{"title":"Thermal properties of diatomic molecules with multi parameter exponential-type potential","authors":"A. Ghanbari, Raziyeh Birooni","doi":"10.32908/hthp.v51.1247","DOIUrl":null,"url":null,"abstract":"In this work, we have calculated the thermal properties of H2 and O2 diatomic molecules with multi parameter exponential type potential within the framework of the statistical mechanics. In this regard, using the improved energy spectrum, we have determined the vibrational partition function obtained recently via the path integral formalism. Based on obtained partition function, we find thermodynamic properties of diatomic molecules such as Gibbs free energy, enthalpy and specific heat in constant pressure by the Poisson summation formalism. Also, we have validated our results with experimental data and our results show that there is a good agreement between them. Finally, the average absolute deviations of the calculated data from the experimental data are obtained.","PeriodicalId":12983,"journal":{"name":"High Temperatures-high Pressures","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"High Temperatures-high Pressures","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.32908/hthp.v51.1247","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we have calculated the thermal properties of H2 and O2 diatomic molecules with multi parameter exponential type potential within the framework of the statistical mechanics. In this regard, using the improved energy spectrum, we have determined the vibrational partition function obtained recently via the path integral formalism. Based on obtained partition function, we find thermodynamic properties of diatomic molecules such as Gibbs free energy, enthalpy and specific heat in constant pressure by the Poisson summation formalism. Also, we have validated our results with experimental data and our results show that there is a good agreement between them. Finally, the average absolute deviations of the calculated data from the experimental data are obtained.
期刊介绍:
High Temperatures – High Pressures (HTHP) is an international journal publishing original peer-reviewed papers devoted to experimental and theoretical studies on thermophysical properties of matter, as well as experimental and modelling solutions for applications where control of thermophysical properties is critical, e.g. additive manufacturing. These studies deal with thermodynamic, thermal, and mechanical behaviour of materials, including transport and radiative properties. The journal provides a platform for disseminating knowledge of thermophysical properties, their measurement, their applications, equipment and techniques. HTHP covers the thermophysical properties of gases, liquids, and solids at all temperatures and under all physical conditions, with special emphasis on matter and applications under extreme conditions, e.g. high temperatures and high pressures. Additionally, HTHP publishes authoritative reviews of advances in thermophysics research, critical compilations of existing data, new technology, and industrial applications, plus book reviews.