In solutions of tetramethylammonium (TMA(+)) DNA (double stranded) without
added low-molecular-weight salt, the counterion radial density is calculate
d using the cylindrical Poisson-Boltzmann equation with a distance-dependen
t quasimacroscopic dielectric permittivity. Comparisons with small-angle ne
utron scattering data indicate that any inhomogeneity in dielectric permitt
ivity is confined to one or two solvent layers from the DNA surface. At fea
st for TMA(+), which may be too large to penetrate the grooves of DNA to an
y significant extent, dielectric inhomogeneity modeled in this way has no d
etectable effect on the radial distribution.