A. Burghardt, Properties of matrices of multicomponent diffusion coefficients derived form irreversible thermodynamics, INZ CHEM PR, 22(2), 2001, pp. 193-217
The matrix of multicomponent diffusion coefficients plays a fundamental rol
e in the method of determining mass transfer coefficients in multicomponent
systems. This matrix however has to fulfill strictly defined conditions in
order to be applied in the method mentioned above; their eigenvalues must
be real and positive. Basing on the principles of irreversible thermodynami
cs as well as using the generalised form of Maxwell-Stefan equations, relat
ionships have been developed and classified between the multicomponent and
binary diffusion coefficients. By theorems of matrix calculus it was proved
that strictly defined forms of the matrix of multicomponent diffusion coef
ficients fulfill the conditions specified above, i.e. they posses real and
positive eigenvalues.