Abstract
Various forms of semiclassical corrections in the theory of incoherent inelastic neutron scattering from molecular liquids are examined. In this study, referring to liquid water, the internal molecular vibrations are treated by quantum mechanics whereas the translations-rotations are described by employing different classical or semiclassical approximations. It is shown that a fully classical molecular-dynamics simulation is not applicable to the problem.
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References
G. H. Vineyard. Scattering of slow neutrons by a liquid. Phys. Rev., 110, 999 (1958).
P. Schofield. Space-time correlation function formalism for slow neutron scattering. Phys. Rev. Lett., 4, 239 (1960).
P.A. Egelstaff. Inelastic Neutron Scattering in Solids and Liquids. International Atomic Energy Agency, Vienna, 1960, p.25.
P.Schofield. Inelastic Neutron Scattering in Solids and Liquids. International Atomic Energy Agency, Vienna, 1960, p.39.
R. Aamodt, K.M. Case, M. Rosenbaum and P.F. Zweifel. Quasi-classical treatment of neutron scattering. Phys. Rev., 126, 1165 (1962).
M. Rosenbaum and P.F. Zweifel. Quasiclassical theory of neutron scattering. Phys. Rev., 137, B 271 (1965).
V.F. Sears. Neutron scattering in almost-classical liquids. Phys. Rev. A, 31, 2525 (1985).
S. Bratos, M. Diraison, G. Tarjus, and J-Cl. Leicknam. Incoherent inelastic neutron scattering from liquid water. A theoretical investigation. To appear in Phys. Rev. A 45 (1992).
S. H. Chen, K. Toukan, C.K. Loong, D.L. Price, and J. Teixeira. Hydrogen-bond spectroscopy of water by neutron scattering. Phys. Rev. Lett., 53, 1360 (1984).
S.-H. Chen and J. Teixeira. Structure and dynamics of low-temperature water as studied by scattering techniques. Adv. Chem. Phys., 64, 1 (1986).
K. Toukan, M.A. Ricci, S.H. Chen, C.K. Loong, D.L. Price,and J. Teixeira. Neutron-scattering measurements of wave-vector-dependent hydrogen density of states in liquid water. Phys. Rev. A, 37 , 2580 (1988).
W. Magnus. On the exponential solution of differential equations for a linear operator. Commun. Pure and Appl. Math., 7, 649 (1954).
R. Kubo. Generalized cumulant expansion method. J. Phys. Soc. Japan., 17, 1100 (1962).
S. Lovesey. Theory of Neutron Scattering from Condensed Matter. Oxford Science, Oxford (1986).
T.J. Krieger and M.S. Nelkin. Slow-neutron scattering by molecules. Phys. Rev., 106, 290 (1957).
S. Bratos, G. Tarjus, M. Diraison, and J-Cl. Leicknam. Incoherent inelastic neutron scattering from liquid water: a theoretical study. Phys. Rev. A, 44 , 2745 (1991).
O.K. Harling. Slow neutron inelastic scattering study of light water and ice. J. Chem. Phys., 50, 5279 (1969).
D. Eisenberg and W. Kauzmann. The Structure and Properties of Water. Clarendon, Oxford (1969).
G.E. Walrafen. In Water. A Comprehensive Treatise. edited by F. Franks, Plenum, New York, 1972, p.151.
J.R. Scherer, M.K. Go, and S. Kint. Raman spectra and structure of water from -10 to 90°. J. Phys. Chem., 78, 1304 (1974).
M.A. Ricci and S.H. Chen. Chemical-bond spectroscopy with neutrons. Phys. Rev. A, 34 , 1714 (1986).
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© 1992 Springer Science+Business Media Dordrecht
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Diraison, M., Tarjus, G., Bratos, S., Leicknam, JC. (1992). Incoherent Inelastic Neutron Scattering from Molecular Liquids. Study of Semiclassical Corrections. In: Teixeira-Dias, J.J.C. (eds) Molecular Liquids: New Perspectives in Physics and Chemistry. NATO ASI Series, vol 379. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2832-2_21
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DOI: https://doi.org/10.1007/978-94-011-2832-2_21
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