110406 - Magnetic resonance (Chapter 14 539-554) Nuclear...

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1 CHM3400 - Lecture 34 Apr 6 Magnetic resonance (Chapter 14 539-554) Nuclear magnetic resonance Gyromagnetic ratio, Larmor frequency Sensitivity Chemical shift and splitting Magnetic resonance imaging Electron spin resonance
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2 Nuclear magnetic resonance (NMR) Nuclear spin I (0, ½ , 1, etc) Nucleus can adopt (2I+1) spin orientations e.g. for 1 H I = ½ 2 orientations: +½ and -½ In the absence of a magnetic field, both spin states are degenerate
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3 Energy splitting π γ 2 0 h B E = Δ Gyromagnetic ratio Magnetic field Planck’s constant Larmor frequency: ω = γ B 0 (rad s -1 ) ν = ω /2 π (s -1 )
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4 Low sensitivity of NMR Energy gap Specific for each nucleus ) ( 10 33 . 1 ) ( 10 626 . 6 ) ( 10 200 2 25 34 6 0 J Js Hz h h B E = = = = Δ ν π γ For 4.7 T, 200 MHz frequency Energy gap ) ( 10 65 . 2 ) ( 10 626 . 6 ) ( 10 400 2 25 34 6 0 J Js Hz h h B E = = = = Δ For 9.4 T, 400 MHz frequency Small energy gap
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5 Boltzmann distribution
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110406 - Magnetic resonance (Chapter 14 539-554) Nuclear...

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