laws of distribution

in precipitation
Also contains definition of: logarithmic distribution coefficient in precipitation
https://doi.org/10.1351/goldbook.L03487
During the formation of a mixed crystal from a solution containing two components 'A' and 'B', the latter may be distributed according to the equation \[K_{\text{A},\text{B}}=\frac{b\ (a_{0}- a)}{a\ (b_{0}- b)}\] In this homogeneous distribution, \(a_{0}\) and \(b_{0}\) are the respective concentrations in the solution before @C01434@ and \(a\) and \(b\) are the respective concentrations in the solution after @C01434@. \(K_{\text{A},\text{B}}\) is usually called the separation factor. The term homogeneous @D01812@ is not recommended. Alternatively the distribution of the @M03894@-component may follow the equation of Doerner and Hoskins \[\ln (\frac{a_{0}}{a}) = \lambda \ \ln (\frac{b_{0}}{b})\] (logarithmic distribution) where \(\lambda \) is usually called the logarithmic @D01812@, the meaning of the other symbols remaining the same. Exactly homogeneous or logarithmic distributions are extreme cases and very seldom encountered.
Source:
Orange Book, 2nd ed., p. 85 [Terms]