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Example Influence of areal coverage

Note that the center-to-center spacing of the islands is p = L/N. The relationship between substrate curvature and mismatch strain is readily obtained by appeal to the principle of minimum potential energy. The elastic energy stored in the beam at uniform curvature k is - Esh n L. Suppose that positive curvature corresponds to a reduction in extensional strain on the beam surface to which the [Pg.74]

It follows that the minimum value in energy under variations in curvature n occurs for the curvature value [Pg.75]

A term on the right side that is higher order in the small ratio hf/hg has been omitted. The areal coverage is represented by the factor b/p, a ratio that can be very small compared to unity for a dilute distribution of islands but which approaches one in value at full coverage. A more detailed examination of these issues is pursued in Section 3.10. [Pg.75]


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Areal coverage

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