Level Crossing Determination of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>τ</mi><mo>(</mo><mrow><mmultiscripts><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow><mrow></mrow><mrow></mrow><mrow></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>1</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow><mo>)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>g</mi></mrow><mrow><mi>J</mi></mrow></msub></mrow><mo>(</mo><mrow><mmultiscripts><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow><mrow></mrow><mrow></mrow><mrow></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>3</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> in Zinc and the hfs of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">Zn</mi></mrow><mrow><mn>65</mn></mrow></msup></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">Zn</mi></mrow><mrow><mn>67</mn></mrow></msup></mrow></math>

A. Landman; R. Novick

doi:10.1103/PhysRev.134.A56

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Level Crossing Determination of $τ ({}^{1}P_{1})$ and $g_{J} ({}^{3}P_{1}$ in Zinc and the hfs of ${Zn}^{65}$ and ${Zn}^{67}$

A. Landman^* and R. Novick^†

Columbia Radiation Laboratory, Columbia University, New York, New York

^*Present address: Institute for the Study of Metals, University of Chicago, Chicago, Illinois.
^†Alfred P. Sloan Foundation Fellow.

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Phys. Rev. 134, A56 – Published 6 April, 1964

DOI: https://doi.org/10.1103/PhysRev.134.A56

Abstract

Optical detection of level crossing in the $(4 s 4 p) {}^{3}P_{1}$ state of stable ${Zn}^{67}$ and of 245-day ${Zn}^{65}$ , using the intercombination line at 3076 Å, has resulted in a precise determination of the ratios of the dipole and quadrupole hyperfine coupling constants in each of the isotopes to the Landé $g_{J}$ factor of this state. Using these results and the values of the dipole coupling constant for each isotope, as determined from double resonance experiments, we obtain the following values for the atomic $g$ factor and "isolated" quadrupole interaction constants: ${Zn}^{67}$ : $g_{J} = 1.501006 (8)$ and $B = - 18.770 (12)$ Mc/sec, ${Zn}^{65}$ : $g_{J} = 1.500984 (20)$ and $B = 2.867 (12)$ Mc/sec. The results for $B$ agree with those obtained from double resonance, indicating the adequacy of our treatment of the second-order fine-structure corrections. The lifetime ( $τ$ ) of the $(4 s 4 p) {}^{1}P_{1}$ state of Zn has been determined to be $τ = (1.38 \pm 0.05) \times 10^{- 9}$ sec through the observation of the zero-field level crossing (Hanle effect), using the resonance line at 2138 Å. These latter experiments were performed with natural zinc (96% even isotopes), and included the quantitative determination of coherence narrowing.

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Omitted endnote
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[c1] J. Brossel and F. Bitter, Phys. Rev. 86, 308 (1952)

[c2] G. W. Series, Rept. Progr. Phys. 22, 280 (1959)

[c3] F. D. Colegrove, P. A. Franken, R. R. Lewis, and R. H. Sands, Phys. Rev. Letters 3, 420 (1959)

[c4] G. Breit, Rev. Mod. Phys. 5, 91 (1933)

[c5] P. A. Franken, Phys. Rev. 121, 508 (1961)

[c6] M. E. Rose and R. L. Carovillano, Phys. Rev. 122, 1185 (1961)

[c7] T. G. Eck, L. L. Foldy, and H. Wieder, Phys. Rev. Letters 10, 239 (1963)

[c8] H. R. Hirsch, Bull. Am. Phys. Soc. 5, 274 (1960) J. Opt. Soc. Am. 51, 1192 (1961)

[c9] J. N. Dodd, Proc. Phys. Soc. (London) 77, 669 (1961) ibid.78, 65 (1961)

[c10] P. Thaddeus and R. Novick, Phys. Rev. 126, 1774 (1962)

[c11] F. Byron, M. N. McDermott, and R. Novick, Phys. Rev. (to be published)

[c12] F. Byron, M. N. McDermott, R. Novick, B. Perry, and E. Saloman, Phys. Rev. 134, A47 (1964)

[c13] A. Lurio and R. Novick, Phys. Rev. (to be published)

[c14] A. Lurio, M. Mandel, and R. Novick, Phys. Rev. 126, 1758 (1962)

[c15] H. Bucka, B. Budick, A. Lurio, and R. Novick (to be published)

[c16] A. Lurio (private communication)

[c17] J. P. Barrat, J. Phys. Radium 20, 541, 633, 657 (1959)

[c18] S. Dushman, Scientific Foundation of Vacuum Technique (John Wiley & Sons, Inc., New York, 1949)

[c19] Omitted endnote

[c20] Omitted endnote

[c21] C. Schwartz, Phys. Rev. 97, 380 (1955) ibid.105, 173 (1957)

[c22] S. Liebes and P. Franken, Phys. Rev. 116, 633 (1959)

[c23] V. W. Hughes, article in Recent Research in Molecular Beams, edited by I. Estermann (Academic Press Inc., New York, 1959)

[c24] M. F. Crawford, W. M. Gray, F. M. Kelly, and A. L. Schawlow, Can. J. Res. A28, 138 (1950)

[c25] A. Abragam and J. H. Van Vleck, Phys. Rev. 92, 1448 (1953)

[c26] A. Lurio, G. Weinreich, C. W. Drake, V. W. Hughes, and J. A. White, Phys. Rev. 120, 153 (1960)

[c27] B. Mishra, Proc. Cambridge Phil. Soc. 48, 511 (1952)

[c28] A. Lurio, Phys. Rev. 126, 1768 (1962)

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Level Crossing Determination of $τ ({}^{1}P_{1})$ and $g_{J} ({}^{3}P_{1}$ in Zinc and the hfs of ${Zn}^{65}$ and ${Zn}^{67}$

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Level Crossing Determination of τ(P11) and gJ(P13 in Zinc and the hfs of Zn65 and Zn67

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Level Crossing Determination of $τ ({}^{1}P_{1})$ and $g_{J} ({}^{3}P_{1}$ in Zinc and the hfs of ${Zn}^{65}$ and ${Zn}^{67}$