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9
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0344755613
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note
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As is well-known, the spectrum can be computed from the dipole or the dipole velocity or the dipole acceleration. For exact wave functions these three formulations are strictly equivalent. Quantum chemists are familiar with the observation that for approximate electronic wave functions the three ways do not give identical results. Here we make the same observation for the nuclear motion. The spectrum that we compute from the dipole is qualitatively similar to that computed using the dipole velocity, with one essential difference. The spectrum computed from the dipole velocity will be an asymmetric function of frequency and as such will have a small but finite first moment. The spectrum computed from the dipole will be a symmetric function of the frequency and its first moment vanishes identically. See ref 8 for a further discussion.
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10
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0000305622
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Even, U.; Sheck, I.; Jortner, J. Chem. Phys. Lett. 1993, 202, 303.
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11
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0345185886
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Essentials of Surface Impact Chemistry
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Campargue, R., Ed.; Springer: Berlin
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Raz, T.; Levine, R. D. Essentials of Surface Impact Chemistry. In Atomic and Molecular Beams; Campargue, R., Ed.; Springer: Berlin, 2000.
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Raz, T.1
Levine, R.D.2
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13
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0000394521
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Yasumatsu, H.; Koizumi, S.; Terasaki, A.; Kondow, T. J. Chem. Phys. 1996, 105, 9509.
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15
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0000392336
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Christen, W.; Even, U.; Raz, T.; Levine, R. D. J. Chem. Phys. 1998, 108, 10262.
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Christen, W.1
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19
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4243429913
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Even, U.; deLange, P.; Jonkman, H.; Kommandeur, J. Phys. Rev. Lett. 1986, 56, 965.
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Witte, T.2
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24
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0011766188
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Caledonia, G. E.; Krech, R. H.; Wilkerson, T. D.; Taylor, R. L.; Birnbaum, G. Phys. Rev. A 1991, 43, 6010.
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Birnbaum, G.5
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0041991635
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Grigoriev, I. M.; Tonkov, M. V.; Frommhold, L. Phys. Rev. A 1998, 58, 4978.
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Frommhold, L.3
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30
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0042693908
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Harris, C. B., Ed.; Kluwer: Dordrecht, The Netherlands
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This is what dynamicists in the liquid phase will call an "encounter"; see, for example: Schwartz, B. J.; King, J. C. The Molecular Basis for Solvent Caging; Harris, C. B., Ed.; Kluwer: Dordrecht, The Netherlands, 1994.
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The Molecular Basis for Solvent Caging
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Schwartz, B.J.1
King, J.C.2
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31
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36449006394
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Raz, T.; Schek, I.; Ben-Nun, M.; Even, U.; Jortner, J.; Levine, R. D. J. Chem. Phys. 1994, 101, 8606.
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Jortner, J.5
Levine, R.D.6
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34
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0344755611
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note
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3.
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35
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0344755612
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note
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This is the from of the Planck equilibrium density of radiation when stimulated emission is neglected, as is the case for a sample small compared to the wavelength.
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36
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0003732080
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W. A. Benjamin, Inc.: Reading, MA
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Bethe, H. A.; Jackiw, R. W. Intermediate Quantum Mechanics, 2nd ed.; W. A. Benjamin, Inc.: Reading, MA, 1968.
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Intermediate Quantum Mechanics, 2nd Ed.
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Bethe, H.A.1
Jackiw, R.W.2
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38
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0344323424
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note
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The surface is coated by a thin metal layer so as to conduct away any charges that may accumulate on it.
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39
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0345618018
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note
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We are indebted to Prof. A. H. Zewail for this observation.
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