Suppose you wanted to do scattering from a crystal, as illustrated in the figure

Question

Suppose you wanted to do scattering from a crystal, as illustrated in the figure below, with baseballs. What wavelength would you need? What momentum? What energy? Is this realistic? Comment

(b) Screen or film Incident beam (x rays or electrons) FIGURE 5-8 (a) Schematic arrangement used for producing a diffraction pattern from a polycrystalline aluminum target. (b) Diffraction pattern produced by x rays of wavelength 0.071 nm and an aluminum foil target. (C) Diffraction pattern produced by 600 eV electrons (de Broglie wavelength of about 0.05 nm) and an aluminum foil target. The pattern has been enlarged by 1.6 times to facilitate comparison with (b). [Courtesy of Film Studio, Education Development Center.) Al foil target Circular diffraction ring

Explanation / Answer

Here we should use the wavelength of beam which is comaparable to the dimension of the target used. For example if the dimension of the target is 1nm then we can use the beam having wavelength equal or less than 1nm.

The second thing is energy. Since energy and momentum depends on the wavelength of the beam hence they will autometically decided by the beam and its wavelength. That's why we can use here X-ray as well as electron beam. Since electron beam has the wavelength less than that of X-rays.

I hope it will help you!

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