The history of this topic was recalled, including: the introduction (Frenkel & Kontorowa) of a truncated Fourier series for modelling periodic interactions at crystalline interfaces, the invention (Frank & van der Merwe) of interfacial misfit dislocations as an important mechanism in accommodating misfit at epilayer/substrate interfaces, the generalization of the Frank & van der Merwe theory to multilayers, the application of the parabolic model (Jesser & van der Merwe) to describing (for growing multilayers and superlattices) the impact of Fourier coefficients in realizing epitaxial orientations and the stability of modes of misfit accommodation and the application of the Volterra model (Matthews et al.) to describing misfit accommodation by dislocations in growing epilayers.
Misfit Dislocations in Epitaxy. J.H.Van der Merwe: Metallurgical and Materials Transactions A, 2002, 32[8], 2475-83