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Functionalization methods

Mineva T, Russo N and Sicilia E 1998 Solvation effects on reaction profiles by the polarizable continuum model coupled with Gaussian density functional method J. Oomp. Ohem. 19 290-9... [Pg.864]

Labanowski J K and Andzelm J W (eds) 1991 Density Functional Methods in Chemistry (New York Springer)... [Pg.2199]

Weinert M, Wimmer E and Freeman A J 1982 Total-energy all-electron density functional method for bulk solids and surfaces Phys. Rev. B 26 4571-8... [Pg.2235]

Benesh G A and Liyanage L S G 1994 Surface-embedded Green-function method for general surfaces application to Aip 11) Phys. Rev. B 49 17 264... [Pg.2237]

Wachutka G, Fleszar A, Maca F and Scheffler M 1992 Self-consistent Green-function method for the calculation of electronic properties of localized defects at surfaces and in the bulk J. Phys. Condens Matter A 2831 Bormet J, Neugebauer J and Scheffler M 1994 Chemical trends and bonding mechanisms for isolated adsorbates on Al(111) Phys. Rev. B 49 17 242... [Pg.2237]

Williams A R, Feibelman P J and Lang N D 1982 Green s-function methods for electronic-structure calculations Phys. Rev. B 26 5433... [Pg.2237]

Fraaije, J.G.E.M., Van Vlimmeren, B.A.C., Maurits, N.M., Postma, M., Evers, O.A., Hoffmann, C., Altevogt, P., Goldbeck-Wood, G. The dynamic mean-field density functional method and its application to the mesoscopic dynamics of quenched block copolymer melts. J. Chem. Phys. 106 (1997) 4260-4269. [Pg.36]

Chapter 2 we worked through the two most commonly used quantum mechanical models r performing calculations on ground-state organic -like molecules, the ab initio and semi-ipirical approaches. We also considered some of the properties that can be calculated ing these techniques. In this chapter we will consider various advanced features of the ab Itio approach and also examine the use of density functional methods. Finally, we will amine the important topic of how quantum mechanics can be used to study the solid state. [Pg.128]

Hybrid Hartree-Fock/Density Functional Methods... [Pg.155]

Density Functional Methods for Studying the Solid State ... [Pg.173]

Johnson B G, P M W Gill and J A Pople 1993. The performance of a family of density functional methods. Journal of Chemical Physics 98 5612-5626. [Pg.181]

Density Functional Methods in Chemistry J. K. Labanowski, J. W. Andzelm, Eds., Springer-Verlag, New York (1991). [Pg.47]

Density Functional Methods in Physics R. M. Dreizler, J. du Providencia, Eds., Plenum, New York (1985). [Pg.47]

Green s function method of Korringa, Kohn, and Rostoker (sometimes denoted KKR)... [Pg.269]

Any orbital-based scheme can be used for crystal-structure calculations. The trend is toward more accurate methods. Some APW and Green s function methods use empirical parameters, thus edging them toward a semiempirical classification. In order of preference, the commonly used methods are ... [Pg.269]

DYNAMIC MEAN-FIELD DENSITY FUNCTIONAL METHOD... [Pg.274]

The dynamic mean-field density functional method is similar to DPD in practice, but not in its mathematical formulation. This method is built around the density functional theory of coarse-grained systems. The actual simulation is a... [Pg.274]

This shows that Schlieren optics provide a means for directly monitoring concentration gradients. The value of the diffusion coefficient which is consistent with the variation of dn/dx with x and t can be determined from the normal distribution function. Methods that avoid the difficulty associated with locating the inflection point have been developed, and it can be shown that the area under a Schlieren peak divided by its maximum height equals (47rDt). Since there are no unknown proportionality factors in this expression, D can be determined from Schlieren spectra measured at known times. [Pg.634]

To overcome these limitations, the hybrid QM-MM potential can employ ad initio or density function methods in the quantum region. Both of these methods can ensure a higher quantitative accuracy, and the density function methods offer a computaitonally less expensive procedure for including electron correlation [5]. Several groups have reported the development of QM-MM programs that employ ab initio [8,10,13,16] or density functional methods [10,41-43]. [Pg.222]

To date the majority of QM-MM applications have employed density functional methods ab initio or semiempirical methods in the quantum region. The energy tenns evaluated in these methods are generally similar, but there are specific differences. The relevant equations for the density functional based methods are described first, and this is followed by a description of the specific differences associated with the other methods. [Pg.223]

The use of QM-MD as opposed to QM-MM minimization techniques is computationally intensive and thus precluded the use of an ab initio or density functional method for the quantum region. This study was performed with an AMi Hamiltonian, and the first step of the dephosphorylation reaction was studied (see Fig. 4). Because of the important role that phosphorus has in biological systems [62], phosphatase reactions have been studied extensively [63]. From experimental data it is believed that Cys-i2 and Asp-i29 residues are involved in the first step of the dephosphorylation reaction of BPTP [64,65]. Alaliambra et al. [30] included the side chains of the phosphorylated tyrosine, Cys-i2, and Asp-i 29 in the quantum region, with link atoms used at the quantum/classical boundaries. In this study the protein was not truncated and was surrounded with a 24 A radius sphere of water molecules. Stochastic boundary methods were applied [66]. [Pg.230]

Figure 5 Optimization of the objective function in Modeller. Optimization of the objective function (curve) starts with a random or distorted model structure. The iteration number is indicated below each sample structure. The first approximately 2000 iterations coiTespond to the variable target function method [82] relying on the conjugate gradients technique. This approach first satisfies sequentially local restraints, then slowly introduces longer range restraints until the complete objective function IS optimized. In the remaining 4750 iterations, molecular dynamics with simulated annealing is used to refine the model [83]. CPU time needed to generate one model is about 2 mm for a 250 residue protein on a medium-sized workstation. Figure 5 Optimization of the objective function in Modeller. Optimization of the objective function (curve) starts with a random or distorted model structure. The iteration number is indicated below each sample structure. The first approximately 2000 iterations coiTespond to the variable target function method [82] relying on the conjugate gradients technique. This approach first satisfies sequentially local restraints, then slowly introduces longer range restraints until the complete objective function IS optimized. In the remaining 4750 iterations, molecular dynamics with simulated annealing is used to refine the model [83]. CPU time needed to generate one model is about 2 mm for a 250 residue protein on a medium-sized workstation.
J Li, L Noodleman, DA Case. Electronic structure calculations Density functional methods with applications to transition metal complexes. In EIS Lever, ABP Lever, eds. Inorganic Electronic Structure and Spectroscopy, Vol. 1. Methodology. New York Wiley, 1999, pp 661-724. [Pg.411]

Freezing transitions have been examined in recent years by density functional methods [306-313]. Here we review the results [298] of a modification of the Ramakrishnan-Yussouff theory to the model fluid with Hamiltonian (Eq. (25)) a related study of phase transitions in a system of hard discs in two dimensions with Ising internal states which couple anti-ferromagnetically to their neighbors is shown in Ref. 304. First, a combined... [Pg.99]

Sec. Ill is concerned with the description of models with directional associative forces, introduced by Wertheim. Singlet and pair theories for these models are presented. However, the main part of this section describes the density functional methodology and shows its application in the studies of adsorption of associating fluids on partially permeable walls. In addition, the application of the density functional method in investigations of wettability of associating fluids on solid surfaces and of capillary condensation in slit-like pores is presented. [Pg.171]

Here r is the distance between the centers of two atoms in dimensionless units r = R/a, where R is the actual distance and a defines the effective range of the potential. Uq sets the energy scale of the pair-interaction. A number of crystal growth processes have been investigated by this type of potential, for example [28-31]. An alternative way of calculating solid-liquid interface structures on an atomic level is via classical density-functional methods [32,33]. [Pg.858]

Recently, a third class of electronic structure methods have come into wide use density functional methods. These DFT methods are similar to ab initio methods in many ways. DFT calculations require about the same amount of computation resources as Hartree-Fock theory, the least expensive ab initio method. [Pg.6]

Whether density functional methods are ab initio methods or not is a controversial question which we will not attempt to address. [Pg.6]


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Ab Initio, Density-Functional, Semiempirical, and Molecular-Mechanics Methods

Active sensing transfer function methods

Advanced ab initio Methods, Density Functional Theory and Solid-state Quantum Mechanics

Amsterdam Density Functional method

Analytical methods Continuous functions

Atoms density functional method

Autocorrelation function method

Autocovariance function methods

B3LYP density functional methods

B3LYP functional method

Barrier function methods

Basis functions semiempirical methods

Best Synthetic Methods Functional Group Protection

Best Synthetic Methods Functional Group Transformations

Best Synthetic Methods Functionalization of Aromatic and

Block localized wave function method

Brown function method

Carbon nanotubes functionalization methods

Centroid methods distribution function

Centroid methods time correlation functions

Chain transfer agent functional polymer method

Class-modelling methods potential functions

Cluster expansion methods wave-function

Collocation Method trial function

Computational Methods Involving Functionalization

Computational chemistry density functional method

Computational methods density functional

Computational methods density functional theory

Constrained density functional method

Correlating functions correlated methods

Correlation function first-zero method

Correlation function maximum entropy method

Coupled pair functional method

Crystal orbitals from Bloch functions (LCAO CO method)

DFTB method functional-based tight-binding

Damage function method

Densely functionalized molecules, methods

Density function method

Density function method Kohn-Sham orbital

Density functional elongation method

Density functional full-potential linearized augmented plane wave method

Density functional methods

Density functional methods, DFT

Density functional methods, nonlinear optics

Density functional theories methods development

Density functional theory (DFT) methods

Density functional theory B3LYP method

Density functional theory Kohn-Sham method

Density functional theory electronic structure methods

Density functional theory gradient-corrected methods

Density functional theory mathematical methods

Density functional theory methods

Density functional theory methods calculations

Density functional theory methods determination

Density functional theory methods time-dependent extension

Density functional-based tight-binding method

Density functionals Slater-Kohn-Sham-type methods

Density functionals connection methods

Density-Based Methods (Potential Functions)

Density-based methods Gaussian functions

Density-based methods potential function method

Density-functional LCAO Methods for Solids

Density-functional theory related methods

Density-functional tight-binding DFTB) method

Density-functional tight-binding method

Diffusion Monte Carlo method trial functions

Direct methods discrete-valued functions

Discrete variational methods basis functions

Dynamic methods function derivation

Electron correlation method Density-functional theory Mpller-Plesset

Electron correlation method, Density-functional theory

Electronic states density functional method

Electronic structure Green-function methods

Electronic structure methods B3LYP functional

Electronic structure methods exchange-correlation functional

Electronic structure methods periodic density functional theory

Energy distribution functions numerical methods

Euler-Lagrange functional method

Excess Gibbs Function - Experimental Methods

Explicitly correlated methods Hylleraas function

Explicitly correlated methods correlating functions

Finite element method shape functions

Force field methods functional forms

Force field methods functional groups

Forcing function method

Free-energy functional method, interface

Free-energy functional method, interface solutions

Fukui function computing methods

Fukui function finite difference method

Function Newton s method

Function Secant method

Function approximation method

Function inverse rational interpolation method

Function prediction method

Function regula Falsi method

Function studies, HPLC method

Function-Based Methods

Functional Analysis modified methods

Functional Methods in Biomolecular Modeling

Functional Theory Methods

Functional Theory Methods for Electrocatalysis

Functional assays methods

Functional bioassays methods

Functional counterpoise method

Functional foods, in carbohydrates HPAEC-PAD method

Functional group analysis indirect methods

Functional group direct methods

Functional groups, determination halogenation methods

Functional groups, determination hydrogenation methods

Functional groups, determination kinetic method

Functional groups, determination spectrophotometric methods

Functional groups, determination titration method

Functional initiator method

Functional markers method

Functional methodology: general methods

Functional relationship method

Functional terminator method

Functionalization methods advantages

Functionalization methods aromatic side groups

Functionalization methods avoidance

Functionalization methods coordination sites

Functionalization methods functional groups formed

Functionalization methods lithiation reactions

Functionalization methods other reactions

Functionalization methods protection-deprotection approaches

Functionalization methods reactions

Functionalization methods soft functionality

Functionalization methods sulfonation

Functionalization methods surface reactions

Functionalization methods unreactive poly

General functions Newton-Raphson methods

General functions Simplex method

General functions steepest descent method

Green function method

Green function methods time-ordered

Green function power methods

Green-function cellular method

Green’s function method

Hartree-Fock method single determinant wave function

Homogeneous Function Method

Homogenous solution methods, functional

Hybrid Density Functional-Wavefunction Methods

Hybrid functional method

Hylleraas function methods

Infrared Spectroscopy An Instrumental Method for Detecting Functional Groups

Input-function method

Korringa-Kohn-Rostoker Green-function method

Local-density functional method

Lyapunov function method

MWCNTs functionalization method

Mathematical methods approximating functions

Mathematical methods functionals

Mathematical methods functions

Membrane components, methods function

Memory function Lanczos method

Memory function methods

Memory function moment method

Memory function recursion method

Method Characteristic Parameters of a Linear Calibration Function

Method approximate density functional theory

Method functional

Method of Lyapunovs Function

Method test function

Methods for Introducing the Carboxy Functional Group

Methods for Introduction of Fluorine-Functionality into Molecules

Methods of Analysis for Functional Foods and Nutraceuticals

Methods, Pulse Sequences, and the Point Spread Function

Micro-Probability Density Function Methods

Modified coupled pair functional method

Molecular density functional methods

Molecular function conjugate gradient methods

Molecular function iterative methods

Molecular modelling solid-state density functional methods

Monte Carlo method time correlation function

Monte Carlo methods density functional theory

Multi-determinant wave functions electron correlation methods

Multireference wave functions, CASPT2 method

Multiscale reference function method

Nano-emulsion formation by low energy methods and functional properties

New Methods for Functional Group Conversion

Nonequilibrium Green function method

Numerical methods approximation function

Numerical methods basis function

Objective Function Using a Valuation Method

Objective function methods, optimization

Other methods for functionalization of remote sites

Pair correlation function method

Pair distribution function methods

Parabolic Function Method

Partition function methods

Partition function, path integral method

Penalty function methods

Penalty function methods algorithm

Penalty function methods multipliers)

Penalty-Barrier Function Methods

Performance and Properties of Density Functional Methods

Probability Generating Functions in a Transformation Method

Probability density function (PDF method

Probability density function method

Protein function evolution combinatorial methods

Pulse function stimulus- response method

Purification-functionalization processing method

Quantum Monte Carlo method localization function

Quantum Monte Carlo method trial functions

Quantum density functional methods

Quantum mechanics wave-function-based methods

Radial Distribution Function Method

Radial distribution function simulation methods

Random Brown function method

Relativistic methods within density functional theory

Results from 2D Autocovariance Function Method

Rietveld method minimized function

Scoring Functions - Methods to Estimate Ligand-Receptor Binding

Self-consistent charge density functional tight-binding method

Self-consistent field method Slater determinant orbital function

Self-consistent field method density functional theory hybrid

Series Solution Methods and Special Functions

Shielding density functional methods

Single-reference methods time-dependent density functional

Solid-state density functional methods

Spin density functional methods

Step function stimulus- response method

Step-function method

Structural function method

Structure function method

Summary of Methods Used to Synthesize a Particular Functional Group

Surface functional groups Boehm method

Surface functionalities, control methods

Symmetry energy Green function method

Synthetic Methods Silicon-Containing Polymers, Functionalized Polyolefins, and Telechelics

Target Function Method

Tether-directed functionalization methods

The Block-Localized Wave Function and Related Methods

The Coupled Pair Functional Method

The Density Functional Method

The Development of Modern Methods to Calculate Reduced Isotopic Partition Function Ratios

The Green Function Method

The Lyapunov function method

The Preference Functions Method

Tight-binding method basis functions

Time-dependent density functional theory TDDFT) method

Transfer Function Method (2-microphone)

Transfer function methods

Transference function method

Trial variation function method)

Two Methods of Preparing Thermosetting Hydroxyl Functional Acrylics

UNIFAC method functional group activity coefficient

Value function methods

Variable target function method

Virtual screening methods Scoring functions

Voltage divider transfer function method

Wave Function Electronic Structure Methods

Wave function method

Wave functions, molecular, correlated methods

Wave-function based methods

Wave-function based methods Hartree-Fock

Wave-function based methods configuration interactions

Wave-function based methods coupled cluster

Wave-function based methods multireference

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