Theory of equilibrium shape of an anisotropically strained island: Thermodynamic limits for growth of nanowires

نویسنده

  • Amit Pradhan
چکیده

Using continuum elastic theory, we show that strain anisotropy removes the shape instability existing for an isotropically strained island. An anistropically strained island has always an anisotropic shape, elongating along the less-strained direction and adopting a narrow width in the more-strained direction. The sign of strain makes only a quantitative difference without changing the qualitative island shape. Our study establishes thermodynamic limits for growing nanowires with anisotropically strained islands.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Methanol-to-Hydrocarbons Product Distribution over SAPO-34 and ZSM-5 Catalysts: The applicability of Thermodynamic Equilibrium and Anderson-Schulz-Flory Distribution

The product distribution of methanol to hydrocarbons conversion over SAPO-34 and ZSM-5 catalysts was studied using thermodynamic equilibrium and Anderson-Schulz-Flory (ASF) distributions. The equilibrium compositions were calculated using constrained Gibbs free energy minimization. The effect of catalyst type was considered by setting upper limits to product carbon number due to sh...

متن کامل

Mean-field theory of nucleation and growth on strained surfaces

Mean-field nucleation and growth modeling is important for understanding various adsorbatesubstrate systems, particularly in the context of epitaxial growth. Conventional mean-field theory does not take into account non-local interactions, but adparticles may interact with strained islands via long range elastic interactions mediated by the substrate. We show that recent extensions of mean-fiel...

متن کامل

The Equilibrium Shape of Quantum Dots

The formation of dislocation-free three-dimensional islands during the heteroepitaxial growth of lattice-mismatched materials has been observed experimentally for several material systems. The equilibrium shape of the islands is governed by the competition between the surface energy and the elastic relaxation energy of the islands as compared to the uniform strained film. As an exemplification ...

متن کامل

Equilibrium island ridge arrays in strained solid films

The equilibrium shape and chemical potential of an array of island ridges in an epitaxially strained solid film are determined from a continuum model describing the Stranski–Krastonow morphology of a thin layer on a substrate. This model incorporates the conditions for mechanical and chemical equilibrium, isotropic surface energy, and misfit strain. Solutions corresponding to periodic arrays of...

متن کامل

Equilibrium Shapes of Small Three-dimensional Stranski-krastanow Islands in Epitaxially-strained Solid Lms

We determine the equilibrium morphology of a strained solid lm for the case where it wets the substrate (Stranski-Krastanow growth). Using a continuum elasticity model with isotropic surface energy and equal elastic constants in the lm and substrate, we calculate an asymptotic solution for the axisymmetric three-dimensional equilibrium shape of a small island, where the height is much less than...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004