Ernst angle

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The Ernst angle is the tip angle for a particular spin that will yield the maximum signal in the least amount of time when signal averaging over many transients. The the following equation relates the Ernst angle, theta, to the experimental interpulse delay, d1; the duration of the fid acquisition, at; and the T1 relaxation time of the spin in question, T1:

cos(theta) = e^-(d1+at)/T1

This relationship was developed by Richard Ernst, winner of the 1991 Nobel Prize in Chemistry.

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