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Elementary and advanced quantum mechanical treatment of description of nuclear magnetic resonance and relaxation.
Last update: T_KFNT (23.05.2003)
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Elementary and advanced quantum mechanical treatment of description of nuclear magnetic resonance and relaxation. Last update: T_KFNT (11.04.2008)
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Credit is awarded for active participation in exercises and for assigned homeworks. Obtaining the credit is a condition for admission to the exam. The course ends with an oral exam. Last update: Chlan Vojtěch, doc. RNDr., Ph.D. (26.05.2020)
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Literature
C.P.Slichter, Principles of magnetic resonance, Springer 1990 M.Goldman, Quantum Description of High Resolution NMR in Liquids, Oxford Univ. Press 2002 ? M.H.Levitt, Spin Dynamics, Wiley 2001 T.C.Farrar, J.E.Harriman, Density Matrix Theory and Its Applications in NMR Spectroscopy, The Farragut Press 1991 G.D.Mateescu, A.Valeriu, 2D NMR Density Matrix and Product Operator Treatment, A Solomon Press Book 1993 P.J.Hore, J.A.Jones, S.Wimperis, NMR:The Toolkit, Oxford Sci.Publ. 2000
Last update: Chlan Vojtěch, doc. RNDr., Ph.D. (26.05.2020)
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The exam is oral, the questions are asked according to the syllabus, the requirements correspond to the scope of the subject. The exam may also include a presentation of the solution to the problem. Credit is a condition for the exam. Last update: Chlan Vojtěch, doc. RNDr., Ph.D. (26.05.2020)
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1. Introduction
Nuclear spin and magnetic moment. Zeeman splitting. Energetic levels, resonant transitions, Larmor frequency. Population. 2. Properties of spin operators Commutation relations. Matrices of spin operators. Rotation operators. Examples of manipulation of spin operators. 3. Quantum statistical mechanics treatment Quantum statistic ensemble. Density matrix. Evolution equation for the density matrix. Time evolution of a mean value of a physical quantity. Density matrix at thermal equilibrium. Description of Zeeman interaction, effect of radiofrequency field, chemical shift, indirect coupling. Free precession signal. 4. 2D spectroscopy Double Fourier transform method. J spectroscopy homo- and heteronuclear. Correlation spectroscopy hetero-, homonuclear (COSY). Polarisation transfer, enhanced spectroscopy of low sensitivity nuclei. 5. Multiple quantum coherence Correspondence of k-quantum coherence to density matrix elements. Methods of production of mult-Q coherence, evolution period, conversion, observation with mode separation. Multiquantum filtered COSY. 6. Applications Indirect interaction in 13C pair spins. INADEQUATE (1D, 2D versions). Cross-relaxation spectrometry NOESY. 7. Introduction to the product operator formalism Basic product operators, evolution in the formalism. 8. Examples and exercises Last update: T_KFNT (23.05.2003)
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