Chapter 7: Problem 21
Distinguish among (a) a spectroscope, (b) a spectrograph, and (c) a spectrophotometer.
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Chapter 7: Problem 21
Distinguish among (a) a spectroscope, (b) a spectrograph, and (c) a spectrophotometer.
These are the key concepts you need to understand to accurately answer the question.
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A monochromator has a focal length of \(1.6 \mathrm{m}\) and a collimating mirror with a diameter of \(3.5 \mathrm{cm} .\) The dispersing device was a grating with 1500 lines/mm. For first-order diffraction, (a) what is the resolving power of the monochromator if a collimated beam illuminated \(3.2 \mathrm{cm}\) of the grating? (b) what are the first-and second-order reciprocal linear dispersion's of the monochromator?
A monochromator with a focal length of \(0.75 \mathrm{m}\) was equipped with an echellette grating with 3000 blazes per millimeter. (a) Calculate the reciprocal linear dispersion of the instrument for first- order spectra. (b) If \(2.0 \mathrm{cm}\) of the grating were illuminated, what is the first- order resolving power of the monochromator? (c) At approximately \(400 \mathrm{nm},\) what minimum wavelength difference could in theory be completely resolved by the instrument?
Describe the differences and similarities between spontaneous and stimulated emission.
Why do quantitative and qualitative analyses often require different monochromator slit widths?
Consider an IR grating with 90.0 lines per millimeter and \(15.0 \mathrm{mm}\) of illuminated area. Calculate the first-order resolution \((\lambda / \Delta \lambda)\) of this grating. How far apart (in \(\mathrm{cm}^{-1}\) ) must two lines centered at \(1200 \mathrm{cm}^{-1} \mathrm{be}\) if they are to be resolved?
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