Alunite crystals morphologically are rhombohedra with interfacial angles of 90?50', causing them to resemble cubes.
2.
His formulation of the Law of Constancy of Interfacial Angles built on observations by the geologist Nicolaus Steno.
3.
Neumann s triangle is consistent with the geometrical restriction that \ alpha + \ beta + \ theta = 2 \ pi, and applying the law of sines and law of cosines to it produce relations that describe how the interfacial angles depend on the ratios of surface energies.
4.
Nicholas Steno first observed the law of constancy of interfacial angles ( also known as the first law of crystallography ) in quartz crystals in 1669 . Ren?Just Ha�y, the " father of modern crystallography ", showed that crystals are periodic and established that the orientations of crystal faces can be expressed in terms of rational numbers, as later encoded in the Miller indices.
5.
Provided that the crystal faces have been correctly indexed and the interfacial angles were measured to better than a few fractions of a tenth of a degree, a crystalline material can be identified quite unambiguously on the basis of angle comparisons to two rather comprehensive databases : the'Bestimmungstabellen f�r Kristalle ( ? @ 545; 8B5; L @ 8AB0; ; > 2 )'and the'Barker Index of Crystals '.
6.
Internal brilliance the percentage of incident light reflected back to the viewer from the rear ( pavilion ) facets relies on careful consideration of a cut's interfacial angles as they relate to diamond's RI . The goal is to attain total internal reflection ( TIR ) by choosing the " crown angle " and " pavilion angle " ( the angle formed by the pavilion facets and girdle plane ) such that the reflected light's angle of incidence ( when reaching the pavilion facets ) falls outside diamond's " critical angle ", or minimum angle for TIR, of 24.4?
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