We have studied the c-polarized optical phonons of high quality single crystals of La 2Ϫx Sr x CuO 4 with doping concentrations ranging from the underdoped to the overdoped regime (xϭ0.1,0.12,0.15,0.18,0.2) at temperatures between 10 and 300 K. We discuss the dependence of all observed phonon modes on temperature as well as on doping. We find no indication for a coupling of the zone-center phonons to the electronic continuum, either in the normal or in the superconducting state. ͓S0163-1829͑97͒08734-1͔