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- Radial_distribution_function abstract "In statistical mechanics, the radial distribution function, (or pair correlation function) in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference particle.If a given particle is taken to be at the origin O, and if is the average number density of particles, then the local time-averaged density at a distance from O is . This simplified definition holds for a homogeneous and isotropic system. A more general case will be considered below.In simplest terms it is a measure of the probability of finding a particle at a distance of away from a given reference particle, relative to that for an ideal gas. The general algorithm involves determining how many particles are within a distance of r and r+dr away from a particle. This general theme is depicted to the right, where the red particle is our reference particle, and blue particles are those which are within the circular shell, dotted in orange.The RDF is usually determined by calculating the distance between all particle pairs and binning them into a histogram. The histogram is then normalized with respect to an ideal gas, where particle histograms are completely uncorrelated. For three dimensions, this normalization is the number density of the system multiplied by the volume of the spherical shell, which mathematically can be expressed as , where is the number density. Given a potential energy function, the radial distribution function can be computed either via computer simulation methods like the Monte Carlo method, or via the Ornstein-Zernike equation, using approximative closure relations like the Percus-Yevick approximation or the Hypernetted Chain Theory. It can also be determined experimentally, by radiation scattering techniques or by direct visualization for large enough (micrometer-sized) particles via traditional or confocal microscopy.The radial distribution function is of fundamental importance in thermodynamics because the macroscopic thermodynamic quantities can usually be determined from .".
- Radial_distribution_function thumbnail Rdf_schematic.jpg?width=300.
- Radial_distribution_function wikiPageExternalLink matdlwiki.
- Radial_distribution_function wikiPageExternalLink softmatter:Radial_Distribution_Function.
- Radial_distribution_function wikiPageID "4538599".
- Radial_distribution_function wikiPageRevisionID "588514857".
- Radial_distribution_function hasPhotoCollection Radial_distribution_function.
- Radial_distribution_function subject Category:Mechanics.
- Radial_distribution_function subject Category:Physical_chemistry.
- Radial_distribution_function subject Category:Statistical_mechanics.
- Radial_distribution_function comment "In statistical mechanics, the radial distribution function, (or pair correlation function) in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference particle.If a given particle is taken to be at the origin O, and if is the average number density of particles, then the local time-averaged density at a distance from O is . This simplified definition holds for a homogeneous and isotropic system.".
- Radial_distribution_function label "Funzione di distribuzione radiale".
- Radial_distribution_function label "Função distribuição radial".
- Radial_distribution_function label "Radial distribution function".
- Radial_distribution_function label "Radiale Verteilungsfunktion".
- Radial_distribution_function label "動径分布関数".
- Radial_distribution_function label "径向分布函数".
- Radial_distribution_function sameAs Radiale_Verteilungsfunktion.
- Radial_distribution_function sameAs Función_de_distribución_radial.
- Radial_distribution_function sameAs Funzione_di_distribuzione_radiale.
- Radial_distribution_function sameAs 動径分布関数.
- Radial_distribution_function sameAs Função_distribuição_radial.
- Radial_distribution_function sameAs m.0c7tf8.
- Radial_distribution_function sameAs Q651160.
- Radial_distribution_function sameAs Q651160.
- Radial_distribution_function wasDerivedFrom Radial_distribution_function?oldid=588514857.
- Radial_distribution_function depiction Rdf_schematic.jpg.
- Radial_distribution_function isPrimaryTopicOf Radial_distribution_function.
