IUPAC - Ernst angle (08339)

Ernst angle

symbol:

θ_{E}

https://doi.org/10.1351/goldbook.08339

When signal averaging in a single-pulse nuclear magnetic resonance spectroscopy experiment, flip angle giving the best signal-to-noise ratio for a given combination of spin-lattice relaxation time and repetition rate.

Note:
Named after Richard Ernst. It is employed to allow the maximum signal to noise to be generated in a fixed amount of time,

\cos (θ_{E}) = e^{- (t_{d} + t_{a}) / T_{1}}

, where

t_{d}

is the interpulse delay,

t_{a}

is the acquisition time, and

T_{1}

is longitudinal relaxation time.

Source:
PAC, 2021, 93, 647. (Glossary of methods and terms used in analytical spectroscopy (IUPAC Recommendations 2019)) on page 687 [Terms] [Paper]

Citation: 'Ernst angle' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. https://doi.org/10.1351/goldbook.08339 RIS BibTex EndNote

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Ernst angle