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Gold, Albert; Knox, Robert

doi:10.1103/physrev.113.834

Cited by 71 publications

(16 citation statements)

References 8 publications

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“…For neon 16 and argon 17 there are available Hartree-Fock calculations of the oscillator strengths of the resonance lines. No theoretical calculations have been carried out for the oscillator strengths of the resonance lines of krypton and xenon and we adopted the experimental values suggested by Koch from an analysis of his refractive-index data.…”

Section: Resultsmentioning

confidence: 99%

Van der Waals Forces for the Inert Gases

Kingston

1964

Phys. Rev.

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Theoretical and experimental values of electric-dipole oscillator strengths for inert-gas atoms are analyzed to yield a set of oscillator strengths, which satisfy the Thomas-Kuhn sum rule, and which reproduce the experimental refractive indices and Verdet constants. These oscillator strengths are then used to calculate the long-range van der Waals interaction between all pairs of atoms selected from helium, neon, argon, krypton, and xenon. The derived interaction constants are probably in error by less than 10%. They disagree with the currently accepted values of the interaction constants. INTRODUCTIONT HE magnitudes of the long-range interactions between pairs of atoms are required in such diverse fields as low-energy elastic scattering, transport phenomena, crystal structure, and collision broadening of spectral lines. 1 In general, the quantum-mechanical calculation of this long range interaction is difficult and very few accurate theoretical calculations have been carried out. However, since the leading term in the series representation of the long-range force between two atoms can be expressed in terms of the electricdipole oscillator strengths of the atoms, 2 we can determine the magnitude of the long-range interaction between atoms for which we have reliable oscillator strengths. Previous theoretical calculations have determined the long-range interaction between two hydrogen atoms, 3 between two helium atoms, 4,5 between helium and its two metastable states, 6 between the two metastable states of helium, 6 between the alkali atoms and hydrogen, 7 between the alkali atoms and the inert gas atoms, 7 between the alkali atoms and the alkali atoms, 7 and also between all pairs selected from H, He, Ne, and A. 5 Using recently measured experimental values of the photoionization cross sections for neon, 8 argon, 9,10 krypton, 11,12 and xenon 9,13 and theoretical values of the oscillator strengths of helium, 14 we obtain the long-range interaction between all the inert gases.

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Section: Resultsmentioning

confidence: 99%

Van der Waals Forces for the Inert Gases

Kingston

1964

Phys. Rev.

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“…The diagonal elements of the nuclear perturbation matrix for the 3s states are close to those obtained before with the SCF orbitals of Gold and Knox [3]. In paper I the 3d, 4s and 4p orbitals were based on Slater orbitals with hydrogenic exponents (~ = n -1) and the 3p orbital was given the exponent ~ = 0.6833 in accord with Slater's rules.…”

Section: Calculations On H~omentioning

confidence: 94%

“…The Rydberg valence state energies of the united atom are calculated from these parameters. 3. The matrix of the perturbation appropriate to the removal of protons from the united atom nucleus is calculated for this basis of valence states and diagonalized.…”

Section: Introductionmentioning

confidence: 99%

The correlation between molecular and atomic Rydberg levels

1971

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Calculations have been made on the energies of the Rydberg states of H20 and H2S using a basis of wave functions of the united atoms (Ne or Ar). There is a large mixing of states induced by the potential of the protons,showing that the use of atomic quantum numbers (n, l, m) to designate the Rydberg bands is only a rough guide to their character.The calculated energy levels of H20 are in good agreement with experiment, the only notable failure being in the order of the IB1 and 1At (3p) levels. The calculations on H2S are intended to be a guide to the interpretation of the spectrum which is so far incomplete. We conclude that the first broad absorption band of H2S (2700-1650 30 should be made up of at least three electronic transitions, one of which is symmetry forbidden. We also conclude that some of the Rydberg levels are associated with series that extrapolate to the second ionization potential rather than the first.

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“…In complete analogy to the free atomic case the oscll- (27), (28) lator strengths for the singlet and triplet transitions are given, respectively, by = ) (6.7) 97rt*(iP. )'50) (fdol=-le 15…”

Section: Oscillator Strenotbs and Integrated Absorption Coefficientsmentioning

confidence: 99%

“…(26), (27) Reference 16 discusses the neglect of configuration internetiana in connection with the exciton problem in solid rare-gases.…”

Section: Compotation Of First-order Energz Papametersmentioning

confidence: 99%