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85033308232
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note
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(j) is a function of the coordinate x.
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39
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0001668590
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85033304292
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85033323936
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note
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The implication of the orientational average is that mode x has numerous replicas that cover statistically all possible orientations. When we refer to a rotational invariant of mode x, we are actually referring to this mode taken together with all of its replicas.
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54
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85033288319
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note
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3(a)-1/2PP(a,a)Tr(a)+1/3TP(a,a,a).
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56
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22244485907
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That the coupling between intermolecular and intramolecular vibrational modes is significant is evident from the appreciable pure dephasing of molecular vibrations in liquids; see A. Tokmakoff, D. Zimdars, R. S. Urdahl, R. S. Francis, A. S. Kwok, and M. D. Fayer, J. Phys. Chem. 99, 13 310 (1995).
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57
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85033295582
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note
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In a sense, this is a more specific restatmentent of the Placzek approximation.
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59
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0000529490
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63
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85033321354
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note
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Note all translational CI modes will involve motions of only one atom, but the behavior described here is the dominant translational contribution.
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68
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85033317498
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note
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(2)).
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