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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Alkali feldspars: ordering, composition and optical properties

Su, Shu-Chun January 1986 (has links)
For the entire alkali feldspar series, Σt₁ (total Al content in the T₁ sites, a quantitative measure of structural state or Al,Si long-range ordering) can be closely estimated from X<sub>Or</sub> (mole fraction of KAlSi₃O₈) and Y<sub>x</sub> (one half of the optic axial angle 2V<sub>x</sub>) by use of a simple determinative diagram based on the model Σt₁ = (b₀ + b₁X<sub>Or</sub> + b₂X<sub>Or</sub>sin²V<sub>x</sub> + b₃sin²V<sub>x</sub>) / (a₀ + a₁X<sub>Or</sub> + a₂X<sub>Or</sub>sin²V<sub>x</sub> + a₃sin²V<sub>x</sub>). Three sets of coefficients for this equation are required to account for three cases: (A) where X<sub>Or</sub> ≤ 0.6; (B) where X<sub>Or</sub> > 0.6 and O.A.P. (optical axial plane) ~ ⊥ (010); and (C) where X<sub>Or</sub> > 0.6 and O.A.P. = (010). They are (multiplied by 1000): <table style =”width:100%”> <tr><th>Case</th><th>a₀</th><th>a₁</th><th>a₂</th><th>a₃</th><th>b₀</th><th>b₁</th><th>b₂</th><th>b₃</th></tr> <tr><td>A</td><td>4.08</td><td>-2.35</td><td>0.95</td><td>-1.28</td><td>1.52</td><td>-0.18</td><td>-1.74</td><td>2.88</td></tr> <tr><td>B</td><td>1.69</td><td>1.63</td><td>-2.33</td><td>0.69</td><td>0.11</td><td>2.17</td><td>-2.70</td><td>3.46</td></tr> <tr><td>C</td><td>-1.69</td><td>-1.63</td><td>-0.70</td><td>2.38</td><td>-0.11</td><td>-2.17</td><td>-0.53</td><td>3.57</td></tr> </table> Tested by the data from 109 alkali feldspars in the literature and the author's experiments, this model estimates Σt₁ (given X<sub>Or</sub> and V<sub>x</sub>) with a standard error of 0.02, which is essentially the same as when Σt₁ is estimated from refined lattice parameters determined by X-ray diffraction methods. The model was developed by assuming that the principal refractive indices for sodium light - symbolized as n<sub>a</sub>, n<sub>b</sub>, and n<sub>c</sub> dependent upon whether the corresponding principal vibration axis was parallel or most nearly parallel to crystallographic axes a, b and c - varied linearly with Σt₁ for the high-sanidine to low-microcline series and for the low albite to high albite (or analbite) series. However, for the high albite to high sanidine solid solution series, as well as the low albite to low microcline series, neither density nor principal refractive indices vary linearly across the entire composition range, but they closely approached linearity between 0.0 ≤ X<sub>Or</sub> < 0.6 and 0.6 < X<sub>Or</sub> ≤ 1.0. / Ph. D.

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