NMR Homework - 1 a What is E(the resonance energy for 1H in...

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1. a. What is ΔE (the resonance energy) for 1 H in a 9.4 Tesla magnet? for 13 C? for 15 N? (γ 1H = 42.576 MHz T -1 , γ 13C = 10.705 MHz T -1 , γ 15N = -4.316 MHz T -1 ) b. What does this imply about the signal strength for each nucleus? 2. What sampling rate would you need to fully characterize a spectrum ranging from 0 - 10 ppm on a 500 MHz spectrometer? 3. Explain why exponential multiplication of a FID can increase S/N or resolution, but not both simultaneously. 4. Given this simple molecule, sketch a predicted 1H NMR spectrum including relative chemical shift (qualitative), number of splittings due to j-coupling, and integration values. 5. In solid state NMR the dipolar coupling is fully present and broadens spectra significantly. This coupling takes the form 2 3 1 3cos 4 I S IS z z IS D I S r γ γ θ π = - planckover2pi where Θ is the angle between the internuclear vector and the applied magnetic field. A trick used to artificially average away this contribution to the spectrum is to spin the sample around an axis at a “magic angle” to B 0 .
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Given the mathematical form of dipolar coupling, what should the magic angle be?
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