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Quantization of Molecules, Inter- and Intramolecular Forces

Kasimir Fajans and Theodore Berlin*

  • Department of Chemistry, University of Michigan, Ann Arbor, Michigan

  • *Horace H. Rackham Predoctoral Fellow, 1941-1942 and 1942-1943.

Phys. Rev. 63, 309 – Published 1 April, 1943Erratum Phys. Rev. 63, 399 (1943)

DOI: https://doi.org/10.1103/PhysRev.63.309

Abstract

In diatomic molecules (e.g., P2) the distinction is made between the quantization of the electrons of the atomic cores (P5+), which is assumed to be the same (1228) as in the free atom (P), and of the valence electrons 32,2(P5+)II2(P5+)32,2. The latter can be quantized with respect to the field of both cores ("shared" II2 electrons) and to the field of single cores ("unshared" 32,2 electrons). The Pauli principle is applied separately to the quantization of the "shared" electrons and to the others. On this basis it is possible to interrelate the great difference in the strength of the external field (intermolecular forces) of N2 and P2 with the size of the atomic cores N5+ and P5+. The comparison of the intramolecular binding strength in (AB) with that in (AB)+ supports the conclusions: in N2 all ten (not merely six) valence electrons, in HCl all eight (not two) participate in the binding of the cores N5+ and N5+, H+ and Cl7+; the molecules of monohydrides of positively di- and trivalent elements, like those of positively monovalent elements, contain hydrogen as a more of less strongly deformed H.

Erratum

Errata: Quantization of Molecules, Inter- and Intramolecular Forces

Kasimir Fajans and Theodore Berlin
Phys. Rev. 63, 399 (1943)

References (11)

  1. Communication VI on "Electronic Structure of Molecules." The previous communications in J. Chem. Phys. 10 (1942) will be quoted by the corresponding roman numerals. I. K. Fajans and N. Bauer, p. T. Berlin and K. Fajans, p. K. Fajans410; II. 691; III-V. , pp. 759-761
  2. G. Herzberg, Molecular Spectra and Molecular Structure (Prentice-Hall, Inc., New York, 1939), p. 368
  3. J. Slater, Phys. Rev. 34, 1293 (1929) ibid.36, 57 (1930) H. Bethe, Zeits. f. Physik 57, 815 (1929)
  4. Strukturbericht, Vol. II (Akademische Verlagsgesellschaft, Leipzig, 1937), p. 14
  5. Omitted endnote

  6. Omitted endnote

  7. Omitted endnote

  8. Omitted endnote

  9. G. Herzberg ([2] p. 105)
  10. Omitted endnote

  11. G. Herzberg [2] p. 390 F. L. Arnot and M. B. M'Ewen, Proc. Roy. Soc. A171, 106 (1939)

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