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Related papers: Shape Selection in Nanopillar Formation

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One technique for creating semiconductor crystals with new, desired properties involves replacing some atoms in the crystal lattice with additives - atoms of a different type. This substitution not only alters the bulk properties of the…

Materials Science · Physics 2025-06-12 M. A. Chabowska , M. A. Załuska-Kotur

The shape of nanocrystals is crucial in determining their surface area, reactivity, optical properties, mechanical strength, and self-assembly behavior. Traditionally, shape control has been achieved through empirical methods, highlighting…

Materials Science · Physics 2024-10-15 Carlos L. Bassani , Michael Engel

The growth of a crystal is usually determined by its surface. Many factors influence the growth dynamics. Energy barriers associated with the presence of steps most often decide about the emerging pattern. The height and type of…

Materials Science · Physics 2023-12-08 Marta Anna Chabowska , Magdalena A. Załuska-Kotur

Targeting specific technological applications requires the control of nanoparticle properties, especially the crystalline polymorph. Freezing a nanodroplet deposited on a solid substrate leads to the formation of crystalline structures. We…

Soft Condensed Matter · Physics 2018-03-02 Julien Lam , James F. Lutsko

The growth of crystals confined in porous or cellular materials is ubiquitous in Nature and industry. Confinement affects the formation of biominerals in living organisms, of minerals in the Earth's crust and of salt crystals damaging…

Materials Science · Physics 2022-11-30 Felix Kohler , Olivier Pierre-Louis , Dag Kristian Dysthe

We present a dynamical model of crystal growth, in which it is possible to reliably achieve asymmetric products, beginning from symmetric initial conditions and growing within an isotropic environment. The asymmetric growth is the result of…

Statistical Mechanics · Physics 2025-03-20 Sam Oaks-Leaf , David T. Limmer

We report numerical investigations of a three-dimensional model of diffusive growth of fine particles, the internal structure of which corresponds to different crystal lattices. A growing cluster (particle) is immersed in, and exchanges…

Statistical Mechanics · Physics 2010-10-12 Vyacheslav Gorshkov , Alexandr Zavalov , Vladimir Privman

Given recipe of qualitative, kinetic modelling by geometric methods of three-dimensional dendritic crystals. Characteristic features of the perturbations appearing on the surface of a spherical body, leading to different scenarios of the…

Materials Science · Physics 2018-10-05 Alexander S. Prokhoda

The ordering of nanoparticles into predetermined configurations is of importance to the design of advanced technologies. In this work, we moderate the surface anchoring against the bulk elasticity of liquid crystals to dynamically shape…

Soft Condensed Matter · Physics 2023-12-01 Lisa Tran , Hye-Na Kim , Ningwei Li , Shu Yang , Kathleen J. Stebe , Randall D. Kamien , Martin F. Haase

Growth of nanoclusters and nanopillars is considered in a model of surface deposition of building blocks (atoms) diffusionally transported from solution to the forming surface structure. Processes of surface restructuring are also accounted…

Materials Science · Physics 2014-05-07 V. Privman , V. Gorshkov , O. Zavalov

Silica-carbonate biomorphs are a class of emergent materials, i.e. composite microstructures made of nanometric carbonate crystallites surrounded by amorphous silica. They form via a co-precipitation process in an interplay between alkaline…

Symmetries are so involved in crystallographic detail that it is indispensable when crystal cell or lattice is mentioned. For nanocrystals, however, many are 'systemic symmetries', meaning that the whole structures of nanocrystal particles…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 Yan Zhou , Junyan Zhang , Bin Zhang , Jutao Jin , Aimin Liang , Yuqing Da , Jiangong Li

By using a phase-field crystal (PFC) model, the liquid-crystal growth of the plastic triangular phase is simulated with emphasis on crystal shape and topological defect formation. The equilibrium shape of a plastic triangular crystal (PTC)…

Soft Condensed Matter · Physics 2017-08-07 Sai Tang , Simon Praetorius , Rainer Backofen , Axel Voigt , Yan-Mei Yu , Jincheng Wang

We consider growth of nanoclusters and nanopillars in a model of surface deposition and restructuring yielding morphologies of interest in designing catalysis applications. Kinetic Monte Carlo numerical modeling yields examples of the…

Soft Condensed Matter · Physics 2011-10-07 Vyacheslav Gorshkov , Oleksandr Zavalov , Plamen B. Atanassov , Vladimir Privman

Geometric frustration is a widespread phenomenon in physics, materials science, and biology, occurring when the geometry of a system prevents local interactions from being all accommodated. The resulting manifold of nearly degenerate…

Materials Science · Physics 2025-07-22 Oliver Lin , Zhiheng Lyu , Hsu-Chih Ni , Xiaokang Wang , Yetong Jia , Chu-Yun Hwang , Lehan Yao , Jian-Min Zuo , Qian Chen

The morphologies of two-dimensional (2D) crystals, nucleated, grown, and integrated within 2D elastic fluids, for instance in giant vesicle membranes, are dictated by an interplay of mechanics, permeability, and thermal contraction.…

Soft Condensed Matter · Physics 2023-07-07 Hao Wan , Geunwoong Jeon , Weiyue Xin , Gregory M. Grason , Maria M. Santore

Pattern forming systems allow for a wealth of states, where wavelengths and orientation of patterns varies and defects disrupt patches of monocrystalline regions. Growth of patterns has long been recognized as a strong selection mechanism.…

Pattern Formation and Solitons · Physics 2023-02-28 Ryan Goh , Arnd Scheel

We employed the VicCA model to investigate the influence of step-edge potential on nucleation and pattern formation, aiming to gain deeper insights into island formation and growth. Our study explores fractal structures governed by general…

Materials Science · Physics 2025-06-12 Marta A. Chabowska , Magdalena A. Załuska-Kotur

A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its…

Analysis of PDEs · Mathematics 2021-10-27 Andrea Braides , Giovanni Scilla , Antonio Tribuzio

Spherical particles confined to a sphere surface cannot pack densely into a hexagonal lattice without defects. In this study, we use hard particle Monte Carlo simulations to determine the effects of continuously deformable shape anisotropy…

Soft Condensed Matter · Physics 2026-01-01 Gabrielle N. Jones , Philipp W. A. Schönhöfer , Sharon C. Glotzer
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