Molecular Physical Chemistry by José J. C. Teixeira-Dias
Author:José J. C. Teixeira-Dias
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham
E43. Use Mathematica to show that the trace of the polarizability tensor and its anisotropy, whose square is given by γ 2 = [(α xx − α yy )2 + (α yy − α zz )2 + (α zz − α xx )2 + 6 ]/2, are invariants under an orthogonal transformation due to a rotation of x and y around z, by an angle θ.
E44. Find the ratio of intensities of a Stokes line over the corresponding anti-Stokes line.
E45. Use Mathematica to plot the function e−c|x| with interactive manipulation of the parameter c between 0.7 and 2.0, in steps of 0.1. Denote c by ζ and present the function for ζ = 1.5.
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