Charge Transfer between Alkali-Metal Ions and Cesium Atoms

Lawrence L. Marino

doi:10.1103/PhysRev.152.46

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Charge Transfer between Alkali-Metal Ions and Cesium Atoms

Lawrence L. Marino^*

Space Science Laboratory, General Dynamics, Convair, San Diego, California

^*Present address: Lawrence Radiation Laboratory, University of California, Livermore, California.

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Phys. Rev. 152, 46 – Published 2 December, 1966

DOI: https://doi.org/10.1103/PhysRev.152.46

Abstract

The cross sections for charge transfer between alkali-metal ions and cesium atoms have been determined as a function of primary ion beam energy from 50 to 4500 eV. In all cases, structure consisting of oscillations whose amplitudes increased with primary ion beam energy was observed superimposed upon the normally expected form of the cross sections. Smith has shown that the cesium resonance results follow from the assumption that the difference between the even and odd eigenenergies ( $V_{g} - V_{u}$ ) passes through an extremum. We find that the resonant cross section can be described by $Q ({cm}^{2}) = Q_{0} ({cm}^{2}) - A V^{\frac{1}{4}} cos [π (| B | V^{\frac{- 1}{2}} - \frac{1}{4})]$ where $A = 0.75 \times 10^{- 16}$ ${cm}^{2}$ e $V^{- 1 / 4}$ , $B = - 820$ e $V^{1 / 2}$ , $V$ is the ion beam energy, and $Q_{0}$ is the nonoscillating portion of the cross section. This expression results from the assumption that $V_{g} - V_{u}$ passes through a minimum of a negative function of internuclear distance. Potential parameters consistent with the quoted values of $A$ and $B$ are given. The nonresonant results can be fitted by the form $Q = Q_{0} - A V^{\frac{1}{4}} cos [π (| B | V^{\frac{- 1}{2}} + \frac{1}{4})]$ .

References (12)

L. L. Marino, in Atomic Collision Processes, edited by M. R. C. McDowell (North-Holland Publishing Company, Amsterdam, 1964), p. 807
J. Perel, R. H. Vernon, H. L. Vernon, and H. L. Daley, Phys. Rev. 138, A937 (1965)
L. L. Marino, A. C. H. Smith, and E. Caplinger, Phys. Rev. 128, 2243 (1962)
F. J. Smith, Phys. Letters 20, 271 (1966)
S. K. Allison and M. Kamegai, Rev. Sci. Instr. 32, 1090 (1961)
J. P. Blewett and E. J. Jones, Phys. Rev. 50, 464 (1936)
K. T. Bainbridge, J. Franklin Inst. 212, 317 (1931)
J. L. Hundley, Phys. Rev. 30, 864 (1927)
D. R. Bates, in Atomic and Molecular Processes, edited by D. R. Bates (Academic Press Inc., New York, 1962), p. 602
A. Erdelyi, Asymptotic Expansions (Dover Publications, Inc., New York, 1956), p. 51
Bateman Manuscript Project, edited by A. Erdelyi (McGraw-Hill Book Company, Inc., New York, 1954), Vol. 2, p. 203
Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover Publications, Inc., New York, 1965), pp. 374 and 417

[c1] L. L. Marino, in Atomic Collision Processes, edited by M. R. C. McDowell (North-Holland Publishing Company, Amsterdam, 1964), p. 807

[c2] J. Perel, R. H. Vernon, H. L. Vernon, and H. L. Daley, Phys. Rev. 138, A937 (1965)

[c3] L. L. Marino, A. C. H. Smith, and E. Caplinger, Phys. Rev. 128, 2243 (1962)

[c4] F. J. Smith, Phys. Letters 20, 271 (1966)

[c5] S. K. Allison and M. Kamegai, Rev. Sci. Instr. 32, 1090 (1961)

[c6] J. P. Blewett and E. J. Jones, Phys. Rev. 50, 464 (1936)

[c7] K. T. Bainbridge, J. Franklin Inst. 212, 317 (1931)

[c8] J. L. Hundley, Phys. Rev. 30, 864 (1927)

[c9] D. R. Bates, in Atomic and Molecular Processes, edited by D. R. Bates (Academic Press Inc., New York, 1962), p. 602

[c10] A. Erdelyi, Asymptotic Expansions (Dover Publications, Inc., New York, 1956), p. 51

[c11] Bateman Manuscript Project, edited by A. Erdelyi (McGraw-Hill Book Company, Inc., New York, 1954), Vol. 2, p. 203

[c12] Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover Publications, Inc., New York, 1965), pp. 374 and 417

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Charge Transfer between Alkali-Metal Ions and Cesium Atoms

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