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Prog. Theor. Phys. Vol. 44 No. 4 (1970) pp. 833-859

[ Full Text PDF : FREE ACCESS (1500K) ]

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

— First Order Processes —

Tuto Nakamura and Hiroshi Miyagi

Faculty of Engineering Science, Osaka University, Toyonaka, Osaka

(Received May 15, 1970)

Abstract:

A reformulation of the theory of libration waves is presented to study the first-order Raman scattering of solid o-H2 and p-D2, basing on the unshielded electric quadrupole-quadrupole interaction and assuming Pa3 structure to be the lowest energy configuration of J = 1 molecules. An accurate estimation of the zero point effect is given, in agreement with the previous result obtained by perturbation method. The k = 0 libration modes relevant for the first order processes are studied exactly. It is shown that the ratios of three excitation energies with k = 0 agrees fairly with the low-lying three Raman spectra observed by Silvera, Hardy and McTague for o-H2 and p-D2. The predicted value of Γ = 6e2Q2/25a5 is in a good agreement with the other measurements for p-D2, while a considerable discrepancy appears for o-H2. The theoretical intensity ratio agrees fairly with the measured result, assuming the sample to be polycrystalline. The angular dependence of the scattering cross section is given for the right angle scattering by single crystal. It is pointed out that a strong angular dependence of the scattering cross section due to the lowest mode excitation may be used to set the orientation of single crystal o-H2 and p-D2 to be possibly prepared in future. It is also pointed out that the remaining two Raman spectra observed are possibly due to the second order scattering.


URL : http://ptp.ipap.jp/link?PTP/44/833/
DOI : 10.1143/PTP.44.833

[ Full Text PDF : FREE ACCESS (1500K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 56 (1987) pp. 4586-4591 :
    Calculation of Raman Linewidths Due to Roton in Solid Parahydrogen with Orthohydrogen Impurities
    Jun-ichi Igarashi
  2. 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

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