Nuclear magnetic moments

Table 1: Nuclear magnetic moments ( $\mu_{{\rm N}}^{}$)

		$\mu_{{X}}^{}$		$\mu_{{X}}^{{length}}$		Ref. nucleus
isotope	spin	maximum	maximum	vector	vector
		projection	projection	length	length
		Ref. [6]	new value	Ref. [6]	new value
7Li	1.5	3.256462531	3.256412481			1H
10B	3.0	1.80064478(6)	1.8004636(71)	2.078985	2.078996	3He
11B	1.5	2.6886489(10)	2.6883781(106)	3.471031	3.470681	3He
13C	0.5	0.7024118(14)	0.7023702(25)	1.216613	1.216542	1H
14N	1.0	0.40376100(6)	0.4035729(44)	0.571004	0.570738	1H
15N	0.5	-0.28318884(5)	-0.2830569(31)	-0.490497	-0.490269	1H
17O	2.5	-1.89379(9)	-1.8935426(104)	-2.240770	-2.240470	1H
19F	0.5	2.628868(8)	2.6283350(106)	4.553333	4.552386	3He
21Ne	1.5	-0.661797(5)	-0.6617766(6)	-0.854376	-0.854350	1H
23Na	1.5	2.217655624	2.217488754			1H
29Si	0.5	-0.55529(3)	-0.5550519(31)	-0.961790	-0.961378	1H
31P	0.5	1.13160(3)	1.130925	1.959990	1.958820	1H
33S	1.5	0.6438212(14)	0.6432507(155)	0.831170	0.830429	19F
35Cl	1.5	0.8218743(4)	0.8216984(127)	1.061035	1.060808	2H
37Cl	1.5	0.6841236(4)	0.6839771(106)	0.883200	0.883010	2H
73Ge	4.5	-0.8794677(2)	-0.8782412(444)	-0.972288	-0.970932	1H
77Se	0.5	0.53507422(6)	0.5335646(537)	0.926776	0.924161	1H
79Br	1.5	2.106400(4)	2.099089	2.719351	2.709913	1H
81Br	1.5	2.270562(4)	2.262678	2.931283	2.921105	1H
83Kr	4.5	-0.970669(3)	-0.9705585(37)	-1.073110	-1.072993	1H
117Sn	0.5	-1.00104(7)	-0.9972959(1004)	-1.733850	-1.727368	1H
119Sn	0.5	-1.047278(7)	-1.0450676(1054)	-1.813940	-1.810110	1H
123Te	0.5	-0.7369478(8)	-0.7340375(741)	-1.276431	-1.265881	1H
125Te	0.5	-0.8885051(4)	-0.8849424(893)	-1.538936	-1.532765	1H
127I	2.5	2.81327(8)	2.793801	3.328710	3.305670	1H
129Xe	0.5	-0.777976(8)	-0.777921	-1.347494	-1.347398	1H
207Pb	0.5	0.592583(9)	0.596654	1.026384	1.033436	1H

proton magnetic moment 2.792847356(23) [8]

³He magnetic moment -2.12762523466 

TMS $\sigma$(¹H in TMS) = 32.873 $\pm$ 0.5 ppm 
7Li - NMR frequency ratio to ¹H in TMS [7], $\sigma$(⁷Li⁺ in water solution) = 92.108 ppm

10B, 11B - NMR frequencies from gas-phase measurement of BF₃ [5], $\sigma$(¹⁰B in ¹⁰BF₃) = 97.879 $\pm$ 4.0 ppm, $\sigma$(¹¹B in ¹¹BF₃) = 97.882 $\pm$ 4.0 ppm (CCSD(T) values with vibrational and relativistic corrections) [5], helium shielding 59.937 $\pm$ 0.05 ppm , (note that in original paper [5] error bars were incorrectly calculated)

13C - NMR frequencies from gas-phase measurement of CH₄ [1], $\sigma$(¹³C in ¹³CH₄) = 196.240 $\pm$ 3.0 ppm (CCSD(T) value with vibrational and relativistic correction) [1,9], $\sigma$(¹H in ¹³CH₄) = 30.707 $\pm$ 0.5 ppm (from absolute shielding scale and TMS to CH₄ chemical shift [2])

14N, 15N - NMR frequencies of N and proton in NH₄⁺ ion [10], $\sigma$(^14/15N in NH₄⁺) = 223.8 $\pm$ 10.0 ppm, $\sigma$(¹H in NH₄⁺) = 24.4 $\pm$ 1.0 ppm [11]

17O - NMR frequencies from gas-phase measurement ¹⁷O and proton in water vapor, $\sigma$(¹⁷O in H₂¹⁷O) = 322.805 $\pm$ 5.0 ppm, $\sigma$(¹H in H₂¹⁷O) = 30.148 $\pm$ 0.5 ppm [1]

19F - NMR frequencies from gas phase measurement in ¹¹BF₃ molecule, $\sigma$(¹⁹F in ¹¹BF₃) = 332.01 $\pm$ 4.0 ppm (CCSD(T) value with vibrational and relativistic corrections [5]), helium shielding 59.937 $\pm$ 0.05 ppm [12], alternative source of ¹⁹F magnetic moment is gas-phase measurement in CH₃F which leads to value 2.6283214(132) (see ref. [1] for details)

21Ne - NMR frequency ratio to ¹H in TMS from ref. [7], $\sigma$(²¹Ne) = 561.3 $\pm$ 0.4 ppm (Dirac-Hartree-Fock relativistic calculations [13])

23Na - NMR frequency ratio to ¹H in TMS [7], $\sigma$(²³Na⁺ in water solution) = 576.346 ppm

29Si - NMR frequencies from gas-phase measurement in SiH₄, $\sigma$(²⁹Si in SiH₄) = 482.846 $\pm$ 5.0 ppm (CCSD(T) value with vibrational and relativistic corrections [14,9]), $\sigma$(¹H in SiH₄) = 27.723 $\pm$ 0.5 ppm (proton shielding in SiH4 from TMS shielding and corresponding chemical shift [2])

31P - new values coming soon

33S - NMR frequencies from gas-phase measurement in SF₆, $\sigma$(³³S in SF₆) = 379.888 $\pm$ 15.0 ppm, $\sigma$(¹⁹F in SF₆) = 139.308 $\pm$ 15.0 ppm [1], improved value of ¹⁹F magnetic moment from BF3 experiment related to 3He magnetic moment (see above) was used in derivation

35Cl, 37Cl - NMR frequencies of Cl anion in D₂O solution from original source of Cl magnetic moments [15], $\sigma$(^35/37Cl^-) = 974.0 $\pm$ 15.0 ppm [16] $\sigma$(²H in ²H₂O) = 25.689 $\pm$ 0.5 ppm [17]

73Ge - NMR frequencies from gas-phase measurement in GeH₄, $\sigma$(⁷³Ge in GeH₄) = 1988.710 $\pm$ 50.0 ppm (MCSCF value with relativistic correction [9]), $\sigma$(¹H in GeH₄) = 27.872 $\pm$ 0.5 ppm (TMS to GeH₄ chemical shift [2])

77Se - NMR frequency ratio to ¹H in TMS [7], $\sigma$(⁷⁷Se in Se(CH₃)₂) = 1769.0 $\pm$ 100.0 ppm [18]

79Br, 81Br

83Kr - NMR frequency ratio to ¹H in TMS from ref. [7], $\sigma$(⁸³Kr) = 3577.3 $\pm$ 3.3 ppm (Dirac-Hartree-Fock relativistic calculations [13]), $\sigma$(¹H in TMS) = 32.873 $\pm$ 0.5 ppm (Jackowski value reference will be added)
117Sn, 119Sn - NMR frequencies from gas-phase measurement in Sn(CH₃)₄ [19], $\sigma$(¹¹⁹Sn in Sn(CH₃)₄) = 3476.040 $\pm$ 100.0 ppm, (SnH₄ MCSCF shielding with relativistic corrections [9] and Sn(CH₃)₄ to SnH₄ chemical shift [2], proton shielding with vibrational correction [9,19]

123Te, 125Te - NMR frequency ratio to ¹H in TMS [7], $\sigma$( ^123/125Te in Te(CH₃)₂) = 4333.0 $\pm$ 100.0 ppm [20]

127I

207Pb - frequency from Pb(CH₃)₄ NMR standard [7], absolute shielding scale from ²⁰⁷Pb²⁺ in D₂O and corresponding chemical shift is used, proton in TMS as reference nucleus [11,21]