  Using our analytical expressions that well model the lattice simulations of
the gluonic excitations, we use the extended quark potential model to study the
effects of orbital and radial excitations on the masses and sizes of
conventional and hybrid $B_c$ mesons. A non relativistic formalism is used to
numerically calculate the wave functions using the shooting method; this allows
us also calculating the $E1$, $M1$ radiative partial widths for conventional
meson to meson and hybrid to hybrid transitions. We incorporate spin mixing and
compare our calculated spectrum and decay widths with the available
experimental $B_c$ masses and the theoretically predicted spectra and the decay
widths by other groups. Our results can help consider both conventional and
hybrid quantum numbers to $B_c$ mesons as experimental results become
available.
