8. 4  Is the Atomic Arrangement in Glass a Completely Disordered Structure?
- The Investigation of Such a "Disordered Structure" Using Synchrotron Radiation and Computer Simulation
 


Fig. 8-7 The structure factors of vitreous B2O3 studied by means of high-energy X-ray and pulsed neutron diffractions

Using high-energy X-ray diffraction techniques, the structure factor for vitreous B2O3 has been accurately determined up to high momentum transfer (~350 nm-1). The latter value of maximum momentum transfer is equivalent to that achieved in pulsed neutron diffraction data. There is a large difference between structure factor determination with X-rays and that with neutrons, because of the difference in their intrinsic coherent scattering cross sections. Structural models generated with the reverse Monte Carlo (RMC) modeling technique can reproduce accurately both pieces of experimental data.


Fig. 8-8 RMC configuration for the boron-oxygen (B-O) network and unit structures of vitreous B2O3

The presence of boroxol (planar B3O6) rings is clearly visible in the B-O network. Our largest actual RMC model consists of 4,000 (B: 1,600, O: 2,400) atoms. From the analysis of the RMC model we conclude that the structure of vitreous B2O3 contains 20 % B atoms in planar boroxol rings.



Many materials in common use are amorphous (disordered, non-crystalline) substances, such as glasses, liquids, and polymers. The structure of such materials is difficult to characterize, because unlike crystals, these systems do not have a periodic structure.
X-ray diffraction measurements are one of the most useful methods to investigate the structure (atomic arrangement) of materials. However, up to now the experimental data from X-ray diffraction measurements have been limited in accuracy and in structural information content (the range of momentum transfer), because of the relatively low energy of X-rays used for these measurements.
Using monochromatized high-energy (30 -114 keV) synchrotron radiation at SPring-8, we have succeeded in recording diffraction measurement data which yield an accurate structure factor (normalized diffraction intensity) for one of the most popular and important amorphous materials, vitreous B2O3, with a wide range of momentum transfer (Fig. 8-7). Further, we have created a three-dimensional, realistic structural model of vitreous B2O3 by reverse Monte Carlo (RMC) simulation applied to high-energy X-ray and pulsed neutron diffraction data (Fig. 8-8). Clearly, the structural model shows that the B-O network contains ordered regions containing the planar B3O6 (boroxol) rings. The combination of computer simulations such as RMC and accurate diffraction data obtained with X-rays and neutrons appears to be sufficient to determine the structure of amorphous materials.
Such an accurate method for three-dimensional modeling of atomic arrangements clearly has great potential for research and structural design of disordered materials.



Reference
K. Suzuya et al., High Energy X-Ray Study of the Structure of Vitreous B2O3, Phys. Chem. Glasses, 41, 282 (2000).

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Persistent Quest - Research Activities 2001
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