1. Nuclear Magnetic Resonance
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Nuclear Magnetic Resonance
2003
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2. Instrumental - principles
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Instrumental - principles
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3. 12/5/2018
Applications of MR
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4. Objective To Derive and to Discuss the Bloch Equation
Free precession
Diffusion
Relaxation
gradient
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5. 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)
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6. Magnetic moment in a magnetic field motional characteristics
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Magnetic moment in a magnetic field
motional characteristics
Exercise 1.2: Derive the above equation and discuss its solution
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7. Solution Larmor Equation - the basic NMR equation
w = -gB
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8. 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)
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9. SPIN QUANTUM NUMBER I FOR SOME NUCLEI
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SPIN QUANTUM NUMBER I FOR SOME NUCLEI
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10. MOTION OF m IN A ROTATING FRAME OF REFERENCEwt
w; rotation frequency of the reference frame relative to the static frame
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11. 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
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12. How can we observe an MR-signal?
Mxy = 0 !!!!!
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13. LINEAR POLARIZED FIELD (B1)
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LINEAR POLARIZED FIELD (B1)
Rf-irradiation
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14. Application of an rf-pulse along the u-direction (Why and what effect
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15. Excersize 1.5: What effect will B1have on the magnetization when on resonance ? Discuss
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