Calculations have been carried out on the scattering of high energy electrons and neutrons from the nucleus Li[6]. The analysis of electron scattering yields information about the nuclear charge distribution, and neutron scattering yields information about the mass density distribution and the parameters of the optical model potential. In the introductory section, Part I, the predictions of the shell model for Li[6] are discussed and the shell model wavefunctions for the ground state and the first excited state are constructed. The evidence for a cluster structure is also considered. Part II deals with electron scattering. The elastic scattering from the spherically symmetric charge distribution obtained from LS coupled shell model wavefunctions is first considered and results obtained using wavefunctions derived from a finite oscillator potential are compared with other shell model calculations. This calculation is extended to include elastic quadrupole scattering from the non-symmetric distribution given by wavefunctions constructed using intermediate coupling and jj coupling. The elastic scattering predicted by a simple cluster model is also considered, Inelastic scattering is examined, again using shell model wavefunctions; agreement with experiment is poor and possible reasons for the discrepancy are discussed. The contribution to elastic and inelastic scattering due to scattering from the magnetization and current densities is considered briefly. In addition, the wavefunctions and energy levels computed in the electron scattering calculations are used to calculate the total energy of the nucleus. In Part III, inelastic neutron scattering is considered in the impulse approximation, again using shell model wavefunctions for the nucleus. Distortion of the incoming and outgoing waves by the nucleus is first neglected, then taken into account through the W.K.B. approximation, the validity of the latter approximation being assessed by comparison with a partial wave analysis.