Measurements of the inelastic scattering of 210 MeV ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ ions from ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$, and ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$ have been made. Differential cross sections leading to the first excited ($2^{+}$) states of the target nuclei were obtained. The angular distributions for ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ (6.8°–60.6°), ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ (4.9°–45.9°), and ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$ (7.2°–48.3°) are similar in shape to those for elastic scattering, with diffractive oscillations at forward angles followed by smooth exponential falloff, characteristic of refractive nuclear scattering, at the larger angles. Distorted-wave Born approximation calculations provide good fits to the data when unique ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ optical-model potentials, derived from elastic scattering data, are used. Calculations with discrete ambiguous potentials deviate from the data at large angles. Coupled-channels calculations reproduce both the elastic and inelastic scattering data without significant changes in the unique potentials. The deformation lengths, ${\beta }_2$R, derived from the analyses are compared with results of previous measurements. The deduced quadrupole moments, $q_{20}$, are in excellent agreement with those obtained from electromagnetic measurements.

• Received 1 June 1989

DOI:https://doi.org/10.1103/PhysRevC.40.1237