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guide to thin section microscopy - Mineralogical Society of America

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Guide <strong>to</strong> Thin Section Microscopy<br />

Conoscopy<br />

4.2.5.3 Optically uniaxial minerals<br />

For the optically uniaxial mineral species a net <strong>of</strong> meridional and latitudinal circles, which<br />

has rotational symmetry, forms the spherical surface <strong>of</strong> the skiodrome (Fig. 4-49). The<br />

meridians represent the vibration directions <strong>of</strong> the E-waves and the circles <strong>of</strong> latitude the O-<br />

waves. The optic axis A is the rotation axis <strong>of</strong> the net.<br />

Crystal <strong>section</strong>s perpendicular <strong>to</strong> the optic axis A are recognised in orthoscopic view by<br />

their isotropic behaviour. In conoscopic view, these <strong>section</strong>s show a characteristic interference<br />

figure which is a black cross. The isogyres become broader <strong>to</strong>wards the margin <strong>of</strong> the<br />

field <strong>of</strong> view, and the four sec<strong>to</strong>rs are filled by concentric coloured circles. The optic axis<br />

forms the centre (mela<strong>to</strong>pe) <strong>of</strong> the cross (Figs. 4-49,51,52). If the microscope stage is turned,<br />

the interference figure does not change.<br />

Interpretation <strong>of</strong> the interference figure<br />

The vibration directions <strong>of</strong> the O- and E-waves are orthogonal <strong>to</strong> each other and are arranged<br />

concentrically around the optic axis. In the N-S and E-W directions <strong>of</strong> the interference figure,<br />

the vibration directions coincide with the polarizer and analyzer directions. In these directions<br />

only E-W vibrating waves pass the crystal plate (O-waves along the N-S isogyre; E-waves<br />

along the E-W isogyre), but these will be blocked by the analyzer. Due <strong>to</strong> the rotational<br />

symmetry <strong>of</strong> the indicatrix (and the skiodrome net) and the particular orientation <strong>of</strong> the<br />

crystal plate (viewing direction parallel <strong>to</strong> the optic axis), the interference figure does not<br />

move or change if the stage is rotated.<br />

Raith, Raase & Reinhardt – February 2012<br />

The increase <strong>of</strong> the interference colours <strong>to</strong>wards the edge <strong>of</strong> the field <strong>of</strong> view is caused by the<br />

increase <strong>of</strong> the retardation Γ <strong>of</strong> the O-waves and E-waves from the centre [∆n = 0 in the<br />

direction <strong>of</strong> the optic axis] <strong>to</strong> the periphery, whereby the potential range <strong>of</strong> visible colours is<br />

limited by the mineral-specific maximum birefringence perpendicular <strong>to</strong> the optic axis. [∆n =<br />

|n e – n o |]. The circular arrangement <strong>of</strong> isochromes is a result <strong>of</strong> the rotational symmetry <strong>of</strong> the<br />

indicatrix and the specific crystal orientation perpendicular <strong>to</strong> the optic axis. The range <strong>of</strong> the<br />

colour spectrum (i.e, the number <strong>of</strong> isochromes) depends on birefringence and crystal plate<br />

thickness [Γ = d * (n e ' – n o )] as well as on the numerical aperture <strong>of</strong> the objective. For<br />

example, in a <strong>thin</strong> <strong>section</strong> <strong>of</strong> 25μm thickness, the interference figure <strong>of</strong> highly birefringent<br />

calcite (∆n = 0.172) comprises about six orders <strong>of</strong> interference colour, while quartz (∆n =<br />

0.009) shows first-order colours only (Fig. 4-52).<br />

In crystal <strong>section</strong>s oblique <strong>to</strong> the optic axis A, the isogyre cross shifts <strong>to</strong>wards the periphery<br />

<strong>of</strong> the field <strong>of</strong> view and moves in a circular fashion if the microscope stage is rotated. The<br />

distance <strong>of</strong> the mela<strong>to</strong>pe <strong>to</strong> the centre <strong>of</strong> the field <strong>of</strong> view reflects the tilt angle between the<br />

optic axis and the microscope axis. The E-W and N-S portions <strong>of</strong> the isogyre cross move<br />

through the field <strong>of</strong> view without rotation (Fig. 4-51 B,C).<br />

Crystal <strong>section</strong>s parallel <strong>to</strong> the optic axis show maximum birefringence in orthoscopic view.<br />

The conoscopic interference figure shows a broad black cross which, at minimal rotation <strong>of</strong><br />

the stage, quickly opens up ("flash figure“, Fig. 4-51D). Due <strong>to</strong> their similarity with<br />

interference figures <strong>of</strong> optically biaxial minerals, interference figures <strong>of</strong> such orientations<br />

have no practical significance.<br />

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