Open AccessJournal Article
Stability of Multiply-Twinned Particles
TLDR
In this article, a theory is developed which allows one to discuss the stability of multiply-twinned particles and to calculate critical sizes for stable and quasi-stable states, and the critical sizes r i w *, r i t 0 and r d t 0 are formulated as functions of the specific surface energy γ h k l, the twin boundary energy θ t, the elastic strain energy W and the adhesive energy to the substrate.Abstract:
A theory is developed which allows one to discuss the stability of multiply-twinned particles and to calculate critical sizes for stable and quasi-stable states. An icosahedral particle is essentially stable for r ≦ r i w * , quasi-stable for r i w * r i t 0 where r is an edge length of the particle, while a decahedral particle is not essentially stable but quasi-stable for r ≦ r d t 0 and unstable for r > r d t 0 . The critical sizes r i w * , r i t 0 and r d t 0 are formulated as functions of the specific surface energy γ h k l , the twin boundary energy γ t , the elastic strain energy W and the adhesive energy γ a to the substrate. Calculated critical diameters 2 r i w * ,2 r i t 0 and 2 r d t 0 for the particles grown in free space for several elements range between 15.5A and 106.8A, between 109.8A and 486.1A and between 725A and 3961A, respectively. These values are in good agreement with experimental results.read more
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References
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Journal ArticleDOI
Atomically Precise Colloidal Metal Nanoclusters and Nanoparticles: Fundamentals and Opportunities
TL;DR: This review summarizes the major progress in the field, including the principles that permit atomically precise synthesis, new types of atomic structures, and unique physical and chemical properties ofatomically precise nanoparticles, as well as exciting opportunities for nanochemists to understand very fundamental science of colloidal nanoparticles.
Journal ArticleDOI
XXV. Zur Frage der Geschwindigkeit des Wachsthums und der Auflösung der Krystallflächen
TL;DR: In der krystallographischen Literatur der letzten Zeit erscheinen mehr und mehr Arbeiten, welche dem gegenseitigen Verhältnisse des Krystalles and des Mediums, in welchem er sich bildet, gewidmet sind.
Journal ArticleDOI
Structural properties of nanoclusters: Energetic, thermodynamic, and kinetic effects
TL;DR: In this paper, a review of the experimental methods for the production of free nanoclusters is presented, along with theoretical and simulation issues, always discussed in close connection with the experimental results.
Journal ArticleDOI
Experimental studies of small particle structures
TL;DR: In this paper, the experimental structure of small particles is reviewed, the emphasis being an attempt to correlate experimental information with theoretical models, and a general model merging thermodynamic and kinetic factors is presented to rationalize the available data, followed by a brief discussion.
Journal ArticleDOI
Direct Measurements of the Surface Energies of Crystals
TL;DR: In this paper, the surface energies of several simple crystals have been measured at −196°C by means of quantitative cleavage experiments and the measured values of their respective surface energies (ergs/cm2) are: 340, 1200, 450, 280, 230, 1240, and 105.