Self-consistent solution of the reflection diffraction problem

A general method of solving the reflection diffraction problem for high-energy electrons (and, in principle, also for X-rays) is described. The method exploits the multislice method of calculating electron diffraction in transmission through a crystal as an unconditionally convergent method of solving Schrödinger's equation for reflection electron diffraction. The method is self-consistent in that it necessarily converges with an internal consistency test. Examples are given for the use of the method to calculate RHEED patterns from the gold (110) 2×1 reconstruction and oxygen adsorbed on gold.