The non-crystal silicates is special system that is metastable state of near-way order and far-way disorder.In this work

the network fractal dimension

pore fractal dimension

network self-similarity proportion

radius of gyration

pore volume percent

aggregation size and pore size（seven parameters） in the low dimension series（CaO-Al2O3-SiO2 and Na2O-Al2O3-SiO2 series） synthesizing via high temperature melting and sol gel methods have been studied and measured by means of fractal dimension theory

small-angle X-ray scattering（SAXS）

Raman spectrum（RS）and transition electron microscopy（TEM）.The nanometer self-similarity aggregation structure in the low temperature silicate gel

high temperature silicate melts（simulating magma melts）and its quenching glasses have been discovered.The size of aggregation structure is about a few nanometers to dozens of nanometers.Further more the mesoscopic aggregation structure model is established.The relationship between the parameters of the structure model and macro-characteristics in low-dimension silicates is showed.This model provide a set quantitative parameters of the aggregation structure（in nanometer size） for non-crystal silicate.It is concluded that the magma melts is an evolutive fractal dimension system.Therefore

it is of great significance for deliberating geochemistry characteristic of natural magma and enhancing performance of low dimension silicate materials.