  Interference terms between monopole and quadrupole Coulomb form factors that
contribute to the cross-section of electron scattering from polarized nuclei
are studied within the plane wave Born approximation. By experimentally
exploring the effect of this nuclear response, valuable insights into the sign
of the quadrupole deformation can be obtained. The nuclear structure is
evaluated numerically using a self-consistent deformed Hartree-Fock
approximation with Skyrme effective interactions and accounting for pairing
correlations. To illustrate the practical applicability, several examples of
odd-A nuclei with different spins and deformations are examined. Comparison of
unpolarized and polarized cross-sections becomes a tool to discriminate between
the oblate and prolate nature of the nuclear shape, providing a deeper
understanding of the nuclear deformation.
