US Patent 7851746 Calibration curves for time-of-flight mass spectrometers

The invention relates to determining the masses from the time-of-flight values of ions in time-of-flight mass spectrometers where the accelerating voltage for the ions is not applied permanently, but is switched on at a certain time, resulting in a temporally changing acceleration for a short time after the voltage has been switched on. An aspect of the invention includes formally describing the effect of the temporally changing acceleration on the calibration curve—an effect which cannot be subjected to a strict mathematical-analytical calculation—by introducing a “reduced mass” m−m0 instead of the mass m. The mass reduction factor m0 does not describe a real mass difference, but a mass-dependent shortfall in the final kinetic energy after the ions have passed through the acceleration, a shortfall which can be observed with the temporally changing acceleration. This surprisingly simple formalism makes it possible to calculate the mass of the ions over a wide mass range and with an accuracy of approximately one part per million of the mass, using a calibration curve containing only four to six calibrated coefficients.