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Course, academic year 2019/2020
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Quantum Description of NMR - NFPL179
Title in English: Kvantový popis NMR
Guaranteed by: Department of Low Temperature Physics (32-KFNT)
Faculty: Faculty of Mathematics and Physics
Actual: from 2019 to 2019
Semester: both
E-Credits: 5
Hours per week, examination: 2/1 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Note: you can enroll for the course in winter and in summer semester
Guarantor: prof. RNDr. Helena Štěpánková, CSc.
RNDr. Vojtěch Chlan, Ph.D.
Annotation -
Last update: T_KFNT (23.05.2003)
Elementary and advanced quantum mechanical treatment of description of nuclear magnetic resonance and relaxation.
Aim of the course -
Last update: T_KFNT (11.04.2008)

Elementary and advanced quantum mechanical treatment of description of nuclear magnetic resonance and relaxation.

Course completion requirements - Czech
Last update: prof. RNDr. Helena Štěpánková, CSc. (10.06.2019)

Předmět se zakončuje ústní zkouškou. Podmínkou pro připuštění ke zkoušce je získání zápočtu. Zápočet se uděluje za aktivní účast na cvičení a za vypracování zadaných domácích úkolů.

Literature - Czech
Last update: prof. RNDr. Helena Štěpánková, CSc. (02.03.2010)

Literatura

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

Requirements to the exam - Czech
Last update: prof. RNDr. Helena Štěpánková, CSc. (09.10.2017)

Zkouška je ústní, otázky jsou kladeny dle syllabu, požadavky odpovídají rozsahu výkladu. Zkouška může zahrnovat i prezentaci řešení zadaného problému.

Zápočet je podmínkou ke zkoušce.

Syllabus -
Last update: T_KFNT (23.05.2003)
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

 
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