SynopsisSimple exact equations are derived for intensity light scattering from optically anisotropic wormlike chains in the absence of excluded volume. The results are valid at low scattering angles ( q 2 ( R % ) 5 1) for all wormlike chains from rigid rods to random coils. The present work and an earlier theory [Nagai, K. (1972) Polym. J. 3,67-831 appear to be equivalent, although they were both derived using different methods. The present work is primarily concerned with short wormlike chains, since intensity light scattering from short fragments may provide valuable information about DNA flexibility. By using the results of this work to reanalyze some older light-scattering studies [Godfrey, J. E. & Eisenberg, H. (1976) Biophys.Chem. 5,301-3181, it is shown that anisotropy corrections to polarized light-scattering measurements have been overcorrected in the past. It can be anticipated that future light-scattering experiments will determine the base-pair anisotropy.
INTRODUCTIONIn the last 10 years, advances in molecular biology have made it possible to obtain relatively large quantities of monodisperse DNA restriction fragments covering a broad range of molecular weights. The solution configuration of these fragments thus covers the spectrum from rigid rod to random coil. The primary purpose of this article is to examine in some detail the theory of (Rayleigh-Debye) light scattering from anisotropic wormlike chains, particularly short ones on the order of a persistence length long. This model may also be of use, for example, in studying certain viruses or stiff synthetic polymers.The usefulness of light-scattering methods as a tool to extract information on polymer chains in solution was recognized many years ago by Debye.' He determined the integrated intensity for linear chains by modeling the polymer as a large number of optically isotropic point scatterers that are distributed statistically as a Gaussian. More realistic models for stiff linear chains came later. Hermans and Ullman2 incorporated stiffness and connectivity when they considered the light scattered from a wormlike or K r a t k y -P~r o d~-~ chain made up of isotropic point scatterers. Riopolymers, Vol. 22, 1545Vol. 22, -1569Vol. 22, (1983 More recent work has determined integrated intensities for wormlike chains both with and without inclusion of excluded-volume effects.6-8In one important respect, these theories are unrealistic. Units of a real chain are usually optically anisotropic, and this anisotropy gives rise to depolarized light scattering. In general, the polarizability, which is related to the ability of the electrons of a molecule to become displaced under the influence of an electric field, is a symmetrical second-rank tensor.9 Integrated light-scattering intensities for thin rigid rods1°-12 and cylindrically symmetric particlesI3 have been determined for the more general anisotropic case. For certain flexible molecules, light-scattering measurements give unrealistic (even negative) values of RG based on isotropic models, and ...