Evaluation of the concentration of boroxol rings in vitreous by the stochastic matrix method

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Abstract
A statistical model in which the stochastic matrix method is applied is used to find the fraction of boron atoms belonging to boroxol rings in a boron oxide glass. The method also enables one to evaluate the characteristic energies related to the formation of a single B - O - B unit in an oxygen bridge or in a boroxol ring. The qualitative behaviour of the heat capacity during the glass transition is reproduced, with the inflexion point at the temperature given by the experiment. The model also gives a reasonable qualitative prediction for a characteristic exponent ruling the growth of microclusters, which may in turn be related to the specific volume.

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