Evaluation of neutron nuclear data on tellurium isotopes

Figures & data

Table 1. Isotopic abundances and reaction Q-values of tellurium isotopes.

	^120Te	^121mTe	^122Te	^123Te	^124Te	^125Te	^126Te	^127mTe	^128Te	^129mTe	^130Te	^131mTe	^132Te
$E_{\text{ex}}$ (keV)*	0.0	294.0	0.0	0.0	0.0	0.0	0.0	88.2	0.0	105.5	0.0	182.3	0.0
Abundances (%)	0.09	164.2d**	2.55	0.89	4.74	7.07	18.84	106.1d**	31.74	33.6d**	34.08	33.25h**	3.204d**
Q-values (MeV)
(n, γ)	7.218	10.128	6.929	9.424	6.569	9.114	6.288	8.871	6.082	8.525	5.929	8.226	5.834
(n, p)	−0.198	2.120	−1.202	0.835	−2.122	0.016	−2.884	−0.710	−3.601	−1.488	−4.277	−2.257	−4.726
(n, α)	6.642	9.045	5.401	7.580	4.326	6.570	3.402	5.690	2.553	4.769	1.794	3.954	1.058
(n, d)	−4.992	−4.897	−5.783	−5.906	−6.365	−6.466	−6.873	−6.859	−7.356	−7.354	−7.788	−7.800	−8.259
(n, t)	−8.284	−5.658	−8.768	−6.455	−9.073	−6.677	−9.323	−6.816	−9.472	−7.076	−9.621	−7.278	−9.769
(n, ^3He)	−4.608	−5.049	−6.069	−6.828	−7.438	−8.062	−8.688	−9.154	−9.832	−10.258	−10.877	−11.293	−11.903
(n, 2n)	−10.291	−6.924	−9.834	−6.929	−9.424	−6.569	−9.114	−6.200	−8.782	−5.977	−8.420	−5.747	−8.044
(n, np)	−7.216	−7.122	−8.008	−8.131	−8.589	−8.691	−9.098	−9.083	−9.581	−9.578	−10.013	−10.025	−10.483
(n, nα)	−0.301	−0.282	−1.083	−1.528	−1.844	−2.243	−2.544	−2.797	−3.180	−3.424	−3.756	−3.953	−4.272
(n, nd)	−14.541	−11.915	−15.025	−12.712	−15.330	−12.934	−15.580	−13.073	−15.729	−13.333	−15.879	−13.535	−16.026
(n, 3n)	−17.826	−17.215	−17.052	−16.763	−16.353	−15.993	−15.683	−15.313	−15.070	−14.759	−14.502	−14.167	−13.973
(n, 2np)	−16.765	−14.140	−17.250	−14.937	−17.555	−15.158	−17.805	−15.298	−17.954	−15.558	−18.103	−15.760	−18.251

*Excitation energy in a target nucleus.

^**Half-lives are given for ^{121m, 127m, 129m, 131m, 132}Te which are unstable.

Table 2. Resolved and unresolved resonance regions.

Target		Unresolved
nuclei	Resolved resonance	resonance
^120Te	–	32 eV to 300 keV
^121mTe	–	10 eV to 100 keV
^122Te	10^−5 eV to 11 keV	11 to 300 keV
^123Te	10^−5 to 700 eV	700 eV to 200 keV
^124Te	10^−5 eV to 30 keV	30 to 300 keV
^125Te	10^−5 eV to 7 keV	7 to 300 keV
^126Te	10^−5 eV to 30 keV	30 to 300 keV
^127mTe	–	20 eV to 100 keV
^128Te	10^−5 eV to 8 keV	8 to 300 keV
^129mTe	–	80 eV to 100 keV
^130Te	10^−5 eV to 30.5 keV	30.5 to 300 keV
^131mTe	–	200 eV to 100 keV
^132Te	–	10 to 300 keV

Table 3. Thermal capture (C) and elastic scattering (E) cross sections in units of barns.

Target
nuclei	Reaction	Present	JENDL-4.0	Mughabghab [14]
^120Te	C	0.6563	2.341	2.340 ±0.306
	E	4.155	3.640	–
^121mTe	C	63.87	–	–
	E	4.324	–	–
^122Te	C	4.009	4.009	3.9±0.4
	E	2.508	2.508	2.03 ±0.20
^123Te	C	418.4	418.4	418 ±30
	E	0.5894	0.5894	–
^124Te	C	6.786	6.786	6.3±0.7
	E	3.653	3.653	8.0±0.2
^125Te	C	1.293	1.293	1.29± 0.16
	E	3.401	3.401	3.20±0.15
^126Te	C	0.4401	0.4401	0.44±0.06
	E	3.433	3.433	3.92±0.10
^127mTe	C	3.059	3381	–
	E	3.902	3.630	–
^128Te	C	0.1861	0.1861	0.200 ±0.008
	E	4.099	4.099	–
^129mTe	C	0.7698	1601	–
	E	3.649	3.400	–
^130Te	C	0.1862	0.1862	0.195 ±0.010
	E	3.836	3.836	–
^131mTe	C	0.1565	–	–
	E	3.138	–	–
^132Te	C	0.1394	0.1951	–
	E	5.308	5.373	–

Figure 1. Total and capture cross sections of ¹²³Te in the unresolved resonance region.

Figure 2. Total cross section of elemental Te.

Table 4. Optical model parameters for neutrons.

V^0R	=−34.40 − 6.18 × 10^−2A + 3.37 × 10^−4A^2 − 6.52 × 10^−7A^3 MeV
V^1R	=0.027
V^2R	=1.2 × 10^−4 MeV^−1
V^3R	=3.5 × 10^−7 MeV^−2
$V_R^{\text{DISP}}$	=94.88 MeV
$C_{\text{viso}}$	=24.3 MeV
λR	= 1.05 × 10^− 2 + 1.63 × 10^− 4V^0R MeV^−1
$W_D^{\text{DISP}}$	=9.8 MeV
${\text{WID}}_D$	=12.72 − 1.54 × 10^−2A + 7.14 × 10^−5A^2 MeV
$C_{\text{wiso}}$	=18.0 MeV
λD	=0.0140 MeV^−1
$W_V^{\text{DISP}}$	=23.0 MeV
${\text{WID}}_V$	$=105.05-14.13\times {[1.0+\text{exp}\{(A-100.21)/13.47\}]}^{-1}$ MeV
$V_{\text{SO}}^0$	=5.92 + 0.003A MeV
${\lambda }_{\text{SO}}$	=0.005 MeV^−1
$W_{\text{SO}}^{\text{DISP}}$	=−3.1 MeV
${\text{WID}}_{\text{SO}}$	=160.0 MeV
R^0R, D, V	=1.21A^1/3 fm
aR, D, V	=0.49 + 3.22 × 10^−3A − 2.07 × 10^−5A^2 + 4.47 × 10^−8A^3 fm
$R_{\text{SO}}^0$	=(1.18 − 0.65A^−1/3)A^1/3 fm
$a_{\text{SO}}$	=0.59 fm

Table 5. Coupling schemes used in the interaction between neutron and target.

Target nuclei	Coupled levels*	Deformation parameters
^120Te	0^+(g.s.), 2^+(0.056), 4^+(1.161), 6^+(1.776)	β2 = −0.1608
^121mTe	11/2^−(0.294), 13/2^−(0.975)	β2 = −0.1608
^122Te	0^+(g.s.), 2^+(0.564), 4^+(1.181), 6^+(1.751)	β2 = −0.1478
^123Te	1/2^+(g.s.), 3/2^+(0.440), 5/2^+(0.505)	β2 = −0.1478
^124Te	0^+(g.s.), 2^+(0.603), 4^+(1.249), 6^+(1.747)	β2 = −0.1356
^125Te	1/2^+(g.s.), 3/2^+(0.444), 5/2^+(0.463)	β2 = −0.1356
^126Te	0^+(g.s.), 2^+(0.666), 4^+(1.361), 6^+(1.776)	β2 = −0.1227
^127mTe	11/2^−(0.088), 13/2^−(1.545)	β2 = −0.1227
^128Te	0^+(g.s.), 2^+(0.743), 4^+(1.497), 6^+(1.811)	β2 = −0.1090
^129mTe	11/2^−(0.106), 13/2^−(1.110)	β2 = −0.1090
^130Te	0^+(g.s.), 2^+(0.840), 4^+(1.633), 6^+(1.815)	β2 = −0.1090
^131mTe	11/2^−(0.182), 13/2^−(1.015)	β2 = −0.0947
^132Te	0^+(g.s.), 2^+(0.974), 4^+(1.671), 6^+(1.775)	β2 = −0.0947

*The number in the parentheses indicates the excitation energy in MeV.

Table 6. Level density parameters for each nucleus.

	a(*)	Δ	$E_{\text{sh}}$	T	E0	Em	$E_{\text{level}}^{\text{highest}}$
Nuclei	1/MeV	MeV	MeV	MeV	MeV	MeV	MeV
^133Te	16.646	1.041	−5.789	0.915	−0.848	10.932	2.024
^132Te	16.543	2.089	−4.646	0.879	−0.096	10.944	3.015
^131Te	16.441	1.048	−3.422	0.828	−1.216	8.719	1.952
^130Te	16.337	2.105	−2.610	0.813	−0.401	9.581	2.878
^129Te	16.234	1.057	−1.461	0.737	−1.056	7.086	1.110
^128Te	16.131	2.121	−0.941	0.739	−0.223	8.301	2.749
^127Te	16.028	1.065	0.102	0.681	−0.999	6.359	1.568
^126Te	15.924	2.138	0.364	0.662	0.232	7.099	2.812
^125Te	15.820	1.073	1.249	0.664	−1.161	6.275	1.322
^124Te	15.717	2.155	1.308	0.643	0.178	6.962	2.483
^123Te	15.613	1.082	1.993	0.629	−0.932	5.774	1.427
^122Te	15.509	2.173	1.907	0.589	0.655	6.145	2.204
^121Te	15.405	1.091	2.469	0.665	−1.463	6.440	1.173
^120Te	15.300	2.191	2.144	0.553	1.012	5.595	2.567
^119Te	15.196	1.100	2.607	0.641	−1.135	5.983	1.185
^118Te	15.091	2.209	2.046	0.660	−0.016	7.222	1.517
^132Sb	16.543	0.000	−7.202	1.031	−2.417	14.670	0.529
^131Sb	16.441	1.048	−5.794	0.992	−1.873	13.703	2.166
^130Sb	16.337	0.000	−4.508	0.871	−2.060	8.454	1.097
^129Sb	16.234	1.057	−3.542	0.810	−0.811	8.051	2.263
^128Sb	16.131	0.000	−2.378	0.581	−0.287	2.810	0.833
^127Sb	16.028	1.065	−1.606	0.695	−0.435	6.078	2.325
^126Sb	15.924	0.000	−0.622	0.726	−2.250	5.898	0.128
^125Sb	15.820	1.073	−0.073	0.472	0.909	2.998	2.299
^124Sb	15.717	0.000	0.761	0.590	−1.233	3.766	0.804
^123Sb	15.613	1.082	1.087	0.541	0.216	4.154	1.896
^122Sb	15.509	0.000	1.676	0.572	−1.283	3.652	0.748
^121Sb	15.405	1.091	1.842	0.540	0.082	4.271	2.048
^120Sb	15.300	0.000	2.181	0.525	−0.944	3.017	0.858
^119Sb	15.196	1.100	2.038	0.603	−0.521	5.218	1.547
^118Sb	15.091	0.000	2.134	0.578	−1.370	3.718	0.890
^130Sn	16.337	2.105	−7.042	1.041	−0.466	16.910	2.598
^129Sn	16.234	1.057	−5.562	0.907	−0.654	10.277	1.222
^128Sn	16.131	2.121	−4.644	0.904	−0.163	11.371	2.642
^127Sn	16.028	1.065	−3.311	0.834	−1.134	8.601	1.243
^126Sn	15.924	2.138	−2.605	0.784	0.189	8.613	2.795
^125Sn	15.820	1.073	−1.442	0.708	−0.554	6.273	1.259
^124Sn	15.717	2.155	−1.003	0.664	0.824	6.637	3.011
^123Sn	15.613	1.082	−0.022	0.693	−0.917	6.354	1.301
^122Sn	15.509	2.173	0.159	0.609	1.011	5.990	3.036
^121Sn	15.405	1.091	0.968	0.597	−0.188	4.903	1.571
^120Sn	15.300	2.191	0.882	0.621	0.725	6.337	2.931
^119Sn	15.196	1.100	1.467	0.611	−0.426	5.202	1.633
^118Sn	15.091	2.209	1.180	0.612	0.795	6.211	3.057
^117Sn	14.987	1.109	1.442	0.611	−0.344	5.115	1.710
^116Sn	14.882	2.228	1.077	0.624	0.794	6.301	3.315

Table 7. Gamma-ray strength functions for s-wave neutron in units of 10⁻⁴.

Compound	Present
nuclei	work	Mughabghab [14]	JENDL-4.0
^121Te	14.04	–	7.41
^122Te	146.6	–	–
^123Te	5.774	5.1 ±0.6	6.36
^124Te	61.29	48.2 ±4.9	79.3
^125Te	2.395	2.7±0.6	2.59
^126Te	26.85	24.8±2.2	32.8
^127Te	0.9730	0.83± 0.32*	1.26
^128Te	23.73	–	132.0
^129Te	0.3625	0.23±0.07*	0.485
^130Te	7.830	–	97.1
^131Te	0.1490	–	0.141
^132Te	2.078	–	–
^133Te	0.05886	–	0.0361

*Calculated from the s-wave average level-spacing and the s-wave average radiative width given in [14].

Table 8. Pre-equilibrium parameters.

	C0		Knockout	Pickup
Target nuclei	(n, n′)	(n, p)	for (n, α)	for (n, α)
^120Te	1.03	1.40	1.0	0.0
^121mTe	1.00	1.00	1.0	0.0
^122Te	1.05	0.94	1.0	0.0
^123Te	1.50	0.80	1.0	0.0
^124Te	1.00	0.97	1.5	1.5
^125Te	1.00	1.00	1.5	1.5
^126Te	0.80	0.70	3.0	3.0
^127mTe	1.00	1.00	3.0	3.0
^128Te	1.30	0.70	8.0	8.0
^129mTe	1.00	1.00	8.0	8.0
^130Te	0.90	0.75	10.0	10.0
^131mTe	1.00	1.00	10.0	10.0
^132Te	1.00	1.00	10.0	10.0

Figure 3. Capture cross section of ¹²⁰Te.

Figure 4. Capture cross section of ¹²²Te.

Figure 5. Capture cross section of ¹²³Te.

Figure 6. Capture cross section of ¹²⁴Te.

Figure 7. Capture cross section of ¹²⁵Te.

Figure 8. Capture cross section of ¹²⁶Te.

Figure 9. Capture cross section of ¹²⁸Te.

Figure 10. Capture cross section of ¹³⁰Te.

Figure 11. Maxwellian-averaged capture cross section of ¹²⁰Te.

Figure 12. Capture cross sections of ^{121m, 127m, 129m, 131m, 132}Te.

Figure 13. ¹²⁰Te(n, 2n)¹¹⁹Te reaction cross section.

Figure 14. ¹²²Te(n, 2n)¹²¹Te reaction cross section.

Figure 15. ¹²⁴Te(n, 2n)^123mTe (T_1/2 = 119.2 d) reaction cross section.

Figure 16. ¹²⁶Te(n, 2n)^125mTe (T_1/2 = 57.40 d) reaction cross section.

Figure 17. ¹²⁸Te(n, 2n)^127mTe (T_1/2 = 106.1 d) reaction cross section.

Figure 18. ¹³⁰Te(n, 2n)^129mTe (T_1/2 = 33.6 d) reaction cross section.

Figure 19. ¹²²Te(n, p)¹²²Sb reaction cross section.

Figure 20. ¹²⁴Te(n, p)¹²⁴Sb reaction cross section.

Figure 21. ¹²⁶Te(n, p)¹²⁶Sb reaction cross section.

Figure 22. ¹²⁸Te(n, p)^128gSb (T_1/2 = 9.01 h) reaction cross section.

Figure 23. ¹³⁰Te(n, p)^130mSb (T_1/2 = 6.3 m) reaction cross section.

Figure 24. ¹²⁸Te(n, α)^125mSn (T_1/2 = 9.52 m) reaction cross section.

Figure 25. ¹³⁰Te(n, α)^127mSn (T_1/2 = 4.13 m) reaction cross section.

Figure 26. Angular distributions of neutrons elastically scattered from elemental Te.

Figure 27. Neutron emission spectra for elemental Te at 14.1 MeV.

Table 9. Deformation parameters for DWBA calculations of 3⁻ states.

Target	Excitation	Deformation
nuclei	energy (MeV)	parameters
^120Te	2.461	β3 = 0.132
^122Te	2.197	β3 = 0.132
^124Te	2.294	β3 = 0.130
^126Te	2.386	β3 = 0.131
^128Te	2.494	β3 = 0.110
^130Te	2.730	β3 = 0.100
^132Te*	2.488	β3 = 0.100

*¹³²Te is not a naturally occurring isotope.

Mughabghab SF. Atlas of neutron resonances, resonance parameters and thermal cross sections Z=1–100. Amsterdam: Elsevier; 2006.

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