Nuclear Magnetic Resonance

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Presentation transcript:

Nuclear Magnetic Resonance 12/5/2018 Nuclear Magnetic Resonance 2003 5-Dec-18 EWH

Instrumental - principles 12/5/2018 Instrumental - principles 5-Dec-18 EWH

12/5/2018 Applications of MR 5-Dec-18 EWH

Objective To Derive and to Discuss the Bloch Equation Free precession Diffusion Relaxation gradient 5-Dec-18

12/5/2018 Characteristics of a nucleus Magnetic dipole moment (m) and angular momentum (P) m = gP Exercise 1.1: Derive the above equation (qualitatively) 5-Dec-18 EWH

Magnetic moment in a magnetic field motional characteristics 12/5/2018 Magnetic moment in a magnetic field motional characteristics Exercise 1.2: Derive the above equation and discuss its solution 5-Dec-18 EWH

Solution Larmor Equation - the basic NMR equation w = -gB 5-Dec-18

12/5/2018 Conclusion THE LARMOR EQUATION (w = gB) IS DERIVED FROM A CLASSICAL MECHANICAL APPROACH THE SPIN MOTION IS WITHIN THE MHz-RANGE (Radio-frequencies) 5-Dec-18 EWH

SPIN QUANTUM NUMBER I FOR SOME NUCLEI 12/5/2018 SPIN QUANTUM NUMBER I FOR SOME NUCLEI 5-Dec-18 EWH

MOTION OF m IN A ROTATING FRAME OF REFERENCE wt w; rotation frequency of the reference frame relative to the static frame 5-Dec-18

w0; rotational frequency of M in the static frame Exersize 1.4. Find the solution of the above equation in the rotating frame, (Note w0= -gB0) U  cos(w-w0)t V  sin(w-w0)t w0; rotational frequency of M in the static frame 5-Dec-18

How can we observe an MR-signal? Mxy = 0 !!!!! 5-Dec-18

LINEAR POLARIZED FIELD (B1) 12/5/2018 LINEAR POLARIZED FIELD (B1) Rf-irradiation 5-Dec-18 EWH

Application of an rf-pulse along the u-direction (Why and what effect 5-Dec-18

Excersize 1.5: What effect will B1have on the magnetization when on resonance ? Discuss 5-Dec-18