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Prog. Theor. Phys. Vol. 38 No. 4 (1967) pp. 767-783

Theory of Rotational Excitations in Solid Ortho-Hydrogen

Shigeo Homma, Kenkichi Okada and Hirotsugu Matsuda^*

Department of Chemistry, Kyoto University, Kyoto
^*Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received June 29, 1967)

Abstract:

A theoretical study is made on the rotational excitations in solid fcc ortho-hydrogen below T_λ. The effective Hamiltonian which is quadratic in the rotational excitation operators of each molecule is set up by the method analogous to the Holstein-Primakoff theory of spin waves. The dispersion relation and the energy spectrum of the rotational excitation mode are obtained by the perturbational calculation. The expectation value of the angular momentum of each molecule generally vanishes in each energy eigenstate and the excited states can approximately be described in terms of quasi-particles for librational excitation which may be called librons. At 0°K libron has a minimum excitation energy of about 10k_B and band width of about 5k_B. The thermodynamic quantities such as free energy are numerically calculated using the state density, and the phase transition is estimated to be of first order and T_λ ≃ 4.2°K.

URL : http://ptp.ipap.jp/link?PTP/38/767/
DOI : 10.1143/PTP.38.767

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See Also:

• Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 330-330 :

  Erratum : Theory of Rotational Excitation in Solid Ortho-Hydrogen

  Shigeo Homma, Kenkichi Okada and Hirotsugu Matsuda

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References:

1. R. W. Hill and B. W. A. Ricketson, Phil. Mag. 45 (1954), 277.
   G. Ahlers and W. H. Orttung, Phys. Rev. 133 (1964), A1642[APS].
2. J. Hatton and B. V. Rollin, Proc. R. Soc. A 199 (1949), 222.
   F. Reif and E. M. Purcell, Phys. Rev. 91 (1953), 631[APS].
   G. W. Smith and R. M. Housley, Phys. Rev. 117 (1960), 732[APS].
3. K. Tomita, Proc. Phys. Soc. A 68 (1955), 213.
4. T. Nakamura, Prog. Theor. Phys. 14 (1955), 135[PTP].
5. O. Nagai and T. Nakamura, Prog. Theor. Phys. 24 (1960), 432[PTP]; ibid. 30 (1963), 412[PTP].
6. A. Danielian, Phys. Rev. 138 (1965), A282[APS].
7. G. M. Bell and W. M. Fairbairn, Mol. Phys. 4 (1961), 481; ibid. 5 (1962), 605; ibid. 8 (1964), 497.
8. J. Felsteiner, Phys. Rev. Lett. 15 (1965), 1025[APS].
9. M. Clouter and H. P. Gush, Phys. Rev. Lett. 15 (1965), 200[APS].
10. R. L. Mills and A. F. Schuch, Phys. Rev. Lett. 15 (1965), 722[APS].
    R. L. Mills, A. F. Schuch, and D. A. Depatie, Phys. Rev. Lett. 17 (1966), 1131[APS].
11. J. Van Kranendonk, Physica 25 (1959), 1080[CrossRef].
12. H. Miyagi and T. Nakamura, Prog. Theor. Phys. 37 (1967), 641[PTP].
13. T. Moriya and K. Motizuki, Prog. Theor. Phys. 18 (1957), 183[PTP].
14. J. Frenkel, Kinetic Theory of Liquids (Oxford University Press, London, 1946), p.84.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 40 No. 1 (1968) pp. 1-10 :

   Nuclear Magnetic Spin-Lattice Relaxation in Solid Ortho-Hydrogen below T_λ

   Shigeo Homma

2. Progress of Theoretical Physics Vol. 40 No. 5 (1968) pp. 1191-1193 :

   Infrared Absorption of Solid Hydrogen Associated with Orientational Excitation

   Shigeo Homma and Hirotsugu Matsuda

3. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 851-852 :

   Nuclear Magnetic Relaxation in Solid Para-Deuterium

   Shigeo Homma

4. Progress of Theoretical Physics Vol. 44 No. 4 (1970) pp. 833-859 :

   Quantum Theory of Raman Scattering in Solid Ortho-Hydrogen and Para-Deuterium. I

   Tuto Nakamura and Hiroshi Miyagi

5. Progress of Theoretical Physics Vol. 54 No. 1 (1975) pp. 19-29 :

   Theory of Phase Transition in Solid Ortho-Hydrogen. I

   Shigeo Homma and Huzio Nakano

6. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 329-350 :

   Roton Dragging Librons in the Ordered Solid Hydrogen

   Motoya Fujio, Jun-ichi Igarashi and Tuto Nakamura

7. Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 311-326 :

   Higher Order Effects on the Rotational Excitations in the Ordered Solid Hydrogen

   Jun-ichi Igarashi, Motoya Fujio and Tuto Nakamura

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