Pressure Dependence of the Elastic Constants of Single Crystalline Aluminum Oxide

The six single crystal elastic constants of aluminum oxide have been measured by the ultrasonic pulse superposition method at 25 °C as a function of hydrostatic pressure up to 10 kbar. A linear pressure dependence has been found in all cases. The results are compared and found to agree approximately with theoretical data for the hexagonal close-packed structure with nearest neighbor central forces. They are also used to calculate the pressure dependence of the lattice parameters from Thurston's equation of state. The agreement with directly measured experimental data of Hart and Drickamer is excellent for one, and poor for the other lattice parameter. Die sechs elastischen Konstanten von Aluminiumoxyd-Einkristallen wurden bei 25 °C in Abhangigkeit vom hydrostatischen Druck mittels des Ultraschall-Impuls-Uberlagerungsverfahrens gemessen. In allen Fallen wurde eine lineare Druckabhangigkeit gefunden. Die Ergebnisse konnen angenahert durch die theoretischen Daten fur die hexagonal dichteste Kugelpackung mit Zentralkraften zwischen nachsten Nachbarn beschrieben werden. Sie werden auserdem dazu verwendet, mit Hilfe der Thurstonschen Zustandsgleichung die Druckabhangigkeit der Gitterparameter zu berechnen. Fur einen der beiden Gitterparameter ist die Ubereinstimmung mit direkt gemessenen Werten von Hart und Drickamer sehr gut, fur den anderen jedoch nur durftig.

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