Abstract

AbstractIt is shown that modeling the first oxygen‐oxygen peak in the neutron correlation function of a glass enables structural information about other correlations to be obtained, and the method is illustrated by application to a sodium silicate glass. The first O–O coordination number can be calculated from network theory, and sodium silicate crystal structures show that the mean O–O distance can be calculated from the Si–O distance, despite the distortion of the SiO4 tetrahedra. Modeling the O–O peak for a sodium silicate glass allows the Na‐O bond length distribution to be determined. For a binary glass with 42.5 mol% Na2O, it is found that the Na–O coordination number is 4.8(2) with an average bond length of 2.45 Å, and the Na–O bond lengths are more widely distributed than in sodium silicate crystal structures. Sodium ions are bonded mostly to non‐bridging oxygens (NBOs), and the Na–NBO coordination number may be four as in crystals. Sodium ions are also bonded to a smaller number of bridging oxygens (BOs). Contrary to previous reports, it is not concluded that Na–NBO bonds are shorter than Na–BO bonds, but instead that the Na–BO distribution is relatively narrow, whilst the Na–NBO distribution extends to both shorter and longer distance. The broad distribution of Na–O bond lengths arises from a relatively broad distribution of Na–NBO bond valences, subject to the overall requirement of charge balance.

Highlights

  • Neutron diffraction is arguably the most reliable experimental method for the determination of the bond length distribution and coordination number of ions in glasses.[1]

  • This information is an important basis for simulation of O–­O peaks in a neutron correlation function, allowing other correlations at similar distance to be probed in detail, and this is illustrated for a binary sodium silicate glass with 42.50 mol% Na2O

  • | 15 the ratio of the mean Si–­O and O–­O distances in the distorted SiO4 tetrahedra is virtually the same as the ratio for undistorted tetrahedra. This ratio, together with the predicted (O–­O)Si coordination number, allows a fit to be performed to the neutron correlation function, giving an estimate of the distribution of Na–­O bond lengths

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Summary

Introduction

Neutron diffraction is arguably the most reliable experimental method for the determination of the bond length distribution and coordination number of ions in glasses.[1]. We discuss in detail how the O–­O peak in the neutron correlation function of a sodium silicate glass can be modeled to enable the distribution of Na-­O bond lengths to be closely investigated.

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