Ti-14Al-21Nb alloy may find a potential application in advanced structures. On the other hand, incompatible atomic configurations at the grain boundaries render the grain boundary regions weak, which, in turn, provides possible crack development and propagation along these boundaries, i.e. due to room temperature slip behaviour of intermetallic alloys, nucleation and propagation of cracks become the mode of deformation. Considerable research has been carried out to solve the poor ductility of intermetallic alloy knowing the fact that altering the crystal structure and reducing slip distance by creating a small grain size structure may be one way of solving the problem. Consequently, laser heating at pulses 1 mu s can provide a cooling rare of the order of 10(6) K/s, which, in turn, makes it possible to change the metallurgical structure of the alloy to a desired structure. In the present study, a theoretical model based on Fourier analysis is carried our to predict the cooling rate after the laser pulse irradiation. An experiment is carried out to measure rite cooling rate. The study is extended to include experimental investigation into metallurgical changes due to laser pulse.