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Glossary
International Tables for Crystallography (2013). Vol. D, Section 1.1.6, pp. 32-33 [ doi:10.1107/97809553602060000900 ]
... space (covariant) basis vectors in reciprocal space (contravariant) components of a vector in direct space (contravariant) components of a vector in reciprocal space (covariant) components of the metric tensor components of a tensor of rank n, p times covariant and q ...
Adiabatic study
International Tables for Crystallography (2013). Vol. D, Section 1.1.5.4, p. 32 [ doi:10.1107/97809553602060000900 ]
Adiabatic study 1.1.5.4. Adiabatic study Piezoelectric resonators usually operate at a high frequency where there are no heat exchanges, and therefore ... regime . From the third equation of (1.1.5.1), we obtain a relation between the temperature variation, the applied stress and the ...
[more results from section 1.1.5 in volume D]
Independent components of symmetric axial tensors according to the following point groups
International Tables for Crystallography (2013). Vol. D, Section 1.1.4.10.7.2, pp. 30-31 [ doi:10.1107/97809553602060000900 ]
... are also symmetric. For instance, the optical rotatory power of a gyrotropic crystal in a given direction of direction cosines is proportional to a quantity G defined by (see Section 1.6.5.4 ) where the ...
[more results from section 1.1.4 in volume D]
Introduction to the properties of tensors
International Tables for Crystallography (2013). Vol. D, ch. 1.1, pp. 3-34 [ doi:10.1107/97809553602060000900 ]
... intensive quantities | | Physical laws express in general the response of a medium to a certain influence. Most physical properties may therefore be defined by a relation coupling two or more measurable quantities. For instance, ...
Development of a vector function in a Taylor series
International Tables for Crystallography (2013). Vol. D, Section 1.1.3.8.4, p. 10 [ doi:10.1107/97809553602060000900 ]
Development of a vector function in a Taylor series 1.1.3.8.4. Development of a vector function in a Taylor series Let be a ...
[more results from section 1.1.3 in volume D]
Properties of the metric tensor
International Tables for Crystallography (2013). Vol. D, Section 1.1.2.4.3, pp. 6-7 [ doi:10.1107/97809553602060000900 ]
... the metric tensor 1.1.2.4.3. Properties of the metric tensor In a change of basis, following (1.1.2.3) and (1.1.2.5), the 's transform ... Using (1.1.2.11) and (1.1.2.13), it can be shown that In a change of basis, following (1.1.2.16), the 's transform according to ... the direct and reciprocal spaces are also inverse, which is a very well known result in crystallography. References International Tables ...
[more results from section 1.1.2 in volume D]
Onsager relations
International Tables for Crystallography (2013). Vol. D, Section 1.1.1.5, p. 5 [ doi:10.1107/97809553602060000900 ]
... can be written where the intensive parameters are, for instance, a temperature gradient, a concentration gradient, a gradient of electric potential. The corresponding extensive parameters are ...
[more results from section 1.1.1 in volume D]
International Tables for Crystallography (2013). Vol. D, Section 1.1.6, pp. 32-33 [ doi:10.1107/97809553602060000900 ]
... space (covariant) basis vectors in reciprocal space (contravariant) components of a vector in direct space (contravariant) components of a vector in reciprocal space (covariant) components of the metric tensor components of a tensor of rank n, p times covariant and q ...
Adiabatic study
International Tables for Crystallography (2013). Vol. D, Section 1.1.5.4, p. 32 [ doi:10.1107/97809553602060000900 ]
Adiabatic study 1.1.5.4. Adiabatic study Piezoelectric resonators usually operate at a high frequency where there are no heat exchanges, and therefore ... regime . From the third equation of (1.1.5.1), we obtain a relation between the temperature variation, the applied stress and the ...
[more results from section 1.1.5 in volume D]
Independent components of symmetric axial tensors according to the following point groups
International Tables for Crystallography (2013). Vol. D, Section 1.1.4.10.7.2, pp. 30-31 [ doi:10.1107/97809553602060000900 ]
... are also symmetric. For instance, the optical rotatory power of a gyrotropic crystal in a given direction of direction cosines is proportional to a quantity G defined by (see Section 1.6.5.4 ) where the ...
[more results from section 1.1.4 in volume D]
Introduction to the properties of tensors
International Tables for Crystallography (2013). Vol. D, ch. 1.1, pp. 3-34 [ doi:10.1107/97809553602060000900 ]
... intensive quantities | | Physical laws express in general the response of a medium to a certain influence. Most physical properties may therefore be defined by a relation coupling two or more measurable quantities. For instance, ...
Development of a vector function in a Taylor series
International Tables for Crystallography (2013). Vol. D, Section 1.1.3.8.4, p. 10 [ doi:10.1107/97809553602060000900 ]
Development of a vector function in a Taylor series 1.1.3.8.4. Development of a vector function in a Taylor series Let be a ...
[more results from section 1.1.3 in volume D]
Properties of the metric tensor
International Tables for Crystallography (2013). Vol. D, Section 1.1.2.4.3, pp. 6-7 [ doi:10.1107/97809553602060000900 ]
... the metric tensor 1.1.2.4.3. Properties of the metric tensor In a change of basis, following (1.1.2.3) and (1.1.2.5), the 's transform ... Using (1.1.2.11) and (1.1.2.13), it can be shown that In a change of basis, following (1.1.2.16), the 's transform according to ... the direct and reciprocal spaces are also inverse, which is a very well known result in crystallography. References International Tables ...
[more results from section 1.1.2 in volume D]
Onsager relations
International Tables for Crystallography (2013). Vol. D, Section 1.1.1.5, p. 5 [ doi:10.1107/97809553602060000900 ]
... can be written where the intensive parameters are, for instance, a temperature gradient, a concentration gradient, a gradient of electric potential. The corresponding extensive parameters are ...
[more results from section 1.1.1 in volume D]
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