Distance least squares modelling of the cubic sodalite structure and of the thermal expansion of Na8(Al6Si6O24)I2

The Distance Least Squares (DLS) structure modelling technique is used to determine the room-temperature structures of the sodalites Li₈(Al₆Si₆O₂₄)Cl₂, Na₈(Al₆Si₆O₂₄)Cl₂, K₈(Al₆Si₆O₂₄)Cl₂, Na₈(Al₆Si₆O₂₄)Br₂, and Na₈(Al₆Si₆O₂₄)I₂. The technique is also used to calculate the thermal expansion behaviour of Na₈(Al₆Si₆O₂₄)I₂ assuming that the discontinuity in its thermal expansion curve occurred either when the ideal fully-expanded state was achieved (case 1) or when the x-coordinate of the sodium atom became 0.25 (case 2). The results are given as plots of bond lengths and bond angles as a function of temperature. Case 2 was preferred and analysis of the results implied that the driving force for the untwisting of the partially-collapsed sodalite framework was in the framework bonds with the cavity ion bonds resisting the untwisting. Best estimates indicate that the expansion of the Na-O and Na-I bonds are 9% and 27.4% respectively, between room temperature and 810° C, and there is an apparent shortening of the framework bond distances of about 1.5%.