Abstract
The static electric quadrupole moments of the ground and first excited states of nuclei in the $\mathrm{sd}$ shell are calculated from shell-model wave functions. The relative values of experimentally known moments of ground states are well reproduced by the calculations as are the relative values of the measured moments of ${J}^{\ensuremath{\pi}}={2}^{+}$ first excited states. However, the absolute experimental values of the ground-state and exicted-state moments cannot be reproduced simultaneously with a single choice of effective charge.
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