nuclear moment および磁場較正に関する情報をまとめてあります.
間違いがあったらお知らせいただけると大変助かります.
nuclei I Ξ (%) γ/2π (MHz T−1) Q (barn) Abundance (%)
1H 1/2 100.000 000 42.576 384 7 0 99.984 426
2H 1 15.350 609 6.535 734 3 0.002 860 0.015 574
3H 1/2 106.663 974 45.413 663 9 0 -
3He 1/2 76.179 437 34.434 450 0 0.000 134 3
9Be 3/2 14.051 813 5.982 754 0 0.052 88 100
10B 3/2 10.743 658 4.574 261 2 0.084 59 19.82
11B 3/2 32.083 974 13.660 196 0.040 59 80.18
13C 1/2 25.145 020 10.705 840 0 1.1078
19F 1/2 94.094 011 40.061 828 0 100
27Al 5/2 26.056 859 11.094 069 0.146 6 100
29Si 1/2 19.867 187 8.458 730 0 0 4.683 16
31P 1/2 40.480 742 17.235 236 0 100
35Cl 3/2 9.797 909 4.171 595 -0.081 65 75.764 7
37Cl 3/2 8.155 725 3.472 413 -0.064 35 24.235 3
59Co 7/2 23.727 074 10.102 130 0.420 100
63Cu 3/2 26.515 473 11.289 330 -0.220 69.174
65Cu 3/2 28.403 693 12.093 266 -0.204 30.826
67Zn 5/2 6.256 803 2.663 921 0.150 4.040 1
69Ga 3/2 24.001 354 10.218 909 0.171 60.107 9
71Ga 3/2 30.496 704 12.984 39 0.107 39.892 1
73Ge 9/2 3.848 315 1.638 473 -0.196 7.760 21
75As 3/2 17.122 614 7.290 190 0 0.314 100
79Br 3/2 25.053 980 10.667 079 0.313 50.686
81Br 3/2 27.006 518 11.498 399 0.262 49.314
89Y 1/2 4.900 198 2.086 327 0 100
93Nb 9/2 24.476 170 10.421 068 -0.320 100
95Mo 5/2 6.516 926 2.774 672 -0.022 15.873
97Mo 5/2 6.653 695 2.832 903 0.255 9.582
99Ru 5/2 4.605 151 1.960 707 0.079 12.757 9
101Ru 5/2 5.161 369 2.197 524 0.457 17.060 0
103Rh 1/2 3.186 447 1.356 674 0 100
111Cd 1/2 21.215 480 9.032 784 4 0 12.804
113Cd 1/2 22.193 175 9.449 051 6 0 12.225
121Sb 5/2 23.930 577 10.188 775 -0.543 57.213
123Sb 7/2 12.959 217 5.517 566 1 -0.692 42.787
127I 5/2 20.007 486 8.518 464 2 -0.696 100
139La 7/2 14.125 641 6.014 187 3 0.200 99.911 19
181Ta 7/2 11.989 600 5.104 738 2 3.170 99.987 99
183W 1/2 4.166 387 1.773 897 0 14.313 6
191Ir 3/2 1.718 0.7315 0.816 37.272
193Ir 3/2 1.871 0.7966 0.751 62.728
195Pt 1/2 21.496 784 9.152 553 5 0 33.775
141Pr 5/2 30.62 13.04 -0.0589 100
235U 7/2 1.841400 0.784 001 5 4.936 0.720 41
28 024.951 3861(87) MHz T−1
W. D. Knight, Phys. Rev. 76, 1259 (1949).
``Nuclear Magnetic Resonance Shift in Metals''
https://doi.org/10.1103/PhysRev.76.1259.2
63K = 0.230% (Δf/f = +23.7 kHz/10.321 MHz)
65K = 0.232% (Δf/f = +25.6 kHz/11.050 MHz)
reference: CuCl
E. R Andrew, W. S Hinshaw, and R. S Tiffen, J. Magn. Reson. 15, 191 (1969).
``NMR in Rapidly Rotated Metallic Aluminium and Cadmium``
https://doi.org/10.1016/0022-2364(74)90070-5
(MAS study)
27K = 1640 ± 1ppm
reference: AlCl3 aq.
(For T-dependence of 27K, see Bennett 1970)
111K = 4321 ± 7ppm
113K = 4324 ± 7ppm
reference: cadmium nitrate aq.
H. R, Khan, J. M, Reynolds, and R. G. Goodrich, Phys. Rev. B 2, 4796 (1970).
``Magnetic Field Dependence of the Knight Shift in Aluminum''
https://doi.org/10.1103/PhysRevB.2.4796
27K = 0.162%
reference: AlCl3
E. R. Andrew, J. L. Corolan, and P. J. Randall, Phys. Lett. A 35, 435 (1971)
``MORE PRECISE KIGHT SHIFT MEASUREMENTS: APPLICATIONS TO COPPER''
https://doi.org/10.1016/0375-9601(71)90184-8
(MAS study)
63K = 2.3929(12) × 10−3
65K = 2.3951(16) × 10−3
reference: CuBr
E. R. Andrew, J. L. Corolan, and P. J. Randall, Chem. Phys. Lett. 11, 298 (1971).
``Precise measurements of 63Cu and 65Cu NMR chemical shifts in solid cuprous halides by the high speed rotation method''
https://doi.org/10.1016/0009-2614(71)80490-6
(MAS study)
63δ(CuCl) = 63δ(CuI) − 2.8 ± 1.4 ppm
63δ(CuBr) = 63δ(CuI) − 57.3 ± 1.6 ppm
``No resolvable chemical shift dependence on isotope was observed, but a Knight shift isotope dependence of about 2 ppm appears probable.''
→ 63K(CuCl) = 63K(CuBr) − 54.5 ppm
K. Kitagawa, H. Gotou, T. Yagi, A. Yamada, T. Matsumoto, Y. Uwatoko, and M. Takigawa, J. Phys. Soc. Jpn. 79, 024001 (2010).
``Space Efficient Opposed-Anvil High-Pressure Cell and Its Application to Optical and NMR Measurements up to 9 GPa''
https://doi.org/10.1143/JPSJ.79.024001
63K(300 K) = 0.2003(86)%
63K(4.2 K) = 0.201(19)%
reference: 1H in glycerol, 63γ/2π = 11.28933 MHz T−1 (or 63Ξ = 26.515 473%)
Shielded value と bare value の違いに注意
N. J. Stone, Atom. Data Nucl. Data Tables 90, 75–176 (2005).
N. J. Stone, INDC(NDS)-0658 (2014).
R. K. Harris et al., Pure. Appl. Chem. 73, 1795–1818 (2001).
R. K. Harris et al., Magn. Reson. Chem. 46, 582–598 (2008).
P. Pyykkö, Mol. Phys. 106, 1965–1974 (2008).
μ(Stone) = γN ħ I
μ(Harris) = γN ħ √I(I + 1)
Nuclear moment の値にいくつかの食い違いがあった。
例 : 235μ/μN: −0.34(3) (EPR, 1983Lu10, Stone, 2005), 0.59(5) (EPR, 1983Lu10, IAEA list), −0.46 ±0.03 (original, 1983LU10)
``† Recommended magnetic moments are for the bare nucleus with published results corrected consistently for diamagnetism (including error estimate). Where appropriate published results are also adjusted to the most recent adopted half-life for the state. Recommended quadrupole moments are adjusted using the best electric field gradient calculation for the system concerned. For details see the Reports referenced.
‡ In this listing published results are given without adjustment or correction.''
from https://www-nds.iaea.org/nuclearmoments/
Planck constant
h = 6.626 070 15 × 10−34 J Hz−1
reduced Planck constant
ħ = 1.054 571 817... × 10−34 J s
Avogadro constant
NA = 6.022 140 76 × 1023 mol−1
Boltzmann constant
kB = 1.380 649 × 10−23 J K−1
Bohr magneton
μB = 9.274 010 0783(28) × 10−24 J T−1
nuclear magneton
μN = 5.050 783 7461(15) × 10−27 J T−1
electron gyromagnetic ratio
γe/2π = 28.024 951 4242(85) GHz T−1
proton gyromagnetic ratio
γp/2π = 42.577 478 518(18) MHz T−1
shielded proton gyromagnetic ratio
γp'/2π = 42.576 384 74(46) MHz T−1
γ = μ/ħI [rad s−1 T−1], μN/h = 7.6225932291 MHz T−1
nuclei I μ/μN γ/2π (MHz T−1)
1H 1/2 +2.792 847 351(9) ~42.577 478 62
141Pr 5/2 +4.266(3) ~13.01
235U 7/2 −0.38(3) ~0.83
237Np 5/2 +3.16(10) ~9.63
239Pu 1/2 −0.202(4) ~3.08
243Am 5/2 1.52(1) ~4.63