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Over the years, a number of measures have been defined for the purpose of determining the number of independent dimensions contained in a space. The most common dimensionality measures are the topological dimensionality and various kinds... more
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      MathematicsFractal GeometryGeometry And TopologyPhysics
This article develops from first principles some of the key ingredients necessary to successfully construct a Theory of Everything (TOE). The heart of a successful TOE must contain an accurate model of space. The basic principles... more
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      PhysicsTheoretical PhysicsGrand UnificationTheory of Everything
We show that developing a Theory of Everything (TOE) to unify all physical interactions requires a spacetime model having: (i) a discrete-continuous dual structure in which physical properties that could hypothetically vary continuously... more
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      PhysicsUncertainty QuantificationQuantum entanglementGrand Unification
This week, the Large Hadron Collider at CERN announced the discovery of a new boson with mass of ~125 GeV. Many have interpreted these results as evidence in favor of the Higgs boson believed to provide a mechanism for subatomic particle... more
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      Electroweak Symmetry BreakingGauge-Gravity CorrespondenceHiggs bosonHiggs physics
An unusual electronic phase transition was observed in a pair of parallel thin metallized dielectric films. When charged with excess electrons and then grounded, an electronic phase transition occurred during the discharge step that led... more
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      Electrical EngineeringPhysicsElectromagnetismElectrostatics
An effect discovered by Manz (J. Space Mixing, 6 (2016) 1-17.) produces a net attractive rather than repulsive force between two like-signed macroscopic static charge distributions. In this work, we constructed electric circuits and... more
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      Electrical EngineeringPhysicsElectromagnetismElectrostatics
ABSTRACT New zirconium (Zr) based organometallic catalysts for direct olefin epoxidation using O2 as oxidant without coreductant were introduced in a previous computational study (T. A. Manz and B. Yang, RSC Adv., 2014, 4, 27755–27774).... more
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    • RSC
Computation was used to design a new catalytic route for selective oxidation using molecular oxygen as the oxidant without requiring a coreductant. Formation of η3-ozone intermediates is a key feature. Key steps in the catalytic cycle... more
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      Chemical EngineeringChemistryComputational ChemistryQuantum Chemistry
ABSTRACT Two deactivation pathways of Ti and Zr half-metallocene complexes activated with B(C6F5)3 in toluene solvent were studied using Density Functional Theory (DFT) with dispersion corrections: (a) H transfer from counterion to Me... more
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      ChemistryComputational ChemistryQuantum ChemistryPhysical Chemistry
Developing a comprehensive method to compute bond orders is a problem that has eluded chemists since Lewis's pioneering work on chemical bonding a century ago. Here, a computationally efficient method solving this problem is introduced... more
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      Quantum PhysicsChemistryComputational ChemistryQuantum Chemistry
Net atomic charges (NACs) are widely used throughout the chemical sciences to concisely summarize key information about charge transfer between atoms in materials. The vast majority of NAC definitions proposed to date are unsuitable for... more
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      ChemistryComputational ChemistryQuantum ChemistryTheoretical Chemistry
Net atomic charges (NACs) are widely used in all chemical sciences to concisely summarize key information about the partitioning of electrons among atoms in materials. The objective of this article is to develop an atomic population... more
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      ChemistryComputational ChemistryQuantum ChemistryMolecular-Level Modeling
The DDEC6 method is one of the most accurate and broadly applicable atomic population analysis methods. It works for a broad range of periodic and non-periodic materials with no magnetism, collinear magnetism, and non-collinear magnetism... more
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      Quantum PhysicsComputational ChemistryQuantum ChemistryDensity-functional theory
Bond order quantifies the number of electrons dressed-exchanged between two atoms in a material and is important for understanding many chemical properties. Diatomic molecules are the smallest molecules possessing chemical bonds and play... more
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      Quantum PhysicsChemistryComputational ChemistryQuantum Chemistry
The sterically bulky compounds N,N′-bismesi-tyl phenanthrene-9,10-diimine [1] and imine−nitrone [2] were synthesized. To the best of our knowledge, this is the first report of the synthesis of a bulky steric imine−nitrone accessed from... more
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      ChemistryInorganic ChemistryOrganic ChemistryPhysical Organic Chemistry
Polarizabilities and London dispersion forces are important to many chemical processes. Force fields for classical atomistic simulations can be constructed using atom-in-material polarizabilities and C n (n ¼ 6, 8, 9, 10.) dispersion... more
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      Computational PhysicsQuantum PhysicsChemistryComputational Chemistry
We present two algorithms to compute system-specific polarizabilities and dispersion coefficients such that required memory and computational time scale linearly with increasing number of atoms in the unit cell for large systems. The... more
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      Scientific Computing (Computational Science)PhysicsChemistryComputational Chemistry
A host of important performance properties for metal-organic frameworks (MOFs) and other complex materials can be calculated by modeling statistical ensembles. The principle challenge is to develop accurate and computationally efficient... more
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      Scientific Computing (Computational Science)PhysicsChemistryComputational Chemistry
Developing greener technologies to produce chemicals has attracted much recent attention. For the selective oxidation of organic compounds, direct selective oxidation in which molecular O 2 is utilized as oxidant without using a... more
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      Chemical EngineeringChemistryComputational ChemistryQuantum Chemistry
Databases of experimentally-derived metal-organic framework (MOF) crystal structures are useful for large-scale computational screening to identify which MOFs are best-suited for particular applications. However, these crystal structures... more
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      Materials EngineeringComputational PhysicsMaterials ScienceQuantum Physics