A linearly polarized, monochromatic plane wave scatters from a polar molecule by exerting a torque that sets

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A linearly polarized, monochromatic plane wave scatters from a polar molecule by exerting a torque that sets the molecule into motion. Treat the molecule as an electric dipole with moment p and moment of inertia I . Ignore terms quadratic in the (very slow) angular velocity of the molecule and average over all orientations of p to show that the total scattering cross section is σscatt = μ2p4/9πI2. A rotating dipole moment satisfies ˙p = Ω × p.

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