The R-matrix method is used to calculate the photoionization cross-sec
tion of Ti XIII from its ground and first three excited states. The re
sults are obtained for photon energies ranging from the first ionizati
on threshold to just above the second ionization threshold of the resi
dual ion Ti XIV. Configuration interaction wavefunctions are used to d
escribe the initial Ti XII and final Ti XIV states. The positions and
effective quantum numbers for the Rydberg series converging to the exc
ited state 2s2p6 S-2(e) of the residual ion, are predicted.