Equilibrium shapes of polycrystalline silicon nanodots
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Cites background from "Equilibrium shapes of polycrystalli..."
...For the equilibrium state the equations governing the shape of a nano- or micro crystal in contact with a substrate has been systematically derived as well as experimentally validated in [31, 59]....
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References
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"Equilibrium shapes of polycrystalli..." refers methods in this paper
...We also note that, based on minimization methods for anisotropic crystals in an unbounded domain, as well as attached to an isotropic surface have been discussed in (17) and (18), using software based on (19)....
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1,803 citations
"Equilibrium shapes of polycrystalli..." refers methods in this paper
...We begin with the discussion on results obtained with a well-established geometrical procedure, the Wulff construction (9)....
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...Free surface energy minimizers are typically obtained by application of the geometrical Wulff construction (9; 10), the geometrical plot of the Cahn-Hoffmann vector, see for example (11), or numerically in terms of gradient flows that evolve with time to the equilibrium setting, for example using a level-set method (12)....
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1,208 citations
"Equilibrium shapes of polycrystalli..." refers background or methods in this paper
...Free surface energy minimizers are typically obtained by application of the geometrical Wulff construction (9; 10), the geometrical plot of the Cahn-Hoffmann vector, see for example (11), or numerically in terms of gradient flows that evolve with time to the equilibrium setting, for example using a level-set method (12)....
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...Wulff’s construction relies on a surface energy density that is continuous (10)....
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956 citations
"Equilibrium shapes of polycrystalli..." refers background in this paper
...Such systems are of interest for investigating quantum confinement effects in general and in particular by exploiting size dependent band gap engineering for silicon material (6)....
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