translational diffusion coefficient

in polymer science
symbol: $D$; units: $\pu{m2 s-1}$, $\pu{\upmu m2 s-1}$
synonym: diffusion coefficient (in polymer science)
https://doi.org/10.1351/goldbook.12247
Proportionality constant relating the flux per unit area, \(J_{n}\), in unidirectional flow of amount, \(n\), of entities \(\ce{B}\) to their concentration gradient in the direction (\(x\)) of flow, \({\rm{d}}c_{\ce{B}}/{\rm{d}}x\), i.e., \(J_{n} = -D{\rm{d}} c_{\ce{B}}/{\rm{d}}x\).
Note: More generally, \(D\) is defined using vectorial flow as the proportionality constant, relating the flux per unit area, \(\boldsymbol{J_{n}}\) , of amount, \(n\), of entities \(\ce{B}\) to their concentration gradient, \(\boldsymbol{\nabla} c_{\ce{B}}\), i.e., \(J_{n} = -D \boldsymbol{\nabla} c_{\ce{B}}\). However, the more general definition is not needed in polymer science as experimental determinations of the translational diffusion coefficient all employ unidirectional flow.
Source:
PAC, 2015, 87, 71. (Definitions of terms relating to individual macromolecules, macromolecular assemblies, polymer solutions, and amorphous bulk polymers (IUPAC Recommendations 2014)) on page 98 [Terms] [Paper]