Aa. Darhuber et al., CRYSTALLINE AND QUASI-CRYSTALLINE PATTERNS IN X-RAY-DIFFRACTION FROM PERIODIC ARRAYS OF QUANTUM DOTS, Europhysics letters, 32(2), 1995, pp. 131-136
The structural properties of a square periodic array of quantum dots o
f a GaAs/AlAs superlattice were studied by X-ray diffractometry. If th
e azimuthal direction of the primary beam can be expressed by integer
Miller indices, the profile is perfectly periodic. However, if its azi
muthal orientation phi is determined by tg(phi) approximate to 0.618 (
the golden mean value), the diffraction maxima exhibit Fibonacci seque
nces in reciprocal space, ie. a quasi-periodic diffraction curve.