Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results
2005 | 107 | 6 | 917-931

Article title

On the Critical Points of the Structure Amplitude for the Case of One-Dimensional Displacive Modulation

Content

Title variants

Languages of publication

EN

Abstracts

EN
The behavior of the structure amplitude is analyzed in terms of the harmonics of a modulation function for the case of one-dimensional longitudinal displacive modulation. This modulation function is given by a finite series of N sine functions. It turns out that: (1) for the large values of the amplitudes of the modulation function the structure amplitude tends to zero for the arbitrary values of the order m of the satellite reflections; (2) for certain values of the amplitudes of the modulation function the modulus of the structure amplitude assumes its maximum value and (3) for the latter case the intensity of an arbitrary satellite reflection is a function of the intensities of both the closest main reflection and the intensities of the finite set of the neighbor satellite reflections.

Keywords

EN

Year

Volume

107

Issue

6

Pages

917-931

Physical description

Dates

published
2005-06
received
2004-11-12
(unknown)
2005-01-31

Contributors

  • Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
author
  • Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
author
  • Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland

References

  • 1. P.M. de Wolff, T. Janssen, A. Janner, Acta Crystallogr. A, 37, 625, 1981
  • 2. J.M. Perez-Mato, G. Madariaga, Solid State Commun., 58, 105, 1986
  • 3. W.A. Paciorek, D. Kucharczyk, Acta Crystallogr. A, 41, 462, 1985
  • 4. I. Aramburu, G. Madariaga, J.M. Perez-Mato, Acta Crystallogr. A, 53, 334, 1997
  • 5. I. Aramburu, G. Madariaga, J.M. Perez-Mato, Acta Crystallogr. A, 53, 329, 1997
  • 6. H. Bohm, Acta Crystallogr. A, 31, 622, 1975
  • 7. W. van Aalst, J. den Hollander, W.J.A.M. Peterse, P.M. de Wolff, Acta Crystallogr. B, 32, 47, 1976
  • 8. T. Janssen, A. Janner, A. Looijenga-Vos, P.M. de Wolff, International Tables of Crystallography, Vol. c, Kluwer Academic Publ., Dordrecht 1992, p. 797
  • 9. S. van Smaalen, Ph.D. thesis, Rijksuniversiteit, Groningen 1985
  • 10. W.A. Paciorek, G. Chapuis, Acta Crystallogr. A, 50, 194, 1993
  • 11. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, Washington D.C. 1964
  • 12. G. Urban, J. Wolny, Philos. Mag., 84, 2905, 2004
  • 13. V. Guillemin, S. Sternberg, Geometrics Asymptotics, American Mathematical Society, Providence 1977

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.bwnjournal-article-appv107n604kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.