  We have measured the K-shell internal conversion coefficient, alpha_K, for
the 88.2-keV M4 transition from the 106-day isomer to the ground state in 127Te
to be 484(6). When compared with Dirac-Fock calculations of alpha_K, this
result agrees well with the version of the theory that incorporates the effect
of the K-shell atomic vacancy and disagrees with the one that does not. As a
byproduct of this measurement, we have determined the beta branching from the
isomer to be 2.14(3)%.
