A least-squares approximation method which used spline functions of arbitrary order, with variable knots, was applied to concentration data from multi-component diffusion and solid-state reaction experiments. The intention was to obtain smooth concentration profiles in spite of the statistical error that was inherent in such measurements. The use of the method was illustrated with respect to double reaction data from quasi-ternary systems. Particular attention was paid to the use of the method for obtaining reaction paths through isothermal cross-sections of the phase diagram.

P.A.Kokkonis, V.Leute: Computational Materials Science, 1996, 6[1], 103-11