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Bloch equations
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<p>In physics and chemistry, specifically in <a href="/facts/Nuclear_magnetic_resonance/pGYAn9Bz">nuclear magnetic resonance</a> (NMR), <a href="/facts/Magnetic_resonance_imaging/Vh9yG9qq">magnetic resonance imaging</a> (MRI), and <a href="/facts/Electron_spin_resonance/TDHV8c9e">electron spin resonance</a> (ESR), the Bloch equations are a set of macroscopic equations that are used to calculate the nuclear magnetization M = (<i>M</i><i>x</i>, <i>M</i><i>y</i>, <i>M</i><i>z</i>) as a function of time when <a href="/facts/Relaxation_(NMR)/IT2ruCcy">relaxation times</a> <i>T</i>1 and <i>T</i>2 are present. These are <a href="/facts/Empirical_research/A6cy8Rcy">phenomenological</a> equations that were introduced by <a href="/facts/Felix_Bloch/yrtqNe9a">Felix Bloch</a> in 1946. Sometimes they are called the <a href="/facts/Equations_of_motion/25msr1vE">equations of motion</a> of nuclear magnetization. They are analogous to the <a href="/facts/Maxwell%E2%80%93Bloch_equations/Rn13zanD">Maxwell–Bloch equations</a>. </p>