Low-energy Electron Microscopy - Surface Diffraction

Surface Diffraction

Kinematic or elastic backscattering occurs when low energy (1-100 eV) electrons impinge on a clean, well-ordered crystalline specimen. It is assumed that each electron undergoes only one scattering event, and incident electron beam is described as a plane wave with the wavelength:


\begin{align}
\lambda = \frac{h}{\sqrt{2mE}}, \qquad \lambda=\sqrt{\frac{150}{E}}
\end{align}

Scientists use inverse space to describe the periodicity of the lattice and the interaction of the plane wave with the sample surface. In inverse (or "k-space") space, the wave vector of the incident and scattered waves are and, respectively,

and constructive interference occurs at the Laue condition:

where (h,k,l) is a set of integers and

is a vector of the reciprocal lattice.

Read more about this topic:  Low-energy Electron Microscopy

Famous quotes containing the word surface:

    I have passed down the river before sunrise on a summer morning, between fields of lilies still shut in sleep; and when, at length, the flakes of sunlight from over the bank fell on the surface of the water, whole fields of white blossoms seemed to flash open before me, as I floated along, like the unfolding of a banner, so sensible is this flower to the influence of the sun’s rays.
    Henry David Thoreau (1817–1862)