A baseline spectral resolution of 0.05 nm in an experiment using a 0.75 meter monochromator with a 1450 groove/mm grating blazed at 22.3 is given. Under optimal conditions for first order diffraction, what slit width is required? If you needed to satisfy the Rayleigh criterion rather than achieving baseline resolution, would the slit widths need to be narrower or could they be wider?

The Rayleigh criterion is =Rf/W and spectral limited bandpass isS=Rf/W=/DW

W is the slit width, D is the angular dispersion. The blaze angle directs most of the light towards a higher order band: =dsin2