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Resolution

A measure of the mass spectrometer's ability to distinguish between ions with similar m/z values, impacting peak separation.

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The statement of the theorem

The resolution

R

of a mass spectrometer is defined as the ratio of the measured mass

m

to the full width at half maximum (FWHM) of the peak function

\mathcal{P}(m)

at that mass:\n

R = \frac{m}{\Delta m_{1/2}}

\nFor a Gaussian peak profile,

\mathcal{P}(m) = A \exp\left(-\frac{(m - m_0)^2}{2\sigma^2}\right)

, the resolution is mathematically related to the standard deviation

\sigma

by:\n

R = \frac{2\sqrt{2\ln 2} \cdot m}{\sigma}

Source: Wikipedia