But a 60°-prism cut from a crystal belonging to the optically biaxial
group, composed of the rhombic, monoclinic, and triclinic systems of
symmetry, will always afford two images of the slit or two spectra,
corresponding to two indices of refraction; and, when the orientation of
the prism is arranged so that the refracting angle is bisected by a
principal plane of the ellipsoid which represents the optical
properties, and the refracting edge is parallel to one of the principal
axes of the optical ellipsoid, the prism, when arranged for minimum
deviation of the light rays, will at once afford two of the three
refractive indices, α, β, γ, corresponding to light vibrations along two
of the three principal axial directions of the ellipsoid. The two
indices which the prism affords will be (1) the one which corresponds to
vibrations parallel to the refracting edge, and (2) that which
corresponds to undulations perpendicular to the edge and to the
direction of transmission of the light through the prism (the third axis
of the ellipsoid). For the vibrations of the light in the two rays into
which the beam is divided on entering the crystal are both perpendicular
to the direction of transmission and to each other; the two images or
spectra produced owing to the double refraction, that is, owing to the
different velocities of the two mutually rectangularly vibrating rays,
thus correctly afford the means of determining two of the three
principal (axial) refractive indices.
Gypsum, the monoclinic hydrated sulphate of lime, CaSO_{4}.2H_{2}O,
already referred to in connection with the Mitscherlich experiment in
Chapter VII., is an excellent substance to employ for the demonstration
of this fact, by cutting and polishing a 60°-prism out of a clear
transparent crystal of the mineral as above described; and if a Nicol
prism be introduced in the path of the rays, one spectrum or
monochromatic image will be extinguished when the Nicol is arranged at
its 0° position, and the other when the Nicol is rotated 90° from this
position. This proves that the two rays affording the two refractive
indices are polarised in planes at right angles to each other, and,
moreover, enables us to verify that the planes in which the vibrations
of the two rays occur are actually parallel and perpendicular
respectively to the refracting edge of the prism. For the two
extinctions occur when the vibration plane of the Nicol is either
vertical, parallel to the prism edge, or horizontal, perpendicular
thereto.
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