Abstract
The evolution of the complexity of structural determination attainable with LEED is reviewed. Considerable progress in methodologies and computers has enabled structures as complex as Cu(100) + (4 × 4)- 10Li to be solved in terms of 18 fit parameters. The Si(111)-(7 × 7) structure could now be refined in terms of 100-or-so fit parameters, if a large-enough experimental dataset were available. Big challenges remain: finding a direct or quick way to identify the one qualitatively correct structure; and, to a lesser degree, providing the required size of the experimental dataset.

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