Abstract
The adiabatic theory of vibrationally inelastic scattering of the previous paper is formulated in three dimensions. Additional terms are present due to the angle dependence of the adiabatic reference potential Vo(r,R,γ). The theory is formulated so that the user can select various options to treat the various degrees of freedom. The orbital angular momentum is approximated by either the sudden or classical limits. The rotational angular momentum is either quantized or treated by the sudden approximation. The resulting coupled equations of motion may be solved numerically or by an exponential semiclassical perturbation theory.