  The first complete set of unified cross sections and rate coefficients are
calculated for photoionization and recombination of He- and Li-like ions using
the relativistic Breit-Pauli R-matrix method. We present total, unified (e +
ion) recombination rate coefficients for (e + C VI ---> C V) and (e + C V
\longrightarrow C IV) including fine structure. Level-specific recombination
rate coefficients up to the n = 10 levels are also obtained for the first time;
these differ considerably from the approximate rates currently available.
Applications to recombination-cascade coefficients in X-ray spectral models of
K-alpha emission from the important He-like ions is pointed out. The overall
uncertainty in the total recombination rates should not exceed 10-20%.
Ionization fractions for Carbon are recomputed in the coronal approximation
using the new rates.
  The present (e + ion) recombination rate coefficients are compared with
several sets of available data, including previous LS coupling results, and
`experimentally derived' rate coefficients. The role of relativistic fine
structure, resolution of resonances, radiation damping, and interference
effects is discussed. Two general features of recombination rates are noted:
(i) the non-resonant (radiative recombination) peak as E,T ---> 0, and the (ii)
the high-T resonant (di-electronic recombination) peak.
