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Low‐Field Hyperfine Spectrum of CH4
1.C. H. Anderson, Ph.D. thesis, Harvard University, 1961 (unpublished).
2.C. H. Anderson and N. F. Ramsey, Phys. Rev. 149, 14 (1966). This work is referred to as AR.
3.P. N. Yi, I. Ozier, and C. H. Anderson, Phys. Rev. 165, 92 (1968). This work is referred to as Paper I.
4.I. Ozier, L. M. Crapo, and S. S. Lee, Phys. Rev. 172, 63 (1968). This work is referred to as Paper II.
5.I. Ozier, P. N. Yi, A. Khosla, and N. F. Ramsey, Phys. Rev. Letters 24, 642 (1970).
6.I. Ozier, S. S. Lee, and N. F. Ramsey, Conference on the Physics of Free Atoms, Berkeley, California, September 12–14, 1966 (unpublished).
7.M. Bloom, F. B. Bridges, and W. N. Hardy, Can. J. Phys. 45, 3533 (1967).
8.M. Bloom and R. Dorothy, Can. J. Phys. 45, 3411 (1967).
9.R. Y. Dong and M. Bloom, Can. J. Phys. 48, 793 (1970).
10.P. A. Beckmann, M. A. thesis, University of British Columbia 1971 (unpublished);
10.P. A. Beckmann, E. E. Burnell, and M. Bloom, Can. J. Phys., (to be published).
11.F. H. Frayer and G. E. Ewing, J. Chem. Phys. 48, 781 (1968).
12.R. F. Curl, Jr., J. V. V. Kasper, K. S. Pitzer, and K. Sathianandan, J. Chem. Phys. 44, 4636 (1966).
13.R. F. Curl, Jr., J. V. V. Kasper, and K. S. Pitzer, J. Chem. Phys. 46, 3220 (1967).
14.I. Ozier and P. N. Yi, J. Chem. Phys. 47, 5458 (1967).
15.G. Herzberg and I. Ozier (private communication).
16.A preliminary report of this work was given in P. N. Yi, I. Ozier, A. Khosla, and N. F. Ramsey, Bull. Am. Phys. Soc. 12, 509 (1967).
17.While the current manuscript was being completed, there was reported the measurement of the spin‐rotation constants of with the electric resonance molecular beam method by S. C. Wofsy, J. S. Muenter, and W. Klemperer, J. Chem. Phys. 53, 4005 (1970). Wofsy et al. calculated the spin‐rotation constants from their spectra and compared their results to the present values as reported in Ref. 16. The agreement is excellent, but again, the error limits on and are smaller in the current work.
18.The reader who wishes to omit the sections dealing with the detailed calculation of the transition frequencies by group theoretical methods should proceed from the end of Sec. II.A to the start of the last paragraph in Sec. II.D.
19.The other quantum numbers required to specify a state uniquely are defined in Sec. II.C.
20.In particular, see Sec. II.A and Fig. 1 of Ref. 2, and Sec. II.A of Ref. 3.
21.From the Hamiltonian given in Eqs. (13)–(17), there have been omitted several terms whose effect on the observed frequencies is either zero or negligibly small.
22.The magnitude of was measured in Ref. 2. The sign was determined in Ref. 6.
23.See also K. T. Hecht, J. Mol. Spectry. 5, 355 (1960);
23.K. T. Hecht, 5, 390 (1960)., J. Mol. Spectrosc.
24.J. Herranz and B. P. Stoicheff, J. Mol. Spectry. 10, 448 (1963).
25.The value of for all J and ρ is given in K. Fox and I. Ozier, J. Chem. Phys. 52, 5044 (1970).
26.J. H. Van Vleck, Rev. Mod. Phys. 23, 213 (1951).
26.See also G. R. Gunther‐Mohr, C. H. Townes, and J. H. Van Vleck, Phys. Rev. 94, 1191 (1953).
27.M. E. Rose, Elementary Theory of Angular Momentum (Wiley, New York, 1957).
28.A. R. Edmonds, Angular Momentum and Quantum Mechanics (Princeton U.P., Princeton, N.J., 1957).
29.N. F. Ramsey, Molecular Beams (Oxford U.P., London, 1956).
30.M. R. Baker, H. M. Nelson, J. A. Leavitt, and N. F. Ramsey, Phys. Rev. 121, 807 (1961).
31.I. Ozier, Ph.D. thesis, Harvard University, 1965 (unpublished).
32.P. N. Yi, Ph.D. thesis, Harvard University, 1967 (unpublished).
33.N. F. Ramsey, Phys. Rev. 85, 60 (1952).
34.A calculation which is similar to that given here, but which does not make full use of these techniques, is presented in Ref. 13. Notice, however, that the results given in Ref. 13 are valid only in the limit that is much smaller than See Ref. 14.
35.The effect of the tensor electron‐coupled spin‐spin interaction was estimated from M. Karplus, D. H. Anderson, T. C. Farrar, and H. S. Gutowsky, J. Chem. Phys. 27, 597 (1957).
36.The effect of zero‐point motion and centrifugal stretching was estimated from N. F. Ramsey, Phys. Rev. 87, 1075 (1952).
37.J. T. Hougen, J. Chem. Phys., 55, 1122 (1971).
38.Four points should be made regarding the implications of Dr. Hougen’s general arguments (see Ref. 37) for the results presented here and in the earlier works in the current series (see Refs. 2–5). (1) The principal differences lie in considerations involving the effective “constant” associated in Ref. 5 with the third‐rank distortion operator introduced in K. T. Hecht, J. Mol. Spectry. 5, 355 (1960). (2) These differences affect only a small part of the discussion appearing in Ref. 5 and do not affect any of the results presented in Refs. 2–4 or in the currect work. (3) If is invariant under time reversal, then must vanish. (4) The number and frequencies of the transition treated in the present work are independent of the magnitude of the inversion splitting.
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