“…[33], [36], [37], [40], [51]) and of the areal number density (e.g. [27]- [37], [40], [41], [52]) from a fit to the experimental datawithout any calibration requirements. It requires, however, a good knowledge of the response functionof the TOF-spectrometer, a model to account for the Doppler broadening and an experimentaltransmission which does not suffer from bias effects due to background contributions, dead time effectsor detector instabilities.The empirical analysis utilized in the present study was intended to demonstrate the possibility of temperature mapping with relatively high spatial resolution in a realistic experimental setup.The challenge of fitting nearly a quarter million spectra required for the spatially resolved temperature mapping is addressed in our study by fitting a simplified empirical function (equations3 and 4).…”