Triaxial Shapes forsd-Shell Nuclei

The $E2\mathrm{}$ properties and excitation energies of low-lying states in ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{26}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{30}{}_{}{}^{}\mathrm{Si}$, and ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ are calculated using the adiabatic model of a triaxially deformed rotor. The results are compared with those of recent shell-model calculations and strong similarity is found for both ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ and ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ with nearly the same deformation parameters in the adiabatic model. The strength for isovector $M1\mathrm{}$ excitation, pertinent to results of inelastic electron scattering, is also calculated using the closure sum rule.