ABSTRACT

The topic of this chapter is the solution of a simple and well-defined

model problem, namely, the molecular electrostatics problem for

one or more molecules immersed in a homogeneous dielectric

medium characterized by a dielectric constant, ε. The interface

between the atomistic region (the solute) and the continuum

solvent is defined by a molecule-shaped cavity such as the ones

depicted in Figs. 11.1(a) and 11.1(b). In practice, this cavity is

often constructed from atom-centered spheres, although more

Figure 11.1 (a) Pictorial depiction of a cavity, constructed from atomcentered spheres, that defines the interface between the atomistic region

and the continuum. (b) Triangular tessellation of the atom-centered spheres

that define the surface of the protein 3U7T (crambin). (c) Cavity surface for a

segment of double-stranded DNA, discretized with atom-centered Lebedev

grids. Panel (b) is reprinted from Ref. [25]; copyright 2002 John Wiley and

Sons.