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Rotation—Translation‐Coupling Effect in Noble‐Gas Crystals Containing Molecular Impurities
1.H. Friedmann and S. Kimel, J. Chem. Phys. 41, 2552 (1964).
2.H. Friedmann and S. Kimel, J. Chem. Phys. 43, 3925 (1965).
3.H. Friedmann and S. Kimel, J. Chem. Phys. 44, 4359 (1966).
4.J. M. P. J. Verstegen, H. Goldring, S. Kimel, and B. Katz, J. Chem. Phys. 44, 3216 (1966).
5.D. E. Mann, N. Acquista, and D. White, J. Chem. Phys. 44, 3453 (1966).
6.L. F. Keyser and G. W. Robinson, J. Chem. Phys. 44, 3225 (1966).
7.M. T. Bowers, G. I. Kerley, and W. H. Flygare, J. Chem. Phys. 45, 3399 (1966).
8.B. Katz, thesis, Israel Institute of Technology, 1967.
9.B. Katz, A. Ron, and O. Schnepp, J. Chem. Phys. 46, 1926 (1967).
10.S. J. Allen, J. Chem. Phys. 44, 394, 4654 (1966).
11.G. E. Ewing and S. Trajmar, J. Chem. Phys. 41, 814 (1964).
12.G. E. Ewing and S. Trajmar, J. Chem. Phys. 42, 4038 (1965).
13.G. W. Holleman and G. E. Ewing, J. Chem. Phys. 44, 3121 (1966).
14.A. Bellemans, Nuovo Cimento 9, 181 (1958).
15.A. Babloyantz, Mol. Phys. 2, 39 (1959).
16.H. Friedmann, Advan. Chem. Phys. 4, 225 (1962).
17.R. L. Redington and D. E. Milligan, J. Chem. Phys. 37, 2162 (1962);
17.R. L. Redington and D. E. Milligan, 39, 1267 (1963)., J. Chem. Phys.
18.R. M. Herman, J. Chem. Phys. 44, 1346 (1966).
19.A. F. Devonshire, Proc. Roy. Soc. (London) A153, 601 (1936).
20.A. Cabana, G. B. Savitsky, and D. F. Hornig, J. Chem. Phys. 39, 2942 (1963);
20.A. Cabana, A. Anderson, and R. Savoie, J. Chem. Phys. 42, 1122 (1965). , J. Chem. Phys.
20.A. Chamberland and A. Cabana, Symposium on Molecular Structure and Spectroscopy, Columbus, Ohio, 1966, Lecture K8.
21.H. F. King and D. F. Hornig, J. Chem. Phys. 44, 4520 (1966).
22.Conservation of parity is a property resulting from the inversion symmetry at a lattice site and is therefore not restricted to the cell model.
23.L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon Press Ltd., London, 1958), pp. 88, 102.
24.P. Barchewitz, Spectroscopie Infrarouge. I. Vibrations Moléculaires (Gauthier‐Villars, Paris, 1961).
25.P. C. Cross, R. M. Hainer, and G. W. King, J. Chem. Phys. 12, 210 (1944).
26.The degeneracy, with respect to L, contrary to that with respect to l, can be lifted without having to solve a secular equation since the perturbation is diagonal in L.
27.E. B. Wilson, J. C. Decius, and P. C. Cross, Molecular Vibrations (McGraw‐Hill Book Co., New York, 1955). The effect of intermolecular forces on is not discussed here.
28.If the molecular dimensions are small compared to the size of the cavity in the matrix or if the molecular rotational constant is large (e.g., HF), becomes small so that additional transitions originating from the state 01, such as the line from may be expected. However, for small ξ the translational frequency of the impurity would not be localized but lie in the region of the phonon bands. See Discussion.
29.An equivalent method has been given by A. Dalgarno, Quantum Theory, D. R. Bates, Ed. (Academic Press Inc., New York, 1961), p. 172.
30.In some respects the method described in this section is similar to a procedure developed by F. London, Z. Physik 63, 245 (1930).
31.A solution of Eq. (29) will already lead to a good approximation for the levels lying at the centers of the sets α, β, γ ⋯ and also for the lowest levels of α, the lowest set.
32.In general RTC lifts the ‐fold degeneracy of the level Jn of a rotor oscillating in a cell, according to the values taken by l and L. For given values of J and n the quantum numbers l and L can take values if and values if Of course the ‐fold degeneracy with respect to M is not removed.
33.M. T. Bowers and W. H. Flygare, J. Chem. Phys. 44, 1389 (1966).
34.L. C. Brunel and M. Peyron, Compt. Rend. 262, 1297 (1966).
35.H. F. Shurvell, thesis, University of British Columbia, 1964.
36.H. Vu, M. R. Atwood, and E. Staude, Compt. Rend. 257, 1771 (1963);
36.H. Vu, J. Phys. 25, 741 (1964).
37.O. J. Eder, S. H. Chen, and P. A. Egelstaff, Proc. Phys. Soc. (London) 89, 833 (1966).
38.R. Kriegler, J. van Kranendonk, and H. L. Welsh, Symposium on Molecular Structure and Spectroscopy, Columbus, Ohio, 1966, Lecture K7.
39.W. H. Flygare, J. Chem. Phys. 39, 2263 (1963).
40.Krishnaji and V. Prakash, Rev. Mod. Phys. 38, 690 (1966).
40.D. E. Stogryn and A. P. Stogryn, Mol. Phys. 11, 371 (1966).
41.M. Wagner, Phys. Rev. 131, 1443 (1963);
41.M. Wagner, 133, A750 (1964)., Phys. Rev.
42.J. Grindlay and R. Howard, Lattice Dynamics (Pergamon Press, Inc., New York, 1964), p. 129;
42.J. S. Brown and G. K. Horton, Phys. Rev. Letters 18, 647 (1967).
43.D. W. Robinson and W. G. Von Holle, J. Chem. Phys. 44, 410 (1966).
44.G. K. Pandey and S. Chandra, J. Chem. Phys. 45, 4369 (1966).
45.A. A. Maradudin, Rept. Progr. Phys. 28, 331 (1965).
46.P. G. Dawber and R. J. Elliott, Proc. Phys. Soc. (London) 81, 453 (1963);
46.P. G. Dawber and R. J. Elliott, Proc. Roy. Soc. (London) A273, 222 (1963);
46.R. J. Elliott and D. W. Taylor, Proc. Phys. Soc. (London) 83, 189 (1964).
47.R. Brout and W. Visscher, Phys. Rev. Letters 9, 54 (1962).
48.The localized nature of the oscillation of the impurity molecule is essential for the use of a cell‐model treatment. If the phonon spectrum of the lattice containing a defect does not exhibit a mode outside the phonon band, the cell model does not apply.
49.G. O. Jones and J. M. Woodfine, Proc. Phys. Soc. (London) 86, 101 (1965).
50.Y. Izyumov, Advan. Phys. 14, 569 (1965).
51.P. D. Mannheim, M.Sc. thesis, Weizmann Institute of Science, Rehovoth, 1967.
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