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The expression for the surface‐enhanced hyper Raman scattering (SEHRS) cross‐section of symmetrical molecules within the framework of the dipole–quadrupole theory is presented. It is formed by contributions that depend on various dipole and quadrupole moments. The enhancement coefficients for the quadrupole enhancement mechanism in some limited cases can reach a value 10 30 . It is demonstrated that the contributions follow some selection rules. Qualitative classification of the contributions based on the enhancement degree is given. It is demonstrated that the SEHR spectra of pyrazine and pyridine can be explained by the presented theory. Copyright © 2011 John Wiley & Sons, Ltd.

Cross‐section and selection rules in surface‐enhanced hyper Raman scattering