Measurements of Angle-Dependent Neutron Spectra from Lithium-Oxide Slab Assemblies by Time-of-Flight Method," JAERI-M 83-195 (Nov. 1983). 4) Oyama Y., Yamaguchi S., Maekawa H.: "Analysis of Time-of-Flight Experiment on Lithium-Oxide Assemblies by a Two-Dimensional Transport Code DOT3.5," JAERI-M 85-031 (March 1985). 5) Oyama Y., Maekawa H.: "Spectral Measurement of Angular Neutron Flux on the Restricted Surface of Slab Assemblies by the Time-of-Flight Method," Nucl. Instr. Methods, A245 173-181 (1986). 6) Oyama Y., Yamaguchi S., Maekawa H.: "Measurements and Analyses of Angular Neutron Flux Spectra on Graphite and Lithium-Oxide Slabs Irradiated with 14.8 MeV Neutrons," J. Nucl. Sci. Technol., 25, 419-428 (1988). 7) Oyama Y., Kosako K., Maekawa H.: "Measurements and Analyses of Angular Neutron Flux Spectra on Liquid Nitrogen, Liquid Oxygen and Iron Slabs," Proc. Int'l Conf. on Nuclear Data for Science and Technology, 13-17 May, Juelich (1991). 8) Oyama Y., Kosako K., Maekawa H.: "Measurement and Calculations of Angular Neutron Flux Spectra Leaking from Slabs Bombarded with !4.8 MeV Neutrons," Nucl. Sci. Eng., 115, 24-37 (1993) 9) Oyama Y., Maekawa H.: "Experimental Results of Angular Neutron Flux Spectra Leaking from Slabs of Fusion Reactor Candidated Materials (II)," To be published. Attachment 1 Example of MCNP Calculational Model FNS-TOF/ LO2 SLAB-TOF JENDL-3(N-14) '90-02-02 C ***************************************************** C * CELL CARAD * C ***************************************************** C ***************** EXTERNAL VOID ********************* 1 0 -13 : +13 -2 +14 : +34 : +2 -34 +29 +30 +31 +32 +33 2 0 -21 -2 -19 C ************** SOURCE VACUUM REGION ***************** 3 1 4.9210-5 -14 +13 -1 : -27 +1 -20 C **************** NATERIAL REGION ******************** C ----SUS316 4 2 8.5979-2 +1 -3 -14 +20 : +4 -2 -14 +19 : +3 -4 -14 +15 5 2 8.5979-2 +27 -28 -20 : +21 -22 -19 6 2 8.5979-2 +9 -11 -17 +20 : +12 -10 -17 +20 : +11 -12 -17 +18 7 2 8.5979-2 +25 -26 -20 : +23 -24 -20 C ---- VACUUM 8 0 +3 -5 -15 +20 : +6 -4 -15 +19 : +5 -6 -15 +16 9 0 +28 -5 -20 : +22 +6 -19 10 0 +7 -9 -17 +20 : +10 -8 -17 +20 11 0 +26 +7 -20 : +24 -8 -20 C ---- AL 12 3 3.6244-3 +5 -7 -16 : +8 -6 -16 : +7 -8 -16 +17 C ---- O 13 4 4.2947-2 +11 -12 -18 : -25 -11 -20 : -23 +12 -20 C ******* DETECTOR VACUUM REGION ******* 14 0 +2 -34 -29 : +2 -34 -30 : +2 -34 -31 : +2 -34 -32 : +2 -34 -33 C ------- THE FOLLOWING IS A BLANK DELIMETER C ************************************** C * SURFACE CARD * C ************************************** 1 PZ -28.0 2 PZ 0.0 3 PZ -27.5 4 PZ -0.5 5 PZ -25.90 6 PZ -2.10 7 PZ -25.20 8 PZ -2.80 9 PZ -24.80 10 PZ -3.20 11 PZ -24.0 12 PZ -4.0 13 PZ -70.0 C ------------------------------ 14 CZ 35.0 15 CZ 34.7 16 CZ 30.8 17 CZ 30.0 18 CZ 29.8 19 CZ 23.25 20 CZ 15.0 C ----- TEST ---------- 21 SZ 134.146 136.146 22 SZ 134.096 136.146 23 SZ -105.7227 102.8227 24 SZ -105.6727 102.8227 25 SZ 77.7227 102.8227 26 SZ 77.6727 102.8227 27 SZ -129.7227 102.8227 28 SZ -129.6727 102.8227 C 21 PZ -0.05 C 22 PZ -0.10 C 23 SZ -105.7227 102.8227 C 24 SZ -105.6727 102.8227 C 25 PZ -24.05 C 26 PZ -24.10 C 27 SZ -129.7227 102.8227 C 28 SZ -129.6727 102.8227 C ------------------------------ 29 CZ 4.977 30 1 CZ 4.985 31 2 CZ 5.012 32 3 CZ 5.074 33 4 CZ 5.212 34 SO 1000.0 C ------- THE FOLLOWING IS A BLANK DELIMETER C ************************************** C * MODE CARD - NEUTRON ONLY * C ************************************** MODE 0 C ************************************** C * TRANSFORMATION CARDS * C * ROTATION ABOUT THE Y AXIS BY THETA* C ************************************** *TR1 0 0 0 12.2 90 102.2 90 0 90 77.8 90 12.2 +1 *TR2 0 0 0 24.9 90 114.9 90 0 90 65.1 90 24.9 +1 *TR3 0 0 0 41.8 90 131.8 90 0 90 48.2 90 41.8 +1 *TR4 0 0 0 66.8 90 156.8 90 0 90 23.2 90 66.8 +1 C ************************************** C * CELL PARAMETER CARDS * C ************************************** IN 0 1 1 1 1 1 1 1 1 1 1 1 1 1 C **************************************************** C * SOURCE SPECIFICATION CARDS * C * SRC1=POINT ISOTROPIC OPTION * C * SDIR DIRC. BIASING - HEIGHT REDUCTION CONSIDERED* C * SI(ENG.) AND SP(PROB.) TAKEN FROM BETOF SOURCE * C * EXPT. DATA * C **************************************************** SRC1 0 0 -44.00 3 1.0 SDIR 0 0 1 1 0.3420201 SI 4.0867-02 4.6308-02 5.2474-02 5.9461-02 6.7378-02 7.6349-02 8.6515-02 9.8035-02 1.1109-01 1.2588-01 1.4264-01 1.6163-01 1.8315-01 2.0754-01 2.3517-01 2.6649-01 3.0197-01 3.4217-01 3.8774-01 4.3936-01 4.9786-01 5.6415-01 6.3927-01 7.2438-01 8.2084-01 9.3013-01 1.0540+00 1.1943+00 1.3533+00 1.5335+00 1.7377+00 1.8498+00 1.9691+00 2.0961+00 2.2313+00 2.3752+00 2.5284+00 2.6914+00 2.8650+00 3.0498+00 3.2465+00 3.4559+00 3.6787+00 3.9160+00 4.1686+00 4.4374+00 4.7236+00 5.0282+00 5.3525+00 5.6978+00 6.0652+00 6.4564+00 6.8728+00 7.3161+00 7.7879+00 8.2902+00 8.8249+00 9.3940+00 9.9999+00 1.0157+01 1.0317+01 1.0480+01 1.0645+01 1.0812+01 1.0983+01 1.1156+01 1.1331+01 1.1510+01 1.1691+01 1.1875+01 1.2062+01 1.2252+01 1.2445+01 1.2641+01 1.2840+01 1.3042+01 1.3248+01 1.3456+01 1.3668+01 1.3883+01 1.4102+01 1.4324+01 1.4550+01 1.4779+01 1.5012+01 1.5248+01 1.5488+01 1.5732+01 1.5980+01 1.6231+01 1.6487+01 SP 0 1.4214-04 2.1261-04 2.3162-04 2.1327-04 2.7087-04 2.6032-04 3.1949-04 3.7848-04 4.3099-04 4.4082-04 5.6289-04 6.0267-04 7.5334-04 8.3566-04 1.0281-03 1.1620-03 1.3881-03 1.5339-03 1.8001-03 2.0387-03 2.3534-03 2.6401-03 2.9843-03 3.2787-03 3.4783-03 3.7189-03 3.8514-03 4.0062-03 4.1197-03 1.9596-03 2.0343-03 2.0484-03 2.0263-03 1.9854-03 2.0112-03 2.0467-03 2.1441-03 2.2558-03 2.4800-03 2.0399-03 1.7933-03 1.6234-03 1.5383-03 1.4642-03 1.4261-03 1.3083-03 1.3177-03 1.1970-03 1.1469-03 1.0180-03 1.0084-03 1.0841-03 9.6395-04 9.2930-04 9.1702-04 1.1141-03 1.1989-03 3.0970-04 3.1532-04 3.2121-04 3.2516-04 3.9020-04 4.3484-04 4.3993-04 4.9814-04 5.7884-04 5.8531-04 7.1724-04 1.1255-03 1.1435-03 1.2050-03 2.3468-03 2.3827-03 2.4186-03 5.2339-03 5.8254-03 5.9374-03 2.4164-02 3.5089-02 3.5570-02 9.9593-02 1.8264-01 1.8583-01 1.6377-01 8.7669-02 8.9130-02 8.7095-02 1.0017-03 1.0217-03 0 C ********************************************* C * MATERIAL SPECIFICATION CARDS * C ********************************************* C ----- IRON (FE) ----------------------------- C --- AIR M1 7014.33C 3.8810-5 8016.33C 1.0400-5 C --- SUS316 M2 24000.04C 1.6787-2 25055.04C 1.3420-3 26000.04C 6.0507-2 28000.04C 7.3429-3 C --- AL M3 13027.33C 1.0 C --- O M4 8016.33C 1.0 C DRXS C ********************************************** C * TALLY SPECIFICATION CARDS * C ********************************************** FC5 --//FLUXES AT 5 PT DTS(TH=0.0, 12.2, 24.9, 41.8, 66.8 DEG) F5 0.0 0 703.0000 1 148.7973 0 688.2148 1 298.0163 0 642.0212 1 477.4981 0 534.0526 1 676.2307 0 289.8328 1 DD 0.5 100 E0 4.0867-02 4.6308-02 5.2474-02 5.9461-02 6.7378-02 7.6349-02 8.6515-02 9.8035-02 1.1109-01 1.2588-01 1.4264-01 1.6163-01 1.8315-01 2.0754-01 2.3517-01 2.6649-01 3.0197-01 3.4217-01 3.8774-01 4.3936-01 4.9786-01 5.6415-01 6.3927-01 7.2438-01 8.2084-01 9.3013-01 1.0540+00 1.1943+00 1.3533+00 1.5335+00 1.7377+00 1.8498+00 1.9691+00 2.0961+00 2.2313+00 2.3752+00 2.5284+00 2.6914+00 2.8650+00 3.0498+00 3.2465+00 3.4559+00 3.6787+00 3.9160+00 4.1686+00 4.4374+00 4.7236+00 5.0282+00 5.3525+00 5.6978+00 6.0652+00 6.4564+00 6.8728+00 7.3161+00 7.7879+00 8.2902+00 8.8249+00 9.3940+00 9.9999+00 1.0157+01 1.0317+01 1.0480+01 1.0645+01 1.0812+01 1.0983+01 1.1156+01 1.1331+01 1.1510+01 1.1691+01 1.1875+01 1.2062+01 1.2252+01 1.2445+01 1.2641+01 1.2840+01 1.3042+01 1.3248+01 1.3456+01 1.3668+01 1.3883+01 1.4102+01 1.4324+01 1.4550+01 1.4779+01 1.5012+01 1.5248+01 1.5488+01 1.5732+01 1.5980+01 1.6231+01 1.6487+01 FQ0 E F C ********************************************** C * ENERGY AND THERMAL CARDS * C ********************************************** ERGN 0 16.5 0 C *********************************************** C * PROBLEM CUTOFF CARDS * C *********************************************** CUTN 0 4.0000-02 -10 -0.01 NPS 1000000 CTME 120 C *********************************************** C * PERIPHERAL CRADS * C *********************************************** PRDMP 30000 30000 LOST 10 10 PRINT Attachment 2 Example Calculational Model for Two-dimensional code GRTUNCL/DOT3.5 FNS-GRTUNCL O SLAB ASSEMBLY -- N-WATER SOURCE, JENDL-3(FNS) '89-11-0100000100 O 00000300 1$$ 00000400 0 5 5 54 102 12500000506 4 5 129 78 0 30000000600 300 2 1 30000 10 000000700 1 0 18 0 0 1600000800 2** 00000900 1.1261+00 0.0 0.0 00001000 T 00001100 1** 00001200 F0.0 00001300 2** 00001400 0.0 5I1.00 2I14.00 16.00 1I16.05 16.50 00001505 1I16.55 17.00 1I17.05 2I18.05 18.95 19.00 00001605 19.20 19.45 1I19.50 19.95 49I20.00 40.00 00001705 1I40.05 40.50 40.55 40.80 41.00 2I41.05 00001808 41.95 1I42.00 42.45 1I42.50 42.95 1I43.00 00001905 43.45 1I43.50 43.95 44.00 00002005 3** 00002101 0.0 0.0 0.0 0.0 1.4419-01 2.2296-0100002800 4.0901-01 2.3565-01 3.0897-02 5.1474-03 9.5007-04 2.6083-0300003800 9.1020-04 4.6458-04 4.5938-04 5.1771-04 7.8183-04 7.4899-0400004800 4.1363-04 2.1025-04 1.6563-04 1.5985-04 1.6798-04 1.1227-0400005800 8.7841-05 8.8737-05 7.9567-05 9.3708-05 9.1407-05 9.2862-0500005900 8.2287-05 9.0768-05 3.5649-04 4.1280-04 5.1007-04 5.0750-0400006000 5.1710-04 6.2956-04 6.9228-04 7.5872-04 7.9293-04 7.9827-0400006100 8.8451-04 1.0018-03 1.0563-03 1.1937-03 1.1711-03 1.2741-0300006200 1.2861-03 1.4053-03 1.3518-03 1.4558-03 1.4329-03 1.3760-0300006300 1.4312-03 1.3820-03 1.3489-03 1.3270-03 1.4298-03 1.3898-0300006400 2.5945-03 2.8528-03 2.7699-03 2.5765-03 2.5872-03 2.5709-0300006500 2.5211-03 2.3040-03 2.2042-03 2.0605-03 1.8238-03 1.6473-0300006600 1.5803-03 1.3867-03 1.2232-03 1.0785-03 9.5392-04 8.0965-0400006700 7.0593-04 6.0762-04 5.3824-04 4.9933-04 3.7225-04 1.7906-0400006800 1.4874-04 1.2632-04 1.0531-04 9.7450-05 8.3190-05 8.0602-0500006900 6.9230-05 5.7202-05 5.0292-05 4.8831-05 5.3362-05 3.7185-0500007000 6.1572-05 4.6320-05 4.4237-05 3.7633-05 2.4899-05 2.8404-0500007100 1.7624-05 1.4791-05 1.6544-05 1.1820-05 1.4320-05 7.8013-0600007200 8.7622-06 7.2049-06 6.9372-06 2.2612-06 3.0541-06 3.8068-0600007300 2.9754-07 1.6817-07 1.3922-07 2.2450-07 1.8398-07 8.3975-0800007400 1.4264-08 7.4848-09 4.2225-09 2.2732-09 1.5142-07 00007500 4** 00007600 7I0.00 7I5.00 7I10.00 7I15.00 3I20.00 6I23.25 00007701 1I30.00 3I30.20 2I30.90 1I32.20 32.50 00007801 6** 00007900 1.0 00008000 7** 00008100 1.0 00008200 8$$ 00008300 54R1 9Q54 00009303 16R1 38R2 00010303 16R1 8R3 30R2 1Q54 00011303 8R1 8R2 36R3 2R2 00011403 8R1 44R3 2R2 1Q54 00011503 8R2 44R3 2R2 00011603 52R3 2R2 1Q54 00011703 49R4 3R3 2R2 2Q54 00011803 8R2 37R3 4R4 3R3 2R2 00011903 8R5 37R3 4R4 3R3 2R2 00012004 8R5 16R3 21R2 4R4 3R3 2R2 00012103 8R5 8R2 8R3 21R2 4R4 3R3 2R2 00012203 16R5 8R3 21R2 4R4 3R3 2R2 1Q54 00012303 16R5 29R2 4R4 3R3 2R2 00012403 43R5 2R2 4R4 3R3 2R2 49Q54 00012503 16R5 29R2 4R4 3R3 2R2 00012603 16R5 8R3 21R2 4R4 3R3 2R2 1Q54 00012703 8R5 8R2 8R3 21R2 4R4 3R3 2R2 00012803 8R5 16R3 21R2 4R4 3R3 2R2 00012903 8R5 37R3 4R4 3R3 2R2 00013003 8R2 37R3 4R4 3R3 2R2 00013103 49R4 3R3 2R2 2Q54 00013203 8R2 44R3 2R2 00013303 8R1 44R3 2R2 1Q54 00013403 8R1 8R2 36R3 2R2 00013503 16R1 36R3 2R2 1Q54 00013603 16R1 8R2 28R3 2R2 00013703 24R1 28R3 2R2 1Q54 00013803 24R1 8R2 20R3 2R2 00013903 32R1 4R3 18R2 1Q54 00014003 32R1 22R2 00014103 9$$ 00014203 -241 -247 -253 -259 -265 00014400 10$$ 00014500 4I241 246 2Q6 00014600 4I247 252 4Q6 00014700 4I253 258 00014800 4I259 264 1Q6 00014900 4I265 270 1Q6 00015000 11$$ 00015103 6Z 4I61 66 4I67 72 00015200 6Z 4I139 144 4I145 150 00015300 4I151 156 4I163 168 00015400 6Z 00015500 6Z 4I91 96 00015600 6Z 4I67 72 00015700 12** 00015903 6R0.0 6R3.8810-5 6R1.0400-5 00016003 6R0.0 6R1.6787-2 6R1.3420-3 6R6.0507-2 6R7.3429-3 00016103 6R0.0 00016203 6R0.0 6R2.8190-3 00016307 6R0.0 6R4.2947-2 00016400 13** 00016603 -0.97753 -0.90676 -0.82999 -0.74536 -0.64979 -0.53748 00016703 -0.39441 -0.14907 1M8 00016803 14** 00016903 F1.0 00017003 T T 00017103 FNS-DOT35 O2 SLAB ASSEMBLY -- N-WATER SOURCE JENDL-3(FNS) '89-11-01 00000100 O 00000200 61$$ 00000300 0 5 5 54 102 12500000400 4 5 129 78 0 000000500 300 1 160 1 1 000000600 0 0 1 10 15 400000700 6 2 0 0 0 000000800 0 0 0 0 0 000000900 0 0 0 0 3 000001000 0 0 0 0 0 000001101 0 0 2 1 1 000001200 0 0 0 0 0 800001300 0 00001400 62$$ 00001500 2 3 4 14 15 900001600 10 11 12 13 8 6000001700 0 0 00001800 63** 00001900 0.0 1.000E-02 0.0 0.0 0.0 0.0 00002000 0.0 0.0 0.0 0.0 0.0 0.0 00002100 0.0 0.0 0.0 0.0 0.0 0.0 00002200 T 00002300 7** 00002400 -0.21082 -0.14907 1M1 00002500 -0.42164 -0.39441 -0.14907 1M2 00002600 -0.55777 -0.53748 -0.39441 -0.14907 1M3 00002700 -0.66667 -0.64979 -0.53748 -0.39441 -0.14907 1M4 00002800 -0.76012 -0.74536 -0.64979 -0.53748 -0.39441 -0.14907 00002900 1M5 00003000 -0.84327 -0.82999 -0.74536 -0.64979 -0.53748 -0.39441 00003100 -0.14907 1M6 00003200 -0.91894 -0.90676 -0.82999 -0.74536 -0.64979 -0.53748 00003300 -0.39441 -0.14907 1M7 00003400 -0.98883 -0.97753 -0.90676 -0.82999 -0.74536 -0.64979 00003500 -0.53748 -0.39441 -0.14907 1M8 00003600 1Q80 00003700 3R-0.97753 5R-0.90676 7R-0.82999 9R-0.74536 11R-0.64979 13R-0.5374800003800 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