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The flow of radiation in a real crystal
International Tables for Crystallography (2006). Vol. C, ch. 6.4, pp. 609-616 [ doi:10.1107/97809553602060000603 ]
... refractive index of the crystal has been taken into account (Sabine & Blair, 1992). 6.4.2. The model of a real crystal ... . These equations are Here, is the radiation current density (m-2s-1) in the incident (i = initial) beam, is the ... kinematic result in the small-crystal limit for [sigma], while Sabine (1985, 1988) showed that only the Lorentzian or Fresnellian ...
Relationship with the dynamical theory
International Tables for Crystallography (2006). Vol. C, Section 6.4.14, p. 612 [ doi:10.1107/97809553602060000603 ]
... with the dynamical theory 6.4.14. Relationship with the dynamical theory Sabine & Blair have shown that the two classical limits for the ... with the results of the present theory are given by Sabine (1988) and Sabine, Von Dreele & Jørgensen (1988). References Olekhnovich, N. ...
The absorbing crystal
International Tables for Crystallography (2006). Vol. C, Section 6.4.13.3, p. 612 [ doi:10.1107/97809553602060000603 ]
... he obtained is IB = 8/3[1 - 2|g|], while Sabine & Blair (1992) found IB = 8/3[1 - 2.36|g|]. References Sabine, T. M. & Blair, D. G. (1992). The Ewald and ...
[more results from section 6.4.13 in volume C]
Anisotropy
International Tables for Crystallography (2006). Vol. C, Section 6.4.12, p. 612 [ doi:10.1107/97809553602060000603 ]
Anisotropy 6.4.12. Anisotropy The parameters describing the microstructure of the crystal are the mosaic-block size and the angle between the mosaic blocks. These are not constrained in any way to be isotropic with respect to the crystal axes. In particular, they are not constrained by symmetry. For example, in a ...
Polarization
International Tables for Crystallography (2006). Vol. C, Section 6.4.11, pp. 611-612 [ doi:10.1107/97809553602060000603 ]
Polarization 6.4.11. Polarization The expressions for the extinction factor have been given, by default, for the [sigma]-polarization state, in which the electric field vector of the incident radiation is perpendicular to the plane defined by the incident and diffracted beams. For this state, the polarization factor is unity. For the ...
The uncorrelated block model
International Tables for Crystallography (2006). Vol. C, Section 6.4.10.2, p. 611 [ doi:10.1107/97809553602060000603 ]
... of neutron diffraction data has been carried out by Kampermann, Sabine, Craven & McMullan (1995). References Kampermann, S. P., Sabine, T. M., Craven, B. M. & McMullan, R. K. (1995). ...
[more results from section 6.4.10 in volume C]
Secondary extinction
International Tables for Crystallography (2006). Vol. C, Section 6.4.9, p. 611 [ doi:10.1107/97809553602060000603 ]
... this function has a significant influence on the final result (Sabine, 1985), and a rectangular or triangular form is suggested. In ... and setting on secondary extinction. Acta Cryst. 10, 629-634. Sabine, T. M. (1985). Extinction in polycrystalline materials. Aust. J. ...
The value of x
International Tables for Crystallography (2006). Vol. C, Section 6.4.8, pp. 610-611 [ doi:10.1107/97809553602060000603 ]
The value of x 6.4.8. The value of x For the single mosaic block, application of the relationship leads to where is the average path length through the block. In the correlated block model, x is also a function of the tilts between blocks and the size of the crystal. It ...
Angular variation of E
International Tables for Crystallography (2006). Vol. C, Section 6.4.7, p. 610 [ doi:10.1107/97809553602060000603 ]
Angular variation of E 6.4.7. Angular variation of E Werner (1974) has given exact solutions to the transport equations in terms of tabulated functions. However, for the simple crystal described above, a sufficiently accurate expression is References Werner, S. A. (1974). Extinction in mosaic crystals. J. Appl. Phys. 45, 3246 ...
The finite crystal
International Tables for Crystallography (2006). Vol. C, Section 6.4.6, p. 610 [ doi:10.1107/97809553602060000603 ]
The finite crystal 6.4.6. The finite crystal Exact application of the formulae above requires a knowledge of the shape of the crystal or mosaic block and the angular relation between the reflecting plane and the crystal surface. These are not usually known, but it can be assumed that the average block ...
International Tables for Crystallography (2006). Vol. C, ch. 6.4, pp. 609-616 [ doi:10.1107/97809553602060000603 ]
... refractive index of the crystal has been taken into account (Sabine & Blair, 1992). 6.4.2. The model of a real crystal ... . These equations are Here, is the radiation current density (m-2s-1) in the incident (i = initial) beam, is the ... kinematic result in the small-crystal limit for [sigma], while Sabine (1985, 1988) showed that only the Lorentzian or Fresnellian ...
Relationship with the dynamical theory
International Tables for Crystallography (2006). Vol. C, Section 6.4.14, p. 612 [ doi:10.1107/97809553602060000603 ]
... with the dynamical theory 6.4.14. Relationship with the dynamical theory Sabine & Blair have shown that the two classical limits for the ... with the results of the present theory are given by Sabine (1988) and Sabine, Von Dreele & Jørgensen (1988). References Olekhnovich, N. ...
The absorbing crystal
International Tables for Crystallography (2006). Vol. C, Section 6.4.13.3, p. 612 [ doi:10.1107/97809553602060000603 ]
... he obtained is IB = 8/3[1 - 2|g|], while Sabine & Blair (1992) found IB = 8/3[1 - 2.36|g|]. References Sabine, T. M. & Blair, D. G. (1992). The Ewald and ...
[more results from section 6.4.13 in volume C]
Anisotropy
International Tables for Crystallography (2006). Vol. C, Section 6.4.12, p. 612 [ doi:10.1107/97809553602060000603 ]
Anisotropy 6.4.12. Anisotropy The parameters describing the microstructure of the crystal are the mosaic-block size and the angle between the mosaic blocks. These are not constrained in any way to be isotropic with respect to the crystal axes. In particular, they are not constrained by symmetry. For example, in a ...
Polarization
International Tables for Crystallography (2006). Vol. C, Section 6.4.11, pp. 611-612 [ doi:10.1107/97809553602060000603 ]
Polarization 6.4.11. Polarization The expressions for the extinction factor have been given, by default, for the [sigma]-polarization state, in which the electric field vector of the incident radiation is perpendicular to the plane defined by the incident and diffracted beams. For this state, the polarization factor is unity. For the ...
The uncorrelated block model
International Tables for Crystallography (2006). Vol. C, Section 6.4.10.2, p. 611 [ doi:10.1107/97809553602060000603 ]
... of neutron diffraction data has been carried out by Kampermann, Sabine, Craven & McMullan (1995). References Kampermann, S. P., Sabine, T. M., Craven, B. M. & McMullan, R. K. (1995). ...
[more results from section 6.4.10 in volume C]
Secondary extinction
International Tables for Crystallography (2006). Vol. C, Section 6.4.9, p. 611 [ doi:10.1107/97809553602060000603 ]
... this function has a significant influence on the final result (Sabine, 1985), and a rectangular or triangular form is suggested. In ... and setting on secondary extinction. Acta Cryst. 10, 629-634. Sabine, T. M. (1985). Extinction in polycrystalline materials. Aust. J. ...
The value of x
International Tables for Crystallography (2006). Vol. C, Section 6.4.8, pp. 610-611 [ doi:10.1107/97809553602060000603 ]
The value of x 6.4.8. The value of x For the single mosaic block, application of the relationship leads to where is the average path length through the block. In the correlated block model, x is also a function of the tilts between blocks and the size of the crystal. It ...
Angular variation of E
International Tables for Crystallography (2006). Vol. C, Section 6.4.7, p. 610 [ doi:10.1107/97809553602060000603 ]
Angular variation of E 6.4.7. Angular variation of E Werner (1974) has given exact solutions to the transport equations in terms of tabulated functions. However, for the simple crystal described above, a sufficiently accurate expression is References Werner, S. A. (1974). Extinction in mosaic crystals. J. Appl. Phys. 45, 3246 ...
The finite crystal
International Tables for Crystallography (2006). Vol. C, Section 6.4.6, p. 610 [ doi:10.1107/97809553602060000603 ]
The finite crystal 6.4.6. The finite crystal Exact application of the formulae above requires a knowledge of the shape of the crystal or mosaic block and the angular relation between the reflecting plane and the crystal surface. These are not usually known, but it can be assumed that the average block ...
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