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Equilibrium limits of coherency in strained nanowire heterostructures
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View: Figures


Image of FIG. 1.
FIG. 1.

Schematic of heterostructured nanowire, before and after interfacial bonding. The misfit dislocation geometry considered here is illustrated as well.

Image of FIG. 2.
FIG. 2.

Energy , , vs underlayer radius for nanowire heterostructures with lattice mismatch . , , , and .

Image of FIG. 3.
FIG. 3.

Energy , , vs lattice mismatch for nanowire heterostructures with underlayer radius . , , , and .

Image of FIG. 4.
FIG. 4.

Equilibrium diagram illustrating regions in space for which the coherent and dislocated nanowire heterostructures are stable with respect to each other. , , and .

Image of FIG. 5.
FIG. 5.

Finite element mesh of heterostructured nanowire system, before and after bonding of interface. , , and .

Image of FIG. 6.
FIG. 6.

Stress fields , , and induced in heterostructred nanowire system, obtained via finite element analysis. , , and .

Image of FIG. 7.
FIG. 7.

Strain energy density in overlayer and underlayer for . Finite element results are indicated by the marker +; exponential fits to the finite element data are indicated by solid lines. , , and .

Image of FIG. 8.
FIG. 8.

Decay constant for , as determined by finite element analysis and Eq. (15). and .

Image of FIG. 9.
FIG. 9.

Comparison between finite elements and Eq. (5) using , , and of radial and displacements in the overlayer at the interface. , , , and .

Image of FIG. 10.
FIG. 10.

Total strain energy in coherent nanowire heterostructure as a function of according to Eq. (15) is compared with the total strain energy computed with finite element analysis for the cases . , , and .


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Equilibrium limits of coherency in strained nanowire heterostructures