High Quality Content by WIKIPEDIA articles! The Wulff construction is a method for determining the equilibrium shape of a droplet or Crystal of fixed volume inside a separate phase (usually its saturated solution or vapor.) Energy minimization arguments are used to show that certain crystal planes are preferred over others, giving the crystal its shape.In 1953 Conyers Herring gave a proof of the theorem and a method for determining the equilibrium shape of a crystal, which consists of two main exercises. To begin, a polar plot of surface energy as a function of orientation is made. This is known as the gamma plot and is usually denoted as gamma(hat{n}) where hat{n} denotes the surface normal, e.g. a particular crystal face. The second part is the Wulff construction itself in which the gamma plot is used to determine graphically which crystal faces will be present. It can be determined graphically by drawing lines from the origin to every point on the gamma plot. A plane perpendicular to the normal hat{n} is drawn at each point where it intersects the gamma plot. The inner envelope of these planes forms the equilibrium shape of the crystal.

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