PHYSICS 244 . 
EXPERIMENT #2
 

 

Q.1.     From Figure 1b, prove that the path difference between the
waves scattered from adjacent planes is given by the formula,

Δ=2 d sinθi.

        How is the scattering of electromagnetic radiation by
individual metal spheres equivalent to scattering by single atoms in a
crystal?  Hint:  For both scatterers, what is responding to the
electric field of the radiation?  

 



Q.2.     If d = 4.5 cm and l = 1.5 cm, how many maxima will be
observed and at what angles?  

 

Q.3.     If the spacing between spheres in a simple cubic lattice is a
= 4.5 cm, what is the spacing between scattering planes, d, if the
cube is rotated by 45o, as in Fig. 4?  

 

Q.4.     What is the angle of rotation for the orientation of the cube
in Fig. 5 (That is, by how much was the cube rotated from the position
in Fig. 3 to obtain the orientation in Fig. 5).  

 

Q.5.     Describe briefly how diffraction through a crystal lattice
could be used to isolate a single wavelength from X-rays of many
wavelengths.  (This is the principle  behind an X-ray spectrometer.