A Revised Implementation of the SM12 Continuum Solvation Model Targeting Structure, Reactivity and Spectroscopic Applications
Department of Chemistry, University of Manitoba, Winnipeg, MB, Canada R3T 2N2
Continuum solvation models are powerful tools for the modeling of condensed phases, and hence for approaching a realistic representation of complex chemical systems in a manner that is tractable for accurate quantum-chemical simulations. The SM12 solvation model, originally proposed by Marenich et al.\(^{1}\), is a Generalized-Born-Approximation (GBA) based solvation model. SM12 (and other GBA approaches) incorporate electrostatic effects as polarization energy due to partial charges while addressing non-electrostatic effects of the first-solvation shell in the form of atomic surface tension terms.\(^{2}\) Unique to SM12 among GBA approaches is the use of partial atomic charges that are basis-set independent and are derived from the accurate charge density. SM12 works in combination with the Hirshfeld-derived Charge Model 5 (CM5), and the ESP-derived Merk-Kollmann (MK) or ChElPG charges affording solvation energies for any element in the periodic table. The charge model 5 (CM5)\(^{3}\) variant was previously implemented for SM12 into the ADF code.\(^{4}\) However, the CM5 charges are not well-behaved for gradient evaluations, while the analytical gradients of the ESP-derived charges on a Cartesian grid are too expensive.
In this contribution, we present a revised SM12 implementation that uses Lebedeev grids to compute ESP-derived charges.\(^{5}\) These are atom-centered CHELPG (a-CHELPG) charges, that are computationally inexpensive, and well-behaved for energies and gradients. As a result, geometry optimizations are now feasible, and agree with finite-difference numerical gradients for molecules encompassing main-group, transition-metal, and f-block elements. In gas phase, the a-CHELPG charges yield dipole moments that are similar in scale to those from Cartesian grids. An assessment of the different charge options to compute solution-phase vertical excitation energies with SM12 will be presented.