Post-Einstein cosmology: Torsion, strings, dual symmetry. II. The necessity of considering string additions and dual symmetry

This study is a direct continuation of previous work [1].     

Trimetallic NiCoM catalysts (M = Mn,Fe, Cu) for methane conversion into synthesis gas

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Structure and quantum chemical study of crystalline platinum(II) acetate

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Hypothesis of friedmons as dark matter particles

The hypothesis of friedmons, the particles of mass 1.53 · 10^?15 g, as candidates to dark matter particles is presented. Friedmons are stable bicolor lepton structures corresponding to exact symmetry group SU(2), the dual group of electroweak interaction. Similarly to the fact that the nucleon mass is related to the average star mass, the friedmon mass is related to the mass of the Metagalaxy whose metric is close to the de Sitter metric and which can be qualitatively considered as a white hole with an event horizon defined by the cosmological constant.     

Growth of metallic Ag whisker single crystals on AgI films

The growth of silver whisker nanocrystals (WNCs) on the surface of an AgI film deposited by laser ablation is studied on a Zeiss Merlin scanning electron microscope. The chemical composition of WNCs is determined by electron-probe microanalysis. The growth rate of WNCs is estimated. Possible WNC growth mechanisms under the action of an electron beam are considered.     

Exact relations between the electron density and external potential for systems of interacting and noninteracting electrons

The differential virial theorem (DVT) is an explicit relation between the electron density ρ( r ), the external potential, kinetic energy density tensor, and (for interacting electrons) the pair function. The time‐dependent generalization of this relation also involves the paramagnetic current density. We present a detailed unified derivation of all known variants of the DVT starting from a modified equation of motion for the current density. To emphasize the practical significance of the theorem for noninteracting electrons, we cast it in a form best suited for recovering the Kohn–Sham effective potential v_s( r ) from a given electron density. The resulting expression contains only ρ( r ), v_s( r ), kinetic energy density, and a new orbital‐dependent ingredient containing only occupied Kohn–Sham orbitals. Other possible applications of the theorem are also briefly discussed. © 2012 Wiley Periodicals, Inc.     

Estimation of the size of drug-like chemical space based on GDB-17 data

The goal of this paper is to estimate the number of realistic drug-like molecules which could ever be synthesized. Unlike previous studies based on exhaustive enumeration of molecular graphs or on combinatorial enumeration preselected fragments, we used results of constrained graphs enumeration by Reymond to establish a correlation between the number of generated structures (M) and the number of heavy atoms (N): logM = 0.584 × N × logN + 0.356. The number of atoms limiting drug-like chemical space of molecules which follow Lipinsky’s rules (N = 36) has been obtained from the analysis of the PubChem database. This results in M ≈ 10³³ which is in between the numbers estimated by Ertl (10²³) and by Bohacek (10⁶⁰).