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85015737516
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note
-
→) = 0]. This leads to Eq. (6).
-
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40
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85015715965
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-
note
-
E is convex. Even then, multiple impulses are still possible because the potential U(R) affects intramolecular motion after the first impulse, which may happen to lead to a configuration where the hard potential (5) works again. However, this is improbable if the incident atom A is much lighter than the constituent atoms B and C of the molecule.
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41
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85015746498
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note
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In fact, Eq. (23) is shown to be equivalent to a function "B" introduced in Ref. [11], with which Beck [7,11] derived the hard shell model by considering the force normal to the surface.
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42
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85015737690
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note
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2-1/4.
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43
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85015715781
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note
-
In usual terminology, "rotational rainbow" only refers to a divergence at the maximum of q, but not at q = 0. The latter divergence is absorbed in the Jacobian dj/dεα1/√ε, between the energy-loss ε and the angular momentum j in the hard shell model, so that the j distribution dσ/(dj dΩ) is finite at j = 0.
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45
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0037847655
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R.A. La Budde and R.B. Bernstein, J. Chem. Phys. 55, 5499 (1971); H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, MA, 1950), Chap. 2.
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Addison-Wesley, Reading, MA, Chap. 2
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Goldstein, H.1
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