Application of the Projection Operator Technique to the Study of NMR Line Shape and Free Induction Decay Curve

NMR 吸收線 모양과 誘導磁氣自由減衰曲線 硏究에의 投影演算子法의 應用

  • Lee Jo W. (Department of Chemistry, College of Natural Sciences, Seoul National University) ;
  • Sung Nak Jun (Korea Atomic Energy Research Institute.)
  • 이조웅 (서울大學校 自然科學大學 化學科) ;
  • 성낙준 (韓國原子力硏究所)
  • Published : 1977.10.30

Abstract

In this paper application of the projection operator technique to the study of NMR absorption line shape and free induction decay curve is explored. It is found that the projection operator technique can provide a convenient means for deriving a set of hierarchy equations which may serve as a good starting point for theoretical calculation of the absorption line and free induction decay function by successive approximation or by an appropriate decoupling approximation. A brief review of linear response theory of NMR line shape and the relation between the absorption line shape and free induction decay function are also described.

이 論文에서는 NMR 吸收線과 FID 曲線의 모양을 硏究함에 있어서의 projection operation의 應用法을 探索하였다. 이 projection operator法은 NMR 吸收線과 FID 函數를 硏究하는데에 基礎가 되는 한 벌의 hierarchy equation들을 誘導하는데에 便利한 手段이 됨을 밝혔다. 逐次近似法이나 적당한 decoupling 近似를 쓰면 이들 方程式은 NMR 吸收線이나 FID 函數를 理論的으로 計算하는데에 좋은 出發點이 될 수 있을 것이다. NMR 吸收線에 對한 간단한 linear response theory의 考察과 吸收線과 FID 函數間의 關係도 記述하였다.

Keywords

References

  1. Phys. Rev. v.74 J. H. Van Vleck
  2. Phys. Rev. v.107 I. J. Lowe;R. E. Norberg
  3. Proc. Phys. Soc. (London) v.86 S. Clough;I. R. McDonald
  4. Phys. Rev. Lett. v.24A W. A. B. Evans;J. G. Powles
  5. Phys. Rev. v.143 J. A. Tjon
  6. Phys. Rev. v.151 P. Mansfield
  7. Physica v.35 P. Borckmans;D. Walgraef
  8. Phys. Rev. v.167 P. Borckmans;D. Walgraef
  9. Phys. Rev. v.187 P. Borckmans;D. Walgraef
  10. Phys. Rev. v.187 P. Borckmans;D. Walgraef
  11. Phys. Rev. v.151 P. Resibois;M. De Leener
  12. Phys. Rev. v.151 M. De Leener;P. Resibois
  13. J. Chem. Phys. v.33 R. Zwanzig
  14. Phys. Rev. v.175 R. S. Wilson;W. T. King;S. K. Kim
  15. Advances in Chemical Physics v.XVII W. L. Greer;S. A. Rice;I. Prigogine(ed.);S. A. Rice(ed.)
  16. Phys. Rev. v.B6 C. H. Wang;J. D. Ramshaw
  17. Introduction to Quantum Mechanics R. H. Dicke;J. P. Wittke
  18. Principles of Nuclear Magnetism A. Abragam
  19. op. cit. A. Abragam
  20. op. cit. A. Abragam
  21. Principles of Magnetic Resonance C. P. Slichter
  22. Advances in Chemical Physics v.XV R. Kubo;Shuler(ed.)