If a single spectrum be afforded, which remains single on rotation of
the Nicol, the prism is of glass or of a uniaxial crystal cut so that
the light passes along the optic axis. If two spectra be shown when the
Nicol is arranged in the neighbourhood of its 45° position, the crystal
is a doubly refracting one, and if orientated so that the single optic
axis, if the crystal be uniaxial, is parallel to the refracting edge,
or, if the crystal be biaxial, so that the refracting edge is parallel
to one of the three principal axes of the optical ellipsoid and its
bisecting plane is parallel not only to this but also to a second
principal axis, then one spectrum, corresponding to one principal
refractive index, will extinguish when the Nicol is rotated to its 0°
position, and the other spectrum, corresponding to a second principal
refractive index, will be quenched on rotation of the Nicol to its 90°
position.
The separation of the two spectra on the screen depends on the amount of
the double refraction, and in the case of calcite this is exceptionally
large, so that the two spectra are widely separated on the screen. They
differ also considerably in dispersion. In the case of quartz the double
refraction is very small, and the spectral images of the slit are
consequently so close together as almost to touch one another. The pair
of spectra afforded by gypsum are similarly very close together, owing
also to weak double refraction. The amount of the double refraction is
measured by the difference between the uniaxial indices ε and ω, or that
between the minimum and maximum biaxial indices α and γ. The two spectra
given by quartz and calcite will correspond to ε and ω, and the greatest
separation of spectra occurs in the case of gypsum when the spectra are
those corresponding to α and γ, and not to α and β or β and γ.
It will now be useful and very helpful to examine more closely into the
nature of the beautiful mineral quartz, in order that a series of
interesting experiments may be described with it, which will assist
largely in rendering the optical characters of crystals clear to us.
_Quartz_, rock-crystal, although perhaps the commonest and best known of
all crystallised substances, the naturally occurring dioxide of silicon
SiO_{2}, is yet one of the most remarkable and fascinatingly
interesting. To begin with, as explained in the last chapter, quartz
belongs to one of the eleven enantiomorphous classes of lower than full
systematic symmetry, those which exhibit two mirror-image forms related
to one another like a pair of gloves. The particular class of the eleven
to which quartz belongs is the trapezohedral class of the trigonal
system, and two typical left-handed and right-handed crystals are shown
in Fig. 68 and Fig. 69 respectively.
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