We model the surface brightness profiles of a sample of 119 Abell brig
htest cluster galaxies (BCGs), finding a generalized de Vaucouleurs R(
1/n) law, where n is a free parameter, to be appropriate. Departures f
rom the R(1/4) law are shown to be a real feature of galaxy profiles a
nd not due to observational errors or coupling of n with the other mod
el parameters. BCGs typically have values of n greater than 4. The sha
pe parameter n is shown to correlate with effective half-light radius,
such that the larger BCGs have larger values of n. This continues a t
rend noticed amongst ordinary elliptical galaxies and dwarf elliptical
galaxies, such that the brighter galaxies have larger values of n.