Method for determining a set of grating parameters for the holographic production of a diffraction grating which has a toroidal grating substrate, for a VUV spectrometer configuration, in which - the wavelength range to be observed and - the detector measurement are specified, and wherein the set of grating parameters comprises, in addition to the specified laser wavelength λ L for the holographic illumination, - the small radius and the large radius of the toroidal grating substrate (ρ and R), - the two distances of the two holographic illumination points from the grating origin (r e and r d), and - the angular position of the holographic illumination points relative to the grating normal (γ and δ), and wherein the following spectrometer parameters are firstly specified as boundary conditions i. the measurements of the inlet gap, ii. the distance L A of the inlet gap from the grating origin, iii. distance R so from the grating origin to the meridional focus of zero order, wherein the line density of the grating does not exceed 2500 per mm, iv. the incident angle and the angle of reflection of the radiation relative to the grating normal, v. the position and angular position of the detector, wherein light of the first order from the grating falls upon the detector, vi. width and height of the diffraction grating, wherein a) the large radius R of the toroidal grating substrate is determined from the meridional focus condition of zero order, b) the small radius ρ of the toroidal grating substrate, the line density G at the grating centre point and the wavelength λ m at the detector centre point are iteratively determined using the grating equation and using the sagittal focus condition for the first diffraction order, c) of the remaining four variables, namely the distances of the two holographic illumination points from the grating origin (r e and r d) and their angular positions relative to the grating normal (γ and δ), one of the two angles (γ) is eliminated based upon the mean line count of the grating, d) the minimum of the value Δλ, the mean line width at the detector over all wavelengths of the wavelength range to be observed, is determined iteratively as a function of the three remaining variables (distances r c, r D and angle δ), wherein the set of variables r c, r D and δ is considered a solution for which Δλ takes an absolute minimum. - the wavelength range to be observed and - the detector measurement are specified, - the small radius and the large radius of the toroidal grating substrate (ρ and R), - the two distances of the two holographic illumination points from the grating origin (r e and r d), and - the angular position of the holographic illumination points relative to the grating normal (γ and δ), i. the measurements of the inlet gap, ii. the distance L A of the inlet gap from the grating origin, iii. distance R so from the grating origin to the meridional focus of zero order, wherein the line density of the grating does not exceed 2500 per mm, iv. the incident angle and the angle of reflection of the radiation relative to the grating normal, v. the position and angular position of the detector, wherein light of the first order from the grating falls upon the detector, vi. width and height of the diffraction grating, a) the large radius R of the toroidal grating substrate is determined from the meridional focus condition of zero order, b) the small radius ρ of the toroidal grating substrate, the line density G at the grating centre point and the wavelength λ m at the detector centre point are iteratively determined using the grating equation and using the sagittal focus condition for the first diffraction order, c) of the remaining four variables, namely the distances of the two holographic illumination points from the grating origin (r e and r d) and their angular positions relative to the grating normal (γ and δ), one of the two angles (γ) is eliminated based upon the mean line count of the grating, d) the minimum of the value Δλ, the mean line width at the detector over all wavelengths of the wavelength range to be observed, is determined iteratively as a function of the three remaining variables (distances r c, r D and angle δ), wherein the set of variables r c, r D and δ is considered a solution for which Δλ takes an absolute minimum.