A velocity formulation of pure and mixed first hyperpolarizabilities for HRS-OA is derived using velocity operators in quadratic response functions, yielding origin-independent results with one-to-one correspondence to gauge-origin shifts in the length formulation.
Rizzo , author B
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2026 1verdicts
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Velocity Formulations for Hyper-Rayleigh Scattering Optical Activity Spectroscopy: Addressing the Origin-dependence Problem
A velocity formulation of pure and mixed first hyperpolarizabilities for HRS-OA is derived using velocity operators in quadratic response functions, yielding origin-independent results with one-to-one correspondence to gauge-origin shifts in the length formulation.