On the proper modes of propagation of X-rays

Saccocio, Edward J.; Zajac, Alfred

doi:10.1107/s0365110x65001056

Cited by 11 publications

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“…The corresponding eigenvectors give the ratios of the wavefield amplitudes between the diffracted and the incident beams. Each eigenvalue defines a type of wave propagation within the crystal, the so-called mode of propagation (Saccocio & Zajac, 1965). According to Pinsker (1978, p. 478) and Chang (1979), the total number, Neff, of effective modes involved in an N beam diffraction is Net r = N-NBragg for a thick crystal with about gt > 10, where g and t are the linear absorption coefficient and the crystal thickness.…”

Section: = ~ Dnex P {--2ni(kn R--vt)}mentioning

confidence: 99%

Theoretical consideration of experimental methods for X-ray phase determination using multiple diffraction

Chang¹

1982

Acta Cryst Sect A

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Previously reported experimental methods for X-ray phase determination are analyzed using the plane-wave dynamical theory of X-ray diffraction. The relation between the dispersion surface and the phases are considered as well as the influence of the crystal rotation relative to the Ewald sphere on the diffraction line profile. It is shown that the phase information obtained from the intensity of three-beam Borrmann diffraction may get lost due to crystal thickness effects.Three-beam Bragg reflections, either Umweg or Aufhellung, give optimal conditions to reveal the phases, provided that the relative rotation of the additional reciprocal-lattice point entering or leaving the Ewald sphere is known. With the exception of special situations, N-beam cases with N > 3 are found not to be suitable for phase determination, since they involve high-order phase products and thus complicate the experimental determination of the phases.

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Section: = ~ Dnex P {--2ni(kn R--vt)}mentioning

confidence: 99%

Theoretical consideration of experimental methods for X-ray phase determination using multiple diffraction

Chang¹

1982

Acta Cryst Sect A

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“…The coherent dynamical interaction among the multiply diffracted waves, which governs the diffraction intensities, has long been investigated for Borrmann (transmission) geometry (Borrmann & Hartwig, 1965;Saccocio & Zajac, 1965;Hildebrandt, 1967;Joko & Fukuhara, 1967;Ewald & Heno, 1968;Uebach & Hildebrandt, 1969;Balter, Feldman & Post, 1971;Umeno & Hildebrandt, 1975;Post, Chang & Huang, 1977;Hcfier & Aanestad, 1981;Campos & Chang, 1986; and many others), and for Renninger (reflection) geometry (Renninger, 1937;Colella, 1974;Chapman, Yoder & Colella, 1981;Chang, 1981Chang, , 1982Juretschke, 1982a, b;Hiimmer & Billy, 1982Post, 1983;Post, Nicolosi & Ladell, 1984;Shen, 1986; 0108-7673/91/010039-06503.00 Thorkildsen, 1987;and many others). Besides, the extraction of phase information from the intensity distribution of multiple diffractions has recently become one of the major themes in this particular area of research.…”

Section: Introductionmentioning

confidence: 99%