On the theory of crystal-surface growth near a crystallization point

2004 ◽  
Vol 49 (11) ◽  
pp. 634-637
Author(s):  
S. O. Gladkov
Keyword(s):  
Crystal Surface ◽  
Surface Growth ◽  
Crystallization Point

scholarly journals Examination of inequivalent wetting on the crystal habit surfaces of RS-ibuprofen using grid-based molecular modelling

2018 ◽  
Vol 20 (17) ◽  
pp. 11622-11633 ◽  
Author(s):  
I. Rosbottom ◽  
J. H. Pickering ◽  
B. Etbon ◽  
R. B. Hammond ◽  
K. J. Roberts
Keyword(s):  
Molecular Modelling ◽  
Growth Rates ◽  
Crystal Surface ◽  
Surface Interactions ◽  
Surface Growth ◽  
Crystal Habit ◽  
Grid Based

Novel grid-based searching of solvent/crystal-surface interactions to investigate solution wetting impact upon crystal surface growth rates.

scholarly journals Global dynamics of a fourth-order parabolic equation describing crystal surface growth

2019 ◽  
Vol 24 (2) ◽  
pp. 159-175 ◽  
Author(s):  
Ning Duan ◽  
Xianyun Xu
Keyword(s):  
Parabolic Equation ◽  
Global Attractor ◽  
Fourth Order ◽  
Crystal Surface ◽  
Surface Growth ◽  
Global Dynamics ◽  
Initial Value ◽  
Order Parabolic Equation ◽  
Fourth Order Parabolic Equation

In this paper, we study the global dynamics for the solution semiflow of a fourth-order parabolic equation describing crystal surface growth. We show that the equation has a global attractor in H4per(Ω) when the initial value belongs to H1per(Ω).

scholarly journals FINITE ELEMENT METHOD FOR A NONLINEAR DIFFERENTIAL EQUATION DESCRIBING CRYSTAL SURFACE GROWTH

2014 ◽  
Vol 19 (2) ◽  
pp. 155-168 ◽  
Author(s):  
Xiaopeng Zhao ◽  
Fengnan Liu ◽  
Bo Liu
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Differential Equation ◽  
Crystal Surface ◽  
Surface Growth ◽  
The Finite Element Method ◽  
Order Error ◽  
Projection Approximation ◽  
Element Method

In this paper, for a nonlinear differential equation describing crystal surface growth, the finite element method is presented. A nice order error estimates is derived by means of a finite element projection approximation.

scholarly journals Optimal control problem for the BCF model describing crystal surface growth

2016 ◽  
Vol 21 (2) ◽  
pp. 223-240 ◽  
Author(s):  
Xiaopeng Zhao ◽  
Jinde Cao
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Crystal Surface ◽  
Optimal Solution ◽  
Surface Growth ◽  
Optimality System

In this paper, for the BCF model describing crystal surface growth, the optimal control problem is considered, the existence of optimal solution is proved and the optimality system is established.

Convergent Beam Electron Diffraction

1978 ◽  
Vol 36 (3) ◽  
pp. 304-315
Author(s):  
G. Lehmpfuhl
Keyword(s):  
Electron Diffraction ◽  
Diffraction Pattern ◽  
Crystal Surface ◽  
Diffraction Spot ◽  
Crystal Thickness ◽  
Large Area ◽  
Electron Microscopic ◽  
Additional Information ◽  
Microscopic Investigations

Introduction In electron microscopic investigations of crystalline specimens the direct observation of the electron diffraction pattern gives additional information about the specimen. The quality of this information depends on the quality of the crystals or the crystal area contributing to the diffraction pattern. By selected area diffraction in a conventional electron microscope, specimen areas as small as 1 µ in diameter can be investigated. It is well known that crystal areas of that size which must be thin enough (in the order of 1000 Å) for electron microscopic investigations are normally somewhat distorted by bending, or they are not homogeneous. Furthermore, the crystal surface is not well defined over such a large area. These are facts which cause reduction of information in the diffraction pattern. The intensity of a diffraction spot, for example, depends on the crystal thickness. If the thickness is not uniform over the investigated area, one observes an averaged intensity, so that the intensity distribution in the diffraction pattern cannot be used for an analysis unless additional information is available.

Crystal Structure Determination of Glycerol-Containing Lipids from Electron Diffraction Data. Use of Analog Compounds Based upon Configurational Isomers of Cyclopentane-1, 2, 3-TRIOL

1977 ◽  
Vol 35 ◽  
pp. 24-25
Author(s):  
Douglas L. Dorset ◽  
Anthony J. Hancock
Keyword(s):  
Crystal Structure ◽  
Electron Diffraction ◽  
Diffraction Data ◽  
Structure Determination ◽  
Crystal Surface ◽  
Coherent Scattering ◽  
Crystal Structure Determination ◽  
Electron Diffraction Data ◽  
Polar Group ◽  
Axis Orientation

Lipids containing long polymethylene chains were among the first compounds subjected to electron diffraction structure analysis. It was only recently realized, however, that various distortions of thin lipid microcrystal plates, e.g. bends, polar group and methyl end plane disorders, etc. (1-3), restrict coherent scattering to the methylene subcell alone, particularly if undistorted molecular layers have well-defined end planes. Thus, ab initio crystal structure determination on a given single uncharacterized natural lipid using electron diffraction data can only hope to identify the subcell packing and the chain axis orientation with respect to the crystal surface. In lipids based on glycerol, for example, conformations of long chains and polar groups about the C-C bonds of this moiety still would remain unknown.One possible means of surmounting this difficulty is to investigate structural analogs of the material of interest in conjunction with the natural compound itself. Suitable analogs to the glycerol lipids are compounds based on the three configurational isomers of cyclopentane-1,2,3-triol shown in Fig. 1, in which three rotameric forms of the natural glycerol derivatives are fixed by the ring structure (4-7).

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