{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,17]],"date-time":"2026-06-17T23:15:45Z","timestamp":1781738145686,"version":"3.54.5"},"reference-count":65,"publisher":"AIP Publishing","issue":"7","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2006,8,21]]},"abstract":"<jats:p>The fifth-order two-dimensional (2D) Raman signals have been calculated from the equilibrium and nonequilibrium (finite field) molecular dynamics simulations. The equilibrium method evaluates response functions with equilibrium trajectories, while the nonequilibrium method calculates a molecular polarizability from nonequilibrium trajectories for different pulse configurations and sequences. In this paper, we introduce an efficient algorithm which hybridizes the existing two methods to avoid the time-consuming calculations of the stability matrices which are inherent in the equilibrium method. Using nonequilibrium trajectories for a single laser excitation, we are able to dramatically simplify the sampling process. With this approach, the 2D Raman signals for liquid xenon, carbon disulfide, water, acetonitrile, and formamide are calculated and discussed. Intensities of 2D Raman signals are also estimated and the peak strength of formamide is found to be only five times smaller than that of carbon disulfide.<\/jats:p>","DOI":"10.1063\/1.2217947","type":"journal-article","created":{"date-parts":[[2006,8,22]],"date-time":"2006-08-22T22:12:03Z","timestamp":1156284723000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":65,"title":["Calculating fifth-order Raman signals for various molecular liquids by equilibrium and nonequilibrium hybrid molecular dynamics simulation algorithms"],"prefix":"10.1063","volume":"125","author":[{"given":"Taisuke","family":"Hasegawa","sequence":"first","affiliation":[{"name":"Kyoto University Department of Chemistry, Graduate School of Science, , Sakyo, Kyoto 606-8502, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yoshitaka","family":"Tanimura","sequence":"additional","affiliation":[{"name":"Kyoto University Department of Chemistry, Graduate School of Science, , Sakyo, Kyoto 606-8502, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2006,8,21]]},"reference":[{"key":"2023073103005921600_c1","volume-title":"Principles of Nonlinear Optical Spectroscopy","year":"1995"},{"key":"2023073103005921600_c2","doi-asserted-by":"publisher","first-page":"9496","DOI":"10.1063\/1.465484","volume":"99","year":"1993","journal-title":"J. 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