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- W2063313203 abstract "In order to evaluate pole-figure measurements quantitatively, one needs the normalization factor which reduces measured intensity values to multiples of the random density. This factor may be determined experimentally by measuring the intensities of a random sample or it may be calculated by integrating over the whole pole-figure or its asymmetric unit. If pole-figure values are not available in the whole angular range <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E1><mml:mrow><mml:mn>0</mml:mn><mml:mo>≤</mml:mo><mml:mi>φ</mml:mi><mml:mo>≤</mml:mo><mml:msup><mml:mrow><mml:mn>90</mml:mn></mml:mrow><mml:mo>°</mml:mo></mml:msup></mml:mrow></mml:math> (incomplete pole-figures), then the calculation is in general much more difficult and it usually presumes the knowledge of several pole-figures. In the case of fiber textures (axial symmetry), consisting of only a few strongly preferred orientations with the crystal directions <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E2><mml:mrow><mml:msub><mml:mrow><mml:mrow><mml:mo>〈</mml:mo><mml:mrow><mml:mi>u</mml:mi><mml:mi>v</mml:mi><mml:mi>w</mml:mi></mml:mrow><mml:mo>〉</mml:mo></mml:mrow></mml:mrow><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math> parallel to the axis of symmetry, the normalization factor and hence the volume fractions of the components i may be calculated in a rather simple way requiring only one, possibly incomplete, pole figure." @default.
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- W2063313203 date "1979-01-01" @default.
- W2063313203 modified "2023-10-04" @default.
- W2063313203 title "An Analytical Method for the Quantitative Determination of the Volume Fractions in Fiber Textures" @default.
- W2063313203 doi "https://doi.org/10.1155/tsm.3.73" @default.
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