ArticleThe journal of physical chemistry. A2026
Two-Level Theory of Second-Order Nonlinear X-ray Response beyond the Electric-Dipole Approximation.
Article in The journal of physical chemistry. A, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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Abstract
We develop a two-level theory of the second-order nonlinear X-ray response beyond the electric-dipole approximation, deriving the leading quadrupolar correction originating from interference with the dipolar pathway at the amplitude level. A compact scaling law links the correction to weighted linear-response oscillator strengths, allowing parameter-free estimates across different core edges within the limits of the two-level description. For difference frequency resonant with the core transition, within the two-level description adopted here, the frequency dependence of the observable beyond-dipole correction is set by the electric dipole-quadrupole pathway through field gradients and is controlled by the dimensionless factor (ω
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