A method for the optimization of a phase diagram on the basis of results fr
om directional solidification experiments is proposed. The experimental mic
rostructure selection map is compared with a calculated map and the input p
arameters are varied until a satisfactory agreement is obtained. The calcul
ation of the microstructure selection map is based on the maximum temperatu
re criterion and on analytical models for the growth of plane front, dendri
tic, and eutectic structures. This method is applied to the Ni-Al system wh
ere the phase equilibria close to the melting point of the gamma'-Ni3Al pha
se have been subject to discussion for over 50 years. A new version of this
part of the phase diagram is proposed, which is coherent with the results
from directional solidification experiments.