Self-diffusion

Self-diffusion describes the diffusive motions of molecules within themselves e.g. the movement of a water molecule in water. According to the IUPAC definition, the self-diffusion coefficient $D_{i}^{*}$ of medium $i$ is the diffusion coefficient $D_{i}$ of a chemical species in said medium when the concentration of this species is extrapolated to zero concentration. It can be described by the equation:

$$D_{i}^{*}=D_{i}{\frac {\partial \ln c_{i}}{\partial \ln a_{i}}}$$

Here, $a_{i}$ is the activity of the medium $i$ (e.g. water) in the system (e.g. solution) and $c_{i}$ is the concentration of medium $i$. Due to challenges observing it directly it is commonly assumed to be equal to the diffusion of an isotopically different molecule of the medium in the medium of interest e.g. a molecule of deuterated water in water. However modern simulations are able to estimate it directly without the need for isotope labeling.

See also

• Brownian motion
• Diffusion
• Molecular diffusion