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A time-dependent molecular orbital approach to ion-solid surface collisions

  • 150 Pages
  • 2.84 MB
  • English
Statementby Eric Quinn Feng
The Physical Object
Paginationviii, 150 leaves :
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Open LibraryOL24590391M

A TIME-DEPENDENT MOLECULAR ORBITAL APPROACH TO ION-SOLID SURFACE COLLISIONS By Eric Quinn Feng May Chairman: David A. Micha Major Department: Physics A time-dependent molecular orbital method has been developed to study charge transfer in collisions of ions with metal surfaces at energies between I au and au.

A time-dependent molecular orbital method has been developed to study charge transfer in collisions of ions with metal surfaces at energies between 1 au and au. A set of localized basis functions, consisting of generalized Wannier functions for the surface and s- and p-atomic functions for the ion, is used to separate the system into primary and secondary : Eric Quinn Feng.

A time-dependent molecular orbital approach to ion-solid surface collisions. By Eric Quinn Feng. Abstract (Thesis) Thesis (Ph. D.)--University of Florida, (Bibliography) Includes bibliographical references (leaves )(Statement of Responsibility) by A time-dependent molecular orbital approach to ion-solid surface collisions book Quinn FengAuthor: Eric Quinn Feng.

The time-dependent Dirac equation is considered for an electron moving in electromagnetic potentials generated by two Coulomb sources that pass each other at a relativistic speed.

For nonrelativistic collisions, it is convenient to distinguish low-energy and high-energy collisions, depending on whether the projectile velocity is smaller or larger than the velocity of the active electron.

The content of an ab initio time-dependent theory of quantum molecular dynamics of electrons and atomic nuclei is presented.

Employing the time-dependent variational principle and a family of approximate state vectors yields a set of dynamical equations approximating the time-dependent Schroedinger equation. Molecular Orbitals. Hybridization. The Electron Localization Function. Band Theory.

The Linear Chain of Hydrogen Atoms. The Peierls Distortion. Crystal Orbital Overlap Population (COOP) Bonds in Two and Three Dimensions. Bonding in Metals. Problems.

Recent publications have demonstrated how to implement a NOR logic gate with a single molecule using its interaction with two surface atoms as logical inputs [W. Soe et al., ACS Nano,5, ]. Joel M. Cohen, Ph.D., Chemistry,"Computational Aspects of Electronically Diabatic Molecular Collisions" Feng, Ph.D., Physics,"A Time-Dependent Molecular Orbital Approach to Ion- Solid Surface Collisions" Keith Runge, Ph.D.

Physics,"Time-Dependent Many-Electron Theory of Atomic Interactions". Andrés Reyes, Félix Moncada and Jorge Charry, The any particle molecular orbital approach: A short review of the theory and applications, International Journal of Quantum Chemistry,2, Cited by: Molecular Orbital Expansion Method 3 Hyperspherical Approach 3 §3 Time-Dependent Approaches 5 The Molecular Close-Coupling Method 5 Direct Integration of the Time-Dependent Schrodinger Equation 7¨ Perturbation Approaches 8 Relativistic Ion–Atom Collisions 9 §4 Atomic Collisions.

In our opinion, the most promising approach to the problem of electronic stopping power at low collision energies is the one based on the time-dependent density functional theory.

The semi-empirical codes are very effective, the most extended of which is SRIM [37].Author: A.N. Zinoviev, Babenko, D.S. Meluzova, A.P. Shergin. Prelude to Molecular Orbital Theory; Constructing Molecular Orbitals from Atomic Orbitals; Orbital Symmetry; σ, π, and δ orbitals Inorganic compounds use s, p, and d orbitals (and more rarely f orbitals) to make bonding and antibonding combinations.

These combinations result in σ, π, and δ bonds (and antibonds). Time-dependent many-electron phenomena in quantum molecular dynamics Article in Molecular Physics () November with 6 Reads How we measure 'reads'.

Micha and K. Runge "Electronic Energy and Charge Transfer in Slow Atomic Collisions: A Time-Dependent Molecular Orbital Approach", in "Time-Dependent Quantum Molecular Dynamics", NATO ASI Series B: Physics vol.eds.

Broekhove and L. A Time-Dependent Molecular Orbital Approach to Ion- Solid Surface Collisions: Fisher, Matt: Spring: Furic, Ivan: Search for the Standard Model Higgs Boson Decaying to a Bottom Quark Pair with the CMS Detector: Fleck, Robert: Hunter, James: Magnetic Braking during Star Formation: Flesch, Terry: Wood, Frank: Flare-Related Color.

In molecular orbital theory, we describe the π orbital by this same shape, and a π bond exists when this orbital contains electrons. Electrons in this orbital interact with both nuclei and help hold the two atoms together, making it a bonding orbital.

MOLECULAR ORBITAL APPROACH Basis of VB approach: overlap orbitals in each bond separately. Each bond is LOCALISED between two atoms. In molecular orbital (MO) approach - overlap orbitals for the whole molecule - bonding is therefore DELOCALISED.

We will look first at DIATOMIC MOLECULES and only later move on to POLYATOMIC Size: 1MB. Electro-Nuclear Quantum Mechanics Beyond the Born-Oppenheimer Approximation.

Towards a Quantum Electronic Theory of Chemical Reaction Mechanisms D.A.

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and Runge, K. () Electronic energy and charge transfer in slow atomic collisions: A time dependent molecular orbital approach, in Electro-Nuclear Quantum Mechanics Beyond the Born Cited by: 2. Use of molecular orbital (MO) theory allows for an understanding of the observed properties (shape, reactivity) of molecules.

The tag should be applied to all questions related to MO theory, from questions about the qualitative use of the theory to questions about the underlying quantum mechanics and applications in computational chemistry. That can be occupied by two electrons of a covalent bond is called a bonding orbital who's energy is blank than that of atomic orbitals from which it formed Sigma When two atomic orbitals combine to form a molecular orbital that is symmetrical around the axis connecting two atomic nuclei a.

3 5. Molecular Orbitals however, there can be nodes in bonding MO’s from p- and d-orbitals. MO’s from p-Orbitals 5. Molecular Orbitals MO’s from d-OrbitalsFile Size: 2MB.

Molecular Orbital Theory MO–LCAO: Molecular Orbital–Linear Combination of Atomic Orbitals Lewis Dot Structures don’t work for excited states; sometimes they don’t even predict the ground state accurately: Example: O 2 expected Lewis Dot Structrure: O O. This lecture will offer you a simple explanation regarding Molecular orbital theory and how to calculate bond order, magnetic character and moments, etc of.

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The orbitals are described completely by specifying three quantum numbers, but only two are used in this book. The principal quantum number (symbolized n) is a whole number, 1 or greater, that identifies the main energy shell of the orbital, with 1 being closest to the nucleus and each subsequent level farther from the second quantum number, known as the azimuthal quantum number.

In chemistry, a molecular orbital (MO) is a mathematical function describing the wave-like behavior of an electron in a function can be used to calculate chemical and physical properties such as the probability of finding an electron in any specific region.

The term orbital was introduced by Robert S. Mulliken in as an abbreviation for one-electron orbital wave function. Molecular orbital theory (MO theory) provides an explanation of chemical bonding that accounts for the paramagnetism of the oxygen molecule. It also explains the bonding in a number of other molecules, such as violations of the octet rule and more molecules with more complicated bonding (beyond the scope of this text) that are difficult to describe with Lewis structures.

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Molecular Orbital ~alculat ions John D. Roberts Professor of Organic Chemistry California Institute of Technology Illustrated by the Author THE BENJAMINICUMMIMGS PUBLlSHING COMPANY, INC. ADVANCED BOOK PROGRAM Reading, Massachusetts London. File Size: 3MB. Title: Molecular-orbital approach to ion-atom collisions with multiply charged projectiles: Authors: Eichler, J.; Fritsch, W.; Wille, U.

Publication: Abstracts of papers from the Eleventh International Conference on the Physics of Electronic and Atomic Collisions, XI ICPEAC, held August 29 - September 4,in Kyoto, Japan.

Like an atomic orbital, a molecular orbital is full when it contains two electrons with opposite spin. We will consider the molecular orbitals in molecules composed of two identical atoms (H 2 or Cl 2, for example).

Such molecules are called homonuclear diatomic molecules. In these diatomic molecules, several types of molecular orbitals occur. eigenvectors are the coefficients of the molecular orbitals, written as sums of AOs: N ψα() = ∑c i αφ i r AO (r) i=1 In general, we will obtain N molecular orbitals out of N atomic orbitals.

This step is precisely the same as what we did for H2+, just generalized to the N­orbital case. We note that for File Size: KB. An introduction to Molecular Orbital TheoryMolecular Orbital Theory Lecture 1 The Bohr Model Prof G.

W. Watson Lloyd Institute [email protected] Adsorption / Emission spectra for Hydrogen Johann Balmer () measured line spectra for hydrogen nm (uv), nm (uv), nm (violet), nm (blue), and nm (red).1s orbital always retains the same sign.

The 2s orbital passes through a null point and changes sign afterwards (Figure ). The surface on which the 2s orbital becomes zero is termed a nodal surface.

The number of nodal surfaces increases with increasing energy: thus the 1s orbital has none, the 2s orbital has one, the 3s has two, etc. Size: KB.A molecular orbital higher in energy than any of the atomic orbitals from which it is derived; when populated with electrons, lends instability to a molecule or .