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NUCLEAR DATA REQUIREMENTSFOR DECAY HEAT CALCULATIONS
DECAY DATA
Slide serial no 2© 2002 IAEA
DECAY DATA
idecay constants (= )
k , k- , k+ branching fractions for , - and + decay to nuclide Z,A
Ei , Ei , Eimean alpha, beta and gamma energy
releases of nuclide
ln 2 t½
Slide serial no 3© 2002 IAEA
COMPREHENSIVE DECAY DATA FILES
fission products actinides and decay chains
Half-livesIsomeric branching ratiosMean energies (can be derived from discrete
decay data)
Slide serial no 4© 2002 IAEA
CONFLICT:
Short-lived fission products (half-lives less than ~ 1 min)
extremely difficult to characterise discrete transitions lack of credible decay data
Pandemonium effect (Hardy et al, 1977)
Slide serial no 5© 2002 IAEA
Fission products and decay chains
Slide serial no 6© 2002 IAEA
Fission products and decay chains
Slide serial no 7© 2002 IAEA
Effect of missing nuclear levels: loss of -ray energy release (Ei)
Slide serial no 8© 2002 IAEA
Distribution of experimental beta feeding in 87Br decay and calculated average beta energy
Slide serial no 9© 2002 IAEA
MODELLING - DECAY
Gross theory (Yoshida et al)beta-strength function S(E):
(a) sensitive varies “gradually” with respect to mass number A,
(b) to even-odd of proton number Z and neutron number N.
Characterised by odd-odd, odd-even, even-odd and even-even, and by the Q value
Can be used to calculate half life, and beta and gamma spectra.
Slide serial no 10© 2002 IAEA
Normalised delayed gamma-ray spectra of odd-mass nuclides near the light peak of the mass-yield curve
Slide serial no 11© 2002 IAEA
Normalised delayed gamma-ray spectra of odd-odd nuclides near the light peak of the mass-yield curve
Normalised delayed gamma-ray spectra of even-even nuclides near the light peak of the mass-yield curve
Slide serial no 12© 2002 IAEA
Normalised delayed gamma-ray spectra of odd-mass nuclides near the heavy peak of the mass-yield curve
Slide serial no 13© 2002 IAEA
Normalised delayed gamma-ray spectra of odd-odd nuclides near the heavy peak of the mass-yield curve
Normalised delayed gamma-ray spectra of even-even nuclides near the heavy peak of the mass-yield curve
Slide serial no 14© 2002 IAEA
Mean beta-particle and gamma-ray energies for nuclides with Q 4.5 MeV: comparison of gross theory calculations with evaluated measurements (Yoshida, 1977)
Mean beta-particle energy (MeV) Mean gamma-ray energy (MeV) Nuclide UK
evaluation (1973)
US evaluation
(1975)
Gross theory
UK evaluation
(1973)
US evaluation
(1975)
Gross theory
Half-life (sec)
74Ga 1.072 1.070 1.350 3.043 3.040 2.471 500 76Ga 1.675 1.680 1.832 2.808 2.810 2.136 27 80As 2.468 2.523 2.584 0.554 0.606 0.347 17 82As 3.137 3.211 1.888 0.336 0.288 2.909 23 86Br 1.765 1.775 1.946 3.296 3.318 2.936 59 87Br 2.087 2.136 1.757 1.727 1.726 2.387 56 88Rb 2.000 2.083 1.156 0.677 0.674 2.463 1100 90Rb 1.789 1.659 1.673 2.560 2.660 2.814 150 91Rb 1.320 1.334 1.533 2.871 2.733 2.533 59 92Rb 3.714 3.459 2.526 0.260 0.261 2.696 4.5 94Y 1.193 1.717 1.039 1.043 0.986 2.417 1100 95Y 1.713 1.745 0.968 0.523 0.488 2.111 650 97Y 1.612 2.162 2.294 0.935 0.935 1.055 1.1
99Zr 1.586 1.621 1.651 0.794 0.794 0.719 2.4
Slide serial no 15© 2002 IAEA
Mean beta and gamma energies released per disintegration of fission product
Slide serial no 16© 2002 IAEA
INCORPORATION OF THEORETICAL DECAY DATA
(A) JNDC library, 1980
(B) JNDC Library, 1980 + theoretical decay data
Compared with decay-heat measurements ofDickens et al (1980):
(A) overestimates beta energy and underestimates gamma energy
(B) much closer agreement between measurements and calculations
Slide serial no 17© 2002 IAEA
Beta energy emission rate after instantaneous pulse of thermal-neutron fission of 235U
Slide serial no 18© 2002 IAEA
Photon energy emission rate after instantaneous pulse of thermal-neutron fission of 235U
Slide serial no 19© 2002 IAEA
Slide serial no 20© 2002 IAEA
YOSHIDA AND TACHIBANA (2000)
Theoretical treatment of the asymptotic behavior of fission product decay heat
toward very short cooling time
J. Nucl. Sci. Technol, 37, 491-497
Use of Q00 factor: based on beta-strength functions around the ground state of the
daughter nucleus;
for half-lives:
Q00 = 0.25 MeV for even-even parent
= 1.0 MeV for odd-A parent
= 1.75 MeV for odd-odd parent
for mean beta and gamma energies:
Q00 = 0.4
Represents the effect of - decay selection rules on the population to low-lying daughter levels
adjust on basis of odd-even properties
Q00 1.0
Slide serial no 21© 2002 IAEA
Ratios of the half-lives between gross theory calculationsand experimental results
Slide serial no 22© 2002 IAEA
Calculated - and -ray components of 235U decay heat compared with experiments at very short cooling times
Slide serial no 23© 2002 IAEA
Calculated - and -ray components of 238U decay heat compared with experiments at very short cooling times
Slide serial no 24© 2002 IAEA
Comparison of the calculated E- values and E-values by gross theory with experimental data
Slide serial no 25© 2002 IAEA
MODELLING DECAY
Klapdor (1983)Hirsch et al (1992)
Microscopic structural analysis of beta-strength functions: neglect of beta-strength structure is an oversimplification, even for high-level densities
Analysis of S(E) for individual levels
Compared with experiments of Schreckenbach et al (1981) for electron and antineutrino spectra.
Developed further as pn-QRPA(proton-neutron quasiparticle random phase approximation)
Slide serial no 26© 2002 IAEA
Electron spectrum from thermal fission of 235U (Klapdor, 1983)1 S(E) Avignone and Greenwood (1980)2 S(E) Kopeykin (1980)3 S(E) Vogel et al (1981)4 S(E) Klapdor and Metzinger (1982b)
Slide serial no 27© 2002 IAEA
Antineutrino spectrum from thermal fission of 235U (Klapdor and Metzinger, 1982b)1 S(E) Avignone and Greenwood (1980)2 S(E) Kopeykin (1980)3 S(E) Vogel et al (1981)4 S(E) Klapdor and Metzinger (1982b)
Slide serial no 28© 2002 IAEA
MODELLING DECAY
Mann et al (1982)
Simpler statistical model to calculate S(E)
that (effectively) ignores structure, replacing summations
with integral functions to determine half-lives and beta and gamma energies.
Slide serial no 29© 2002 IAEA
Half-lives of Rb nuclides (Mann et al, 1982)
Slide serial no 30© 2002 IAEA
SPECTRAL MEASUREMENTS
Rudstam et al (1990)
OSIRIS
ISOLDE
Mass separatorRapid collection, transfer and measurement
Gamma-ray emissions: NaI(Tl) and Ge(Li) detectorsBeta-particle emissions: HPGe and Si(Li) detectors
Slide serial no 31© 2002 IAEA
Slide serial no 32© 2002 IAEA
Beta and gamma spectra of short-lived fission product 87Br (Rudstam et al, 1990)
Slide serial no 33© 2002 IAEA
Beta and gamma spectra of short-lived fission product 94Rb (Rudstam et al, 1990)
Slide serial no 34© 2002 IAEA
Beta and gamma spectra of short-lived fission product 95Rb (Rudstam et al, 1990)
Slide serial no 35© 2002 IAEA
Beta and gamma spectra of short-lived fission product 135Sb (Rudstam et al, 1990)
Slide serial no 36© 2002 IAEA
SPECTRAL MEASUREMENTS
Greenwood et al (1994, 1996 and 1997)
He gas-jet transport to mass separator Rapid collection, transport and measurement
TAGS - total absorption gamma-ray spectrometry:
NaI(Tl) detector with deep-axial counting well
for complete summing of -ray cascades; Si detector also located in the counting
well
Operate in 4-coincidence mode to determine -
branch to ground state of daughter
Slide serial no 37© 2002 IAEA
Comparison of measured singles spectrum for 138gCs with the simulated spectrum for the evaluated decay scheme (Greenwood et al, 1994)
Slide serial no 38© 2002 IAEA
138gCs - emission probabilities, P (Greenwood et al, 1997).
Level energy(keV)
P(%)
NDS TAGS0.0 0.0 0.0
1435.9 4.3 3.761898.7 13.7 13.942217.9 13.0 13.232307.6 7.3 6.102415.5 0.63 0.642445.7 44.0 44.762583.1 1.67 1.422639.5 8.80 7.322779.5 1.59 0.812851.6 0.20 0.202880.9 0.54 0.552931.5 0.21 0.212991.2 0.64 0.613049.9 0.17 0.173163.6 0.34 0.353242.6 0.27 0.543257.7 0.06 0.333339.0 0.17 0.333352.6 0.035 0.0363367.0 0.23 0.233437.4 0.011 0.0113442.3 0.011 0.0113510 P - 0.253647.0 0.43 0.663652.6 0.005 0.0053694.0 0.30 0.463825 P - 0.153922.6 0.21 0.253935.2 0.47 0.614012.3 0.08 0.084080.1 0.18 0.184242.5 0.10 0.284370 P - 0.104508.1 0.16 0.414629.8 0.26 0.724850 P - 0.205080 P - 0.046
NDS: Nuclear Data Sheets, 69(1993)69.P: placement of pseudolevel.
Slide serial no 39© 2002 IAEA
Comparison of measured singles spectrum for 138gCs with the simulated spectrum for there-adjusted decay scheme (Greenwood et al, 1994)
Slide serial no 40© 2002 IAEA
Comparison of measured singles spectrum for 138mCs with the simulated spectrum for the evaluated decay scheme (Greenwood et al, 1994)
Slide serial no 41© 2002 IAEA
138mCs - emission probabilities, P (Greenwood et al, 1997).
Level energy(keV)
P(%)a
NDS TAGS0.0 0.0 0.0
1436.0 0.0 0.01899.0 0.0 3.632090.7 75.3 64.692203.2 10.3 8.892307.8 0.0 0.02415.2 14.4 15.882600 P - 0.2722730 P - 0.592800 P - 0.592900 P - 0.453300 P - 0.413400 P - 0.823500 P - 0.823600 P - 0.643800 P - 0.593900 P - 1.004100 P - 0.0734200 P - 0.0734300 P - 0.0734400 P - 0.1364500 P - 0.1094600 P - 0.1094700 P - 0.0644800 P - 0.0544900 P - 0.0325000 P - 0.018
aContribution to the total 138mCs decay is obtained by multiplying P by 0.19.NDS: Nuclear Data Sheets, 69(1993)69.P: placement of pseudolevel.
138mCs - emission probabilities P (Greenwood et al, 1997)
Slide serial no 42© 2002 IAEA
Comparison of measured singles spectrum for 138mCs with the simulated spectrum for the re-adjusted decay scheme (Greenwood et al, 1994)
Slide serial no 43© 2002 IAEA
ENDPOINT ENERGY MEASUREMENTS
Numerous: for example, Wünsch et al (1978) Przewloka et al (1992a
and 1992b)Ikuta et al (1994)
Mass separator
coincidence and singles spectra
Fermi-Kurie plots
Slide serial no 44© 2002 IAEA
-endpoint spectrum of 92Rb (Przewloka et al, 1992a)
Slide serial no 45© 2002 IAEA
Q values of neutron-rich nuclei in the mass region 147A152 (Ikuta et al, 1994).
Nuclide Half-life Measured Q
(keV)Q (keV)
Audi and Wapstra, 1995147La 4.015 s 5130(80) 4945(55)147Ce 56.4 s 3426(28) 3290(40)147Pr 13.3 m 2710(50) 2686(37)148Ce 56 s 2140(30) 2060(75)148Pr 2.27 m 4880(50) 4932(89)149Ce 5.2 s 4386(27) 4190(75)149Pr 2.26 m 3430(90) 3397(10)150Ce 4.0 s 3470(60) 3010(90)150Pr 6.19 s 5390(30) 5690(80)151Pr 18.90 s 4200(40) 4101(35)
151Nd 12.44 m 2460(100) 2442(4)152Pr 3.24 s 6340(120) 6444(300)
152Nd 11.6 m 1100(40) 1110(78)152Pm 4.1 m 3520(60) 3504(72)
Uncertainties are given in parentheses (for example, 4945(55) means 4945 55).
Slide serial no 46© 2002 IAEA
Evaluated decay-data libraries, 2000/01: contents and origins of fission-product decayenergies (NEA-OECD, 2000; Katakura et al, 2001)
Fission products ENDF/B-VI JENDL-FP JEF-2.2Evaluated nuclides 891 1229 860
Radioactive nuclides 764 1087 730Stable nuclides 127 142 130
Evaluated decay energiesa 443c 536d 611Estimated decay energiesb 384c 551d 119
a Evaluations of discrete decay data.b Mean decay energies from gross measurements and theory.c Some files contain both evaluated discrete data and estimated theoretical data (includingcontinuum spectra).d Uncertain - defined by number balance only.
Slide serial no 47© 2002 IAEA
JEF-2.2, NEA DATA BANK
Fission Products:
860 evaluated nuclides
730 radioactive nuclides
130 stable nuclides
Of 730 radioactive nuclides, 611 are derived from measured
discrete decay data, and 199 from gross measurements
(Rudstam et al, 1990) and theoretical data.
Slide serial no 48© 2002 IAEA
RECENT DEVELOPMENTS
(1) Re-evaluations of discrete decay data
(2) Re-evaluations /development of theoretical decay data
(3) Evidence for further new short-lived radionuclides eg., 107mAg, 112mRh, 113mPd, 122nIn and 146mLa
Slide serial no 49© 2002 IAEA
Evaluation of discrete decay data - consistency of data sets requested forJEFF-3.
Radionuclide Consistency(% Deviation)
Radionuclide Consistency(% Deviation)
33-As-85
34-Se-79
(34-Se-79m)
35-Br-87
35-Br-88
35-Br-89
35-Br-90
35-Br-91
37-Rb-93
37-Rb-94
37-Rb-95
(39-Y-98)
39-Y-98m
39-Y-99
40-Zr-93
(41-Nb-93m)
45-Rh-106
(45-Rh-106m)
50-Sn-126
0.0988*
0.0000
-0.0962
-0.1976*
0.2554*
0.0534*
0.1331*
0.0274*
-0.0182*
-0.0527*
-0.2394*
-0.0432*
-0.2944*
-0.0741*
1.2384
-0.3678
-0.0243
-0.0487
0.0293
(51-Sb-126)
(51-Sb-126m)
(51-Sb-126n)
51-Sb-127
51-Sb-135
(52-Te-127)
(52-Te-127m)
52-Te-132
53-I-132
(53-I-132m)
53-I-137
53-I-138
53-I-139
57-La-140
59-Pr-143
59-Pr-144
(59-Pr-144m)
62-Sm-147
65-Tb-161
-0.0653
-0.1714
-0.3560
-0.0431
-0.0198*
-0.0037
-0.0908
0.1077
-0.0832
-0.3723
0.1276*
-0.1955*
-0.0552*
-0.0108
0.0000
0.0382
-0.0860
-0.0023
-0.0324
Additional short-lived daughter and related metastable/ground state radionuclides are inparentheses, and were also evaluated.*Beta-decay mode only.
Evaluation of discrete decay data – consistency of data sets requested for JEFF-3
Slide serial no 50© 2002 IAEA
Short-lived fission products requested for JEFF-3 - US ENDF/B-VI decay data adopted ormodified unless stated otherwise.
Radionuclide Half-life (sec) ‡Continuum Spectra - Energy Range (keV)*
Gamma Beta Neutron39-Y-104 0.13(2) 0(500) - 12730 0 - 12690 0 - 551039-Y-105 0.15(2) 0(500) - 10820 0 - 10790 0 - 684040-Zr-105 0.6(2) 0(500) - 8290 0 - 8260 0 - 2260
40-Zr-106 0.9(2) 0(500) - 6380 0 - 6350 0 - 257040-Zr-107 0.24(4) 0(500) - 9230 0 - 9200 0 - 395041-Nb-109 0.19(6) 0(500) - 8760 0 - 8730 0 - 530042-Mo-109 0.5(2) 0(500) - 6700 0 - 6670 0 - 1200
42-Mo-111 0.5(2) 0(500) - 8020 0 - 7990 0 - 221042-Mo-112 1.0(2) 0(500) - 6020 0 - 5990 0 - 272043-Tc-113 0.13(4) 0(500) - 7540 0 - 7510 0 - 408043-Tc-114 0 20(4) 0(500) - 10610 0 - 10580 0 - 479043-Tc-115 0.27(5) 0(500) - 8870 0 - 8840 0 - 591043-Tc-116 0.12(2) 0(500) - 11860 0 - 11830 0 - 665044-Ru-115 0.7(2) 0(500) - 7250 0 - 7220 0 - 140044-Ru-116 1.7(3) 0(500) - 5510 0 - 5480 0 - 215044-Ru-117 0.34(7) 0(500) -8500 0 - 8470 0 - 318044-Ru-118 0.7(2) 0(500) - 6530 0 - 6500 0 - 368044-Ru-119 0.19(4) 0(500) - 9290 0 - 9260 0 - 444045-Rh-118 0.32(6) 0(500) - 9970 0 - 9940 0 - 341045-Rh-120 0.17(3) 0(500) - 10770 0 - 10730 0 - 483045-Rh-121 0.25(5) 0(500) - 8790 0 - 8760 0 - 599046-Pd-121 0.6(1) 0(500) - 7560 0 - 7530 0 - 152051-Sb-141 0.3(1) No entry in US ENDF/B-VI; other theoretical data adopted
57-La-152 0.28(6) 0(500) - 8810 0 - 8770 0 - 398058-Ce-153 1.5(3) 0(500) - 5820 0 - 5790 0 - 162058-Ce-154 2.0(4) 0(500) - 5010 0 - 4970 0 - 164058-Ce-158 1.0(2) No entry in US ENDF/B-VI; other theoretical data adopted
59-Pr-156 0.5(1) 0(500) - 8690 0 - 8660 0 - 279059-Pr-157 0.30(6) 0(500) - 8130 0 - 8100 0 - 359060-Nd-157 2.5(5) 0(500) - 5560 0 - 5520 None60-Nd-158 0.7(2) 0(500) - 5000 0 - 4970 0 - 32060-Nd-159 0.5(1) 0(500) - 7150 0 - 7120 0 - 123060-Nd-160 0.30(6) 0(500) - 6350 0 - 6320 0 - 183061-Pm-159 3.0(6) 0(500) - 5650 0 - 5620 0 - 41061-Pm-160 2.0(4) 0(500) - 7800 0 - 7770 0 - 1130
‡ Adopted from a combination of Audi et al (1997), Takahashi et al (1973) and US ENDF/B-VI(Dunford, 1992); uncertainties are given in parentheses (for example, 0.13(2) means 0.13 ± 0.02).
* Expressed in terms of incremental units of 10 keV starting from zero (first incremental energy stepof continuum gamma spectra is from zero to 500 keV, as noted in parentheses).
Neutron spectrum adjusted to 0-1794 keV. Neutron spectrum adjusted to 0-620 keV.
Short-lived fission products requested for JEFF-3 – US ENDF/B-VI decay data adopted or modified unless stated otherwise
Slide serial no 51© 2002 IAEA
JEFF-3T, NEA DATA BANK
New set of data libraries in preparation:thermal-neutron cross sections
(April 2002);fission yields (late 2002);decay data (late 2002)
see: Jacqmin et al “Status of the JEFF-3 Project” ND2001, Int. Conf. on Nucl. Data for Science and Technology, 7 - 12 October 2001, Tsukuba, Japan
Slide serial no 52© 2002 IAEA
JEFF-3T, NEA DATA BANK
Fission yields: UKFY3 in preparation for incorporation into JEFF-3T (Mills, BNF plc,
UK)
Decay data: 3755 nuclides, including files for stable nuclides (mass, natural abundance, spin and parity)
see:O. Bersillon et al “JEFF-3T: Decay Data and Fission Yield Libraries”, ND2001, Int. Conf. On Nucl. Data for Science and Technology, 7 – 12 October 2001, Tsukuba, Japan
Slide serial no 53© 2002 IAEA
JEFF-3T, NEA DATA BANK
Decay data:
1. NUBASE used to create complete library of 3755 nuclidesG. Audi et al “The NUBASE Evaluation of Nuclear and Decay Properties”, Nucl. Phys., A624(1997) 1-124.
2. Discrete decay data files extracted from UKPADD-6 and UKHEDD-2; and French files formulated from ENSDF.
Slide serial no 54© 2002 IAEA
DECAY HEAT DISCREPANCIES
Yoshida et al (1997 and 1999)
JNDC-FP-V2 library:
0 - 20 sec
300 - 3000 sec (~1000 sec)
Slide serial no 55© 2002 IAEA
Gamma-ray discrepancies seen in 239Pu decay heat after a fission burst (Yoshida et al, 1999)
Slide serial no 56© 2002 IAEA
YOSHIDA et al (1997 and 1999)
Introduced an additional - decay chain of two radionuclides
Energy release of 1.5 MeV per decay
Discrepancy between 300 and 3000 sec reduced significantly
(eliminated?) in the various fissioning systems: candidates for additional energy release include 102Tc,
104Tc and 105Tc
Slide serial no 57© 2002 IAEA
Removal of -ray discrepancy by including 1.5 MeV -ray emitter (Yoshida et al, 1999)
Slide serial no 58© 2002 IAEA
YOSHIDA et al (1997 and 1999)
108Rh - 108mRh half-lives
17 sec - 6 min JNDC-FP-V2
6 min - 17 sec JEF -2.2
Change of 108Rh ground-state half-life from 17 sec to 6 min [factor of ~20 difference] leads to significant
increase of decay heat around 1000 sec (and closer agreement
with experiments).
Slide serial no 59© 2002 IAEA
239Pu -decay heat after a fission burst: 102Tc and 108Rh data adjusted in JEF-2.2 (Yoshida et al, 1999)
Slide serial no 60© 2002 IAEA
DECAY DATA LIBRARIES
CD-ROM
Internet access
IAEA Nuclear Data Section, Viennahttp://www-nds.iaea.org
US National Nuclear Data Centre, Brookhaven
http://www.nndc.bnl.gov/
NEA Data Bank, Francehttp://www.nea.fr
and many others
Slide serial no 61© 2002 IAEA
NUCLEAR DATA AND DECAY HEAT CALCULATIONS
(1) Availability of authoritative nuclear data libraries in a standard format
(2) Comprehensive checks for consistency and completeness
(3) Validation
(4) Measurement-based discrete data files are inadequate for decay heat
calculations
Slide serial no 62© 2002 IAEA
FIXES
(1) Fission yields: systematic fitting procedures
(2) Decay data: lack of comprehensive discrete data - gross energy measurements and theoretical data
Slide serial no 63© 2002 IAEA
QUESTION:
Are we striving for perfection when good is good enough ?
Significant gaps in measured fission yields and decay data do
exist, and imply we are still some way from such an enviable
position.
Slide serial no 64© 2002 IAEA
DEFINITION OF AN EVALUATOR
optimistic cynic no funding for measurement programmes
Guidance notes: (1) If two measurements of a nuclear parameter
produce the same result, the true evaluator can only be confident that both results are incorrect.
(2) Data evaluation is the act of assembling experimental data, theory and guesswork so as to make something useful (out of indifferent beginnings).