Within the McClure model a dispersion equation for the energy spectrum
of the Bi-Bi1-xSbx superlattices in the envelope function approximati
on is derived. The effective mass of minibands, the Fermi energy and t
he concentration of free carriers in a superlattice with X = 0.1 and t
he period d = 10 nm are determined. The dependence of the miniband ene
rgy upon the ratio r = d(I)/d(II) is obtained (d(I) is the thickness o
f the Bi layers and d(II) is the thickness of the alloy layers). It is
shown that there is a transition from the semiconducting state (r < 0
.31) to the semimetallic state (r > 0.31) in the superlattice with X =
0.1 and d = 10 nm due to an energy overlap between the minibands at t
he L and T points of the Brillouin zone. For d(I) = 4 nm and d(II) = 6
nm the Fermi surface of electrons is closed whereas the Fermi surface
of holes is open in the direction of the superlattice wavevector q. I
n the superlattice with X = 0.12 and d(I) = d(II) = 60 nm the transver
se components of the effective-mass tensor change signs at a certain v
alue of q = q0. As a result, at q > q0 the dependence of the miniband
energy on the wavevector k in the plane of layers has a shape like a '
camel's back'.