Relationship between viscosity and fractal dimension of molecular netw ork in high temperature silicate melts
XU Pei-cang
Abstract
XU Pei-cang
Abstract
The prediction of viscosity in silic ate melts remains one of the most challenging and elusive goals in earth sciences.In this paper,the FD model of estimating viscosity in the high t emperature silicate melts is establ ished on the basis of measuring fractal dimen sion values of molecular network in t he melts.This model illuminates that the melt's viscosity is in inverse proportion to temperature of the silicate melts,in direct proportion to N i (bridge oxygen number of molecular network in melts for nanometer)and in inverse proportion to [O nb /T] (no-bridge oxygen number in one tetrahedron).The calculated viscosities of the f our silicate melts by FD model are con sistent with the measured ones,and are better than th ose by the VTF model.Therefore,the F D model is of great significance for deliberating magma transference an d evolution and enhancing performan ce of low dimensional silicate materials.
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The prediction of viscosity in silic ate melts remains one of the most challenging and elusive goals in earth sciences.In this paper,the FD model of estimating viscosity in the high t emperature silicate melts is establ ished on the basis of measuring fractal dimen sion values of molecular network in t he melts.This model illuminates that the melt's viscosity is in inverse proportion to temperature of the silicate melts,in direct proportion to N i (bridge oxygen number of molecular network in melts for nanometer)and in inverse proportion to [O nb /T] (no-bridge oxygen number in one tetrahedron).The calculated viscosities of the f our silicate melts by FD model are con sistent with the measured ones,and are better than th ose by the VTF model.Therefore,the F D model is of great significance for deliberating magma transference an d evolution and enhancing performan ce of low dimensional silicate materials.
Key concepts: Silicate, Viscosity, Fractal dimension, Thermodynamics, Inverse, Magma, Fractal, Materials science