Radiative Lifetime of the First <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi>P</mi></mrow><mrow><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mrow><mrow></mrow><mrow></mrow><mrow></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>2</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math></span> State of Ionized Calcium and Magnesium by the Hanle Effect

Winthrop W. Smith; Alan Gallagher

doi:10.1103/PhysRev.145.26

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Radiative Lifetime of the First ${}^{2}P_{\frac{3}{2}}$ State of Ionized Calcium and Magnesium by the Hanle Effect

Winthrop W. Smith^*,† and Alan Gallagher^‡

Joint Institute for Laboratory Astrophysics, Boulder, Colorado

^*Present address: Department of Physics, Columbia University, New York, New York.
^†National Academy of Sciences-National Research Council Postdoctoral Fellow assigned to National Bureau of Standards (1963-65).
^‡Of the University of Colorado and the National Bureau of Standards, Boulder, Colorado.

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Phys. Rev. 145, 26 – Published 6 May, 1966

DOI: https://doi.org/10.1103/PhysRev.145.26

Abstract

The lifetime of the ${Ca}^{+}$ $4 {}^{2}P_{\frac{3}{2}}$ state and that of the ${Mg}^{+}$ $3 {}^{2}P_{\frac{3}{2}}$ state have been measured by the Hanle-effect method with optical excitation from the ground states of the ions. The lifetimes are, respectively, (6.72±0.20)× $10^{- 9}$ and (3.67±0.18)× $10^{- 9}$ sec. The ions were produced by introducing traces of calcium or magnesium into an argon discharge. "Alignment" depolarization cross sections $σ$ were obtained for the collisional depolarization of the following states of calcium and magnesium due to collisions with argon: $σ (Ca 4 {}^{1}P_{1} state) = (1.9 \pm 0.3) \times 10^{- 14} {cm}^{2};$ $σ ({Ca}^{+} 4 {}^{2}P_{\frac{3}{2}} state) = (1.4 \pm 0.2) \times 10^{- 14} {cm}^{2};$ $σ (Mg 3 {}^{1}P_{1} state) = (1.9 \pm 0.3) 10^{- 14} {cm}^{2};$ $σ ({Mg}^{+} 3 {}^{2}P_{\frac{3}{2}} state) = (1.3 \pm 0.25) \times 10^{- 14} {cm}^{2} .$

The magnitudes of these cross sections are in accord with the theories of Byron and Foley and of Omont; we give a discussion of the extension of these theories to include ion-atom collisions.

References (35)

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A. C. G. Mitchell and M. W. Zemansky, Resonance Radiation and Excited Atoms (Cambridge University Press, New York, 1961), Chap. V
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C. H. Corliss and W. R. Bozman, Natl. Bur. Std. (U. S.) Monograph 53 (1962)
J. P. Barrat, J. Phys. Radium 20, 633 (1959)
A. Lurio and R. Novick, Phys. Rev. 134, A608 (1964)
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Omitted endnote
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Omitted endnote
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[22], [22]
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C. H. Corliss and W. R. Bozman, Natl. Bur. Std. (U. S.) Monograph 53, (1962). p. XV

[c1] A. S. Douglas and R. H. Garstang, Proc. Cambridge Phil. Soc. 58, 377 (1962)

[c2] A. C. G. Mitchell and M. W. Zemansky, Resonance Radiation and Excited Atoms (Cambridge University Press, New York, 1961), Chap. V

[c3] A. Lurio, R. L. deZafra, and R. J. Goshen, Phys. Rev. 134, A1198 (1964)

[c4] C. H. Corliss and W. R. Bozman, Natl. Bur. Std. (U. S.) Monograph 53 (1962)

[c5] J. P. Barrat, J. Phys. Radium 20, 633 (1959)

[c6] A. Lurio and R. Novick, Phys. Rev. 134, A608 (1964)

[c7] S. Heron, R. W. P. McWhirter, and E. H. Rhoderick, Proc. Roy. Soc. (London) A234, 565 (1956) W. R. Bennett, Jr., in Advances in Quantum Electronics, edited by J. Singer (Columbia University Press, New York, 1961)

[c8] W. Demtröder, Z. Physik. 166, 42 (1962) G. M. Lawrence, J. Quant. Spectry. Radiative Transfer 5, 359 (1965)

[c9] Brossel and Bitter, Phys. Rev. 86, 308, (1952) J. C. Pebay-Peyroula, J. Phys. Radium (Paris) 20, 669, 721 (1959) E. Geneux and B. Wanders-Vincenz, Phys. Rev. Letters 3, 422 (1959)

[c10] H. W. B. Skinner and E. T. S. Appleyard, Proc. Roy. Soc. (London) A117, 224 (1928)

[c11] J. C. Pebay-Peyroula et al., Compt. Rend. 256, 5088 (1963) ibid.257, 3130 (1963) W. Kahan, T. Lucatorto, and R. Novick, Bull. Am. Phys. Soc. 9, 451 (1964)

[c12] P. Franken, Phys. Rev. 121, 508 (1961)

[c13] G. Breit, Rev. Mod. Phys. 5, 91 (1933)

[c14] M. E. Rose and R. L. Carovillano, Phys. Rev. 122, 1185 (1961)

[c15] Omitted endnote

[c16] H. Wahlquist, J. Chem. Phys. 35, 1708 (1961)

[c17] W. W. Smith, Phys. Rev. 137, A330 (1965)

[c18] A. Gallagher and A. Lurio, Phys. Rev. Letters 10, 25 (1963)

[c19] M. N. McDermott and R. Novick, J. Opt. Soc. Am. 51, 1008 (1961)

[c20] A. L. Bloom, Appl. Opt. 1, 61 (1962)

[c21] Omitted endnote

[c22] B. Budick, R. Novick, and A. Lurio, Appl. Opt. 4, 229 (1965)

[c23] [22], [22]

[c24] M. Zelikoff et al., J. Opt. Soc. Am. 42, 818 (1952)

[c25] K. B. Persson, Natl. Bur. Std. (U. S.) Rept. 8452 (1964) Bull. Am. Phys. Soc. 10, 191 (1965)

[c26] F. W. Byron and H. M. Foley, Phys. Rev. 134, A625 (1964)

[c27] A. Omont, J. Phys. Radium 26, 26 (1965)

[c28] M. I. D'Yakonov and V. I. Perel, Zh. Eksperim. i Teor. Fiz. 48, 345 (1965) [English transl.: Soviet Phys.—JETP 21, 227 (1965)]

[c29] [26–28] [27,28] W. Happer and E. B. Saloman, Phys. Rev. Letters 15, 441 (1965)

[c30] A. Gallagher and A. Lurio, Phys. Rev. 136, A87 (1964)

[c31] A. Lurio, Phys. Rev. 136, A376 (1964)

[c32] E. Hulpke, E. Paul, and W. Paul, Z. Physik 177, 257 (1964)

[c33] L. Biermann and K. Lübeck, Z. Astrophys. 25, 325 (1948)

[c34] D. R. Bates and A. Damgaard, Proc. Roy. Soc. (London) A242, 101 (1949)

[c35] C. H. Corliss and W. R. Bozman, Natl. Bur. Std. (U. S.) Monograph 53, (1962). p. XV

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Radiative Lifetime of the First ${}^{2}P_{\frac{3}{2}}$ State of Ionized Calcium and Magnesium by the Hanle Effect

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Radiative Lifetime of the First P322 State of Ionized Calcium and Magnesium by the Hanle Effect

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Radiative Lifetime of the First ${}^{2}P_{\frac{3}{2}}$ State of Ionized Calcium and Magnesium by the Hanle Effect