The persistence length DNA hexagonal-cholesteric phase transition upon
dilution and/or increase in solvent ionic strength is investigated wi
th polarized light microscopy. The ionic strength dependence of the tr
ansition follows Lindemann criterion C-L = 0.098 +/- 0.003, i.e., the
hexagonal lattice melts when the root-mean-square fluctuations in tran
sverse order exceed 10% of the interaxial spacing. The spacings are de
rived from density and the fluctuations are estimated with a theory of
undulation enhanced electrostatic interactions. Additional support fo
r this theory is given by the DNA equation of state and anisotropic ne
utron radiation scattering from magnetically aligned cholesteric sampl
es just below the phase transition.