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We have analyzed archival HST F606W images of 18 dwarf elliptical (dE) galaxycandidates in the Coma Cluster. We model the full radial extent of theirlight-profiles by simultaneously fitting a PSF-convolved Sersic R^(1/n) modeland, when necessary, either a central point-source or a central PSF-convolvedGaussian. The luminosities of the central component L_nuc scale with the hostgalaxy luminosity L_gal such that L_nuc = 10^(4.76 +/- 0.10)*(L_gal/10^7)^(0.87+/- 0.26). The underlying host galaxies display systematic departures from anexponential model that are correlated with the model-independent host galaxyluminosity and are not due to biasing from the nuclear component. The Pearsoncorrelation coefficient between log(n) and central galaxy surface brightnessmu_0 (excluding the flux from extraneous central components) is -0.83 at asignificance level of 99.99%. The Pearson correlation coefficient between thelogarithm of the Sersic index `n' and the host galaxy magnitude is -0.77 at asignificance of 99.9%. We explain the observed relationship between dE galaxyluminosity and inner logarithmic profile slope (gamma-prime) as a by-product ofthe correlation between luminosity and Sersic index n. Including, from theliterature, an additional 232 dE and E galaxies spanning 10 mag in absolutemagnitude (M), the dE galaxies are shown to display a continuous sequence withthe brighter E galaxies such that mu_0 brightens linearly with M until coreformation causes the most luminous (M_B < -20.5 mag) E galaxies to deviate fromthis relation. The different behavior of dE and E galaxies in the M-mu_e (andM-<mu>_e) diagram, and the <mu>_e-log(R_e) diagram have nothing to do with coreformation, and are in fact expected from the continuous and linear relationbetween M and mu_0 and M and log(n).Comment: To appear in AJ. 22 page

the astronomical journal

<i>HST</i>Photometry of Dwarf Elliptical Galaxies in Coma, and an Explanation for the Alleged Structural Dichotomy between Dwarf and Bright Elliptical Galaxies

HSTPhotometry of Dwarf Elliptical Galaxies in Coma, and an Explanation for the Alleged Structural Dichotomy between Dwarf and Bright Elliptical Galaxies