  We analyse some dimension-five CPT-even and Lorentz-violating nonminimal
couplings between fermionic and gauge fields in the context of the Dirac
equation. After evaluating the nonrelativistic Hamiltonian, we discuss the
behavior of the terms under discrete symmetries and analyse the implied
effects. We then use the anomalous magnetic dipole moment and electron electric
dipole moment measurements to reach upper bounds of $1$ part in $10^{20}$ and
$10^{24}$ $\left( eV\right) ^{-1}$, improving the level of restriction on such
couplings by at least 8 orders of magnitude. These upper bounds are also
transferred to the Sun-centered frame by considering the Earth's rotational
motion.
