Hyperfine Structure of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>3</mn><mrow><mmultiscripts><mrow><mi>P</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>2</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>4</mn><mrow><mmultiscripts><mrow><mi>P</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>2</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> States of Lithium and Lifetime of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>3</mn><mrow><mmultiscripts><mrow><mi>P</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>2</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> State

R. C. Isler; S. Marcus; R. Novick

doi:10.1103/PhysRev.187.76

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Hyperfine Structure of the $3 {}^{2}P$ and $4 {}^{2}P$ States of Lithium and Lifetime of the $3 {}^{2}P$ State

R. C. Isler^*, S. Marcus^†, and R. Novick^‡

Columbia Radiation Laboratory, Department of Physics, Columbia University, New York, New York 10027

^*Present address: University of Florida, Department of Physics and Astronomy, Gainesville, Fla. 32601.
^†Submitted in partial fulfillment for the degree of Doctor of Philosophy at Columbia University, 1967. Present Address: United Aircraft Research Laboratories, E. Hartford, Conn. 06108.
^‡Alfred P. Sloan Research Fellow.

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Phys. Rev. 187, 76 – Published 5 November, 1969

DOI: https://doi.org/10.1103/PhysRev.187.76

Abstract

The technique of level crossing spectroscopy has been used to study the hyperfine structure of the $3 {}^{2}P$ and $4 {}^{2}P$ states of ${Li}^{7}$ and the $3 {}^{2}P$ state of ${Li}^{6}$ . Both low-field (<2 G) and high-field (≈915 G) level crossings were observed for the $3 {}^{2}P$ state of ${Li}^{7}$ . With the assumption that the ordinary magnetic-dipole coupling constants are related by $a_{\frac{d 1}{2}} = 5 a_{\frac{d 3}{2}}$ , values have been obtained for $a_{\frac{d 3}{2}}$ and the core-polarization constant $a_{c}$ . In the $4 {}^{2}P$ state of ${Li}^{7}$ and the $3 {}^{2}P$ state of ${Li}^{6}$ we have inferred from our measurements individual values for $a_{\frac{d 3}{2}}$ and $a_{c}$ which are consistent with the assumptions that both constants scale as the ratio of nuclear $g$ factors among different isotopes and that they scale as $\frac{1}{n^{3}}$ among all the $n {}^{2}P$ states. The lifetime of the $3 {}^{2}P$ state has also been obtained from the high-field level crossing data. The results for the hyperfine constants in MHz are the following: $3 {}^{2}P$ ${Li}^{7}$ : $a_{\frac{d 3}{2}} = 2.11 (3)$ , $a_{c} = - 3.08 (3)$ , $4 {}^{2}P$ ${Li}^{7}$ : $a_{\frac{d 3}{2}} = 0.89 (2)$ , $a_{c} = - 1.30 (2)$ , $3 {}^{2}P$ ${Li}^{6}$ : $a_{\frac{d 3}{2}} = 0.80 (2)$ , $a_{c} = - 1.20 (2)$ . The lifetime of the $3 {}^{2}P$ state is $τ (3 {}^{2}P {Li}^{7}) = 182 (6)$ nsec.

References (26)

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Omitted endnote
E. Hinnov and H. Kohn, J. Opt. Soc. Am. 51, 1058 (1961)
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[c1] F. D. Colgrove, P. A. Franken, R. R. Lewis, and R. H. Sands, Phys. Rev. Letters 3, 420 (1959)

[c2] A. Lurio, R. L. DeZafra, and R. J. Goshen, Phys. Rev. 134, 1198 (1964)

[c3] A. Gallagher and A. Lurio, Phys. Rev. 136, 87 (1964)

[c4] W. W. Smith and A. Gallagher, Phys. Rev. 145, 26 (1966)

[c5] H. R. Hirsch and C. V. Stager, J. Opt. Soc. Am. 50, 1052 (1960) H. R. Hirsch, ibid. 51, 1192 (1961)

[c6] P. Thaddeus and R. Novick, Phys. Rev. 126, 1774 (1962)

[c7] G. Breit, Rev. Mod. Phys. 5, 91 (1933)

[c8] H. H. Stroke, G. Fulop, S. Klepner, and O. Redi, Phys. Rev. Letters 21, 61 (1968)

[c9] J. Von Neumann and E. Wigner, Z. Physik 30, 467 (1929)

[c10] R. Isler, S. Marcus, and R. Novick, preceding paper, Phys. Rev. 187, 66 (1969)

[c11] B. Budick, R. Novick, and A. Lurio, Appl. Opt. 4, 229 (1965)

[c12] Omitted endnote

[c13] E. Hinnov and H. Kohn, J. Opt. Soc. Am. 51, 1058 (1961)

[c14] A. N. Filipov, Z. Physik 69, 526 (1931) Zh. Eksperim. i Teor. Fiz. 2, 24 (1932) (Translated in "Optical Transition Probabilities," Office of Technical Services, U.S. Department of Commerce, Washington, D. C.)

[c15] K. C. Brog, H. Wieder, and T. Eck, Phys. Rev. 153, 91 (1967)

[c16] O. S. Heavens, J. Opt. Soc. Am. 51, 1058 (1961)

[c17] A. W. Weiss, Astrophys. J. 138, 1262 (1963)

[c18] D. A. Goodings, Phys. Rev. 123, 1706 (1961)

[c19] J. S. M. Harvey, Proc. Roy. Soc. (London) A285, 581 (1965)

[c20] J. D. Lyons, R. T. Pu, and T. P. Das [Phys. Rev. 178, 103 (1969)]

[c21] C. Schwartz, Phys. Rev. 97, 380 (1955)

[c22] G. J. Ritter, Can. J. Phys. 43, 770 (1965)

[c23] H. Kopferman, Nuclear Moments (Academic Press Inc., New York, 1958)

[c24] R. M. Sternheimer, Phys. Rev. 164, 10 (1967)

[c25] L. Wharton, L. P. Gold, and W. Klemperer, Phys. Rev. 133, 270 (1964)

[c26] S. L. Kahalas and R. K. Nesbet, Phys. Rev. Letters 6, 549 (1961) J. Chem. Phys. 39, 529 (1963)

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Hyperfine Structure of the $3 {}^{2}P$ and $4 {}^{2}P$ States of Lithium and Lifetime of the $3 {}^{2}P$ State

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Hyperfine Structure of the 3P2 and 4P2 States of Lithium and Lifetime of the 3P2 State

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Hyperfine Structure of the $3 {}^{2}P$ and $4 {}^{2}P$ States of Lithium and Lifetime of the $3 {}^{2}P$ State