There is considerable interest at present in the mechanisms of tilting of epitaxial films, such that low index planes in layer and substrate have slightly different orientations. There are two primary causes of this effect: a) coherency strains and b) the action of misfit dislocations. It is important to distinguish between the two effects, particularly in the case of strained layers used for band-gap engineering. Using a recent formulation of the Frank-Bilby equation for the dislocation content of interfaces, it is shown how planes may be rotated in coherent layers due to both the Poisson effect and anisotropic misfit. An advantage of the Frank-Bilby equation is that it allows consideration of semicoherent layers. It is shown that a side effect of misfit dislocation introduction can be to introduce a further rotation of the epitaxial layer. Both these effects have been measured experimentally. The amount and the sense of rotation is compared to theory.The rotation of planes in epitaxial layers is at present a matter of some interest and poorly understood. It has been noted in every lattice mismatched system , and has been proposed as an important mechanism of misfit relief, particularly in strained layers grown on offcut substrates. Here an analysis of the sources of rotation is presented and compared to experimental measurements.The state of strain in a layer which is constrained to fit the substrate can be described in terms of continuum elasticity or a dislocation model. Both approaches give the same results (Beanland 1991). The deformation of an elastically isotropic layer subject to a biaxial strain can be described by the matrix D, with the components D 11 =f, D 22 =f, D 33 =-2fv/(l-v), D 1 2 =D 1 3 =D 2 3 =D 32 =D 3 1 =D 21 =0(1)where f is the misfit strain, i.e. (ae-as)/ae and v is Poisson's ratio; D is written in an orthogonal reference frame Q2, with x0 and yn in the interface plane and za pointng from the interface to the layer surface. This describes a tetragonal distortion of the layer, as shown in figure 1. When the layer is strained to fit the substrate, the dimensions parallel to the interface contract, and the dimension perpendicular to the interface expands due to the Poisson effect. It can be seen that only planes parallel and perpendicular to the interface do not have their orientation changed by the distortion. In the unstrained layer (figure la) planes in the layer m are parallel to similar planes m' in the substrate. When the layer is strained (figure lb), the plane (m") is no longer parallel to m'. It can be shown that, in elastically isotropic layers, a plane at an angle 0 to the interface will be rotated by an angle AO given by tanA0 +v) f sine cosOIn the case of growth on substrates offcut from a low index surface, the low index planes in layer and substrate are no longer parallel due to this effect (figure 2). Figure 3 plots AO as a function of offcut angle for coherently strained Ino. 4 73 Gao. 527 As layers on InP. The curve of Mat.