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Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması

Year 2016, Volume: 42 Issue: 1, 77 - 83, 01.06.2016

Abstract

Özet: Bu çalışmada Slater-tipi dalga fonksiyonları üzerinden çok-merkezli moleküler integrallerin hesaplanmasında gerekli olan dönme matrisleri, matris formunda bir algoritma kullanılarak hesaplanmıştır. Hesaplama sonuçları dönme matrislerini içeren analitik ifade kullanılarak test edilmiş ve sonuçların duyarlı olduğu görülmüştür.

References

  • Arfken GB, Weber HJ, Harris FE (2011). Mathematical methods for physicists: A comprehensive guide, Academic press. Fock
  • V (1930). Näherungsmethode zur lösung des quantenmechanischen
  • mehrkörperproblems, Zeitschrift für Physik 61(1-2), 126–148.
  • Nechaev VV (1994). Calculation of rotation matrices for real spherical harmonics, Journal of Structural Chemistry 35(1), 115–117.
  • Roothaan CCJ (1951). New developments in molecular orbital theory, Reviews of Modern Physics 69.
  • Roothaan CCJ (1960). Self-consistent field theory for open shells of electronic systems, Reviews of Modern Physics 32(2), 179.
  • Weniger EJ, Steinborn EO (1982). Programs for the coupling of spherical harmonics, Computer Physics Communications 25(2), 149–157.

Calculation of Rotation Matrices for Real Spherical Harmonics

Year 2016, Volume: 42 Issue: 1, 77 - 83, 01.06.2016

Abstract

In this study, rotation matrices used in the evaluation of multicenter molecular integrals over Slater-type orbitals have been calculated by using an algorithm in the matrice form. Results have been tested by using an analytical expression containing rotation matrices and it have seen that results are in a good agreement with each other.

References

  • Arfken GB, Weber HJ, Harris FE (2011). Mathematical methods for physicists: A comprehensive guide, Academic press. Fock
  • V (1930). Näherungsmethode zur lösung des quantenmechanischen
  • mehrkörperproblems, Zeitschrift für Physik 61(1-2), 126–148.
  • Nechaev VV (1994). Calculation of rotation matrices for real spherical harmonics, Journal of Structural Chemistry 35(1), 115–117.
  • Roothaan CCJ (1951). New developments in molecular orbital theory, Reviews of Modern Physics 69.
  • Roothaan CCJ (1960). Self-consistent field theory for open shells of electronic systems, Reviews of Modern Physics 32(2), 179.
  • Weniger EJ, Steinborn EO (1982). Programs for the coupling of spherical harmonics, Computer Physics Communications 25(2), 149–157.
There are 7 citations in total.

Details

Other ID JA57YC85VS
Journal Section Research Articles
Authors

Erhan Akın This is me

Publication Date June 1, 2016
Submission Date June 1, 2016
Published in Issue Year 2016 Volume: 42 Issue: 1

Cite

APA Akın, E. (2016). Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, 42(1), 77-83.
AMA Akın E. Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması. sufefd. June 2016;42(1):77-83.
Chicago Akın, Erhan. “Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 42, no. 1 (June 2016): 77-83.
EndNote Akın E (June 1, 2016) Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 42 1 77–83.
IEEE E. Akın, “Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması”, sufefd, vol. 42, no. 1, pp. 77–83, 2016.
ISNAD Akın, Erhan. “Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 42/1 (June 2016), 77-83.
JAMA Akın E. Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması. sufefd. 2016;42:77–83.
MLA Akın, Erhan. “Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, vol. 42, no. 1, 2016, pp. 77-83.
Vancouver Akın E. Gerçek Küresel Harmonikler İçin Dönme Matrislerinin Hesaplanması. sufefd. 2016;42(1):77-83.

Journal Owner: On behalf of Selçuk University Faculty of Science, Rector Prof. Dr. Metin AKSOY
Selcuk University Journal of Science Faculty accepts articles in Turkish and English with original results in basic sciences and other applied sciences. The journal may also include compilations containing current innovations.

It was first published in 1981 as "S.Ü. Fen-Edebiyat Fakültesi Dergisi" and was published under this name until 1984 (Number 1-4).
In 1984, its name was changed to "S.Ü. Fen-Edeb. Fak. Fen Dergisi" and it was published under this name as of the 5th issue.
When the Faculty of Letters and Sciences was separated into the Faculty of Science and the Faculty of Letters with the decision of the Council of Ministers numbered 2008/4344 published in the Official Gazette dated 3 December 2008 and numbered 27073, it has been published as "Selcuk University Journal of Science Faculty" since 2009.
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