The objective of this thesis is to present a method of calculating the g-factors of ternary crystals of III-V group elements.

There is an increasing interest in knowing the magnetic behavior of different semiconductor materials, due to advances in the domain of spintronics. The g-factors were calculated for the conduction electrons, since they have the greatest contribution to the magnetic properties of the crystal. The thesis presented here proposes a method to calculate the magnetic g-factor of whole families of crystals made of three elements, of the form A_1-xB_xC, for eleven values, x E {0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,1} , that were considered sufficient for giving an accurate behavior of the magnetic properties of the conduction electrons.
The notion of g-factor is presented and then methods are shown that permit the calculation of the g-factor in cubic crystals. The algorithm is then applied to binary crystals and the results of calculations are compared to the scarce measurement data found in literature.

Finally, relying on a series of papers that approximate the lattice parameters for ternary III-V crystals (cubic determination), the g-factor is calculated for the families of A_1-xB_xC for the x values mentioned above, and recommendations are given for an eventual enhancement of the precision.

The method presented here is but a first approximation, that is considered good enough for applications in the spintronics of the cubic crystals.