B. Mennucci et al., Analytical free energy second derivatives with respect to nuclear coordinates: Complete formulation for electrostatic continuum solvation models, J CHEM PHYS, 110(14), 1999, pp. 6858-6870
We present the theory and the implementation of analytical free energy seco
nd derivatives with respect to nuclear displacements for a molecular solute
described within the framework of the polarizable continuum model. The for
mulation applies to a cavity with an accurately modeled molecular shape and
it permits a complete consideration of all aspects of the solvation model.
In particular, the implementation uses the recently proposed method known
as the integral equation formalism (IEF), and it can be applied to Hartree-
Fock and to density functional calculations. The analysis of both formal an
d technical features is reported as well as some numerical applications to
solvatochromic shifts in IR vibrational frequencies and to transition state
searches for reactions in solutions. (C) 1999 American Institute of Physic
s.