According to IUPAC definition,self-diffusion coefficient is the diffusion coefficient Di∗{\displaystyle D_{i}^{*}} of species i{\displaystyle i} when the chemical potential gradient equals zero. It is linked to the diffusion coefficient Di{\displaystyle D_{i}} by the equation:
Di∗=Di∂lnci∂lnai.{\displaystyle D_{i}^{*}=D_{i}{\frac {\partial \ln c_{i}}{\partial \ln a_{i}}}.}