A process for producing a monocrystal of a quaternary semiconductor with the formula Cd.sub.x Hg.sub.0.5-x Te.sub.y Se.sub.0.5-y, wherein X and Y are numbers between 0 and 0.5, having a composition S in cadmium, mercury, tellurium and selenium by recrystallizing a feed polycrystal of said formula at a temperature T.sub.1 no more than 650.degree. C., from a quaternary liquid zone in thermodynamic equilibrium with said polycrystal, said process comprising the steps of:
- (i) providing said polycrystal;
- (ii) selecting temperature T.sub.1 at which said recrystallization will occur;
- (iii) plotting said composition S on a phase diagram of the HgCdTe system plotted for the pseudobinary axes HgTe and CdTe, said phase diagram containing a plurality of isotherms including the isotherm for T.sub.1, and an isochrome curve (BB') representing the different compositions of the solvent zones in thermodynamic equilibrium with said polycrystal;
- (iv) constructing a line from S through the intercept of the isotherm for T.sub.1 and said curve (BB'), said line intercepting the HgTe axis of said phase diagram;
- (v) establishing an initial binary solvent having the composition of Hg and Te determined by the intercept of step (iv);
- (vi) heating said initial binary solvent to said temperature T.sub.1 ;
- (vii) dissolving said polycrystal in said heated initial binary solvent until said quaternary liquid zone is obtained;
- and
- (viii) displacing said quaternary liquid zone at T.sub.1 along said polycrystal in order to transform said polycrystal into said monocrystal.