{"year":"2014","_id":"9662","quality_controlled":"1","doi":"10.1063/1.4904293","date_updated":"2021-08-09T12:32:24Z","external_id":{"arxiv":["1412.1308"],"pmid":["25554138"]},"author":[{"full_name":"Cheng, Bingqing","first_name":"Bingqing","last_name":"Cheng","orcid":"0000-0002-3584-9632","id":"cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9"},{"full_name":"Ceriotti, Michele","last_name":"Ceriotti","first_name":"Michele"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","status":"public","publication_status":"published","month":"12","publication":"The Journal of Chemical Physics","citation":{"short":"B. Cheng, M. Ceriotti, The Journal of Chemical Physics 141 (2014).","ieee":"B. Cheng and M. Ceriotti, “Direct path integral estimators for isotope fractionation ratios,” <i>The Journal of Chemical Physics</i>, vol. 141, no. 24. AIP Publishing, 2014.","chicago":"Cheng, Bingqing, and Michele Ceriotti. “Direct Path Integral Estimators for Isotope Fractionation Ratios.” <i>The Journal of Chemical Physics</i>. AIP Publishing, 2014. <a href=\"https://doi.org/10.1063/1.4904293\">https://doi.org/10.1063/1.4904293</a>.","ama":"Cheng B, Ceriotti M. Direct path integral estimators for isotope fractionation ratios. <i>The Journal of Chemical Physics</i>. 2014;141(24). doi:<a href=\"https://doi.org/10.1063/1.4904293\">10.1063/1.4904293</a>","apa":"Cheng, B., &#38; Ceriotti, M. (2014). Direct path integral estimators for isotope fractionation ratios. <i>The Journal of Chemical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/1.4904293\">https://doi.org/10.1063/1.4904293</a>","mla":"Cheng, Bingqing, and Michele Ceriotti. “Direct Path Integral Estimators for Isotope Fractionation Ratios.” <i>The Journal of Chemical Physics</i>, vol. 141, no. 24, 244112, AIP Publishing, 2014, doi:<a href=\"https://doi.org/10.1063/1.4904293\">10.1063/1.4904293</a>.","ista":"Cheng B, Ceriotti M. 2014. Direct path integral estimators for isotope fractionation ratios. The Journal of Chemical Physics. 141(24), 244112."},"extern":"1","volume":141,"main_file_link":[{"url":"https://arxiv.org/abs/1412.1308","open_access":"1"}],"scopus_import":"1","day":"28","issue":"24","intvolume":"       141","date_created":"2021-07-15T09:22:49Z","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0021-9606"],"eissn":["1089-7690"]},"article_processing_charge":"No","title":"Direct path integral estimators for isotope fractionation ratios","oa_version":"Preprint","date_published":"2014-12-28T00:00:00Z","oa":1,"pmid":1,"abstract":[{"text":"Fractionation of isotopes among distinct molecules or phases is a quantum effect which is often exploited to obtain insights on reaction mechanisms, biochemical, geochemical, and atmospheric phenomena. Accurate evaluation of isotope ratios in atomistic simulations is challenging, because one needs to perform a thermodynamic integration with respect to the isotope mass, along with time-consuming path integral calculations. By re-formulating the problem as a particle exchange in the ring polymer partition function, we derive new estimators giving direct access to the differential partitioning of isotopes, which can simplify the calculations by avoiding thermodynamic integration. We demonstrate the efficiency of these estimators by applying them to investigate the isotope fractionation ratios in the gas-phase Zundel cation, and in a few simple hydrocarbons.","lang":"eng"}],"type":"journal_article","article_type":"original","publisher":"AIP Publishing","article_number":"244112"}