Resonance Evaluations of 235 U for the CIELO Project

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Resonance Evaluations of 235 U for the CIELO Project L. Leal 1), A. Kahler 2), G. Noguere 3), O. Bouland 3), Y. Penneliau 3) 1) Oak Ridge National Laboratory 2) Los Alamos National Laboratory 3) CEA/Cadarache NEMEA-7/CIELO Workshop November 5-8, 2013 Managed by UT-Battelle

OUTLINE Presentation will be performed in four parts: 1) 235 U Evaluation and its Evolution 2)New Evaluation of the Resolved Resonance Range and Benchmark results 3)New Evaluation of the Unresolved Resolved Range and Benchmark results 4)Preliminary investigation of the two-step (n,γf) reaction 2 Managed by UT-Battelle

3 Managed by UT-Battelle First Part 235 U Evaluation and its Evolution

235 U Evaluation an its Evolution ENDF/B-V 235 U Resolved Resonance (RR) RR range: 10-5 ev 81eV E < 1 ev: smooth cross section (FILE 3) 1 ev < E < 81 ev: Single-Level Breit-Wigner + smooth cross section (FILE 3) RR evaluation based on analysis done by Smith & Young for ENDF/B-III (1970) Level-spin information not included!! 4 Managed by UT-Battelle

Motivation for a new 235 U Evaluation Multilevel R-matrix Reich-Moore formalism being developed in the SAMMY code; Use of the Bayesian approach to allow the analysis of several experimental data sequentially; Direct introduction of experimental condition in the evaluation: sample thickness, broadening parameters, normalization, etc; Availability of spin-separated data by Keyworth et al. New high resolution transmission data and fission cross section done at ORELA; 5 Managed by UT-Battelle

ENDF/B-VI 235 U RR Evaluation Due to computer limitations decision was made to split the resonance evaluation on seven disjoint energy ranges from 10-5 ev to 2250 ev; Use high-resolution transmission done by Harvey et al; Use high-resolution fission cross section done by Weston, Gwin, Spencer, etc; Use spin-separated data for determine s-wave total angular momentum 3 - and 4 - ; No new capture measurements were done!! Use delta-3 statistics for helping identifying missing levels; 6 Managed by UT-Battelle

Author Experimental Data Base Energy (ev) Data De Saussure (RPI/1967) 0.01-2250.0 Fission and Capture at 25.2 meters Perez (ORNL/1972) 0.01-200.0 Fission and Capture at 39.7 meters Weston (ORNL/1984) 14.0-2250.0 Fission at 18.9 meters Gwin (ORNL/1984) 0.01-20.0 Fission at 25.6 meters Spencer (ORNL/1984) 0.01-1.0 Transmission at 18 meters and sample thickness of 0.001468 atom/barn Harvey (ORNL/1986) 0.4-68.0 Transmission at 18 meters and sample thickness of 0.03269 atom/barn 7 Managed by UT-Battelle

Author Experimental Data Base Energy (ev) Data Harvey (ORNL/1986) 4.0-2250.0 Transmission at 80 meters and sample thickness of 0.00233 atom/barn cooled to 77 K Harvey (ORNL/1986) 4.0-2250.0 Transmission at 80 meters and sample thickness of 0.03269 atom/barn cooled to 77 K Wartena (Geel/1987) 0.0018-1.0 Eta at 8 meters Wagemans (Geel/1988) 0.001 0.4 Fission at 18 meters Schrack (RPI/1988) 0.02-20.0 Fission at 8.4 meters Weigman (ILL/1990) 0.0015 0.15 Eta (Chopper) 8 Managed by UT-Battelle

Author Experimental Data Base Energy (ev) Data Weston (ORNL/1992) 100.0-2000.0 Fission at 86.5 meters Moxon (ORNL/1992) 0.01-50.0 Fission Yield Gwin (ORNL/1996) 0.01-4.0 Absorption and fission at 21.68 meters 9 Managed by UT-Battelle

Issues with the 235 U RR Evaluation Evaluation released as ENDF/B-VI.0 No benchmark test were done prior to the evaluation release; Despite the good differential data fitting the evaluation did not do well in benchmark calculations. Results deteriorated compared to ENDF/B-V results, indeed; 10 Managed by UT-Battelle

Attempt to fix the 235 U RR Evaluation Lubitz performed an excellent job indicating key integral parameters to improve the evaluation; K1 value was key to the evaluation for thermal benchmark calculations; Work was done based on the seven disjoint sets of resonance parameters; No fit of the differential data was done; Evaluation released to ENDF 11 Managed by UT-Battelle

Present 235 U RR Evaluation Computer resources more efficient to allow one set of resonances in the energy range 10-5 ev to 2250 ev; Inclusion of integral data in the SAMMY fitting (K1, Westcott factors, etc.); New measurements of η at low energy to address Doppler coefficient of reactivity prediction; Evaluation should be tested nationally and internationally; Evaluation was released as ENDF/B-VI.3 12 Managed by UT-Battelle

WPEC subgroup 18: Epithermal Capture Cross Section for 235 U Quote from SG18: Release 6.3 did not do well on intermediate-spectrum cores, however, calculating 1-2% high on the HISS (HUG) and the two UH3 benchmarks which RQ Wright had added to the set being used to test 235U. It is possible that the low-alpha syndrome which affected Release 6.2 below 900 ev extends up higher in energy, but the results are also sensitive to possible errors in nubar. Benchmarks in the intermediate energy region were not available the time 235 U ENDF/B-VII.3 was released; WPEC Subgroup 29 indicated issues!! 13 Managed by UT-Battelle

WPEC subgroup 29: Uranium-235 Capture Cross-section in the kev to MeV Energy Region Mission: Investigate C/E discrepancies in uranium-core integral parameters observed with all major evaluated libraries (ENDF, JENDL, JEFF); Perform sensitivity analyses of integral parameters with respect to differential data; Review the 235 U capture cross-section to determine recommended values in the energy region from 100 ev to 1 MeV; Perform Benchmark calculations for the FCA-IX-1, -2 and -3 cores and the ZEUS-1, -2, -3, and -4; 14 Managed by UT-Battelle

2 nd part New Evaluation of the Resolved Range and Benchmarking 15 Managed by UT-Battelle

235 U Issues and Resolutions: Issues: Overestimation of 235 U capture cross-section in the resonance region range (0.1 to 2.5 kev). It is recommended: i) New measurements of capture and fission crosssection in the kev region; ii) Perform new resonance analysis in the 0.1 to 2.5 kev region; iii) Investigate the reason for the overestimation of criticalities for some benchmarks. 16 Managed by UT-Battelle

Resolution: 235 U Issues and Resolutions: New data measurements from RPI (capture and fission yields) (kind of alpha measurements); New capture data from LANL; Use SAMMY code for fitting the new data; Test the new evaluation in benchmark calculations: ZEUS benchmarks (FCA not available); Use JENDL4 as the template; Benchmark Calculations done with MCNP with everything else from ENDF/B-VII.0; 17 Managed by UT-Battelle

RPI capture data and ENDF evaluation (sg29 prediction confirmed) ENDF/B RPI - Experiment Capture Cross Section (barns) 10 1 0 500 1000 1500 2000 2500 Energy (ev) 18 Managed by UT-Battelle

ORNL, RPI and LANL Capture Data 39.70 m 20 ns 25.56 m 15 ns 25.45 m 125 ns 19 Managed by UT-Battelle

RPI and LANL Capture Data 25.56 m 15 ns 25.45 m 125 ns 20 Managed by UT-Battelle

Selected Measurements 235 U Four transmission measurements, eight fission cross section measurements and four capture cross section measurements were used in the evaluation; Evaluation performed up 2250 ev with 3197 resonances with 3168 in the energy range analyzed and 29 external resonances; Evaluation done using SAMMY with the Reich-Moore formalism; Fitted also integral data such as K1, Westcott factor, capture resonance integral; 21 Managed by UT-Battelle

Author Selected Measurements Energy (ev) Data De Saussure (RPI/1967) 0.01-2250.0 Fission and Capture at 25.2 meters Perez (ORNL/1972) 0.01-200.0 Fission and Capture at 39.7 meters Weston (ORNL/1984) 14.0-2250.0 Fission at 18.9 meters Gwin (ORNL/1984) 0.01-20.0 Fission at 25.6 meters Spencer (ORNL/1984) 0.01-1.0 Transmission at 18 meters and sample thickness of 0.001468 atom/barn Harvey (ORNL/1986) 0.4-68.0 Transmission at 18 meters and sample thickness of 0.03269 atom/barn 22 Managed by UT-Battelle

Author Selected Measurements Energy (ev) Data Harvey (ORNL/1986) 4.0-2250.0 Transmission at 80 meters and sample thickness of 0.00233 atom/barn cooled to 77 K Harvey (ORNL/1986) 4.0-2250.0 Transmission at 80 meters and sample thickness of 0.03269 atom/barn cooled to 77 K Wartena (Geel/1987) 0.0018-1.0 Eta at 8 meters Wagemans (Geel/1988) 0.001 0.4 Fission at 18 meters Schrack (RPI/1988) 0.02-20.0 Fission at 8.4 meters Weigman (ILL/1990) 0.0015 0.15 Eta (Chopper) 23 Managed by UT-Battelle

Author Selected Measurements Energy (ev) Data Weston (ORNL/1992) 100.0-2000.0 Fission at 86.5 meters Moxon (ORNL/1992) 0.01-50.0 Fission Yield Gwin (ORNL/1996) 0.01-4.0 Absorption and fission at 21.68 meters Danon (RPI/2012) 100.0 5000 Fission and capture yield at 25.56 meters (burst 15 ns) Jandel (LANL/2012) 100.0-5000 Capture at 25.45 meters (burst 125 ns) 24 Managed by UT-Battelle

Integral Quantities Wescott Factor g x = 2σ x π 1/ 2 σ 0x K 1 Parameter k1 =υσ 0 f g f σ 0a g a Resonance Integral I x = 20Mev 0.5eV σ xdx E Eta η = νσ f σ a 25 Managed by UT-Battelle

Fit of the RPI Capture Data 0.1 RPI - Experiment Resonance Parameters (SAMMY) Capture Yield 0.01 0 500 1000 1500 2000 2500 Energy (ev) 26 Managed by UT-Battelle

Fit of the RPI Fission data RPI - Experiment Resonance Parameter (SAMMY) 0.1 Fission Yield 0.01 0 500 1000 1500 2000 2500 Energy (ev) 27 Managed by UT-Battelle

ICSBEP Benchmark Calculations The HEU-MET-INTER-006 cases (ZEUS) Intermediate Energy Benchmark: Designed to test the 235 U cross sections in the intermediate energy range. ISCEB description: heu-met-inter-006-1 (ZEUS1) heu-met-inter-006-2 (ZEUS2) heu-met-inter-006-3 (ZEUS3) heu-met-inter-006-4 (ZEUS4) 28 Managed by UT-Battelle

The HEU-MET-INTER-006 cases (ZEUS) Case Number k eff EALF (kev) Intermediate-Energy Fission Fraction 1 (ZEUS1) 0.9977 ± 4.44 0.730 2 (ZEUS2) 3 (ZEUS3) 4 (ZEUS4) 0.0008 1.0001 ± 0.0008 1.0015 ± 0.0008 1.0016 ± 0.0008 9.45 0.698 22.80 0.636 80.80 0.503 EALF: Energy Average Lethargy Causing Fission 29 Managed by UT-Battelle

Effective System Multiplication Factor k eff = Pr oduction Absorption + Leakage 30 Managed by UT-Battelle

ZEUS1 EALF=4.44 kev UR HE RR 31 Managed by UT-Battelle

ZEUS2 EALF=9.45 kev UR HE RR 32 Managed by UT-Battelle

ZEUS3 EALF=22.80 kev RR UR HE 33 Managed by UT-Battelle

ZEUS4 EALF=80.80 kev HE UR RR 34 Managed by UT-Battelle

The HEU-MET-INTER-006 cases (ZEUS) Case Number 1 (ZEUS1) 2 (ZEUS2) 3 (ZEUS3) 4 (ZEUS4) Benchmark k eff 0.9977 ± 0.0008 1.0001 ± 0.0008 1.0015 ± 0.0008 1.0016 ± 0.0008 Calculated k eff ENDF/B-VII.0 JENDL4 ORNL 0.99304 ± 0.00035 0.99603 ± 0.00035 1.00065 ± 0.00035 1.00750 ± 0.00031 1.00084 ± 0.00036 1.00501 ± 0.00036 1.00664 ± 0.00034 1.00673 ± 0.00034 0.99644 ± 0.00035 1.00015 ± 0.00035 1.00208 ± 0.00033 1.00496 ± 0.00031 35 Managed by UT-Battelle

The HEU-MET-INTER-006 cases (ZEUS) EALF 4.45 kev 9.45 kev 22.8 kev 80.8 kev 36 Managed by UT-Battelle

3 rd part New Evaluation of the Unresolved Resolved Range and Benchmarking 37 Managed by UT-Battelle

Integral Data Assimilation of the PROFIL and PROFIL-2 results The α(u-235) ratio has been calculated for U-235 as a function of neutron energy by using the PROFIL and PROFIL-2 sample irradiation experiments carried out in the PHENIX reactor of the CEA/DEN Marcoule. These experiments use rods with a large number of samples (~ 130 samples) containing almost pure separated actinides and fission products isotopes. They were designed to collect integral information for improving the neutron-induced cross sections of interest for fast reactor applications. The PROFIL results were analysed using the ERANOS-2.2 code with the JEFF- 3.1.1 nuclear data library. Such analyses show that the α(u-235) ratio can be derived from the (U-235/U-238) and (U-236/U-235) individual isotopic ratios, which characterize the U-235 fission and capture cross sections respectively. The Integral Data Assimilation (IDA) procedure implemented in the CONRAD code allows the extraction of reliable α(u-235) ratio within the neutron energy range [500 ev - 150 kev] The ECIS and TALYS codes were used to calculate the neutron cross sections JENDL-4 + ORNL evaluation used as a template 38 Managed by UT-Battelle

The capture cross section is deduced from α(u-235) by using the fission cross section recomended by the standard group of AIEA 39 Managed by UT-Battelle

Below 100 kev, the capture cross section seems to be consistent with the older «evaluation» work of Zhong (1978) 40 Managed by UT-Battelle

Comparison of the broad group average cross sections 0.5 kev 2.2 kev 0.5 kev 2.2 kev Statistical calculation seems to confirm the overestimation of the capture cross section in the kev energy range 41 Managed by UT-Battelle

Comparison of the broad group average cross sections 0.5 kev 2.2 kev 0.5 kev 2.2 kev Good agreement with the new RRR evaluation from ORNL 42 Managed by UT-Battelle

Preliminary benchmark results (TRIPOLI calculations) Three evaluated nuclear data files were tested with different upper energy limit for the RRR (500 ev, 1 kev and 2 kev) no significant impact («statistical» behavior of U235) NB: the GODIVA uncertainty was updated according to work of P.M. Bess (ND2013) For MAS1B, additional improvement is expected with new U238 from Capote et al. 43 Managed by UT-Battelle

4 th part Preliminary investigation of the two-step (n,γf) reaction 44 Managed by UT-Battelle

Short list of references 1959 : unpublished estimation of the Γ γf width for the (n,γf) reaction by E. Lynn 1965 : On the slow neutron, gamma-fission reaction, E. Lynn, Phys. Lett. 18 1967 : Evaluation des données neutroniques pour le Pu-239, G. LeCoq, PhD thesis 1973 : Etudes des sections efficaces de réaction des neutrons de resoanance avec Pu239, H. Derrien, PhD thesis 1974 : Etude des neutrons et des rayons gamma émis lors de la fission induite dans 235U et 239Pu par neutrons lents: mise en évidence de la réaction (n,γf), D. Shackleton, PhD thesis 1980 : The double-humped fission barrier, S. Bjornholm and E. Lynn, Rev. Mod. Phys. 52 45 Managed by UT-Battelle

Two-step (n,f) processes in first and second well of fission barrier potential 46 Managed by UT-Battelle

Estimation of the (n,γf) reaction using the new U-235 resonance parameters Contribution close to 1% Good agreement with AVXSF calculations how to include the (n,γf) widths in the Reich-Moore formalism? 47 Managed by UT-Battelle

Conclusions Perform further benchmark testing; Temperature effects? Na-void reactivity of BFS and FCA; Revise the unresolved resonance region evaluation; High energy data? What is going on? Investigate other parameters such as PFNS and nubar: any need for improvements? How about fast systems? Continue work under the CIELO project; 48 Managed by UT-Battelle