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- W2024864557 abstract "The inelastic-neutron-scattering cross section of ($J=1$) solid hydrogen is studied and the experimental data of Stein and co-workers analyzed. The rms displacement ${〈{u}^{2}〉}^{frac{1}{2}}$ is deduced from the data via different methods and mutually consistent values of order 0.65 AA{} are obtained. The enhancement of the cross section at the libron energy due to libron-phonon interactions is found to be the same, about 40% each for both one-and two-libron processes, in agreement with the neutron scattering data. The rms splitting at the libron-phonon crossovers is found to be about 1 ${mathrm{cm}}^{ensuremath{-}1}$, somewhat smaller than found by Mertens and Biem. A sum rule for the $J=1$ to $J=0$ cross section is given which relates the average energy of this transition to the orientational internal energy. Using high-temperature expansions and experimental data for the specific heat, we obtain a qualitative fit to the neutron scattering data in the orientationally disordered phase. In the ordered phase both the sum rule and a direct calculation indicate the existence of a libron sideband above the main $J=1$ to $J=0$ line having an intensity of 10% of the main line. The energy of the main line at zero temperature is calculated including (a) tipping corrections, (b) virtual excitations with $J$ not conserved, and (c) modified zero-point energy. The value of the electrostatic quadrupole-quadrupole coupling constant deduced from the data of Stein and co-workers using this calculation is in agreement with that obtained from other experiments." @default.
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- W2024864557 date "1977-10-15" @default.
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- W2024864557 title "Theoretical analysis of inelastic neutron scattering in solid hydrogen" @default.
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- W2024864557 doi "https://doi.org/10.1103/physrevb.16.3791" @default.
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