A beam of electrons with kinetic energy 350 eV is incident normal to the surface of a KC1 crystal that has been cut so that the spacing d between adjacent atoms in the planes parallel to the surface is 0.315 nm. (a) There are multiple diffraction peaks from this scattering corresponding to different inte- gers n in the Bragg condition. Show that there is a maximum n above which diffraction peaks are not possible, and find this integer nmax. (b) Calculate the angles at which diffraction peaks will occur for all orders that are possible.
A beam of electrons with kinetic energy 350 eV is incident normal to the surface of a KC1 crystal that has been cut so that the spacing d between adjacent atoms in the planes parallel to the surface is 0.315 nm. (a) There are multiple diffraction peaks from this scattering corresponding to different inte- gers n in the Bragg condition. Show that there is a maximum n above which diffraction peaks are not possible, and find this integer nmax. (b) Calculate the angles at which diffraction peaks will occur for all orders that are possible.
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Transcribed Image Text:**Electron Diffraction on KCl Crystal Surface**
A beam of electrons with kinetic energy of 350 eV is directed normal to the surface of a KCl crystal. The crystal is structured such that the spacing (\(d\)) between adjacent atoms in the planes parallel to the surface is 0.315 nm.
**(a)** The diffraction peaks resulting from electron scattering correspond to different integers \(n\) in the Bragg condition. Determine the maximum integer \(n\) for which diffraction peaks can occur, and find this maximum integer \(n_{\text{max}}\).
**(b)** Calculate the angles \(\theta\) at which diffraction peaks will occur for all possible orders.
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