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The enhancement in the dimension can be proceeded to gain stable configuration with minimum surface energy.
The crystal growth prefers the orientation which maintains the minimum surface energy.
The fcc metal tends to exhibit preferential crystallographic orientation with (111), its closet packed plane, achieving minimum surface energy.
Spherical nanoparticles are very commonly generated due to the minimum surface energy compared to other morphologies (e.g., films, tubes).
Generally, Si {111} is the most frequent exposed plane, which has the minimum surface energy among all the crystalline planes in Si [21, 22].
The positively Zn2+-terminated (001) polar surfaces of ZnO have the maximum surface energy, while the negatively O2--terminated (00-1) polar surfaces have the minimum surface energy.
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According to the Wulff facets theorem, a crystal has to be bounded by facets giving a minimum total surface energy at equilibrium [45, 46].
By theoretical calculations, Pourovskii et al. found a rather sharp minimum of the surface energy corresponding to the arrangement of a Ni layer in the second layer of Cu(100).
This experimental result further confirmed nanopore surface energy minimum principle.
The migration of nanopore edge material is based on the principle of the nanopore surface energy minimum, which was proposed by Dekker group [47].
The principle of nanopore surface energy minimum is verified in different morphologies of silicon oxide nanopore, such as elliptical silicon oxide nanopore and silicon nitride/silica composite nanopore [49].
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