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Controlling Coherence Using the Internal Structure of Hard<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi></mml:math>Pulses
The tiny difference between hard $\ensuremath{\pi}$ pulses and their delta-function approximation can be exploited to control coherence. Variants on the magic echo that work despite a large spread in resonance offsets are demonstrated using the zeroth- and first-order average Hamiltonian terms, for $^{13}\mathrm{C}$ NMR in $^{60}\mathrm{C}$. The $^{29}\mathrm{Si}$ NMR linewidth …