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单词 pair distribution function
释义
pair distribution function

Physics
  • The probability of finding a second particle as a function of distance from an initial particle; this probability is found from a statistical average over the system concerned (for example a liquid). A trivial case of the pair distribution function, denoted g(x), is an ideal gas consisting of point particles; in this case the function is independent of position, with g(x)=1. The pair distribution function relates structure, interparticle interactions, and scattering experiments. Simplifications in the calculation of the pair distribution function arise when the system is homogeneous and translationally invariant. The function features strongly in the theory of liquids.


Chemistry
  • A function that gives the probability of finding the centre of a particle at a distance r from the centre of another particle. This function is used extensively in the theory of liquids and disordered solids. In the case of hard spheres, the function is zero until twice the radius of the sphere, then has a maximum value at this point. After this it consists of peaks and troughs that get smaller with increasing r.


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