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Section4: An assembly of non-interacting spins

Section4: An assembly of non-interacting spins. Real systems consist of many nuclear spins. In a static magnetic field, B =B z k , there is a degeneracy of spin states. Population difference, n , is given by BOLTZMANN STATISTICS:. Boltzmann equation. Many spin system:.

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Section4: An assembly of non-interacting spins

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  1. Section4: An assembly of non-interacting spins • Real systems consist of many nuclear spins. • In a static magnetic field, B =Bzk, there is a degeneracy of spin states. • Population difference, n, is given by BOLTZMANN STATISTICS: Boltzmann equation Many spin system: All spins have the same precession frequency,wl=gBz BUT random phases. So Mx and My = 0, and net magnetisation is in z-direction. Bz a M b

  2. Magnetic Resonance: Lecture 5: 4) An ensemble of spins 4.2 Effect of B fields on ensemble of spins (p 31 & p258 Levitt) 4.3 Bloch equations 4.4 The NMR Signal 4) The NMR Spectrometer

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