By Walsh J.W.T.
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Y', Z' functions are chosen for these new coordinates. For this assumption kz = k, and kx = k y = 0. 60) All the elements involving the transverse component of k are zero. In effect. only the conduction band minimum and the valence band corresponding to J = 3/2. Jz = 1/2 are coupled. The above Hamiltonian gives the following dispersion relation. 62) We get accordingly. 63) Eg = Ec0 – Ev0 or the band gap. 64) where α = 1/Eg . The parameter a is referred as the nonparabolicity parameter as for α ≠ 0, the E – k relation is nonparabolic.
52As are examples of ternaries which are latticematched to InP. The band gap of the ternary cannot be chosen in this case. The lattice constant and the band gap may, however, be chosen independently by combining four elements to realize quaternaries. 1) Heterostructures with good crystalline quality may also be grown with nonlattice-matched compounds, but only for limited dimensions. The lattice-mismatch causes strains which are accommodated up to a thickness of about 4 nm. Larger 22 BAND OFFSET 23 thickness results in the appearance of stacking faults due to the strain.
52 As systems. 25,26]. Results of the analysis are given in Table. 1 along with those for the parabolic band. The nonparabolicity causes significant changes in the values of the energy levels. The change is maximum near about the well width of 2 nm and may be as large as 17%. Although such changes may not be important in the design of electron devices, these have to be taken into account in the design of optoelectronic devices in which the signal frequency resonates with differences in energy levels.