{"title":"A review on the radial distribution function: Insights into molecular structure, intermolecular interactions, and thermodynamic properties","authors":"Elaheh K. Goharshadi","doi":"10.1016/j.molliq.2025.127900","DOIUrl":null,"url":null,"abstract":"<div><div>The radial distribution function (RDF), a fundamental statistical mechanic’s concept, characterizes the spatial arrangement of particles in a system. It describes the probability of finding a particle at a specific distance from a reference particle, providing important insights into the structure of liquids, ordered crystals, and disordered materials. RDFs are key tools for understanding molecular arrangements and are particularly valuable in studying the nature of fluids and fluid mixtures. This article reviews the RDF, focusing on its mathematical formulation, key features, and methods of determination, including X-ray and neutron scattering, integral equations, and molecular dynamics simulations. The relationship between RDFs and thermodynamic properties, including internal energy, chemical potential, and surface tension was elucidated. Also, RDFs contribute a key role in understanding intermolecular forces and hydrogen-bonded systems.</div></div>","PeriodicalId":371,"journal":{"name":"Journal of Molecular Liquids","volume":"433 ","pages":"Article 127900"},"PeriodicalIF":5.2000,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Molecular Liquids","FirstCategoryId":"92","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167732225010773","RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The radial distribution function (RDF), a fundamental statistical mechanic’s concept, characterizes the spatial arrangement of particles in a system. It describes the probability of finding a particle at a specific distance from a reference particle, providing important insights into the structure of liquids, ordered crystals, and disordered materials. RDFs are key tools for understanding molecular arrangements and are particularly valuable in studying the nature of fluids and fluid mixtures. This article reviews the RDF, focusing on its mathematical formulation, key features, and methods of determination, including X-ray and neutron scattering, integral equations, and molecular dynamics simulations. The relationship between RDFs and thermodynamic properties, including internal energy, chemical potential, and surface tension was elucidated. Also, RDFs contribute a key role in understanding intermolecular forces and hydrogen-bonded systems.
期刊介绍:
The journal includes papers in the following areas:
– Simple organic liquids and mixtures
– Ionic liquids
– Surfactant solutions (including micelles and vesicles) and liquid interfaces
– Colloidal solutions and nanoparticles
– Thermotropic and lyotropic liquid crystals
– Ferrofluids
– Water, aqueous solutions and other hydrogen-bonded liquids
– Lubricants, polymer solutions and melts
– Molten metals and salts
– Phase transitions and critical phenomena in liquids and confined fluids
– Self assembly in complex liquids.– Biomolecules in solution
The emphasis is on the molecular (or microscopic) understanding of particular liquids or liquid systems, especially concerning structure, dynamics and intermolecular forces. The experimental techniques used may include:
– Conventional spectroscopy (mid-IR and far-IR, Raman, NMR, etc.)
– Non-linear optics and time resolved spectroscopy (psec, fsec, asec, ISRS, etc.)
– Light scattering (Rayleigh, Brillouin, PCS, etc.)
– Dielectric relaxation
– X-ray and neutron scattering and diffraction.
Experimental studies, computer simulations (MD or MC) and analytical theory will be considered for publication; papers just reporting experimental results that do not contribute to the understanding of the fundamentals of molecular and ionic liquids will not be accepted. Only papers of a non-routine nature and advancing the field will be considered for publication.