Abstract

The one-dimensional anti-phase domain structures with an out-of-step vector u = (a + b)/2 are classified into the following three kinds: (1) The complex out-of-step structure, (2) the complex APD (antiphase domain) structure, (3) the simple APD structure. These structures are characterized by the use of the similar symbols to the Zhdanov symbol. Intensity formulae are derived for some typical cases. The application of the Patterson method gives some useful relations between the symbol adopted and a quantity which is obtained by Fourier cosine transformation of the unitary intensities. Since this quantity is any one of a set of integers of the form (P2 - 4qP) (P: period, q: integer), the correct layer sequence may be obtained even if the observed intensities are not so accurate. Applications for some ideal and real cases are shown.