  In this paper, we have calculated parity nonconserving electric dipole
transition amplitudes of the hyperfine components for the transitions between
the ground and first excited states of $^{137}$Ba$^{+}$ and $^{87}$Sr$^{+}$
using sum-over-states technique. The results are presented to extract the
constants associated with the nuclear spin dependent amplitudes from
experimental measurements. The wavefunctions to calculate the most dominant
part of the sums are constructed using highly correlated coupled-cluster theory
based on the Dirac-Coulomb-Gaunt Hamiltonian.
