90. In the experiment of Davisson and Germer, discovered the diffraction pattern of the electron beam in the reflection of the natural diffraction grating - a single crystal of nickel, it appears that in a direction making an angle α = 55 ° with the direction of the incident beam, there is a maximum reflection of the fourth order in the electron kinetic energy T = 180 eV. Determine the distance d between the atomic planes in nickel.

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)