We obtain for the first time the phonon-dispersion relations of ''infi
nite-layered'' compounds by means of a shell model. We start from pote
ntial parameters and polarizabilities available from fits of phonon da
ta in several high-T-c cuprates. With modification of only a few param
eters we achieve a good fit of the infrared phonon data available for
the narrow-band semiconductor Ca0.86Sr0.14CuO2. A virtual crystal appr
oximation is made for the (Ca0.86Sr0.14) ion. Comparing the parameters
to those of other cuprates, we observe a higher covalence degree of t
he Cu-O bond in this material. By substituting the Ca related paramete
rs by Nd ones we also study the changes in the phonon density of state
s compared to that of the superconductor Sr0.86Nd0.14CuO2 (T-c similar
or equal to 40 K). We find a strong tendency to instability of an aco
ustic phonon branch around the zone boundary R point, which may be rel
ated to the Sr concentration dependent tetragonal-orthorhombic phase t
ransition in Ca1-xSrxCuO2.