By using the theory of intermolecular forces, two new expressions
for Pauli repulsion and dispersion
contributions to the solvation free energy are derived. These
expressions contain explicitly the solute electron
density and, therefore, can be used directly in the SCF calculation of
the solute wave function within the
polarizable continuum model (PCM). The final expressions are very
simple and include also some intrinsic
solvent properties which are, for repulsion, the density, the molecular
weight, the number of valence electrons,
and for dispersion, the refractive index and the ionization potential.
This new approach does not depend on
any given intermolecular potential and it can be adapted to any choice
of basis set. For small-size basis sets,
even minimal, the dispersion contribution is obtained in two steps and
includes the effect of adding diffuse
and polarization functions, not used in the wave function itself.
This method has been implemented in our
HONDO package, in a version which includes the cavitation contribution,
determined by the Pierotti−Claverie
method, and the polarization contribution determined by the
Miertus−Scrocco−Tomasi method. Some
preliminary results on solutes containing C, H, O, and N are presented
for solvation in water, n-hexane, and
1-octanol. The quality of these results, given the simplicity of
the PCM, is acceptable and of great interest
for future developments.
We present a method for computing intermolecular energies of large molecules based on a suitable fragmentation scheme, which allows one to express the complete interaction energy as a sum of interaction energies between pairs of fragments. The main advantage consists in the possibility of using standard ab initio quantum methods to evaluate the fragment energies. For the 4-n-pentyl-4′-cyanobiphenyl (5CB) dimer, the present results indicate that the most favorite arrangement corresponds to an antiparallel side-by-side geometry with a stabilization energy of about 16 kcal/mol. It is shown that, by the present method, the interaction energy of the 5CB dimer can be evaluated for all geometrical conformations and, in principle, it can be used for bulk simulations.
The Menshutkin reaction NH3 + CH3 Cl →
CH3NH3
+ +
Cl- in aqueous solution is studied using the
CASSCF
method combined with the polarizable continuum model in a version that
includes electrostatic, repulsion,
and dispersion solute−solvent interactions. The solvent reaction
field is inserted in the CASSCF Hamiltonian
resorting to a mean-field approximation. The
C
3
v
symmetry is
maintained for all the geometries considered
and the active space is generated distributing four electrons in four
orbitals of a1 type. The results of the
present study are in excellent agreement with recent ab initio
calculations, which use both continuum and
discrete solvation models, and with available experimental data.
The analysis of the electronic structure of
the transition state by the VB method explains the mechanism of this
reaction in terms of a Linnett-type
nonpaired spatial orbital representation as in a four-electron,
three-center bonding unit.
We propose a new class of multideterminantal Jastrow-Slater wave functions constructed with localized orbitals and designed to describe complex potential energy surfaces of molecular systems for use in quantum Monte Carlo (QMC). Inspired by the generalized valence bond formalism, we elaborate a coupling scheme between electron pairs which progressively includes new classes of excitations in the determinantal component of the wave function. In this scheme, we exploit the local nature of the orbitals to construct wave functions which have increasing complexity but scale linearly. The resulting wave functions are compact, can correlate all valence electrons, and are size extensive. We assess the performance of our wave functions in QMC calculations of the homolytic fragmentation of N-N, N-O, C-O, and C-N bonds, very common in molecules of biological interest. We find excellent agreement with experiments, and, even with the simplest forms of our wave functions, we satisfy chemical accuracy and obtain dissociation energies of equivalent quality to the CCSD(T) results computed with the large cc-pV5Z basis set.
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