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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 />

Measuring angles<br />

2. Measuring angles, lengths and thicknesses<br />

2.1 Measurement <strong>of</strong> angles<br />

The determination <strong>of</strong> an unknown mineral or the determination <strong>of</strong> the composition <strong>of</strong> a solid<br />

solution may require measuring an angle between two specific linear or planar features. Such<br />

features include crystal faces, cleavage planes, twin planes and vibration directions.<br />

With the help <strong>of</strong> angles between cleavage sets, pyroxenes can be distinguished from<br />

amphiboles, for example. Of even greater importance is the determination <strong>of</strong> angles between<br />

mineral planes and optical vibration directions (Ch. 4.2.4).<br />

Angles are determined using a polarized-light microscope with a 360˚ scale on the rotating<br />

stage. Furthermore, a reference direction is required which is provided by the crosshairs in the<br />

ocular. A prerequisite for a precise measurement is exact centring <strong>of</strong> the microscope and the<br />

use <strong>of</strong> a higher-magnification objective with a small depth <strong>of</strong> field. For the determination <strong>of</strong><br />

angles between cleavage sets, the analyzer should be out <strong>of</strong> the light path.<br />

Ideally the angle between cleavage planes, crystal faces etc. is measured on a grain or a grain<br />

domain where both planes are parallel <strong>to</strong> the viewing direction. If the <strong>thin</strong> <strong>section</strong> is<br />

defocused, whereby the aperture diaphragm is partially closed <strong>to</strong> obtain a sufficiently high<br />

contrast, fringes <strong>of</strong> equal brightness appear on both sides <strong>of</strong> the traces <strong>of</strong> such planes and<br />

migrate outwards in a symmetric fashion. Such an ideal grain orientation is rarely realised in<br />

<strong>thin</strong> <strong>section</strong>, though, and it is sufficient <strong>to</strong> find grains in which the traces <strong>of</strong> the cleavage<br />

planes appear as <strong>thin</strong> dark lines.<br />

For measurement, the <strong>thin</strong> <strong>section</strong> is oriented, either by hand or using a mechanical stage,<br />

such that the inter<strong>section</strong> <strong>of</strong> the traces <strong>of</strong> the planes is in the centre <strong>of</strong> the crosshairs. By<br />

rotating the stage it can be tested whether the inter<strong>section</strong> remains centred. If it moves <strong>of</strong>fcentre<br />

the objective will need <strong>to</strong> be centred. While rotating the stage avoid pressing against it<br />

unnecessarily.<br />

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

Next, cleavage set 1 is rotated such that is lies parallel <strong>to</strong> the N-S thread <strong>of</strong> the crosshairs.<br />

Then, the angle I is read from the vernier at the stage edge (Fig. 2-1, left). Now the<br />

microscope stage is rotated until the cleavage set 2 is parallel <strong>to</strong> the N-S thread <strong>of</strong> the<br />

crosshairs, and angle II is read from the vernier (Fig. 2-1, right). The difference between I and<br />

II is the angle in question.<br />

Note: If the 360˚ mark is crossed during the procedure, the two partial angles have <strong>to</strong> be<br />

added up.<br />

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