The applicability of the Woodcock potential form is considered for studying the crystalline properties of alkali halides. This potential form represents the composite form of the inverse power dependence and the exponential dependence of the repulsive energy on interionic distance. The cohesive energy, pressure derivative of bulk modulus, thermal expansion coefficient, and the Gruneisen-Anderson parameters are calculated for sixteen NaC1-structure alkali halide crystals. The results are discussed and compared with available experimental data. The corresponding values obtained from the Born-Land6 inverse power form and from the Born-Mayer exponential form are also presented for the sake of comparison. The important contribution is the finding that the Woodcock potential is applicable to all the three states viz. molecular state, liquid or molten state, and crystalline state of alkali halides.Die Anwendbarkeit des Woodcockpotentials zur Untersuchung der Kristalleigenschaften von Alkalihalogeniden wird untersucht. Diese Potentialform stellt die zusammengesetzte Form der inversen Kraftabhangigkeit und der exponentiellen Abhangigkeit der AbstoBungsenergie vom Abstand zwischen den Ionen dar. Die Kohasionsenergie, die Druckableitungen des Elastizitatsmoduls, der thermische Ausdehnungskoeffizient und die Griineisen-Anderson-Parameter werden fur sechzehn Alkalihalogenidkristalle mit NaC1-Struktur berechnet. Die Ergebnisse werden diskutiert und mit vorhandenen experimentellen Werten verglichen. Die entsprechenden aus der BornLand&-Form der inversen Kraft und aus der Born-Mayer-Exponentialform erhaltenen Werte werden zum Vergleich ebenfalls angegeben. Das Ergebnis ist die Bestatigung der Beobachtung, da13 das Woodcock-Potential auf alle drei Zustande, Molekiilzustand, Fliissigkeit oder Schmelze und kristalliner Zustand der Alkalihalogenide anwendbar ist.
The relationships are given between thermoelastic properties and higher-order (third and fourth order) elastic constants for twenty alkali halides with NaCl and CsCl structures, and for four alkaline earth oxides viz. MgO, CaO, 6r0, and BaO crystals. Expressions for thermoelastic qwntities such as the Griineisen parameter and its volume derivative, Anderson parameters, and thermal expansion coefficient, are obtained in terms of higher-order elastic constants. These expressions provide a new method for estimating thermoelastic qnantities from higher-order elastic const,ants. Calculations are performed using a n interionic potential model which takes account of three body interactions, van der Waals interactions, and overlap repulsive interactions upto second neighbours. The resuks are discussed and compared with experimental data.Die Beziehungen zwischen den thermoelastischen Eigenschaften und den elastischen Konstanten hoherer Ordnung (dritter und vierter Ordnung) werden fur zwanzig Alkalihalogenide mit NaClund CsC1-Struktur und fur vier Erdalkalioxide, MgO-, CaO-, SrO-und BaO-Kristalle, angegeben. Ausdriicke fur die thermoelastischen GroBen, wie Griineisenparameter und seine Volumenableitung, Andersonparameter, thermischer Ausdehnungskoeffizient, werden mit den elastischen Konstanten hoherer Ordnung erholten. Diese Ausdriicke liefern eine neue Methode zur Rerechnung der thermoelastischen GroIlen a m den elastischen Konstanten hohcrer Ordnung. Die Berechnungen werden mit einem Interionenpotentialmodell durchgefiihrt, das Dreikorperwechselwirkungen, van der Waals-Wecliselwirkungeii und abstol3ende Uberlappungswechselwirkungen bis zu zweiten Nachbarn beriicksichtigt. Die Ergebnisse werden diskutiert und mit experimentellen Werten verglichen.
The effect is investigated of recently calculated van der Waals potentials and new ultrasonic elastic data on thermal energy, crystal binding energy, and compressibility of alkali halide crystals within the framework of Hildebrand and Mie-Gruneisen equations of state. Recent experimental data on the compression of LiF crystal are compared with the results calculated in the present work. It is found that the Hildebrand equation of state using an exponential form alongwith the vdW interactions yields better agreement with experimental data than those obtained from other potential models based on an inverse power form or the Mie-
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