  In this work we present the electronic band structure for (001)--CdTe
interfaces with some other II--VI zinc blende semiconductors. We assume ideal
interfaces. We use tight binding Hamiltonians with an orthogonal basis ($s p^3
s^*$). We make use of the well--known Surface Green's Function Matching method
to calculate the interface band structure. In our calculation the dominion of
the interface is constituted by four atomic layers. We consider here
anion--anion interfaces only. We have included the non common either anion or
cation (CdTe/ZnSe), common cation (CdTe/CdSe), and common anion (CdTe/ZnTe)
cases. We have aligned the top of the the valence band at the whole interface
dominion as the boundary condition. The overall conclusion is that the
interface is a very rich space where changes in the band structure with respect
to the bulk do occur. This is true not only at interfaces with no common atoms
but also at the ones with either common cation or anion atoms irrespective to
the fact that the common atomic layers are facing or not each other at the
interface. Finally, we found that the (001)--surface--induced bulks states
reappear at the interface in contrast to the pure (001)--surface resonances
which disappear. This confirm our previous interpretation of such states as
{\it bulk} states. Their behaviour is very interesting at the interface. We
have refine the terminology for these states to up--date it to the new results
and have call them {\it Frontier induced semi--infinite medium} (FISIM) states.
They might well appear also in quantum wells and superlattices and have
influence in the transport properties of these systems.
