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Magnetic Resonance and Bloch Equations

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Contributed by: Gianni Di Domenico (Université de Neuchâtel) and Antoine Weis (Université de Fribourg) (May 2008)
Open content licensed under CC BY-NC-SA

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The time evolution of the magnetization of an ensemble of magnetic moments in a magnetic field is described by the Bloch equations,

Inserting into the Bloch equations yields

In the Demonstration, we set , so all frequencies and relaxation rates are expressed in units of . The time unit is therefore and the total time is equivalent to the number of Larmor cycles.

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