All atomic nuclei of the chemical element erbium are summarized under erbium isotopes; these all consist of an atomic nucleus with 68 protons and, in the uncharged state, 68 electrons. The difference between each erbium isotope is based on the number of neutrons in the nucleus.
Natural terrestrial erbium deposits consist of a mixture of six different stable isotopes:
Atomic Mass ma | Quantity | Half-life | Spin | |
Erbium Isotopic mixture | 167,259 u | 100 % | ||
Isotope 162Er | 161,92879(2) u | 0,139(5) % | stable | 0+ |
Isotope 164Er | 163,92921(2) u | 1,601(3) % | stable | 0+ |
Isotope 166Er | 165,93030(2) u | 33,503(36) % | stable | 0+ |
Isotope 167Er | 166,93205(2) u | 22,869(9) % | stable | 7/2+ |
Isotope 168Er | 167,93238(2) u | 26,978(18) % | stable | 0+ |
Isotope 170Er | 169,93547(2) u | 14,910(36) % | stable | 0+ |
All other erbium nuclides known and characterized to date are unstable and are of no importance for technical applications.
Isotope Nuclide | E | N | Atomic Mass [Nuclear Mass] {Mass Excess} | Spin I (h/2π) | Parent |
---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 |
Erbium-143 | 14368Er | 75 | 142.96644(43) u [142.9291399 u] {-31.26094 MeV} | 0+ | |
Erbium-144 | 14468Er | 76 | 143.96070(21) u [143.9233999 u] {-36.60771 MeV} | 0+ | 145Tm |
Erbium-145 | 14568Er | 77 | 144.95787(21) u [144.9205699 u] {-39.24384 MeV} | (1/2+) | 146Tm |
Erbium-145m | 145m68Er | 77 | 144.95787(21) u [144.9205699 u] {-39.24384 MeV} | (11/2-) | |
Erbium-146 | 14668Er | 78 | 145.952418(7) u [145.9151179 u] {-44.32235 MeV} | 0+ | 147Tm |
Erbium-147 | 14768Er | 79 | 146.94996(4) u [146.9126599 u] {-46.61196 MeV} | (1/2+) | 147Tm |
Erbium-147m | 147m68Er | 79 | 146.94996(4) u [146.9126599 u] {-46.61196 MeV} | (11/2-) | |
Erbium-148 | 14868Er | 80 | 147.944735(11) u [147.9074349 u] {-51.47902 MeV} | 0+ | |
Erbium-148m | 148m68Er | 80 | 147.944735(11) u [147.9074349 u] {-51.47902 MeV} | (10+) | |
Erbium-149 | 14968Er | 81 | 148.94231(3) u [148.9050099 u] {-53.73789 MeV} | (1/2+) | 149Tm |
Erbium-149m1 | 149m168Er | 81 | 148.94231(3) u [148.9050099 u] {-53.73789 MeV} | (11/2-) | |
Erbium-150 | 15068Er | 82 | 149.937916(18) u [149.9006159 u] {-57.83087 MeV} | 0+ | 150Tm 151Yb 154Yb |
Erbium-151 | 15168Er | 83 | 150.937449(18) u [150.9001489 u] {-58.26588 MeV} | (7/2-) | 151Tm 155Yb |
Erbium-151m | 151m68Er | 83 | 150.937449(18) u [150.9001489 u] {-58.26588 MeV} | (27/2-) | |
Erbium-152 | 15268Er | 84 | 151.935050(9) u [151.8977499 u] {-60.50054 MeV} | 0+ | 152Tm 153Yb 156Yb |
Erbium-153 | 15368Er | 85 | 152.935084(10) u [152.8977839 u] {-60.46886 MeV} | (7/2-) | 153Tm 157Yb |
Erbium-154 | 15468Er | 86 | 153.932791(5) u [153.8954909 u] {-62.60478 MeV} | 0+ | 154Tm 158Yb |
Erbium-155 | 15568Er | 87 | 154.933216(7) u [154.8959159 u] {-62.2089 MeV} | 7/2- | 155Tm |
Erbium-156 | 15668Er | 88 | 155.931066(26) u [155.8937659 u] {-64.21161 MeV} | 0+ | 156Tm |
Erbium-157 | 15768Er | 89 | 156.931923(28) u [156.8946229 u] {-63.41332 MeV} | 3/2- | 157Tm |
Erbium-158 | 15868Er | 90 | 157.929893(27) u [157.8925929 u] {-65.30425 MeV} | 0+ | 158Tm |
Erbium-159 | 15968Er | 91 | 158.930691(4) u [158.8933909 u] {-64.56092 MeV} | 3/2- | 159Tm |
Erbium-160 | 16068Er | 92 | 159.929077(26) u [159.8917769 u] {-66.06435 MeV} | 0+ | 160Tm |
Erbium-161 | 16168Er | 93 | 160.930003(9) u [160.8927029 u] {-65.20179 MeV} | 3/2- | 161Tm |
Erbium-161m | 161m68Er | 93 | 160.930003(9) u [160.8927029 u] {-65.20179 MeV} | 11/2- | |
Erbium-162 | 16268Er | 94 | 161.92879(2) u [161.8914899 u] {-66.33169 MeV} | 0+ | 162Tm |
Erbium-163 | 16368Er | 95 | 162.930040(5) u [162.8927399 u] {-65.16732 MeV} | 5/2- | 163Tm |
Erbium-164 | 16468Er | 96 | 163.92921(2) u [163.8919099 u] {-65.94046 MeV} | 0+ | 164Tm 164Ho |
Erbium-165 | 16568Er | 97 | 164.9307332(10) u [164.8934331 u] {-64.52161 MeV} | 5/2- | 165Tm |
Erbium-166 | 16668Er | 98 | 165.93030(2) u [165.8929999 u] {-64.92513 MeV} | 0+ | 166Tm 166Ho |
Erbium-167 | 16768Er | 99 | 166.93205(2) u [166.8947499 u] {-63.29502 MeV} | 7/2+ | 167Tm 167Ho |
Erbium-167m | 167m68Er | 99 | 166.93205(2) u [166.8947499 u] {-63.29502 MeV} | 1/2- | |
Erbium-168 | 16868Er | 100 | 167.93238(2) u [167.8950799 u] {-62.98762 MeV} | 0+ | 168Tm 168Ho |
Erbium-169 | 16968Er | 101 | 168.9345984(3) u [168.8972983 u] {-60.9212 MeV} | 1/2- | 169Ho |
Erbium-170 | 17068Er | 102 | 169.93547(2) u [169.8981699 u] {-60.10931 MeV} | 0+ | 170Ho 170Tm |
Erbium-171 | 17168Er | 103 | 170.9380361(17) u [170.900736 u] {-57.719 MeV} | 5/2- | 171Ho |
Erbium-172 | 17268Er | 104 | 171.939362(4) u [171.9020619 u] {-56.48393 MeV} | 0+ | 172Ho |
Erbium-173 | 17368Er | 105 | 172.94240(21) u [172.9050999 u] {-53.65405 MeV} | (7/2-) | |
Erbium-174 | 17468Er | 106 | 173.94423(32) u [173.9069299 u] {-51.94942 MeV} | 0+ | |
Erbium-175 | 17568Er | 107 | 174.94777(43) u [174.9104699 u] {-48.65193 MeV} | (9/2+) | |
Erbium-176 | 17668Er | 108 | 175.94994(43) u [175.9126399 u] {-46.63059 MeV} | 0+ | |
Erbium-177 | 17768Er | 109 | 176.95399(54) u [176.9166899 u] {-42.85804 MeV} | (1/2-) |
Isotope | Radioactive Decay | Extern | |||
---|---|---|---|---|---|
Half-life | Decay Mode | Probability | Energy | ||
7 | 8 | 9 | 10 | 11 | 12 |
Er-143 | AL | ||||
Er-144 | 200 ns | EC/β+ → 144Ho | 100 % | 7.88 MeV | AL |
Er-145 | AL | ||||
Er-145m | 0.9(3) s | EC/β+ → 145Ho EC, p → 144Dy | 100 % ? | ||
Er-146 | 1.7(6) s | EC/β+ → 146Ho | 100 % | 6.916(9) MeV | AL |
Er-147 | ca. 2.5 s | EC/β+ → 147Ho β+, p → 146Dy | 100 % > 0 % | 9.15(4) MeV | AL |
Er-147m | 2.5(2) s | EC/β+ → 147Ho β+, p → 146Dy | ca. 100 % > 0 % | ||
Er-148 | 4.6(2) s | EC/β+ → 148Ho EC, p → 147Dy | ca. 99.85 % ca. 0.15 % | 6.51(8) MeV | AL |
Er-148m | 13(3) μs | Iso → 148Er | 100 % | ||
Er-149 | 4(2) s | EC/β+ → 149Ho EC, p → 148Dy | 93 % 7 % | 7.90(3) MeV | AL |
Er-149m1 | 8.9(2) s | EC/β+ → 149Ho EC, p → 148Dy Iso → 149Er | 96.5(7) % 0.18(7) % 3.5(7) % | ||
Er-150 | 18.5(7) s | EC/β+ → 150Ho | 100 % | 4.115(22) MeV | AL |
Er-151 | 23.5(20) s | EC/β+ → 151Ho | 100 % | 5.356(18) MeV | AL |
Er-151m | 0.58(2) s | EC/β+ → 151Ho Iso → 151Er | 4.7(4) % 95.3(4) % | ||
Er-152 | 10.3(1) s | EC/β+ → 152Ho α → 148Dy | 10(4) % 90(4) % | 3.104(15) MeV 4.9343(16) MeV | AL |
Er-153 | 37.1(2) s | EC/β+ → 153Ho α → 149Dy | 47(3) % 53(3) % | 4.543(11) MeV 4.8024(14) MeV | AL |
Er-154 | 3.73(9) min | EC/β+ → 154Ho α → 150Dy | 99.53(13) % 0.47(13) % | 2.034(10) MeV 4.2797(26) MeV | AL |
Er-155 | 5.3(3) min | EC/β+ → 155Ho α → 151Dy | 99.978(7) % 0.022(7) % | 3.830(18) MeV 4.118(5) MeV | AL |
Er-156 | 19.5(10) min | EC/β+ → 156Ho α → 152Dy | ca. 100 % Spuren | 1.27(6) MeV 3.481(25) MeV | AL |
Er-157 | 18.65(10) min | EC/β+ → 157Ho | ca. 100 % | 3.42(4) MeV | AL |
Er-158 | 2.29(6) h | EC → 158Ho | 100 % | 0.88(4) MeV | AL |
Er-159 | 36(1) min | EC/β+ → 159Ho | 100 % | 2.768(5) MeV | AL |
Er-160 | 28.58(9) h | EC → 160Ho | 100 % | 0.319(29) MeV | AL |
Er-161 | 3.21(3) h | EC/β+ → 161Ho | 100 % | 1.996(9) MeV | AL |
Er-161m | 7.5(7) μs | Iso → 161Er | 100 % | ||
Er-162 | stable | AL | |||
Er-163 | 75.0(4) min | EC/β+ → 163Ho | 100 % | 1.211(5) MeV | AL |
Er-164 | stable | AL | |||
Er-165 | 10.36(4) h | EC → 165Ho | 100 % | 0.3774(14) MeV | AL |
Er-166 | stable | AL | |||
Er-167 | stable | AL | |||
Er-167m | 2.269(6) s | Iso → 167Er | 100 % | ||
Er-168 | stable | AL | |||
Er-169 | 9.392(18) d | β- → 169Tm | 100 % | 0.3535(8) MeV | AL |
Er-170 | stable | AL | |||
Er-171 | 7.516(2) h | β- → 171Tm | 100 % | 1.4913(13) MeV | AL |
Er-172 | 49.3(3) h | β- → 172Tm | 100 % | 0.891(5) MeV | AL |
Er-173 | 1.4(1) min | β- → 173Tm | 100 % | 2.6(2) MeV | AL |
Er-174 | 3.2(2) min | β- → 174Tm | 100 % | 1.91(30) MeV | AL |
Er-175 | 1.2(3) min | β- → 175Tm | 100 % | 3.66(40) MeV | AL |
Er-176 | 160 ns | β- → 176Tm | 100 % | 2.74(41) MeV | AL |
Er-177 | 3 s | β- → 177Tm | 100 % | 4.61(58) MeV | AL |
Notes (related to the columns):
1 - name of the nuclide, isotope.
2 - E: isotope symbol with mass number (superscript; number of nucleons) and Atomic number (subscript; number of protons).
3 - N: number of neutrons.
4 - relative atomic mass of the Erbium isotope (isotopic mass including electrons) and the mass of the atomic nucleus in square brackets (nuclear mass, nuclide mass without electrons), each related to 12C = 12.00000 [2]. In addition, the mass excess is given in MeV.
5 - nuclear spin I, unit: h/2π.
6 - source nuclides: Possible, assumed or actual source nuclides (mother nuclides, parent nuclides). If applicable, the corresponding decay modes can be found in the data for the respective starting nuclide.
7 - isotope notation in short form.
8 - decay: half-live of the Erbium isotope (a = years; ; d = days; h = hours; min = minutes; s = seconds).
9 - decay mode: type of decay into the respective daughter nuclides with n = neutron emission; p = proton emission; α = alpha decay; β- = beta minus decay with electron emission; EC = electron capture; β+ = positron emission; ε = β+ and/or EC; Iso = isomeric transition; CD = cluster decay; SF = spontaneous decay.
10 - decay probability in percent (%).
11 - decay energy; Particle energy related to decay type.
12 - other information and notes: AL = Adopted Levels (link to external data [1]).
Miscellaneous:
()- Numbers in brackets: uncertainty to represent the spread of the reported value.
~ - Theoretical values or systematic trends.
- unlisted-: Nuclides that have already been mentioned in the literature but for some reason can no longer be found in the current nuclide tables because their discovery e.g. has not confirmed.
Nuclide quantity 1) spin | Nuclear magnetic moment μ/μN | Gyromagnetic ratio {Quadrupole moment} | Resonant frequency v0 bei 1 T | Relative sensitivity H0 = const. v0 = const. 3) |
---|---|---|---|---|
167Er 22,869(9) % 7/2+ | - 0,56385(12) | - 0,7752 {+ 3,565(29)} | 1,2281 | 0,00050 0,6057 |
1) Quantity Percentage of natural occurrence.
2) Gyromagnetic ratio: 107 rad T-1 s-1
Quadrupole moment: Q [barn] = [100 fm2]
3) Related to 1H = 1,000.
According to the Radiation Protection Ordinance (StrlSchV 2018, Germany), the following values (columns 1 to 7) apply to the handling of Erbium radionuclides:
Nuclide | Limit Value | HASS limit | SC | Daughter Nuclides | Half-life | |
---|---|---|---|---|---|---|
Er-161+ | 106 Bq | 10 Bq/g | 3.2 h | |||
Er-165 | 107 Bq | 1000 Bq/g | 10.4 h | |||
Er-169 | 107 Bq | 1000 Bq/g | 20 TBq | 100 Bq cm-2 | 9.4 d | |
Er-171 | 106 Bq | 100 Bq/g | 0,2 TBq | 10 Bq cm-2 | 7.5 h | |
Er-172 | 106 Bq | 100 Bq/g | 49.3 h |
(HASS = High-Activity Sealed Radioactive Sources; SC = surface contamination)
Properties of the Erbium nucleides
[1] - NuDat: National Nuclear Data Center, Brookhaven National Laboratory, based on ENSDF and the Nuclear Wallet Cards.
[2] - G. Audi et. al.: The NUBASE evaluation of nuclear and decay properties. Nuclear Physics, (2003), DOI 10.1016/j.nuclphysa.2003.11.001.
[3] - Live Chart of Nuclides. Nuclear structure and decay data.
Erbium: NMR properties - 167Er-NMR
[4] - N. J. Stone: Table of nuclear magnetic dipole and electric quadrupole moments. Atomic Data and Nuclear Data Tables, (2005), DOI 10.1016/j.adt.2005.04.001.
[5] - Pekka Pyykkö: Year-2008 nuclear quadrupole moments. Molecular Physics, (2008), DOI 10.1080/00268970802018367.
[6] - Pekka Pyykkö: Year-2017 nuclear quadrupole moments. Molecular Physics, (2018), DOI 10.1080/00268976.2018.1426131.
[7] - N. J. Stone: Table of recommended nuclear magnetic dipole moments. IAEA, (2019).
More sources:
[8] - Isotopic abundances, atomic weights and isotopic masses: see respective keyword.
[9] - C. Fry, M. Thoennessen:
Discovery of dysprosium, holmium, erbium, thulium and ytterbium isotopes.
In: Atomic Data and Nuclear Data Tables, (2012), DOI 10.1016/j.adt.2012.05.004.
[10] - T. P. D. Swan, P. M. Walker, Zs. Podolyák, M. W. Reed, G. D. Dracoulis, G. J. Lane, T. Kibédi, M. L. Smith:
Discovery of isomers in dysprosium, holmium, and erbium isotopes with N=94 to 97.
In: Physical Review C, (2012), DOI 10.1103/PhysRevC.85.024313.
[11] - Jochen Erler et al.:
Calculated and experimental two-neutron separation energies of even–even erbium isotopes.
In: Nature, (2012), DOI 10.1038/nature11188.
Last update: 2022-12-12
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