Practical Electron Microscopy and Database

An Online Book, Second Edition by Dr. Yougui Liao (2006)

Practical Electron Microscopy and Database - An Online Book

Chapter/Index: Introduction | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | Appendix

Broadening of Diffraction Peak & Phonon-Electron Scattering

As discussed in Section of Elastic Scattering of Incident Electron with an Atomic Nucleus, the crystalline specimen scatters electrons at discrete angles, named by Bragg angles. The elastic scattering is then called diffraction. However, because of atomic vibration, electrons can also undergo phonon scattering, broadening the angular width of each Bragg beam. The diffraction broadening, indicated by the width of the dark rods in Figure 4758, is due to an energy transfer of the order of kT (≈25 meV at T ≈ 300 K). This scattering, involving interaction with atomic nuclei by phonon  is often termed quasi-elastic.

Curves show the angular distribution of elastic and inelastic scattering

Figure 4758. Curves show the angular distribution of elastic and inelastic scattering, calculated for 200 keV electrons in amorphous carbon. Vertical bars represent the relative intensities of the elastic Bragg beams in crystalline diamond when the crystal axes are parallel to the incident beam. [1]

 

 

 

 

[1] Egerton, R. F., 2009. Electron energy-loss spectroscopy in the TEM, Rep. Prog. Phys. 72, 016502, 25.