You are performing diffraction grating spectroscopy on sodium.Say your diffracti

Question

You are performing diffraction grating spectroscopy on sodium.Say your diffraction grating has 600 lines per mm (which can beused to calculate the spacing between lines). Say you align theequipment so that the central peak is located at 0.00 degrees onthe scale. Show all work. What is the angular separation betweenthe first-order D lines? Express your answer in degrees. (That is,calculate the angle for the first order (3P1/2 to3S1/2) transition line and the first order)3P3/2 to 3S1/2) transition line, and thentake the difference between these.) I need help finding the equation and determining what to pluginto it. I don't know exactly what values to use for the transitionlines. You are performing diffraction grating spectroscopy on sodium.Say your diffraction grating has 600 lines per mm (which can beused to calculate the spacing between lines). Say you align theequipment so that the central peak is located at 0.00 degrees onthe scale. Show all work. What is the angular separation betweenthe first-order D lines? Express your answer in degrees. (That is,calculate the angle for the first order (3P1/2 to3S1/2) transition line and the first order)3P3/2 to 3S1/2) transition line, and thentake the difference between these.) I need help finding the equation and determining what to pluginto it. I don't know exactly what values to use for the transitionlines.

Explanation / Answer

   d = 1 / 6000 lines / cm
   = 1.667x10-4cm
   = 1.67x10-6m
the principal maxima in the grating is
   d sin =m
   here m = 1 and wavelength of SodiumD lines = 5890x10-10m ,5896x10-10m
   1=sin-1 ( / d )
   = sin-1 ( 5890x10-10m / 1.67x10-6 m )
   =20.6954o
     2= sin-1 ( / d)
   = sin-1 ( 5896x10-10m / 1.67x10-6 m )
   =20.7174o
Theangular separation is
      = 20.7174 - 20.6954
          = 0.02198
      
     
  

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