New Determination of the Nuclear Gyromagnetic Ratio <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>γ</mi></math></span> of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">Co</mi></mrow><mrow><mn>59</mn></mrow></msup></mrow></math></span>

R. E. Walstedt; J. H. Wernick; V. Jaccarino

doi:10.1103/PhysRev.162.301

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New Determination of the Nuclear Gyromagnetic Ratio $γ$ of ${Co}^{59}$

R. E. Walstedt and J. H. Wernick

V. Jaccarino

Bell Telephone Laboratories, Murray Hill, New Jersey

Department of Physics, University of California, Santa Barbara, California

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Phys. Rev. 162, 301 – Published 10 October, 1967

DOI: https://doi.org/10.1103/PhysRev.162.301

Abstract

The nuclear gyromagnetic ratio $γ$ of ${Co}^{59}$ has been redetermined from NMR studies of the intermetallic compounds CoSi and Co ${Si}_{2}$ , yielding the new value $\frac{γ}{2 π} = 1.0054 \pm 0.002$ kHz/G. These materials possess weak dia- and paramagnetism, respectively. The analysis consists of placing upper limits on the NMR shifts in these compounds by using measured values of susceptibilities and spin-lattice relaxation times $T_{1}$ and the well-known relations between shift and susceptibility contributions from orbital and spin-paramagnetic sources. Our findings are further supported by shifts observed for dilute cobalt in a number of transition-metal alloys. The new value of $γ$ given above is larger by ∼0.9% than the commonly accepted one of Freeman, Murray, and Richards that was obtained by extrapolation in their study of NMR shifts and optical splittings in cobaltic complexes. In view of this discrepancy, the theory of Van Vleck shifts in these complexes is reexamined in terms of a molecular orbital model of covalent mixing.

References (29)

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J. S. Griffith and L. E. Orgel, Trans. Faraday Soc. 53, 601 (1957)
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Omitted endnote
[E. A. C. Lucken, K. Noack, and D. F. Willians, J. Chem. Soc. (London) A, 1, 148 (1967)]
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[c1] A. Mookherji, Indian J. Phys. 18, 187 (1944) A. Carrington, Mol. Phys. 3, 271 (1960)

[c2] W. E. Proctor and F. C. Yu, Phys. Rev. 81, 20 (1951)

[c3] J. S. Griffith and L. E. Orgel, Trans. Faraday Soc. 53, 601 (1957)

[c4] R. Freeman, G. R. Murray, and R. E. Richards, Proc. Roy. Soc. (London) 242A, 455 (1957)

[c5] D. Shinoda and S. Asanabe, J. Phys. Soc. Japan 21, 555 (1961)

[c6] H. J. Willians, J. H. Wernick, R. C. Sherwood, and G. K. Wertheim, J. Appl. Phys. 37, 1256 (1966)

[c7] A. M. Clogston, A. C. Gossard, V. Jaccarino, and Y. Yafet, Phys. Rev. Letters 9, 262 (1962)

[c8] A. M. Clogston, V. Jaccarino, and Y. Yafet, Phys. Rev. 134, A650 (1964)

[c9] A. M. Clogston and V. Jaccarino Phys. Rev. 121, 1357 (1961) A. C. Gossard, V. Jaccarino, and J. H. Wernick, ibid. 128, 1038 (1962) ibid. 133, A881 (1964) J. A. Seitchik, A. C. Gossard, and V. Jaccarino, ibid. 136, A1119 (1964) J. A. Seitchik, V. Jaccarino, and H. J. Wernick, ibid. 138, A148 (1965)

[c10] H. J. Williams and R. C. Sherwood unpublished

[c11] T. Moriya, J. Phys. Soc. Japan 19, 681 (1964)

[c12] A. J. Freeman and R. E. Watson, in Magnetism, edited by G. Rado and H. Suhl (Academic Press Inc., New York, 1965), Vol. IIA

[c13] Y. Yafet and V. Jaccarino, Phys. Rev. 133, A1630 (1964)

[c14] J. Korringa, Physica 16, 601 (1950)

[c15] W. D. Knight, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic Press Inc., New York, 1956), Vol. 2

[c16] V. Jaccarino, G. K. Wertheim, J. H. Wernick, L. R. Walker, and F. Arajs, Phys. Rev. 160, 476 (1967)

[c17] Omitted endnote

[c18] [E. A. C. Lucken, K. Noack, and D. F. Willians, J. Chem. Soc. (London) A, 1, 148 (1967)]

[c19] C. J. Ballhausen, Introduction to Ligand Field Theory (McGraw-Hill Book Company, Inc., New York, 1962), Chap. 7

[c20] J. S. Griffith, The Theory of Transition Metal Ions (Cambridge University Press, Cambridge, England, 1964), Chap. 12

[c21] B. Bleaney and M. C. M. O'Brien, Proc. Phys. Soc. (London) 569, 1216 (1956)

[c22] M. Tinkham, Proc. Roy. Soc. (London) A236, 549 (1956)

[c23] K. W. H. Stevens, Proc. Roy. Soc. (London) A219, 542 (1953)

[c24] R. G. Shulman and S. Sugano, J. Chem. Phys. 42, 39 (1965)

[c25] Nai Li Huang and E. Simanek, J. Chem. Phys. 44, 2524 (1966)

[c26] H. Yamatera, J. Inst. Polytech., Osaka City Univ. 5, 163 (1956)

[c27] C. J. Ballhausen and R. W. Asmussen, Acta Chem. Scand. 11, 479 (1957)

[c28] M. H. Cohen and F. Reif, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic Press Inc., New York, 1957, Vol. 5)

[c29] W. H. Jones, Jr., T. P. Graham, and R. G. Barnes, Phys. Rev. 132, 1898 (1963)

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New Determination of the Nuclear Gyromagnetic Ratio $γ$ of ${Co}^{59}$

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New Determination of the Nuclear Gyromagnetic Ratio γ of Co59

Abstract

References (29)

New Determination of the Nuclear Gyromagnetic Ratio $γ$ of ${Co}^{59}$