  We evaluate the zero-point renormalization (ZPR) due to electron-phonon
interactions of 28 solids using the projector-augmented-wave (PAW) method. The
calculations cover diamond, many zincblende semiconductors, rock-salt and
wurtzite oxides, as well as silicate and titania. Particular care is taken to
include long-range electrostatic interactions via a generalized Fr\"ohlich
model, as discussed in Phys. Rev. Lett. 115, 176401 (2015) and Phys. Rev. B 92,
054307 (2015). The data are compared to recent calculations, npj Computational
Materials 6, 167 (2020), and generally very good agreement is found. We discuss
in detail the evaluation of the electron-phonon matrix elements within the PAW
method. We show that two distinct versions can be obtained depending on when
the atomic derivatives are taken. If the PAW transformation is applied before
taking derivatives with respect to the ionic positions, equations similar to
the ones conventionally used in pseudopotential codes are obtained. If the PAW
transformation is used after taking the derivatives, the full-potential spirit
is largely maintained. We show that both variants yield very similar ZPRs for
selected materials when the rigid-ion approximation is employed. In practice,
we find however that the pseudo version converges more rapidly with respect to
the number of included unoccupied states.
