  We present grazing incidence reflectivity measurements in the far infrared
region at temperatures above and below Tc for a series of thallium (Tl2Ba2CuO6,
Tl2Ba2CaCu2O8) and bismuth (Bi2Sr2CuO6, Bi2Sr2CaCu2O8, and
Bi(2-x)Pb(x)Sr2CaCu2O8) based cuprate superconductors. From the spectra, which
are dominated by the c-axis phonons, longitudinal frequencies (LO) are directly
obtained. The reflectivity curves are well fitted by a series of Lorentz
oscillators. In this way the transverse (TO) phonon frequencies were accurately
determined. On the basis of the comparative study of the Bi and Tl based
cuprates with different number of CuO2 layers per unit cell, we suggest
modifications of the assignment of the main oxygen modes. We compare the LO
frequencies in Bi2Sr2CaCu2O8 and Tl2Ba2Ca2Cu3O10 obtained from intrinsic
Josephson junction characteristics with our measurements, and explain the
discrepancy in LO frequencies obtained by the two different methods.
