Isotopes of gadolinium explained

Naturally occurring gadolinium (64Gd) is composed of 6 stable isotopes, 154Gd, 155Gd, 156Gd, 157Gd, 158Gd and 160Gd, and 1 radioisotope, 152Gd, with 158Gd being the most abundant (24.84% natural abundance). The predicted double beta decay of 160Gd has never been observed; only a lower limit on its half-life of more than 1.3×1021 years has been set experimentally.[1]

Thirty-three radioisotopes have been characterized, with the most stable being alpha-decaying 152Gd (naturally occurring) with a half-life of 1.08×1014 years, and 150Gd with a half-life of 1.79×106 years. All of the remaining radioactive isotopes have half-lives less than 100 years, the majority of these having half-lives less than 24.6 seconds. Gadolinium isotopes have 10 metastable isomers, with the most stable being 143mGd (t1/2 = 110 seconds), 145mGd (t1/2 = 85 seconds) and 141mGd (t1/2 = 24.5 seconds).

The primary decay mode at atomic weights lower than the most abundant stable isotope, 158Gd, is electron capture, and the primary mode at higher atomic weights is beta decay. The primary decay products for isotopes lighter than 158Gd are isotopes of europium and the primary products of heavier isotopes are isotopes of terbium.

List of isotopes

|-| rowspan=2|135Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 71| rowspan=2|134.95250(43)#| rowspan=2|1.1(2) s| β+ (98%)| 135Eu| rowspan=2|(5/2+)| rowspan=2|| rowspan=2||-| β+, p (98%)| 134Sm|-| rowspan=2|136Gd| rowspan=2 tyle="text-align:right" | 64| rowspan=2 style="text-align:right" | 72| rowspan=2|135.94730(32)#| rowspan=2|1# s [>200&nbsp;ns]| β+?| 136Eu| rowspan=2|0+| rowspan=2|| rowspan=2||-| β+, p?| 135Sm|-| rowspan=2|137Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 73| rowspan=2|136.94502(32)#| rowspan=2|2.2(2) s | β+| 137Eu| rowspan=2|(7/2)+#| rowspan=2|| rowspan=2||-| β+, p?| 136Sm|-| 138Gd| style="text-align:right" | 64| style="text-align:right" | 74| 137.94025(22)#| 4.7(9) s| β+| 138Eu| 0+|||-| style="text-indent:1em" | 138mGd| colspan="3" style="text-indent:2em" | 2232.6(11) keV| 6.2(0.2) μs| IT| 138Gd| (8−)|||-| rowspan=2|139Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 75| rowspan=2|138.93813(21)#| rowspan=2|5.7(3) s| β+| 139Eu| rowspan=2|9/2−#| rowspan=2|| rowspan=2||-| β+, p?| 138Sm|-| rowspan=2 style="text-indent:1em" | 139mGd[2] | rowspan=2 colspan="3" style="text-indent:2em" | 250(150)# keV| rowspan=2|4.8(9) s| β+| 139Eu| rowspan=2|1/2+#| rowspan=2|| rowspan=2||-| β+, p?| 138Sm|-| rowspan=2|140Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 76| rowspan=2|139.933674(30)| rowspan=2|15.8(4) s| β+ (67(8)%)| rowspan=2|140Eu| rowspan=2|0+| rowspan=2|| rowspan=2||-| EC (33(8)%)|-| rowspan=2|141Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 77| rowspan=2|140.932126(21)| rowspan=2|14(4) s| β+ (99.97%)| 141Eu| rowspan=2|(1/2+)| rowspan=2|| rowspan=2||-| β+, p (0.03%)| 140Sm|-| rowspan=2 style="text-indent:1em" | 141mGd| rowspan=2 colspan="3" style="text-indent:2em" | 377.76(9) keV| rowspan=2|24.5(5) s| β+ (89%)| 141Eu| rowspan=2|(11/2−)| rowspan=2|| rowspan=2||-| IT (11%)| 141Gd|-| rowspan=2|142Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 78| rowspan=2|141.928116(30)| rowspan=2|70.2(6) s| EC (52(5)%)| rowspan=2|142Eu| rowspan=2|0+| rowspan=2|| rowspan=2||-| β+ (48(5)%)|-| rowspan=3|143Gd| rowspan=3 style="text-align:right" | 64| rowspan=3 style="text-align:right" | 79| rowspan=3|142.92675(22)| rowspan=3|39(2) s| β+| 143Eu| rowspan=3|1/2+| rowspan=3|| rowspan=3||-| β+, p?| 142Sm|-| β+, α?| 139Pm|-| rowspan=3 style="text-indent:1em" | 143mGd| rowspan=3 colspan="3" style="text-indent:2em" | 152.6(5) keV| rowspan=3|110.0(14) s| β+| 143Eu| rowspan=3|11/2−| rowspan=3|| rowspan=3||-| β+, p?| 142Sm|-| β+, α?| 139Pm|-| 144Gd| style="text-align:right" | 64| style="text-align:right" | 80| 143.922963(30)| 4.47(6) min| β+| 144Eu| 0+|||-| style="text-indent:1em" | 144mGd| colspan="3" style="text-indent:2em" | 3433.1(5) keV| 145(30) ns| IT| 144Gd| (10+)|||-| 145Gd| style="text-align:right" | 64| style="text-align:right" | 81| 144.921710(21)| 23.0(4) min| β+| 145Eu| 1/2+|||-| rowspan=2 style="text-indent:1em" | 145mGd| rowspan=2 colspan="3" style="text-indent:2em" | 749.1(2) keV| rowspan=2|85(3) s| IT (94.3%)| 145Gd| rowspan=2|11/2−| rowspan=2|| rowspan=2||-| β+ (5.7%)| 145Eu|-| 146Gd| style="text-align:right" | 64| style="text-align:right" | 82| 145.9183185(44)| 48.27(10) d| EC| 146Eu| 0+|||-| 147Gd| style="text-align:right" | 64| style="text-align:right" | 83| 146.9191010(20)| 38.06(12) h| β+| 147Eu| 7/2−|||-| style="text-indent:1em" | 147mGd| colspan="3" style="text-indent:2em" | 8587.8(5) keV| 510(20) ns| IT| 147Gd| 49/2+|||-| 148Gd| style="text-align:right" | 64| style="text-align:right" | 84| 147.9181214(16)| 86.9(39) y| α[3] | 144Sm|0+||-| rowspan=2|149Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 85| rowspan=2|148.9193477(36)| rowspan=2|9.28(10) d| β+| 149Eu| rowspan=2|7/2−| rowspan=2|| rowspan=2||-| α (4.3×10−4%)| 145Sm|-|150Gd|style="text-align:right" | 64| style="text-align:right" | 86| 149.9186639(65)|1.79(8)×106 y| α[4] | 146Sm|0+|||-| rowspan=2|151Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 87| rowspan=2|150.9203549(32)| rowspan=2|123.9(10) d| EC| 151Eu| rowspan=2|7/2−| rowspan=2|| rowspan=2||-| α (1.1×10−6%)| 147Sm|-| 152Gd[5] | style="text-align:right" | 64| style="text-align:right" | 88| 151.9197984(11)| 1.08(8)×1014 y| α[6] | 148Sm| 0+| 0.0020(1)||-| 153Gd| style="text-align:right" | 64| style="text-align:right" | 89| 152.9217569(11)| 240.6(7) d| EC| 153Eu| 3/2−|||-| style="text-indent:1em" | 153m1Gd| colspan="3" style="text-indent:2em" | 95.1737(8) keV| 3.5(4) μs| IT| 153Gd| 9/2+|||-| style="text-indent:1em" | 153m2Gd| colspan="3" style="text-indent:2em" | 171.188(4) keV| 76.0(14) μs| IT| 153Gd| (11/2−)|||-| 154Gd| style="text-align:right" | 64| style="text-align:right" | 90| 153.9208730(11)| colspan="3" style="text-align:center;"|Observationally Stable[7] | 0+| 0.0218(2)||-| 155Gd[8] | style="text-align:right" | 64| style="text-align:right" | 91| 154.9226294(11)| colspan="3" style="text-align:center;"|Observationally Stable[9] | 3/2−| 0.1480(9)||-| style="text-indent:1em" | 155mGd| colspan="3" style="text-indent:2em" | 121.10(19) keV| 31.97(27) ms| IT| 155Gd| 11/2−|||-| 156Gd| style="text-align:right" | 64| style="text-align:right" | 92| 155.9221301(11)| colspan="3" style="text-align:center;"|Stable| 0+| 0.2047(3)||-| style="text-indent:1em" | 156mGd| colspan="3" style="text-indent:2em" | 2137.60(5) keV| 1.3(1) μs| IT| 156Gd| 7-|||-| 157Gd| style="text-align:right" | 64| style="text-align:right" | 93| 156.9239674(10)| colspan="3" style="text-align:center;"|Stable| 3/2−| 0.1565(4)||-| style="text-indent:1em" | 157m1Gd| colspan="3" style="text-indent:2em" | 63.916(5) keV| 460(40) ns| IT| 157Gd| 5/2+|||-| style="text-indent:1em" | 157m2Gd| colspan="3" style="text-indent:2em" | 426.539(23) keV| 18.5(23) μs| IT| 157Gd| 11/2−|||-| 158Gd| style="text-align:right" | 64| style="text-align:right" | 94| 157.9241112(10)| colspan="3" style="text-align:center;"|Stable| 0+| 0.2484(8)||-| 159Gd| style="text-align:right" | 64| style="text-align:right" | 95| 158.9263958(11)| 18.479(4) h| β| 159Tb| 3/2−|||-| 160Gd| style="text-align:right" | 64| style="text-align:right" | 96| 159.9270612(12)| colspan="3" style="text-align:center;"|Observationally Stable[10] | 0+| 0.2186(3)||-| 161Gd| style="text-align:right" | 64| style="text-align:right" | 97| 160.9296763(16)| 3.646(3) min| β| 161Tb| 5/2−|||-| 162Gd| style="text-align:right" | 64| style="text-align:right" | 98| 161.9309918(43)| 8.4(2) min| β| 162Tb| 0+|||-| 163Gd| style="text-align:right" | 64| style="text-align:right" | 99| 162.93409664(86)| 68(3) s| β| 163Tb| 7/2+|||-| rowspan=2 style="text-indent:1em" | 163mGd| rowspan=2 colspan="3" style="text-indent:2em" | 138.22(20) keV| rowspan=2|23.5(10) s| IT?| 163Gd| rowspan=2|1/2−| rowspan=2|| rowspan=2||-| β| 163Tb|-| 164Gd| style="text-align:right" | 64| style="text-align:right" | 100| 163.9359162(11)| 45(3) s| β| 164Tb| 0+|||-| style="text-indent:1em" | 164mGd| colspan="3" style="text-indent:2em" | 1095.8(4) keV| 589(18) ns| IT| 164Gd| (4−)|||-| 165Gd| style="text-align:right" | 64| style="text-align:right" | 101| 164.9393171(14)| 11.6(10) s| β| 165Tb| 1/2−#|||-| 166Gd| style="text-align:right" | 64| style="text-align:right" | 102| 165.9416304(17)| 5.1(8) s| β| 166Tb| 0+|||-| style="text-indent:1em" | 166mGd| colspan="3" style="text-indent:2em" | 1601.5(11) keV| 950(60) ns| IT| 166Gd| (6−)|||-| 167Gd| style="text-align:right" | 64| style="text-align:right" | 103| 166.9454900(56)| 4.2(3) s| β| 167Tb| 5/2−#|||-| 168Gd| style="text-align:right" | 64| style="text-align:right" | 104| 167.94831(32)#| 3.03(16) s| β| 168Tb| 0+|||-| rowspan=2|169Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 105| rowspan=2|168.95288(43)#| rowspan=2|750(210) ms| β| 169Tb| rowspan=2|7/2−#| rowspan=2|| rowspan=2||-| β, n? (<0.7%)[11] | 168Tb|-| rowspan=2|170Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 106| rowspan=2|169.95615(54)#| rowspan=2|[11] | β| 170Tb| rowspan=2|0+| rowspan=2|| rowspan=2||-| β, n? (<3%)[11] | 169Tb|-| rowspan=2|171Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 107| rowspan=2|170.96113(54)#| rowspan=2|[11] | β| 171Tb| rowspan=2|9/2+#| rowspan=2|| rowspan=2||-| β, n? (<10%)[11] | 170Tb|-| rowspan=2|172Gd| rowspan=2 style="text-align:right" | 64| rowspan=2 style="text-align:right" | 108| rowspan=2|171.96461(32)#| rowspan=2|[11] | β| 172Tb| rowspan=2|0+#| rowspan=2|| rowspan=2||-| β, n? (<50%)[11] | 171Tb

Gadolinium-148

With a half-life of via alpha decay alone, gadolinium-148 would be ideal for radioisotope thermoelectric generators. However, gadolinium-148 cannot be economically synthesized in sufficient quantities to power a RTG.[12]

Gadolinium-153

Gadolinium-153 has a half-life of and emits gamma radiation with strong peaks at 41 keV and 102 keV. It is used as a gamma ray source for X-ray absorptiometry and fluorescence, for bone density gauges for osteoporosis screening, and for radiometric profiling in the Lixiscope portable x-ray imaging system, also known as the Lixi Profiler. In nuclear medicine, it serves to calibrate the equipment needed like single-photon emission computed tomography systems (SPECT) to make x-rays. It ensures that the machines work correctly to produce images of radioisotope distribution inside the patient. This isotope is produced in a nuclear reactor from europium or enriched gadolinium.[13] It can also detect the loss of calcium in the hip and back bones, allowing the ability to diagnose osteoporosis.[14]

References

Notes and References

  1. F. A. Danevich. 2001 . Quest for double beta decay of 160Gd and Ce isotopes . . 694 . 1–2 . 375–391 . 2001NuPhA.694..375D . 10.1016/S0375-9474(01)00983-6. nucl-ex/0011020 . 11874988 . etal.
  2. Order of ground state and isomer is uncertain.
  3. Theorized to also undergo β+β+ decay to 148Sm
  4. Theorized to also undergo β+β+ decay to 150Sm
  5. [Primordial nuclide|primordial]
  6. Theorized to also undergo β+β+ decay to 152Sm
  7. Believed to undergo α decay to 150Sm
  8. [Fission product]
  9. Believed to undergo α decay to 151Sm
  10. Believed to undergo ββ decay to 160Dy with a half-life over 3.1×1019 years
  11. Kiss . G. G. . Vitéz-Sveiczer . A. . Saito . Y. . et al. . Measuring the β-decay properties of neutron-rich exotic Pm, Sm, Eu, and Gd isotopes to constrain the nucleosynthesis yields in the rare-earth region . The Astrophysical Journal . 936 . 107 . 2022 . 107 . 10.3847/1538-4357/ac80fc. 2022ApJ...936..107K . free . 2117/375253 . free .
  12. Book: 2009. 10.17226/12653. Radioisotope Power Systems: An Imperative for Maintaining U.S. Leadership in Space Exploration. 978-0-309-13857-4. Council. National Research. Sciences. Division on Engineering Physical. Board. Aeronautics Space Engineering. Board. Space Studies. Committee. Radioisotope Power Systems. 10.1.1.367.4042.
  13. Web site: PNNL: Isotope Sciences Program – Gadolinium-153 . pnl.gov . dead . https://web.archive.org/web/20090527014921/http://radioisotopes.pnl.gov/gadolinium.stm . 2009-05-27 .
  14. Web site: Gadolinium. BCIT Chemistry Resource Center. British Columbia Institute of Technology. 30 March 2011. 23 August 2011. https://web.archive.org/web/20110823085358/http://nobel.scas.bcit.ca/resource/ptable/gd.htm. dead.