Abstract
Three dimensional slowness surfaces are used to investigate ferroelastic phase transitions of hexagonal crystals. Two classes of three dimensional slowness surfaces have been found. The soft mode and the most prominent softening direction have been determined by the maximum slowness. For a hexagonal crystal, the components of the elastic stiffness coefficients c <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">44</inf> or c <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">66</inf> has direct relation with the ferroelastic phase transitions.
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