The competition between chemical and spatial constraints leads to the unusual properties of many materials that have been analysed using the bond valence model. Applications are found in fields ranging from crystallography, i.e, structure analysis (Sections 12.2 and 12.8), through condensed matter physics (Section 12.3), chemistry (Section 12.4), mineralogy (Section 12.5), materials science (Section 12.6) and molecular biology (Section 12.7). They have been particularly useful in the analysis of perovskite related solids (Section 12.3.1) and the modelling of the surfaces between inorganic solids and aqueous solutions (Section 12.6.2).
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