Abstract
In this paper the dependence on angular coordinates of the total energy of helices with repeating monomer sequence is investigated. It is shown that for extremal total energy it is necessary to have extremal energy also for the interaction of one monomer with all the others. Conditions are given that the corresponding state be one of stable equilibrium. The results are then applied to helical arrays of dipole pairs, representing simple models for DNA polymers. It turns out that some of the observed features of polynucleotide helices are already reflected by the behavior of their dipole-dipole interaction energy as a function of the torsional angle. Hence the investigation of the behavior of the dipole-dipole interaction energy is of value for deciding in advance, whether or not an ordered secondary structure is to be expected for polynucleotides of arbitrary composition.
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