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Nearly all theoretical frameworks have employed Raman cross sections (\u03c3Raman) to characterize and quantify molecular Raman response. The recently introduced absolute stimulated Raman scattering cross section (\u03c3SRS), on the other hand, provides an alternative way of interpreting molecular responses under two coherent laser sources. However, the theoretical connection between \u03c3Raman and \u03c3SRS remains unclear. Herein, we are inspired by Einstein\u2019s A and B coefficients for spontaneous and stimulated emissions and derived an analogous equation [Eq. (16)] for Raman scattering from an approach along quantum electrodynamics. Equation (16) decomposes Raman cross sections into a contribution from the vacuum electromagnetic field and an underlying molecular response captured by stimulated Raman cross sections (in the unit of G\u00f6ppert\u2013Mayer). This theoretical relation is supported by recent experimental measurements on methanol as a model compound. Foremost, it provides a connection between experimentally defined \u03c3Raman and \u03c3SRS under certain approximations. In addition, it quantitatively shows that it is the weak vacuum field of the Stokes channel that makes Raman cross sections appear so small, corroborating the conventional Raman theory. Moreover, it suggests stimulated Raman cross sections to be a vacuum-decoupled intrinsic quantity for characterizing molecular response during Raman scattering. Remarkably, stimulated Raman cross sections turn out to be not weak when compared to two-photon absorption, narrowing the conventional gap of cross sections between spontaneous Raman and UV\u2013vis absorption by more than 1010 folds.<\/jats:p>","DOI":"10.1063\/5.0171382","type":"journal-article","created":{"date-parts":[[2023,11,15]],"date-time":"2023-11-15T11:07:21Z","timestamp":1700046441000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":19,"title":["Raman scattering and vacuum fluctuation: An Einstein-coefficient-like equation for Raman cross sections"],"prefix":"10.1063","volume":"159","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2570-3557","authenticated-orcid":false,"given":"Wei","family":"Min","sequence":"first","affiliation":[{"name":"Department of Chemistry, Columbia University , New York, New York 10027, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0911-3656","authenticated-orcid":false,"given":"Xin","family":"Gao","sequence":"additional","affiliation":[{"name":"Department of Chemistry, Columbia University , New York, New York 10027, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2023,11,15]]},"reference":[{"key":"2023111511064099300_c1","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1038\/121501c0","article-title":"A new type of secondary radiation","volume":"121","year":"1928","journal-title":"Nature"},{"key":"2023111511064099300_c2","doi-asserted-by":"publisher","first-page":"873","DOI":"10.1007\/bf01576902","article-title":"On the quantum theory of dispersion","volume":"11","year":"1923","journal-title":"Naturwiss."},{"key":"2023111511064099300_c3","volume-title":"Der Smekal\u2013Raman-Effekt","year":"1931"},{"key":"2023111511064099300_c4","first-page":"41","article-title":"C.V. 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