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is at least 0-02. A single plane facet is sufficient to give the whole of the optical properties, except possibly the sign of the doable refraction.
Optical groups
The crystal systems could be divided into optical groups, e.g. (1) Cubic and amorphous minerals—simply refractive or isotropic. These substances have one refractive index and light travels with the same velocity in all directions. These minerals are known as isotropic. (2) All substances belonging to other crystallographic systems are anisotropic; that is, the velocity of light varies with the direction in which it passes through them. They may have one or two isotropic directions, known as the direction of the optic axes. They are uniaxial, which include the tetragonal and hexagonal systems which have one optic axis; and biaxial—the remaining three systems, viz. the orthorhom-bic, monoclinic, and triclinic crystals, because they have two optic axes. For further details treatises on optical mineralogy could be consulted.
Pleochroism
The colour of a substance is due to certain portions of white light being absorbed in passing through it. This is also called selective absorption. The portion not so absorbed causes the colour that is seen. In isotropic substances light is absorbed equally in all directions. But in anisotropic substances, the absorption of light varies with the direction, as is also the case with the velocity of light. This variation in absorption with direction causes the phenomenon known as 'pleochroism'.
Ruby supplies a good example. When looked through parallel to the vertical or optic axis, the ruby has a much deeper red colour than when viewed in a direction at right angles to it. So rubies are better cut with the table parallel to the basal pinacoid. Uniaxial crystals have two principal indices of refraction and they possess two corre-
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