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PRINCIPLES OF ACTION OF RETARDATION PLATES      139

                          cross is also useful in case a polar becomes misaligned in its holder, requiring the
                          operator to readjust the polar’s orientation.
                        • Using the telescope eyepiece or Bertrand lens, partially close the condenser aper-
                          ture diaphragm so that bright outer regions of depolarized light visible at the edge
                          of the aperture field are blocked. This greatly improves the extinction factor of the
                          microscope optics. Switching back to viewing mode, the field of view at extinction
                          should now be very dark. Normally it should only be necessary to rotate the speci-
                          men slide to examine the object at different azimuthal angles, leaving the positions
                          of the polarizer and analyzer fixed and unchanged. Because it is often necessary to
                          rotate specimens during examination, it is convenient to use a specially designed
                          rotating stage that is marked in degrees at its periphery. Rotating stages must be
                          adjusted so that their center of rotation is superimposed on the optic axis of the
                          microscope.



                       APPEARANCE OF BIREFRINGENT OBJECTS
                       IN POLARIZED LIGHT

                       Birefringent specimens exhibit characteristic patterns and orientations of light and dark
                       contrast features that vary, depending on the shape and geometry of the object (linear or
                       elongate vs. spherical) and the molecular orientation. In the absence of a compensator,
                       spherical objects with radially symmetric molecular structure exhibit a dark upright
                       polarization cross superimposed on a disk composed of four bright quadrants. Thus,
                       there are eight alternating bright and dark contrast regions distributed around the cir-
                       cumference of the sphere. If a compensator such as a  /4 (quarter-wave) plate is inserted
                       into the beam so that its slow axis is oriented at 45° with respect to the transmission axes
                       of the polarizer and analyzer, a pattern of four quadrants is observed, with one pair of
                       opposite quadrants showing bright contrast and the other pair dark contrast. Instructions
                       for performing this operation are given at the end of the chapter.
                          Linear objects such as elongate striated muscle cells with coaxial alignments of lin-
                       ear filaments have a different appearance. In the absence of a compensator, rotation of
                       the specimen stage through 360° reveals eight angular azimuths at which the muscle
                       cells alternately appear bright (45°, 135°, 225°, and 315°) or dark (0°, 90°, 180°, 270°);
                       with a compensator present, there are four azimuths at 45°, 135°, 225°, and 315° at
                       which the object alternately appears light or dark with respect to the background.



                       PRINCIPLES OF ACTION OF RETARDATION PLATES
                       AND THREE POPULAR COMPENSATORS

                       With the addition of a retardation plate or compensator, the polarizing microscope
                       becomes an analytical instrument that can be used to determine the relative retardation
                       between the O and E waves introduced by a birefringent specimen. Since     t (n 	 n ),
                                                                                      e
                                                                                          o
                       either the birefringence or the thickness of a specimen can be determined if the other
                       parameter is known (see Chapter 8). An excellent description of the action of compen-
                       sators is given by Pluta (1993).
                          Transparent plates of birefringent materials such as quartz, mica, or plastic that
                       introduce a fixed amount of retardation between the O- and E-ray pairs are called retar-
                       dation plates or retarders. Retarders are prepared at a certain thickness and with the
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