Determination and interpretation of preferred orientation with texture goniometry : An application of indicators to maximum entropy pole- to orientation-density inversion
Identifieur interne : 002835 ( Main/Exploration ); précédent : 002834; suivant : 002836Determination and interpretation of preferred orientation with texture goniometry : An application of indicators to maximum entropy pole- to orientation-density inversion
Auteurs : H. Schaeben [Allemagne] ; H. Siemes [Allemagne]Source :
- Mathematical geology [ 0882-8121 ] ; 1996.
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- Pascal (Inist)
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- topic : Analyse quantitative.
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Abstract
The probability density function of orientations of crystals generally cannot be measured directly without destruction of the specimen. Therefore it is usual practice to sample pole density functions of several crystal forms in diffraction experiments with a texture goniometer. Determining a reasonable orientation density function from experimental pole density functions is then the crucial prerequisite of quantitative texture analysis. This mathematical problem may be addressed as a tomographic inversion problem specified by the crystal and statistical specimen symmetries and the properties of the diffraction experiment. Its solution with maximum entropy preferred orientation portion and maximum uniform portion is proposed because it yields the most conservative orientation density function with systematically reduced correlation effects, thus avoiding artificial texture "ghost" components caused by the specific properties of the diffraction experiment.
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Schaeben</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>Department of Mineralogy, University of Technology Aachen, Templergraben 55</s1><s2>52056 Aachen</s2><s3>DEU</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>Allemagne</country><placeName><region type="land" nuts="1">Rhénanie-du-Nord-Westphalie</region><region type="district" nuts="2">District de Cologne</region><settlement type="city">Aix-la-Chapelle</settlement></placeName></affiliation></author><author><name sortKey="Siemes, H" sort="Siemes, H" uniqKey="Siemes H" first="H." last="Siemes">H. Siemes</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>Department of Mineralogy, University of Technology Aachen, Templergraben 55</s1><s2>52056 Aachen</s2><s3>DEU</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>Allemagne</country><placeName><region type="land" nuts="1">Rhénanie-du-Nord-Westphalie</region><region type="district" nuts="2">District de Cologne</region><settlement type="city">Aix-la-Chapelle</settlement></placeName></affiliation></author></analytic><series><title level="j" type="main">Mathematical geology</title><title level="j" type="abbreviated">Math. geol.</title><idno type="ISSN">0882-8121</idno><imprint><date when="1996">1996</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Mathematical geology</title><title level="j" type="abbreviated">Math. geol.</title><idno type="ISSN">0882-8121</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Case study</term><term>Density function</term><term>Goniometry</term><term>Inverse problem</term><term>Method of maximum entropy</term><term>Polycrystal</term><term>Preferred orientation</term><term>Quantitative analysis</term><term>Quartzites</term><term>Texture analysis</term><term>Tomography</term><term>fabric</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Quartzite</term><term>Fabrique</term><term>Analyse texture</term><term>Orientation préférentielle</term><term>Goniométrie</term><term>Fonction densité</term><term>Méthode entropie maximum</term><term>Problème inverse</term><term>Tomographie</term><term>Analyse quantitative</term><term>Polycristal</term><term>Etude cas</term></keywords><keywords scheme="Wicri" type="topic" xml:lang="fr"><term>Analyse quantitative</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The probability density function of orientations of crystals generally cannot be measured directly without destruction of the specimen. Therefore it is usual practice to sample pole density functions of several crystal forms in diffraction experiments with a texture goniometer. Determining a reasonable orientation density function from experimental pole density functions is then the crucial prerequisite of quantitative texture analysis. This mathematical problem may be addressed as a tomographic inversion problem specified by the crystal and statistical specimen symmetries and the properties of the diffraction experiment. Its solution with maximum entropy preferred orientation portion and maximum uniform portion is proposed because it yields the most conservative orientation density function with systematically reduced correlation effects, thus avoiding artificial texture "ghost" components caused by the specific properties of the diffraction experiment.</div></front></TEI><affiliations><list><country><li>Allemagne</li></country><region><li>District de Cologne</li><li>Rhénanie-du-Nord-Westphalie</li></region><settlement><li>Aix-la-Chapelle</li></settlement></list><tree><country name="Allemagne"><region name="Rhénanie-du-Nord-Westphalie"><name sortKey="Schaeben, H" sort="Schaeben, H" uniqKey="Schaeben H" first="H." last="Schaeben">H. Schaeben</name></region><name sortKey="Siemes, H" sort="Siemes, H" uniqKey="Siemes H" first="H." last="Siemes">H. Siemes</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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