Search results for "tetrahedron"
showing 10 items of 75 documents
Nanoscale oxide growth on Al single crystals at low temperatures: Variable charge molecular dynamics simulations
2006
We investigate the oxidation of aluminum low-index surfaces [(100), (110), and (111)] at low temperatures (300-600 K) and three different gas pressure values. We use molecular dynamics (MD) simulations with dynamic charge transfer between atoms where the interaction between atoms is described by the Es+ potential composed of the embedded atom method (EAM) potential and an electrostatic contribution. In the considered temperature range and under different gas pressure conditions, the growth kinetics follow a direct logarithmic law where the oxide thickness is limited to a value of ∼3 nm. The fitted curves allow us to determine the temperature and the pressure dependencies of the parameters i…
The Importance of Intermediate Range Order in Silicates: Molecular Dynamics Simulation Studies
2003
We present the results of large scale computer simulations in which we investigate the structural and dynamic properties of silicate melts with the compositions (Na2O)2(SiO2) and (Al2O3)2(Si02). In order to treat such systems on a time scale of several nanoseconds and for system sizes of several thousand atoms it is necessary to use parallel supercomputers like the CRAY T3E. We show that the silicates under consideration exhibit additional intermediate range order as compared to silica (SiO2) where the characteristic intermediate length scales stem from the tetrahedral network structure. For the sodium silicate system it is demonstrated that the latter structural features are intimately con…
Semiconductor-metal transitions in liquidIn100−xSexalloys: A concentration-induced transition
2004
The electronic and structural properties of ${\mathrm{In}}_{100\ensuremath{-}x}{\mathrm{Se}}_{x}$ liquid alloys close to their melting points have been investigated by combining x-ray-absorption experiments with ab initio molecular-dynamics simulations. Extended x-ray-absorption fine-structure data have been acquired at both the In and Se K edges in a large concentration range $(x=20%$ to $x=50%$ of Se content). Ab initio molecular-dynamics simulations have been carried out at the two most extreme concentrations explored experimentally. Liquid InSe is found to retain a semiconducting behavior which results from a low-dimensional structure, reminiscent of that of the ambient solid phase, cha…
High-pressure crystal structure investigation of synthetic Fe2SiO4 spinel.
2011
AbstractThe crystal structure of Fe2SiO4 spinel at room temperature was investigated at seven different pressures by X-ray diffraction, using a diamond anvil cell to examine the influence of Fe substitution on ringwoodite behaviour at high pressure. The results compared with those of a pure Mg endmember show that the substitution of Fe into the spinel structure causes only small changes in the compression rate of coordination polyhedra and the distortion of the octahedron. The data show that the compression rate for the octahedron and tetrahedron in (Mg,Fe)2SiO4 can be considered statistically equal for FeO6 and MgO6, as well as for SiO4 in both the endmembers. This shows why almost identic…
Computer simulations of SiO2 and GeO2
2004
Classical Molecular Dynamics (MD) simulations are used to study structural and dynamic properties of amorphous germania (GeO2) in comparison to those of silica (SiO2). The total structure factor, as obtained from these simulations, is in very good agreement with that of neutron scattering experiments, both for germania and silica. The tetrahedral network structure in silica and germania leads to a prepeak in the structure factor that appears at slightly smaller wavenumbers in GeO2 than in SiO2. At high temperatures the diffusion constants are very similar in both systems whereas at low temperatures diffusion is significantly faster in germania than in silica. We also outline the strategy fo…
Acute Type Refinements of Tetrahedral Partitions of Polyhedral Domains
2001
We present a new technique to perform refinements on acute type tetrahedral partitions of a polyhedral domain, provided that the center of the circumscribed sphere around each tetrahedron belongs to the tetrahedron. The resulting family of partitions is of acute type; thus, all the tetrahedra satisfy the maximum angle condition. Both these properties are highly desirable in finite element analysis.
H−ZSM-5 Modified Zeolite: Quantum Chemical Models of Acidic Sites
2007
A ZSM-5 fragment, containing 52 tetrahedral moieties, each of them formed by one silicon or one aluminum atom surrounded by four oxygen atoms, was employed to model (52T systems) by quantum chemical calculations (i) the influence of the positions of the acidic sites on the energetics of 22 aluminum monosubstituted and bisubstituted 52T acidic zeolite (H-ZSM-5) systems and (ii) the local adsorption properties and acidic strength of the corresponding -OH sites. The energetics and the structural properties of simpler acid H-ZSM-5 systems containing only five Tetrahedral moieties (5T systems) were also modeled for comparison. B3LYP/6-31G(d,p) partial geometry optimization routines were performe…
Alkaline cavities and tetrahedra in and solid solutions
1997
Seven different crystals were grown with 0 < x < 2 while seven different crystals were grown with , the limit value x = 1 corresponding to the clearly defined compound. A crystallographic study of these solid solutions was performed by comparison with the pure crystal. Structures were solved in the Pnma space group for the rubidium solid solutions and in the space group for the potassium ones. It was shown that the distribution of Cs and Rb, or Cs and K, among the two cationic sites called and was not random: Rb and K exhibit a higher affinity for the smallest cavity, the site. While the phase transition of and can be interpreted as rotations of the rigid tetrahedra mainly around the a dire…
Full Configuration-Interaction Study on the Tetrahedral Li4 Cluster
2008
International audience; The Li4 cluster low lying electronic states were studied. In particular we investigated the tetrahedral geometry at full CI and coupled cluster level, with basis sets of increasing quality. The 5A2 electronic state, characterized by having all the valence electrons unpaired, forming a quite stable no-pair bonding state, was studied in greater detail. In order to compare the energies we also studied the Li4 rhombus singlet ground state. The ability of coupled cluster with perturbative triples to correctly reproduce energy levels in a quasi-degenerate system was validated with respect to the full CI.
Expressions of Effective Hamiltonian Parameters of XY4 Molecules in the Tetrahedral Formalism
1998
We have derived expressions of second-order effective Hamiltonian parameters of XY4 molecules in the tetrahedral formalism (1992, J. P. Champion et al., "Spectroscopy of the Earth's Atmosphere and Interstellar Medium: Spherical Top Spectra," Academic Press, San Diego). They are written as a function of the force constants of the potential expanded in terms of the dimensionless normal coordinates. These expressions can be used in the isolated band scheme as well as in the polyad one. The ambiguity of the effective Hamiltonian parameters is treated. Relations between the parameters for q2 and q4 terms and Hecht's anharmonicity constants (1960, K. T. Hecht, J. Mol. Spectrosc. 5, 355-389) in th…