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5. Discussion. Let discuss on the physical meanings of these terms. The resonant parts of the Quadrupolar hyperpolarizabilities. From ref 41. By substitute above equations into (87a) and (87c), we obtain. Eq. (67) will give. 5.2 Kleinman Symmetry.
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5. Discussion Let discuss on the physical meanings of these terms.
The resonant parts of the Quadrupolar hyperpolarizabilities From ref 41
By substitute above equations into (87a) and (87c), we obtain Eq. (67) will give
5.2 Kleinman Symmetry We focus on the static limit of the susceptibilities to account for the Kleinman symmetry. Previous research41: The static limit of the susceptibilities is also relevant to the electronically nonresonant SHG signals and the nonresonant background of SFG signals. 5.2.1 Static Limit: The Kleinman symmetry is satisfied in the static limit for the second-order susceptibility at the interface: The analogous relations can be expanded to the other quadrupolar susceptibilities, Substitute eq.(92) into eq.(48), we obtain above equation
5.2.2 Nonresonant Measurement: In the nonresonant background of the SFG or SHG spectroscopy measured in the reflected direction, the static limit of the second-order susceptibilities is quite simplified. Substitute (90-93) in (24 , 38, 39, 56, 61, 62, 64 , 65)
6. Conclusion Thanks for your attention!
