In the author's previous paper, it was stated that due to the disposition that the cations of the modifying oxide do not approach to each other, atomic groups denominated as xy
4 are formed in glasses containing B
2O
3 at the viscosity of about 1.5×10
12 poises, i.e., near the contraction temperature of the glass. In this paper, further considerations concerning the xy
4-group formation in borosilicate glasses are given from the point of view of the ionic refraction of various oxygen in sodium borate glasses.
It is deduced that the B-O bonds in the BO
4 tetrahedron which is located in the central part of the xy
4-group is very strong, and this tetrahedron is formed at the expense of the loosening of the B-O bonds in the BO
3 triangles around it, i.e., these BO
3 triangles are unstable in comparison with those in the normal state. Accordingly, the predominance in number of the atomic groups xy
4 in comparison with other groups such as xy
3z, xy
2z
2, xyz
3, or xz
4, where x, y, and z represent BO
4 tetrahedron, BO
3 triangle and SiO
4 tetrahedron, respectively, is explained.
When the Na
2O content in the sodium borate glass is increased above 0.167, Na ions begin to cut the B-O bonds around xy
4-groups, and as the result, the unstable BO
3 triangles around BO
4 tetrahedron must be stabilized to some degree. It may be supposed that these Na ions should then be trapped in deep potential holes on cutting off the B-O bonds. These Na ions should not be so free as those added later, and they may be regarded as the so-called “enclosed” Na ions.
It may also be supposed that for each one xy
4-group, one Na ion could be the “enclosed” ion, i.e., free Na ions should begin to be produced at the composition 2Na
2O⋅5B
2O
3 or 28.6 mol% Na
2O. Thus the location of the maximum transition temperature curve in the ternary diagram Na
2O-B
2O
3-SiO
2, and the stability of the network of borosilicate glasses are discussed.
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