The Electronic and Geometrical Structure of Small Elemental Clusters

1988 ◽  
pp. 125-147 ◽  
Author(s):  
P. Fantucci ◽  
J. Koutecký
Keyword(s):  
Geometrical Structure

Indo study of the geometrical structure of NCNCO

1978 ◽  
Vol 75 ◽  
pp. 703-705 ◽  
Author(s):  
Swadesh Ranjan Samanta ◽  
Ali Uddin Shaikh ◽  
Mahamed Asgar Ali
Keyword(s):  
Geometrical Structure

Experimental and geometrical structure characterizations of new synthesized laterally fluorinated nematogenic system

2021 ◽  
pp. 1-11
Author(s):  
Mohamed A. El-Atawy ◽  
Omaima. A. Alhaddad ◽  
Hoda A. Ahmed
Keyword(s):  
Geometrical Structure

scholarly journals A Flower-Shape Geometry and Nonlinear Problems on Strip-Like Domains

2020 ◽  
Author(s):  
Giuseppe Devillanova ◽  
Giovanni Molica Bisci ◽  
Raffaella Servadei
Keyword(s):  
Symmetric Functions ◽  
Geometrical Structure ◽  
Nonlinear Problems ◽  
Entire Space ◽  
Lebesgue Spaces ◽  
Multiplicity Results ◽  
Existence And Multiplicity ◽  
Semilinear Elliptic ◽  
Semilinear Elliptic Problems ◽  
Partially Symmetric

AbstractIn the present paper, we show how to define suitable subgroups of the orthogonal group $${O}(d-m)$$ O ( d - m ) related to the unbounded part of a strip-like domain $$\omega \times {\mathbb {R}}^{d-m}$$ ω × R d - m with $$d\ge m+2$$ d ≥ m + 2 , in order to get “mutually disjoint” nontrivial subspaces of partially symmetric functions of $$H^1_0(\omega \times {\mathbb {R}}^{d-m})$$ H 0 1 ( ω × R d - m ) which are compactly embedded in the associated Lebesgue spaces. As an application of the introduced geometrical structure, we prove (existence and) multiplicity results for semilinear elliptic problems set in a strip-like domain, in the presence of a nonlinearity which either satisfies the classical Ambrosetti–Rabinowitz condition or has a sublinear growth at infinity. The main theorems of this paper may be seen as an extension of existence and multiplicity results, already appeared in the literature, for nonlinear problems set in the entire space $${\mathbb {R}}^d$$ R d , as for instance, the ones due to Bartsch and Willem. The techniques used here are new.

Geometrical and Transport Properties of Disordered Fibre Networks: Analytical Results

1997 ◽  
Vol 11 (20) ◽  
pp. 867-875 ◽  
Author(s):  
A. A. Rodríaguez ◽  
E. Medina
Keyword(s):  
Probability Distribution ◽  
Transport Properties ◽  
Geometrical Structure ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Fracture Networks ◽  
Simplified Models ◽  
Fibre Density ◽  
Line Network

We study novel geometrical and transport properties of a 2D model of disordered fibre networks. To assess the geometrical structure we determine, analytically, the probability distribution for the number of fibre intersections and resulting segment sizes in the network as a function of fibre density and length. We also determine, numerically, the probability distribution of pore perimeters and areas. We find a non-monotonous behavior of the perimeter distribution whose main features can be explained by solving for two simplified models of the line network. Finally we formulate a mean field approximation to conduction, above the percolation threshold, using the derived results. Relevance of the results to fracture networks will be discussed.

scholarly journals On the small‐scale fractal geometrical structure of a living coral reef barrier

2020 ◽  
Vol 45 (12) ◽  
pp. 3042-3054 ◽  
Author(s):  
Damien Sous ◽  
Frédéric Bouchette ◽  
Erik Doerflinger ◽  
Samuel Meulé ◽  
Raphael Certain ◽  
...  
Keyword(s):  
Coral Reef ◽  
Geometrical Structure ◽  
Small Scale ◽  
Living Coral

Geometrical structure of cyclopropane as studied by gas electron diffraction and spectroscopic data

1985 ◽  
Vol 89 (15) ◽  
pp. 3298-3302 ◽  
Author(s):  
Satoshi Yamamoto ◽  
Munetaka Nakata ◽  
Tsutomu Fukuyama ◽  
Kozo Kuchitsu
Keyword(s):  
Electron Diffraction ◽  
Spectroscopic Data ◽  
Geometrical Structure ◽  
Gas Electron Diffraction

Static and Dynamic Structure of Molecular Monomers and Dimers of the Rare-earth Fluorides

2001 ◽  
Vol 56 (5) ◽  
pp. 381-385
Author(s):  
Z. Akdeniz ◽  
M . Gaune-Escard ◽  
M. P. Tosi
Keyword(s):  
Rare Earth ◽  
Bond Length ◽  
Geometrical Structure ◽  
Vibrational Mode ◽  
Dynamic Structure ◽  
Molecular Shape ◽  
Proposed Model ◽  
Infrared Studies ◽  
Charged Clusters ◽  
Good Agreement

Abstract We determine a model of the ionic interactions in RF3 compounds, where R is a rare-earth element in the series from La to Lu, by an analysis of data on the bond length and the vibrational mode frequencies of the PrF3, GdF3 and HoF3 molecular monomers. All RF3 monomers are predicted to have a pyramidal shape, displaying a progressive flattening of the molecular shape in parallel with the lanthanide contraction of the bond length. The vibrational frequencies of all monomers are calculated, the results being in good agreement with the data from infrared studies of matrix-isolated molecules. We also evaluate the geometrical structure and the vibrational spectrum of the La2F6 and Ce2F6 dimers, as a further test of the proposed model. -PACS 36.40.Wa (Charged clusters)

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