Near Ultraviolet Solution Spectra of the Diazines
The near ultraviolet spectra of the diazines and various derivatives have been obtained in several solvents. Intensities, contours, and positions of the observed bands are combined with a valence-bond...
The near ultraviolet spectra of the diazines and various derivatives have been obtained in several solvents. Intensities, contours, and positions of the observed bands are combined with a valence-bond...
Triple-Dipole Interaction. II. Cohesion in Crystals of the Rare Gases
The dependence of the triple-interaction between three neutral atoms on the configuration of the latter suggests a possible explanation of the structure of the crystals of Ne, A, Kr, and Xe. The latte...
The dependence of the triple-interaction between three neutral atoms on the configuration of the latter suggests a possible explanation of the structure of the crystals of Ne, A, Kr, and Xe. The latte...
Triple-Dipole Interaction. I. Theory
J. Chem. Phys. 19, 719 (1951); doi:10.1063/1.1748339
Issue Date: June 1951
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Third-order perturbation theory is applied to the van der waals-type interaction between neutral atoms. An interaction between triplets of atoms results. The derivation of the third-order energy interaction W0![[prime]](http://scitation.aip.org/stockgif3/prime.gif)
, is outlined, the procedure being somewhat similar to that used by London in his application of second-order perturbation theory to interatomic interaction. Since the perturbing potential is limited to the dipole-dipole term, the energy W0 is called the triple-dipole interaction. The latter depends not only on the interatomic distances but also on the shape of the triangle formed by the three atoms; W0 is positive for all acute and negative for most obtuse triangles.
The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
, is outlined, the procedure being somewhat similar to that used by London in his application of second-order perturbation theory to interatomic interaction. Since the perturbing potential is limited to the dipole-dipole term, the energy W0 is called the triple-dipole interaction. The latter depends not only on the interatomic distances but also on the shape of the triangle formed by the three atoms; W0 is positive for all acute and negative for most obtuse triangles.
The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
| History: | Received March 5, 1951 |
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http://link.aip.org/link/?JCPSA6/19/719/1 |
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- Triple-Dipole Interaction. II. Cohesion in Crystals of the Rare Gases
B. M. Axilrod
J. Chem. Phys. 19, 724 (1951)
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0021-9606 (print)
1089-7690 (online)
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REFERENCES (16)
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- B. M. Axilrod and E. Teller, J. Chem. Phys. 11, 299 (1943).
- B. M. Axilrod, J. Chem. Phys. 17, 1349 (1949).
- F. London,
Z. Physik 63, 245 (1930) . - F. London, Z. Physik. Chem. 11B, 222 (1930).
- H. Margenau, Phys. Rev. 38, 747 (1931).
- H. Margenau, J. Chem. Phys. 9, 896 (1938).
- J. E. Mayer, J. Chem. Phys. 1, 270 (1933).
- V. Dietz,
J. Franklin Inst. 219, 459 (1935) . - Born, Heisenberg, and Jordan, Z. Physik 35, 588 (1925/26). The equation for Wk
![[triple-prime]](http://scitation.aip.org/stockgif3/prime3-script.gif)
is not in the same form as shown in the reference; a single summation was separated into two sums. - E. C. Kemble, Fundamental Principles of Quantum Mechanics (McGraw-Hill Book Company, Inc., 1937), p. 540.
- F. Seitz, Modern Theory of Solids (McGraw-Hill Book Company, Inc., New York, 1940), p. 267.
- Reference 10, p. 541. The selection rule for
L holds quite well except for heavy atoms. - L. C. Pauling and E. B. Wilson, Jr., Introduction to Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1935), p. 204.
- The angular dependence part of the formula (33) was given previously in reference 1; the constant factor was reported to be of the order of V
3. Equations (32) and (33) were stated in reference 2. - In March, 1948, Mr. Y. Muto of Japan wrote to the author that he had worked out the formula for W0 for three like atoms. He stated his results were published during World War II in a Japanese scientific journal, which he did not identify. The angular dependence part of his formula, although in a different form, was found to agree with Eq. (33). The factor obtained by Mr. Muto corresponding to
V
3 (see Eq. (33)) appeared to be in agreement with the latter. - For r0, see J. C. Slater, Introduction to Chemical Physics (McGraw-Hill Book Company, Inc., New York, 1939), p. 416; for average values were taken from Handbuch der Physik, second edition, 24/2, p. 942.
