IAEA Nuclear Data Section
Recommended data for
Time dependence of delayed neutron activity
Group Parameters




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All Actinides data
Reference Database for Beta-Delayed Neutron Emission
References

Nucl. Data Sheets 173 (2021) 144 (recommended data),
INDC(NDS)-0784 (reference DN data),
Piksaikin et al. EPJ Nuclear Sci. Technol. 6,54 (2020) (methodology)


232TH

Energy: Fast Spectrum
6-Groups
Original Model - G. R. KEEPIN, T. F. WIMETT, and R. K. ZEIGLER, Delayed Neutrons from Fissionable Isotopes of Uranium, Plutonium, and Thorium,” Physical Review, 107, 4, 1044 (Aug. 15, 1957).

#Half-life [s]Relative abundance a(i)
156.0 ± 0.0950.034 ± 0.002
220.8 ± 0.6600.150 ± 0.005
35.74 ± 0.2400.155 ± 0.021
42.16 ± 0.0800.446 ± 0.015
50.571 ± 0.0420.172 ± 0.013
60.211 ± 0.0190.043 ± 0.006

Average Half-life : 6.98 ± 0.23 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
00.81
T2
00.620.231
a3
00.320.30.31
T3
00.32-0.140.71-0.311
a4
00.740.490.74-0.020.681
T4
00.070.080.05-0.640.230.051
a5
00.250.230.2-0.040.1-0.010.481
T5
00.040.030.03-0.030.02-0.220.250.11
a6
00.030.030.0300.010.010.04-0.050.041
T6
00.030.030.0200.010.010.05-0.040.01-0.011

8-Groups
Expanded Model using a fixed set of Half-lives
G. D. Spriggs, J. M. Campbell and V. M. Piksaikin, An 8-Group Neutron Model Based on a Consistent Set of Half-Lives, Los Alamos National Laboratory report LA-UR-98-1619, Rev. 3, (October 6, 1999).

#Half-life [s]Relative abundance a(i)
155.6 0.033 ± 0.002
224.5 0.073 ± 0.005
316.3 0.093 ± 0.002
45.21 0.136 ± 0.024
52.37 0.381 ± 0.008
61.04 0.140 ± 0.008
70.424 0.114 ± 0.013
80.195 0.028 ± 0.001

Average Half-life : 6.98 ± 0.23 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
001
T2
0001
a3
00-0.7401
T3
000001
a4
000.510-0.701
T4
00000001
a5
000.2200.180-0.5901
T5
0000000001
a6
000.090-0.0800.310-0.5701
T6
000000000001
a7
000.070-0.0500.110-0.060-0.2801
T7
00000000000001
a8
000.010-0.0100.01000-0.030-0.0401
T8
0000000000000001

Energy: 14.23 MeV
6-Groups
Original Model - V.A. Roshchenko, V.M.Piksaikin et al., Temporary characteristics of delayed neutrons and partial cross sections of emissive fission in fission of 232Th by neutrons in the energy range from 3.2-17.9 MeV, Nuclear Physics, 2010, vol.73, No.6, pp.947-955. (in russian)

#Half-life [s]Relative abundance a(i)
156.279 ± 0.4110.039 ± 0.001
221.252 ± 0.1970.149 ± 0.003
35.454 ± 0.0820.161 ± 0.003
42.265 ± 0.0300.482 ± 0.006
50.578 ± 0.0120.130 ± 0.003
60.214 ± 0.0050.038 ± 0.001

Average Half-life : 7.41 ± 0.09 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
00.661
T2
00.19-0.071
a3
00.190.080.321
T3
00.11-0.30.49-0.081
a4
00.560.490.52-0.030.381
T4
00.150.130.26-0.29-0.090.031
a5
00.070.060.070.010.03-0.050.141
T5
00.050.040.0400.03-0.070.0601
a6
00.010.010.010000.02-0.0101
T6
00.010.010.0100-0.010.020001

8-Groups
Expanded Model using a fixed set of Half-lives
G. D. Spriggs, J. M. Campbell and V. M. Piksaikin, An 8-Group Neutron Model Based on a Consistent Set of Half-Lives, Los Alamos National Laboratory report LA-UR-98-1619, Rev. 3, (October 6, 1999).

#Half-life [s]Relative abundance a(i)
155.6 0.039 ± 0.001
224.5 0.078 ± 0.002
316.3 0.086 ± 0.001
45.21 0.136 ± 0.003
52.37 0.461 ± 0.003
61.04 0.094 ± 0.003
70.424 0.079 ± 0.004
80.195 0.028 ± 0.001

Average Half-life : 7.44 ± 0.08 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
001
T2
0001
a3
00-0.7801
T3
000001
a4
000.480-0.701
T4
00000001
a5
000.2800.120-0.5701
T5
0000000001
a6
000.040-0.0600.250-0.4901
T6
000000000001
a7
000.040-0.0400.110-0.120-0.1501
T7
00000000000001
a8
000.010-0.0100.010-0.010-0.020-0.0301
T8
0000000000000001


233U
Energy: Thermal Spectrum 6-groups
6-Groups
Original Model - V. M. Piksaikin, L. E. Kazakov et al.,RELATIVE YIELD AND PERIOD OF INDIVIDUAL GROUPS OF DELAYED NEUTRONS IN 233U, 235U AND 239Pu FISSION BY EPITHERMAL NEUTRONS, Atomic Energy, Vol. 92, No. 2, pp 135-142, 2002. (in English)

#Half-life [s]Relative abundance a(i)
154.64 ± 0.190.085 ± 0.001
220.77 ± 0.130.291 ± 0.004
35.25 ± 0.050.254 ± 0.004
42.14 ± 0.030.285 ± 0.003
50.611 ± 0.0130.051 ± 0.001
60.276 ± 0.0060.034 ± 0.001

Average Half-life : 12.67 ± 0.11 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
00.851
T2
00.650.351
a3
00.50.390.521
T3
00.21-0.180.62-0.11
a4
00.510.330.56-0.220.651
T4
00.040.11-0.02-0.5-0.050.161
a5
00.050.040.05-0.010.03-0.050.121
T5
00.030.020.0400.04-0.050.0501
a6
00.020.020.0100.01-0.010.05-0.0101
T6
00.020.010.0200.01-0.020.05-0.01001

8-Groups
Expanded Model using a fixed set of Half-lives
V. M. Piksaikin, L. E. Kazakov et al.,RELATIVE YIELD AND PERIOD OF INDIVIDUAL GROUPS OF DELAYED NEUTRONS IN 233U, 235U AND 239Pu FISSION BY EPITHERMAL NEUTRONS, Atomic Energy, Vol. 92, No. 2, 2002. (in English) V.M. Piksaikin et al., Relative abundances and periods of delayed neutrons from fission of U-233, U235 and Pu-239 by epithermal neutrons, Atomic energy, 2002, N0.2, pp.135-142. (in Russian)
V.M. Piksaikin, A.S. Egorov, K.V. Mitrofanov. THE ABSOLUTE TOTAL DELAYED NEUTRON YIELDS, RELATIVE ABUNDANCES AND HALF-LIVES OF DELAYED NEUTRON GROUPS FROM NEUTRON INDUCED FISSION OF 232Th, 233U, 236U, 239Pu AND 241Am. INDC(NDS) - 0646, 2013

#Half-life [s]Relative abundance a(i)
155.6 0.078 ± 0.003
224.5 0.164 ± 0.006
316.3 0.15 ± 0.005
45.21 0.209 ± 0.008
52.37 0.287 ± 0.009
61.04 0.046 ± 0.002
70.424 0.048 ± 0.002
80.195 0.0173 ± 0.0009

Average Half-life : 12.64 ± 0.24 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
00.481
T2
00.570.081
a3
00.4-0.230.771
T3
0-0.03-0.63-0.24-0.161
a4
00.380.10.240.090.21
T4
00.14-0.20.11-0.250.54-0.11
a5
00.560.220.460.20.08-0.30.591
T5
0-0.03-0.03-0.100.06-0.57-0.040.171
a6
00.060.030.050.030.01-0.020.03-0.070.161
T6
00.0100.0200.01-0.010.06-0.05-0.050.011
a7
00.050.020.030.020-0.010-0.030.13-0.020.031
T7
00.030.010.020.010-0.010.01-0.040.09-0.01001
a8
00.0100.01000000.0200.01-0.0101
T8
00.0100.010000-0.010.0300.01-0.01001

Energy: 0.59MeV
6-Groups
Original Model - Piksaikin V.M., Roshchenko V.A., Isaev S.G., et al., Cumulative Yields and Average Half-Life of Delayed Neutron Precursors From Neutron Induced Fission of U-233 Proc. of XII-th International Seminar on Interaction of Neutrons with Nuclei Neutron Spectroscopy, Nuclear Structure, Related Topics, Dubna, Russia, 24-28 May, 2004, pp.342-353.

#Half-life [s]Relative abundance a(i)
154.6 ± 0.3850.086 ± 0.002
220.9 ± 0.2280.275 ± 0.006
35.66 ± 0.1040.233 ± 0.006
42.31 ± 0.0580.310 ± 0.007
50.539 ± 0.0190.074 ± 0.003
60.221 ± 0.0080.023 ± 0.001

Average Half-life : 12.50 ± 0.19 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
00.81
T2
00.380.131
a3
00.390.260.521
T3
00.06-0.320.54-0.031
a4
00.490.390.5-0.110.451
T4
00.140.150.16-0.3-0.050.091
a5
00.050.040.040.010.03-0.040.091
T5
00.040.030.0400.04-0.040.0501
a6
00.010.0100000.01001
T6
00.010.010.0100-0.010.020001

8-Groups
Expanded Model using a fixed set of Half-lives
V.M. Piksaikin, A.S. Egorov, K.V. Mitrofanov. THE ABSOLUTE TOTAL DELAYED NEUTRON YIELDS, RELATIVE ABUNDANCES AND HALF-LIVES OF DELAYED NEUTRON GROUPS FROM NEUTRON INDUCED FISSION OF 232Th, 233U, 236U, 239Pu AND 241Am. INDC(NDS) - 0646, 2013

#Half-life [s]Relative abundance a(i)
155.6 0.079 ± 0.003
224.5 0.159 ± 0.006
316.3 0.143 ± 0.005
45.21 0.219 ± 0.008
52.37 0.291 ± 0.009
61.04 0.026 ± 0.001
70.424 0.073 ± 0.004
80.195 0.009 ± 0.001

Average Half-life : 12.51 ± 0.24 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
001
T2
0001
a3
00-0.8401
T3
000001
a4
000.580-0.7601
T4
00000001
a5
00-0.0300.30-0.7301
T5
0000000001
a6
000.010-0.0100.060-0.1801
T6
000000000001
a7
000.030-0.0400.120-0.250-0.0401
T7
00000000000001
a8
0000000.010-0.01000-0.0101
T8
0000000000000001

Energy: 14.7 MeV
6-Groups
Original Model - L. V. EAST, R. H. AUGUSTON, and H. O. MENLOVE, Delayed Neutron Abundances and Half-Lives for 14.7-MeV Fission,” excerpt from Los Alamos National Laboratory Program Status Report LA-4605-MS (September-December, 1970), p. 15.
L. V. EAST, R. H. AUGUSTSON, H. O. MENLOVE, and C. F. MASTERS, Delayed- Neutron Abundances and Half-Lives from 14.7-MeV Fission,” Trans Amer. Nucl. Soc., 13, 760 (November, 1970).

#Half-life [s]Relative abundance a(i)
155.6 ± 0.4000.095 ± 0.002
219.3 ± 0.2000.208 ± 0.002
35.04 ± 0.2000.242 ± 0.016
42.18 ± 0.0800.327 ± 0.014
50.570 ± 0.0300.087 ± 0.004
60.221 ± 0.0000.041 ± 0.003

Average Half-life : 11.29 ± 0.17 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
00.561
T2
00.73-0.031
a3
00.360.170.361
T3
00.32-0.450.66-0.251
a4
00.480.020.56-0.430.761
T4
0-0.020.11-0.07-0.660.060.241
a5
00.070.050.06-0.050.02-0.110.281
T5
00.0300.04-0.020.05-0.120.110.021
a6
00.020.020.01-0.010-0.010.06-0.030.021
T6
00.020.010.01-0.010-0.020.06-0.030-0.011

8-Groups
Expanded Model using a fixed set of Half-lives
G. D. Spriggs, J. M. Campbell and V. M. Piksaikin, An 8-Group Neutron Model Based on a Consistent Set of Half-Lives, Los Alamos National Laboratory report LA-UR-98-1619, Rev. 3, (October 6, 1999).

#Half-life [s]Relative abundance a(i)
155.6 0.093 ± 0.002
224.5 0.078 ± 0.002
316.3 0.140 ± 0.003
45.21 0.204 ± 0.018
52.37 0.330 ± 0.008
61.04 0.058 ± 0.009
70.424 0.072 ± 0.001
80.195 0.026 ± 0.002

Average Half-life : 11.28 ± 0.17 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
001
T2
0001
a3
00-0.8501
T3
000001
a4
000.530-0.7401
T4
00000001
a5
00-0.0400.310-0.7601
T5
0000000001
a6
000.020-0.0400.150-0.3801
T6
000000000001
a7
000.030-0.0400.120-0.210-0.0901
T7
00000000000001
a8
000.010-0.0100.020-0.030-0.020-0.0301
T8
0000000000000001


235U
Energy: Thermal spectrum 6-groups
6-Groups
Original Model - V. M. Piksaikin, L. E. Kazakov et al.,RELATIVE YIELD AND PERIOD OF INDIVIDUAL GROUPS OF DELAYED NEUTRONS IN 233U, 235U AND 239Pu FISSION BY EPITHERMAL NEUTRONS, Atomic Energy, Vol. 92, No. 2, p. 147, 2002. (in English)
V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222.

#Half-life [s]Relative abundance a(i)
153.9 ± 0.2840.038 ± 0.001
222.3 ± 0.1320.211 ± 0.004
36.40 ± 0.0830.197 ± 0.004
42.26 ± 0.0330.396 ± 0.005
50.494 ± 0.0170.132 ± 0.004
60.179 ± 0.0060.026 ± 0.001

Average Half-life : 8.98 ± 0.11 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
00.861
T2
00.430.241
a3
00.370.410.261
T3
00.16-0.140.68-0.381
a4
00.670.550.68-0.070.651
T4
00.130.10.18-0.590.360.241
a5
00.130.130.11-0.020.06-0.020.31
T5
00.090.080.080.010.05-0.10.22-0.011
a6
00.020.010.020.0100.010.01-0.0101
T6
00.010.010.010000.03-0.02001

8-Groups
Expanded Model using a fixed set of Half-lives
Expansion method: V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222.

#Half-life [s]Relative abundance a(i)
155.6 0.034 ± 0.001
224.5 0.153 ± 0.006
316.3 0.086 ± 0.004
45.21 0.212 ± 0.007
52.37 0.298 ± 0.009
61.04 0.105 ± 0.005
70.424 0.073 ± 0.004
80.195 0.039 ± 0.002

Average Half-life : 9.00 ± 0.18 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
001
T2
0001
a3
00-0.7301
T3
000001
a4
000.590-0.7401
T4
00000001
a5
000.1800.210-0.5701
T5
0000000001
a6
000.080-0.0800.250-0.5201
T6
000000000001
a7
000.050-0.0500.10-0.110-0.1501
T7
00000000000001
a8
000.010-0.0100.020-0.020-0.040-0.0401
T8
0000000000000001

Energy: 0.81 MeV
6-Groups
Original Model - Piksaikin, V.M., Kazakov, L.E., Isaev, S.G., Tarasko, M.Z., Roshchenko, V.A., Tertytchnyi, R.G., Springs, G.D., Campbell, J.M., 2002. Energy dependence of relative abundances and periods of delayed neutrons from neutron-induced fission of 235U, 238U, 239Pu in 6- and 8-group model representation. Prog. Nucl. Energy 41 (1-4), 203-222.

#Half-life [s]Relative abundance a(i)
154.9 ± 0.1550.036 ± 0.0004
221.9 ± 0.0810.224 ± 0.002
35.88 ± 0.0500.188 ± 0.003
42.23 ± 0.0200.398 ± 0.003
50.488 ± 0.0080.129 ± 0.002
60.180 ± 0.0030.025 ± 0.0005

Average Half-life : 8.96 ± 0.06 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
00.821
T2
00.420.161
a3
00.330.270.381
T3
00.18-0.170.68-0.171
a4
00.660.540.64-0.030.591
T4
00.130.160.1-0.480.080.121
a5
00.10.10.0800.03-0.050.221
T5
00.060.050.0600.04-0.090.15-0.011
a6
00.010.010.010000.02-0.0101
T6
00.010.010.010000.02-0.01001

8-Groups
Expanded Model using a fixed set of Half-lives
Expansion method: V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222.

#Half-life [s]Relative abundance a(i)
155.6 0.033 ± 0.001
224.5 0.144 ± 0.006
316.3 0.104 ± 0.004
45.21 0.173 ± 0.007
52.37 0.351 ± 0.011
61.04 0.073 ± 0.004
70.424 0.095 ± 0.005
80.195 0.027 ± 0.001

Average Half-life : 8.91 ± 0.18 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
001
T2
0001
a3
00-0.7101
T3
000001
a4
000.570-0.7401
T4
00000001
a5
000.2500.190-0.5401
T5
0000000001
a6
000.050-0.0500.180-0.401
T6
000000000001
a7
000.060-0.0600.150-0.190-0.1401
T7
00000000000001
a8
000.010-0.0100.020-0.010-0.020-0.0401
T8
0000000000000001

Energy: 14.7 MeV
6-Groups
Original Model - L. V. EAST, R. H. AUGUSTON, and H. O. MENLOVE, Delayed Neutron Abundances and Half-Lives for 14.7-MeV Fission,” excerpt from Los Alamos National Laboratory Program Status Report LA-4605-MS (September-December, 1970), p. 15.
L. V. EAST, R. H. AUGUSTSON, H. O. MENLOVE, and C. F. MASTERS, Delayed- Neutron Abundances and Half-Lives from 14.7-MeV Fission,” Trans Amer. Nucl. Soc., 13, 760 (November, 1970).

#Half-life [s]Relative abundance a(i)
154.6 ± 0.5000.057 ± 0.001
220.2 ± 0.2000.192 ± 0.002
35.36 ± 0.3000.190 ± 0.020
42.38 ± 0.1000.357 ± 0.013
50.770 ± 0.0700.120 ± 0.009
60.240 ± 0.0100.084 ± 0.007

Average Half-life : 8.97 ± 0.15 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
00.781
T2
00.690.241
a3
00.340.250.341
T3
00.31-0.20.68-0.241
a4
00.630.360.66-0.230.711
T4
0-0.010.09-0.07-0.6300.081
a5
00.160.140.13-0.040.05-0.110.391
T5
00.02-0.010.04-0.020.07-0.180.10.071
a6
00.060.060.0500.0100.1-0.070.081
T6
00.050.050.04-0.010.01-0.020.12-0.060.04-0.031

8-Groups
Expanded Model using a fixed set of Half-lives
G. D. Spriggs, J. M. Campbell and V. M. Piksaikin, An 8-Group Neutron Model Based on a Consistent Set of Half-Lives, Los Alamos National Laboratory report LA-UR-98-1619, Rev. 3, (October 6, 1999).

#Half-life [s]Relative abundance a(i)
155.6 0.052 ± 0.001
224.5 0.099 ± 0.002
316.3 0.107 ± 0.004
45.21 0.185 ± 0.022
52.37 0.346 ± 0.007
61.04 0.079 ± 0.009
70.424 0.087 ± 0.002
80.195 0.045 ± 0.008

Average Half-life : 8.97 ± 0.15 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
001
T2
0001
a3
00-0.8101
T3
000001
a4
000.550-0.7401
T4
00000001
a5
000.100.230-0.6601
T5
0000000001
a6
000.040-0.0600.20-0.4501
T6
000000000001
a7
000.050-0.0500.140-0.190-0.1401
T7
00000000000001
a8
000.010-0.0100.030-0.030-0.030-0.0601
T8
0000000000000001


238U
Energy: 3.75 MeV
6-Groups
Original Model - Piksaikin, V.M., Kazakov, L.E., Isaev, S.G., Tarasko, M.Z., Roshchenko, V.A., Tertytchnyi, R.G., Springs, G.D., Campbell, J.M., 2002. Energy dependence of relative abundances and periods of delayed neutrons from neutron-induced fission of 235U, 238U, 239Pu in 6- and 8-group model representation. Prog. Nucl. Energy 41 (1-4), 203-222.

#Half-life [s]Relative abundance a(i)
152.9 ± 0.1690.013 ± 0.0001
221.8 ± 0.0550.133 ± 0.001
35.12 ± 0.0320.164 ± 0.002
41.97 ± 0.0130.389 ± 0.003
50.496 ± 0.0070.228 ± 0.003
60.173 ± 0.0030.074 ± 0.001

Average Half-life : 5.31 ± 0.03 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1.00
T1
0.001.00
a2
0.000.771.00
T2
0.000.020.091.00
a3
0.000.260.360.191.00
T3
0.000.06-0.060.65-0.401.00
a4
0.000.530.630.500.000.571.00
T4
0.000.090.130.02-0.580.170.001.00
a5
0.000.240.300.150.020.090.020.421.00
T5
0.000.090.120.08-0.010.06-0.170.280.031.00
a6
0.000.030.040.020.000.010.020.04-0.040.031.00
T6
0.000.040.050.030.000.010.020.06-0.050.02-0.011.00

8-Groups
Expanded Model using a fixed set of Half-lives
Expansion method: V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222.

#Half-life [s]Relative abundance a(i)
155.6 0.010 ± 0.0004
224.5 0.091 ± 0.004
316.3 0.053 ± 0.002
45.21 0.122 ± 0.005
52.37 0.331 ± 0.009
61.04 0.158 ± 0.007
70.424 0.154 ± 0.007
80.195 0.081 ± 0.004

Average Half-life : 5.31 ± 0.11 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1.00
T1
0.001.00
a2
0.000.001.00
T2
0.000.000.001.00
a3
0.000.00-0.430.001.00
T3
0.000.000.000.000.001.00
a4
0.000.000.560.00-0.610.001.00
T4
0.000.000.000.000.000.000.001.00
a5
0.000.000.530.000.180.00-0.270.001.00
T5
0.000.000.000.000.000.000.000.000.001.00
a6
0.000.000.220.00-0.070.000.370.00-0.360.001.00
T6
0.000.000.000.000.000.000.000.000.000.000.001.00
a7
0.000.000.200.00-0.050.000.170.000.090.00-0.320.001.00
T7
0.000.000.000.000.000.000.000.000.000.000.000.000.001.00
a8
0.000.000.050.00-0.010.000.030.000.050.00-0.060.00-0.120.001.00
T8
0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.001.00

Energy: 14.23 MeV
6-Groups
Original Model - V.M. Piksaikin, V.A. Roshchenko, G.G. Korolev, Relative yield of delayed neutrons and half-life of their precursor nuclei from 238U fission by 14.2-17.9 MeV neutrons,” At. Energy 102, 124 (2007).

#Half-life [s]Relative abundance a(i)
153.4 ± 0.4000.022 ± 0.001
220.9 ± 0.2000.144 ± 0.003
34.64 ± 0.0800.188 ± 0.005
41.92 ± 0.0400.412 ± 0.008
50.500 ± 0.0100.180 ± 0.005
60.176 ± 0.0050.054 ± 0.002

Average Half-life : 5.95 ± 0.08 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1.00
T1
0.001.00
a2
0.000.661.00
T2
0.000.01-0.091.00
a3
0.000.210.200.311.00
T3
0.000.04-0.250.55-0.151.00
a4
0.000.460.510.42-0.040.401.00
T4
0.000.110.180.11-0.35-0.12-0.011.00
a5
0.000.100.110.090.020.05-0.050.181.00
T5
0.000.070.070.060.010.06-0.080.09-0.011.00
a6
0.000.010.010.010.000.000.000.02-0.010.001.00
T6
0.000.010.020.010.000.010.000.03-0.010.000.001.00

8-Groups
Expanded Model using a fixed set of Half-lives
Expansion method: V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222.
V.M.Piksaikin et al. Generation of correlation and covariance matrices for the recommended Temporal DN parameters in 6- and 8- group models, EPJ Nuclear Sci. Technol., 6, 54,2020

#Half-life [s]Relative abundance a(i)
155.6 0.0183 ± 4.70E-04
224.5 0.08475 ± 0.00218
316.3 0.06922 ± 0.00144
45.21 0.11161 ± 0.00292
52.37 0.38513 ± 0.00422
61.04 0.15423 ± 0.0046
70.424 0.11152 ± 0.00655
80.195 0.06524 ± 0.00442

Average Half-life : 5.94 ± 0.07 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
001
T2
0001
a3
00-0.6101
T3
000001
a4
000.490-0.6701
T4
00000001
a5
000.4300.110-0.4401
T5
0000000001
a6
000.140-0.0900.350-0.4901
T6
000000000001
a7
000.090-0.0500.100.010-0.2901
T7
00000000000001
a8
000.030-0.0100.0200.020-0.070-0.0801
T8
0000000000000001


239PU
Energy: Thermal spectrum
6-Groups
Original Model - V. M. Piksaikin, L. E. Kazakov et al.,RELATIVE YIELD AND PERIOD OF INDIVIDUAL GROUPS OF DELAYED NEUTRONS IN 233U, 235U AND 239Pu FISSION BY EPITHERMAL NEUTRONS, Atomic Energy, Vol. 92, No. 2, p. 147, 2002. (in English)
V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222.

#Half-life [s]Relative abundance a(i)
153.198 ± 0.4640.035 ± 0.001
222.609 ± 0.1070.302 ± 0.007
35.59 ± 0.0840.204 ± 0.005
42.17 ± 0.0400.332 ± 0.006
50.621 ± 0.0220.084 ± 0.003
60.256 ± 0.0090.043 ± 0.002

Average Half-life : 10.59 ± 0.17 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
00.821
T2
0-0.050.191
a3
00.320.460.341
T3
0-0.09-0.110.65-0.271
a4
00.50.640.5-0.030.541
T4
00.060.110-0.530.090.171
a5
00.090.120.060.010.03-0.040.211
T5
00.040.050.050.010.05-0.070.080.011
a6
00.020.030.010000.05-0.020.011
T6
00.030.030.0200.01-0.010.06-0.02001

8-Groups
Expanded Model using a fixed set of Half-lives
V.M. Piksaikin, A.S. Egorov, K.V. Mitrofanov. THE ABSOLUTE TOTAL DELAYED NEUTRON YIELDS, RELATIVE ABUNDANCES AND HALF-LIVES OF DELAYED NEUTRON GROUPS FROM NEUTRON INDUCED FISSION OF 232Th, 233U, 236U, 239Pu AND 241Am. INDC(NDS) - 0646, 2013; V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222;

#Half-life [s]Relative abundance a(i)
155.6 0.029 ± 0.001
224.5 0.240 ± 0.008
316.3 0.083 ± 0.004
45.21 0.188 ± 0.007
52.37 0.289 ± 0.010
61.04 0.089 ± 0.004
70.424 0.059 ± 0.003
80.195 0.023 ± 0.001

Average Half-life : 10.63 ± 0.22

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1.00
T1
0.001.00
a2
0.000.001.00
T2
0.000.000.001.00
a3
0.000.00-0.670.001.00
T3
0.000.000.000.000.001.00
a4
0.000.000.540.00-0.720.001.00
T4
0.000.000.000.000.000.000.001.00
a5
0.000.000.260.000.170.00-0.550.001.00
T5
0.000.000.000.000.000.000.000.000.001.00
a6
0.000.000.060.00-0.050.000.200.00-0.450.001.00
T6
0.000.000.000.000.000.000.000.000.000.000.001.00
a7
0.000.000.050.00-0.040.000.110.00-0.140.00-0.140.001.00
T7
0.000.000.000.000.000.000.000.000.000.000.000.000.001.00
a8
0.000.000.010.00-0.010.000.010.00-0.010.00-0.020.00-0.020.001.00
T8
0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.001.00

Energy: 0.86MeV
6-Groups
Original Model - V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222;
V.M. Piksaikin et al., Energy dependence of relative abundances and periods of delayed neutrons from fission of Pu-239 in the energy range of primary neutrons from 0.37 to 4.97 MeV, Atomic Energy 92, 2002, No.3, pp.233-239;

#Half-life [s]Relative abundance a(i)
153.81 ± 0.4080.037 ± 0.001
222.19 ± 0.1030.288 ± 0.005
35.25 ± 0.0670.216 ± 0.005
42.06 ± 0.0340.321 ± 0.005
50.547 ± 0.0160.102 ± 0.003
60.217 ± 0.0060.034 ± 0.001

Average Half-life : 10.27 ± 0.13 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1.00
T1
0.001.00
a2
0.000.881.00
T2
0.000.180.321.00
a3
0.000.170.190.261.00
T3
0.000.01-0.040.63-0.101.00
a4
0.000.570.650.43-0.040.321.00
T4
0.000.080.130.08-0.42-0.22-0.221.00
a5
0.000.430.500.330.020.07-0.070.591.00
T5
0.000.010.000.05-0.020.15-0.380.070.211.00
a6
0.000.080.090.050.010.010.010.07-0.060.141.00
T6
0.000.040.050.030.000.000.000.08-0.040.000.011.00

8-Groups
Expanded Model using a fixed set of Half-lives
V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222.
V.M. Piksaikin, A.S. Egorov, K.V. Mitrofanov. THE ABSOLUTE TOTAL DELAYED NEUTRON YIELDS, RELATIVE ABUNDANCES AND HALF-LIVES OF DELAYED NEUTRON GROUPS FROM NEUTRON INDUCED FISSION OF 232Th, 233U, 236U, 239Pu AND 241Am. INDC(NDS) - 0646, 2013;

#Half-life [s]Relative abundance a(i)
155.6 0.032 ± 0.001
224.5 0.212 ± 0.007
316.3 0.097 ± 0.004
45.21 0.173 ± 0.007
52.37 0.300 ± 0.010
61.04 0.088 ± 0.004
70.424 0.076 ± 0.004
80.195 0.022 ± 0.001

Average Half-life : 10.29±0.20 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1.00
T1
0.001.00
a2
0.000.001.00
T2
0.000.000.001.00
a3
0.000.00-0.670.001.00
T3
0.000.000.000.000.001.00
a4
0.000.000.540.00-0.720.001.00
T4
0.000.000.000.000.000.000.001.00
a5
0.000.000.260.000.170.00-0.550.001.00
T5
0.000.000.000.000.000.000.000.000.001.00
a6
0.000.000.060.00-0.050.000.200.00-0.450.001.00
T6
0.000.000.000.000.000.000.000.000.000.000.001.00
a7
0.000.000.050.00-0.040.000.110.00-0.140.00-0.140.001.00
T7
0.000.000.000.000.000.000.000.000.000.000.000.000.001.00
a8
0.000.000.010.00-0.010.000.010.00-0.010.00-0.020.00-0.020.001.00
T8
0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.001.00

Energy: 15.8 MeV
6-Groups
Original Model - Roshchenko V.A., Piksaikin V.M., Kazakov L.E., Korolev G.G. RELATIVE YIELD OF DELAYED NEUTRONS AND HALF-LIFE OF THEIR PRECURSOR NUCLEI WITH FISSIONING OF 239PU BY 14.2-17.9 MEV NEUTRONS. Atomic Energy, 2006. V. 101. N.  6. pp. 897-900. 

#Half-life [s]Relative abundance a(i)
155.76 ± 0.690.054 ± 0.001
220.97 ± 0.270.186 ± 0.004
34.75 ± 0.090.241 ± 0.006
42.13 ± 0.050.362 ± 0.008
50.560 ± 0.0200.118 ± 0.003
60.215 ± 0.0060.039 ± 0.001

Average Half-life : 8.90 ± 0.12 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1.00
T1
0.001.00
a2
0.000.881.00
T2
0.000.180.321.00
a3
0.000.170.190.261.00
T3
0.000.01-0.040.63-0.101.00
a4
0.000.570.650.43-0.040.321.00
T4
0.000.080.130.08-0.42-0.22-0.221.00
a5
0.000.430.500.330.020.07-0.070.591.00
T5
0.000.010.000.05-0.020.15-0.380.070.211.00
a6
0.000.080.090.050.010.010.010.07-0.060.141.00
T6
0.000.040.050.030.000.000.000.08-0.040.000.011.00

8-Groups
Expanded Model using a fixed set of Half-lives
V.M. Piksaikin, L.E. Kazakov, S.G. Isaev, M.Z. Tarasko, V.A.Roshchenko, G.D. Spriggs, J.M. Campbell, Energy Dependence of Relative Abundances and Periods of Delayed Neutrons from Neutron Induced Fission of U-235, U-238, Pu-239 in 6- and 8-group Model Representation, Progress in Nuclear Energy, 2002, v.41, No.1-4, pp.203-222.
V.M.Piksaikin et al. Generation of correlation and covariance matrices for the recommended Temporal DN parameters in 6- and 8- group models, EPJ Nuclear Sci. Technol., 6, 54,2020

#Half-life [s]Relative abundance a(i)
155.6000 0.0530 ± 0.0026
224.5000 0.1024 ± 0.0050
316.3000 0.0932 ± 0.0043
45.2100 0.1769 ± 0.0086
52.3700 0.3812 ± 0.0114
61.0400 0.0876 ± 0.0059
70.4240 0.0829 ± 0.0057
80.1950 0.0229 ± 0.0016

Average Half-life : 8.92 ± 0.21

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1.00
T1
0.001.00
a2
0.000.001.00
T2
0.000.000.001.00
a3
0.000.00-0.810.001.00
T3
0.000.000.000.000.001.00
a4
0.000.000.520.00-0.730.001.00
T4
0.000.000.000.000.000.000.001.00
a5
0.000.000.120.000.210.00-0.660.001.00
T5
0.000.000.000.000.000.000.000.000.001.00
a6
0.000.000.060.00-0.070.000.250.00-0.540.001.00
T6
0.000.000.000.000.000.000.000.000.000.000.001.00
a7
0.000.000.050.00-0.050.000.130.00-0.150.00-0.180.001.00
T7
0.000.000.000.000.000.000.000.000.000.000.000.000.001.00
a8
0.000.000.010.00-0.010.000.010.00-0.010.00-0.020.00-0.030.001.00
T8
0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.001.00


241PU
Energy: Thermal Spectrum
5-Groups
Original Model - S. A. COX, Delayed-Neutron Studies from the Thermal-Neutron-Induced Fission of 241Pu,” Physical Review, 123, No. 5, 1735 (September 1, 1961).

#Half-life [s]Relative abundance a(i)
154 ± 1.0000.010 ± 0.003
223.2 ± 0.5000.233 ± 0.006
35.6 ± 0.6000.176 ± 0.026
41.97 ± 0.1000.396 ± 0.051
50.43 ± 0.0400.185 ± 0.019

Average Half-life : 7.77 ± 0.32 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5
a1
1
T1
01
a2
-0.4601
T2
-0.1500.761
a3
0.180-0.090.221
T3
-0.0400.310.460.161
a4
0.080-0.020.070.66-0.461
T4
-0.0600.530.760.50.060.571
a5
-0.0100.070.10.05-0.620.330.111
T5
-0.0300.230.320.120.010.090.090.431

7-Groups
Expanded Model using a fixed set of Half-lives
G. D. Spriggs, J. M. Campbell and V. M. Piksaikin, An 8-Group Neutron Model Based on a Consistent Set of Half-Lives, Los Alamos National Laboratory report LA-UR-98-1619, Rev. 3, (October 6, 1999).

#Half-life [s]Relative abundance a(i)
155.6 0.011 ± 0.003
224.5 0.166 ± 0.003
316.3 0.095 ± 0.011
45.21 0.100 ± 0.025
52.37 0.382 ± 0.043
61.04 0.073 ± 0.030
70.424 0.174 ± 0.012

Average Half-life : 7.78 ± 0.32 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7
a1
1
T1
01
a2
001
T2
0001
a3
00-0.1801
T3
000001
a4
000.530-0.5301
T4
00000001
a5
000.7300.230-0.101
T5
0000000001
a6
000.070-0.0100.150-0.1701
T6
000000000001
a7
000.240-0.0300.290-0.030-0.1801
T7
00000000000001

Energy: Fission Spectrum
6-Groups
Original Model - A. N. GUDKOV et al., Measurement of the Delayed-Neutron Yields in the Fission of 233U, 236U, 237Np, 240Pu, and 241Pu by Neutrons from the Spectrum of a Fast Reactor,” At. Energ., 66, No. 2, 100 (1989).

#Half-life [s]Relative abundance a(i)
155.9 ± 0.0000.017 ± 0.003
223.0 ± 0.0000.218 ± 0.022
35.64 ± 0.0000.179 ± 0.019
42.10 ± 0.0000.362 ± 0.040
50.578 ± 0.0000.189 ± 0.042
60.201 ± 0.0000.035 ± 0.014

Average Half-life : 7.85 ± 0.54 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6
a1
1
T1
01
a2
001
T2
0001
a3
000.1201
T3
000001
a4
000.680-0.4601
T4
00000001
a5
000.0800.360-0.4301
T5
0000000001
a6
000.0100.01000-0.0801
T6
000000000001

8-Groups
Expanded Model using a fixed set of Half-lives
G. D. Spriggs, J. M. Campbell and V. M. Piksaikin, An 8-Group Neutron Model Based on a Consistent Set of Half-Lives, Los Alamos National Laboratory report LA-UR-98-1619, Rev. 3, (October 6, 1999).

#Half-life [s]Relative abundance a(i)
155.6 0.016 ± 0.002
224.5 0.175 ± 0.019
316.3 0.055 ± 0.012
45.21 0.170 ± 0.018
52.37 0.280 ± 0.035
61.04 0.166 ± 0.033
70.424 0.113 ± 0.035
80.195 0.024 ± 0.006

Average Half-life : 7.85 ± 0.53 s

Correlation matrix
a1T1a2T2a3T3a4T4a5T5a6T6a7T7a8T8
a1
1
T1
01
a2
001
T2
0001
a3
00-0.5301
T3
000001
a4
000.570-0.6601
T4
00000001
a5
000.3800.140-0.4101
T5
0000000001
a6
000.210-0.100.360-0.4901
T6
000000000001
a7
000.110-0.0600.12000-0.2901
T7
00000000000001
a8
000.010-0.0100.0100.010-0.030-0.0301
T8
0000000000000001