INPUTS : - rock composition: - U/Th contamination: - density: 2.65 g/cm 3 Neutron yield in LSM rock
induced neutron production Alphas produced in 238 U and 232 Th decay chain; main contributions from : 238 U : 2 : 6.0 MeV 218 Po, 7.68 MeV 214 Po 232 Th : 3 : 6.28 MeV 220 Rn, 6.77 MeV 216 Po 8.78 MeV 212 Po n reactions opened for some isotopes; main contributions from : 13 C 17 O 18 O 23 Na 25 Mg 26 Mg 27 Al 29 Si 30 Si 42 Ca 43 Ca 44 Ca Use of EMPIRE-II code to mainly compute Mg and Ca ( ,n) cross sections
LIST OF ISOTOPES IN ROCK Natural abundances (RIPL) Reaction(a,n) (NNDC Q-calc) Z A El abundance uncert. Q-value (MeV) Threshold energy (MeV) [%] Threshold energy < 8.8 MeV 6 13C O (11) O (6) (8) 11 23Na (6) (7) 12 24Mg (15) (18) 12 25Mg (30) Mg (30) Al (3) (4) 14 29Si (14) (16) 14 30Si (14) (16) 15 31P (24) (27) 19 39K (19) (21) 19 40K (19) (21) 19 41K (18) (19) 20 42Ca (10) (11) 20 43Ca (8) Ca (8) Ca (22) (23) 20 48Ca (4) (4) 22 46Ti (24) (26) 22 47Ti (10) (11) 22 48Ti (10) (11) 22 49Ti (10) Ti (10) (11) 25 55Mn (12) (13) 26 54Fe (19) (20) 26 56Fe (5) (6) 26 57Fe (5) (6) 26 58Fe (6) (6) Natural abundances (RIPL) Reaction(a,n) (NNDC Q-calc) Z A El abundance uncert. Q-value (MeV) Threshold energy (MeV) [%] Threshold energy > 8.8 MeV 1 1H (21) (10) 1 2H (5) (15) 6 12C (5) (7) 8 16O (29) (4) 14 28Si (15) (17) 20 40Ca (7) (8) Isotopes Open to (alpha,n) reaction Isotopes Closed to (alpha,n) reaction
Cross-sections added by VK in August 2003: 9- F-19 Vukolov et al.Vopr.At.Nauk.Ob.,4,31(1983)+extrap., vk 13/10/03 11-Na-23 E.B.Norman et al. Nucl. Phys. A390, 561 (1982), vk 19/08/ Si-28 C.W.Cheng et al. Can. J. Phys. 58, 697 (1980), vk, 19/08/03 17-Cl-35 A.J.Howard et al. ApJ, 188, 131 (1974), added by vk, 19/08/03 24-Cr-50 A.J.Morton et al. Nucl. Phys. A573, 276 (1994), vk 9/12/03 25-Mn-55 S.Sudar, S.M.Qaim. Phys. Rev. C, 50, 2408 (1994), vk 9/12/03 26-Fe-54 S.G.Tims et al. Nucl. Phys. A524, 479 (1991), vk 19/08/03 27-Co-59 R.H.Stelson et al. Phys. Rev. B, 133, 911 (1964), vk 19/08/03 28-Ni-60 R.H.Stelson et al. Phys. Re Rev. B, 133, 911 (1964), vk 19/08/03 28-Ni-60 R.H.Stelson et al. Phys. Rev. B, 133, 911 (1964), vk 9/12/03 28-Ni-62 J.L.Zyskind et al. Nucl. Phys. A331, 180 (1979), vk 9/12/03 28-Ni-64 J.L.Zyskind et al. Nucl. Phys. A331, 180 (1979), vk 9/12/03 29-Cu-63 R.H.Stelson et al. Phys. Rev. B, 133, 911 (1964), vk 19/08/03 29-Cu-65 R.H.Stelson et al. Phys. Rev. B, 133, 911 (1964), vk 19/08/03 7- N-14 W. Gruhle et al. Nucl. Phys. A 186 (1972) 257, vk 11/03/04 Cross-sections added by Rachid Lemrani - July 2005 (calculations with empire-2.19): 12-Mg-24 - new 12-Mg-25 - update 12-Mg-26 - update 14-Si-29 - update 14-Si-30 - update 15- P-31 - update 19- K-39 - new 19- K-40 - new 19- K-41 - new 20-Ca-42 - C.W.Cheng et al Jour. of Physics, Part G (Nucl.and Part.Phys.) 5(1979) Ca-43 - new 20-Ca-44 - new 20-Ca-46 - new 20-Ca-48 - new 22-Ti-46 - new 22-Ti-47 - new 22-Ti-48 - new 22-Ti-49 - new 22-Ti-50 - new Cross-sections added SOURCES
Settings for EMPIRE-II 4 2 ;PROJECTILE A, Z 1 ;NUMBER OF NEUTRONS TO BE EMITTED 0 ;NUMBER OF PROTONS TO BE EMITTED 0 ;NUMBER OF ALPHAS TO BE EMITTED ;NUMBER OF L.I. TO BE EMITTED AND ITS A AND Z LEVDEN 2. GCROA -1. NEX 80. #PCROSS 1.3 OMPOT DIRPOT #OMPOT OMPOT ENDF 1. GO Optical model potentials : Neutrons : Wilmore-Hodgson Alphas : Mc Fadden and Satchler
EMPIRE II control plots 27 Al 42 Ca 48 Ti 23 Na 18 O
Rates for all combinations in concrete rates (neutrons/g/year) po218 po214 rn220 po216 po212 bi211 bi212 po210 po211 po215 at219 rn219 rn222 ra223 ra224 ra226 ac227 th227 th228 th230 th232 pa231 u234 u235 u238 total c o o na mg mg mg al si si ca ca ca ca ca p k k k ti ti ti ti ti mn fe fe fe fe total: n/g/year
Main contributions to alpha,n