Minerals in rock sections : $b The practical methods of identifying minerals in rock sections with the microscope, especially arranged for students in technical and scientific schoolsLuquer, Lea McIlvaine
Science
Minerals in rock sections : $b The practical methods of identifying minerals in rock sections with the microscope, especially arranged for students in technical and scientific schools
Luquer, Lea McIlvaine
Petrology -- Laboratory manuals
Consider now the general question of the transmission of the doubly
refracted rays through a plate. Whatever the angle of the parallel
incident rays, each ray as AB, Fig. 17, is resolved, as just described,
into two rays BC and BD, polarized at right angles to each other and
following (usually) different paths in the plate. On emergence these
follow parallel paths. Among the incident rays there are rays EG and FH,
such that one component of FH will emerge at D with one of the
components of AB, and one component of AB and one component of EG will
emerge at C. Hence from every point of the upper surface of the plate
there will emerge two rays and these rays will have travelled through
different paths in the plate with different velocities and will have
their vibrations at right angles to each other.
When these doubly refracted rays come to the analyzer, whose plane of
vibration is A′A, they cannot get through vibrating in their present
directions, but components of these rays, such as _ot_ and _os_, can get
through vibrating parallel to the plane A′A.
Hence we have two series of rays coming to the eye, polarized in the
same plane, but one set slightly in advance of the other. These rays
will “interfere” and produce some _interference_ or _polarization_
color.[47] In using white light whenever one of two light rays of the
same color has suffered a “retardation” of just one wave-length (or even
multiple thereof) the color will be extinguished; and when the
“retardation” is one half wave-length (or even multiple thereof) the
color will be intensified. Therefore, some tints will be extinguished
and others intensified, the combination resulting in the production of
some definite interference color. Of course in the case of monochromatic
light the thickness of the section may be such that “destructive
interference” takes place producing no color (darkness).
Now suppose the stage to be rotated until the section _cdef_ takes the
position _c′d′e′f′_. The section will be found to be dark and no
interference color will be seen. This is due to the fact that the
directions of vibration in the section are parallel to the planes of
vibration of the crossed nicols, consequently the light passes through
the section still vibrating parallel to the plane PP′ of the polarizer
and is all cut out by the analyzer. Darkness will occur every 90° and
therefore four times during a complete rotation of the stage. The
interference color is also observed to vary in intensity, but not in
color, and to be at its maximum 45° from the positions of darkness.
Sections of uniaxial crystals at right angles to the optic axis act like
isotropic substances and remain dark during a complete rotation of the
stage. In the biaxial crystals, a section at right angles to an “optic
axis” shows uniform illumination[48] which does not change as the stage
is rotated.
Public-domain text, read in full here on John Shaqi.
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