scholarly journals Self-organization of (001) cubic crystal surfaces

2001 ◽  
Vol 64 (16) ◽  
Author(s):  
Laurent Proville
Keyword(s):  
Self Organization ◽  
Crystal Surfaces ◽  
Cubic Crystal

scholarly journals The memory of surfaces: epitaxial growth on quasi-crystals

2012 ◽  
Vol 370 (1969) ◽  
pp. 2930-2948 ◽  
Author(s):  
R. McGrath ◽  
H. R. Sharma ◽  
J. A. Smerdon ◽  
J. Ledieu
Keyword(s):  
Epitaxial Growth ◽  
Crystal Structures ◽  
Transfer Process ◽  
Information Transfer ◽  
Self Organization ◽  
Crystal Surfaces ◽  
Substrate Interactions ◽  
Factors Influencing ◽  
Quasi Crystals

If crystal structures can be viewed as repositories of information, then crystal surfaces offer a pathway by which this information can be used to grow new structures through the process of epitaxy. The information transfer process is one of self-organization, and the kinetic and energetic factors influencing this are complex. They include the relative strengths of the adsorbate–adsorbate and adsorbate–substrate interactions, the flux of incoming species and the temperature of the system. In this brief review, we explore how the interplay of these factors influences the degree to which the epitaxial structures retain the ‘memory’ of the template, illustrating the discussion with examples from epitaxy on quasi-crystal surfaces.

scholarly journals On the possibility of surface transversal wave guidance in an elastic subsurface layer of cubic crystal systems with periodic material inhomogeneities

2020 ◽  
Vol 69 (4) ◽  
pp. 85-93
Author(s):  
Jerzy Kapelewski † ◽  
Mateusz Pasternak
Keyword(s):  
Surface Layer ◽  
Elastic Layer ◽  
Subsurface Layer ◽  
Experimental Tests ◽  
Surface Boundary ◽  
Crystal Surfaces ◽  
Elastic Surface ◽  
Cubic Crystal ◽  
Surface Modes ◽  
Periodic Inhomogeneities

In the paper, the possibility of surface transversal waves existence on an elastic surface layer with artificially induced periodic inhomogeneities has been described. Such kind of waves, unlike well-known surface modes sustained close to the surface boundary by an elastic layer as well as constant or periodic electrical short, have potential to transfer higher energy with higher velocity. Such parameters are very important for applications of sensors. In the work, some outline of the theory, chosen qualitative aspects of such wave propagation on regular crystal surfaces as well as the results of preliminary experimental tests were presented.

Identifying the forces responsible for self-organization of nanostructures at crystal surfaces

Nature ◽  
10.1038/16667 ◽  
1999 ◽  
Vol 397 (6716) ◽  
pp. 238-241 ◽  
Author(s):  
K. Pohl ◽  
M. C. Bartelt ◽  
J. de la Figuera ◽  
N. C. Bartelt ◽  
J. Hrbek ◽  
...  
Keyword(s):  
Self Organization ◽  
Crystal Surfaces

EFFECT OF LATTICE DISTORTION ON THE DEBYE–WALLER FACTOR: II. CRYSTAL SURFACES

1967 ◽  
Vol 45 (8) ◽  
pp. 2661-2670 ◽  
Author(s):  
J. Vail
Keyword(s):  
Lattice Distortion ◽  
Nearest Neighbor ◽  
Waller Factor ◽  
Potential Interaction ◽  
Coupling Constants ◽  
Crystal Surfaces ◽  
Cubic Crystal ◽  
Debye Waller Factor ◽  
Factor Ii ◽  
Cubic Model

The lattice distortion which occurs at the surface of a monatomic metal is investigated by considering a simple cubic model based on a Morse potential interaction between pairs of atoms. Effective nearest-neighbor harmonic coupling constants are estimated for the following cases: (a) an atom in an infinite monatomic cubic crystal; (b) an atom in the surface layer of a semi-infinite monatomic cubic crystal, taking account of lattice distortion, and considering vibrations both parallel and perpendicular to the surface; and (c) an atom cn the surface, vibrating perpendicular to the surface. From these results the relative magnitudes of the Debye–Waller factor are estimated for the various cases. It is found that this model, in contrast to purely harmonic-force models, has the Debye–Waller factor for vibrations parallel to the surface greater than the bulk value. Also, comparison with the results of other models suggests that surface lattice distortion reduces the Debye–Waller factor from the bulk value by about as much as does the creation of a surface itself, ignoring the attendant lattice distortion.

Self-Organization Phenomena at Crystal Surfaces

2004 ◽  
pp. 57-233 ◽  
Author(s):  
Vitaly A. Shchukin ◽  
Nikolai N. Ledentsov ◽  
Dieter Bimberg
Keyword(s):  
Self Organization ◽  
Crystal Surfaces

Statistical mechanics and the partition of numbers II. The form of crystal surfaces

1952 ◽  
Vol 48 (4) ◽  
pp. 683-697 ◽  
Author(s):  
H. N. V. Temperley
Keyword(s):  
Surface Energy ◽  
Statistical Mechanics ◽  
Three Dimensional ◽  
Crystal Surfaces ◽  
Cubic Crystal ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
First Approximation ◽  
Equilibrium Profile

AbstractThe classical theory of partition of numbers is applied to the problem of determining the equilibrium profile of a simple cubic crystal. It is concluded that it may be thermo-dynamically profitable for the surface to be ‘saw-toothed’ rather than flat, the extra entropy associated with such an arrangement compensating for the additional surface energy. For both a two- and a three-dimensional ‘saw-tooth’ the extra entropy varies, to a first approximation, in the same way as the surface energy, i.e. is proportional to or respectively, where N is the number of molecules in a ‘tooth’. For the simple cubic lattice, the entropy associated with the formation of a tooth containing N atoms is estimated to be 3.3 It is also possible to estimate the variation of the ‘equilibrium roughness’ of a crystal with temperature, if its surface energy is known.

Electron-Mirror Microscopic Aspects of Ferroelectric Domains of BaTiO3 And Ca2Sr (C2H5CO2)6

1970 ◽  
Vol 28 ◽  
pp. 478-479
Author(s):  
Teruo Someya ◽  
Jinzo Kobayashi
Keyword(s):  
Surface Layer ◽  
Electric Fields ◽  
Quantitative Study ◽  
Recent Progress ◽  
Ferroelectric Domain ◽  
Resolving Power ◽  
Surface Pattern ◽  
Crystal Surfaces ◽  
One Dimensional ◽  
Ferroelectric Domains

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).

In situ REM imaging of surface processes on ceramic bulk crystals from 300 to 1670 K in a conventional TEM

1991 ◽  
Vol 49 ◽  
pp. 660-661
Author(s):  
Z. L. Wang ◽  
J. Bentley
Keyword(s):  
High Temperatures ◽  
Image Resolution ◽  
Atomic Processes ◽  
Crystal Surfaces ◽  
Beam Radiation ◽  
Surface Areas ◽  
Transmission Electron ◽  
Reflection Electron Microscopy ◽  
Gas Reactions

Studying the behavior of surfaces at high temperatures is of great importance for understanding the properties of ceramics and associated surface-gas reactions. Atomic processes occurring on bulk crystal surfaces at high temperatures can be recorded by reflection electron microscopy (REM) in a conventional transmission electron microscope (TEM) with relatively high resolution, because REM is especially sensitive to atomic-height steps.Improved REM image resolution with a FEG: Cleaved surfaces of a-alumina (012) exhibit atomic flatness with steps of height about 5 Å, determined by reference to a screw (or near screw) dislocation with a presumed Burgers vector of b = (1/3)<012> (see Fig. 1). Steps of heights less than about 0.8 Å can be clearly resolved only with a field emission gun (FEG) (Fig. 2). The small steps are formed by the surface oscillating between the closely packed O and Al stacking layers. The bands of dark contrast (Fig. 2b) are the result of beam radiation damage to surface areas initially terminated with O ions.

Various technic for the measurement of step thickness on crystal surfaces

1978 ◽  
Vol 36 (1) ◽  
pp. 438-439
Author(s):  
C. Boulesteix ◽  
C. Colliex ◽  
C. Mory ◽  
B. Pardo ◽  
D. Renard
Keyword(s):  
Critical Thickness ◽  
Symmetric Case ◽  
Transmitted Intensity ◽  
Crystal Surfaces ◽  
Bright Field ◽  
Excited Wave ◽  
Highly Sensitive ◽  
Contrast Mechanisms ◽  
Step Thickness ◽  
Thickness Variations

Contrast mechanisms, which are responsible of the various types of image formation, are generally thickness dependant. In the following, two imaging modes in the 100 kV CTEM are described : they are highly sensitive to thickness variations and can be used for quantitative estimations of step heights.Detailed calculations (1) of the bright-field intensity have been carried out in the 3 (or 2N+l)-beam symmetric case. They show that in given conditions, the two important symmetric Bloch waves interfere most strongly at a critical thickness for which they have equal emergent amplitudes (the more excited wave at the entrance surface is also the more absorbed). The transmitted intensity I for a Nd2O3 specimen has been calculated as a function of thickness t. The capacity of the method to detect a step and measure its height can be more clearly deduced from a plot of dl/Idt as shown in fig. 1.

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