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Chem3D Users Manual - CambridgeSoft

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Administrator<br />

• Semiempirical Extended Hückel, MINDO/3,<br />

MNDO, MNDO-d, AM1 and PM3 methods<br />

through <strong>Chem3D</strong> and CS MOPAC.<br />

• Ab initio methods through the <strong>Chem3D</strong><br />

Gaussian or GAMESS interface.<br />

Uses of Computational<br />

Methods<br />

Computational methods calculate the potential<br />

energy surfaces (PES) of molecules. The potential<br />

energy surface is the embodiment of the forces of<br />

interaction among atoms in a molecule. From the<br />

PES, structural and chemical information about a<br />

molecule can be derived. The methods differ in the<br />

way the surface is calculated and in the molecular<br />

properties derived from the energy surface.<br />

The methods perform the following basic types of<br />

calculations:<br />

• Single point energy calculation—The<br />

energy of a given spacial arrangement of the<br />

atoms in a model or the value of the PES for a<br />

given set of atomic coordinates.<br />

• Geometry optimization—A systematic<br />

modification of the atomic coordinates of a<br />

model resulting in a geometry where the net<br />

forces on the structure sum to zero. A<br />

3-dimensional arrangement of atoms in the<br />

model representing a local energy minimum (a<br />

stable molecular geometry to be found without<br />

crossing a conformational energy barrier).<br />

• Property calculation—Predicts certain<br />

physical and chemical properties, such as<br />

charge, dipole moment, and heat of formation.<br />

Computational methods can perform more<br />

specialized functions, such as conformational<br />

searches and molecular dynamics simulations.<br />

Choosing the Best Method<br />

Not all types of calculations are possible for all<br />

methods and no one method is best for all<br />

purposes. For any given application, each method<br />

poses advantages and disadvantages. The choice of<br />

method depend on a number of factors, including:<br />

• The nature of the molecule<br />

• The type of information sought<br />

• The availability of applicable experimentally<br />

determined parameters (as required by some<br />

methods)<br />

• Computer resources<br />

The three most important of the these criteria are:<br />

• Model size—The size of a model can be a<br />

limiting factor for a particular method. The<br />

limiting number of atoms in a molecule<br />

increases by approximately one order of<br />

magnitude between method classes from ab<br />

initio to molecular mechanics. Ab initio is limited<br />

to tens of atoms, semiempirical to hundreds,<br />

and molecular mechanics to thousands.<br />

• Parameter Availability—Some methods<br />

depend on experimentally determined<br />

parameters to perform computations. If the<br />

model contains atoms for which the<br />

parameters of a particular method have not<br />

been derived, that method may produce invalid<br />

predictions. Molecular mechanics, for example,<br />

relies on parameters to define a force-field.<br />

Any particular force-field is only applicable to<br />

the limited class of molecules for which it is<br />

parametrized.<br />

• Computer resources—Requirements<br />

increase relative to the size of the model for<br />

each of the methods.<br />

Ab initio: The time required for performing<br />

computations increases on the order of N 4 ,<br />

where N is the number of atoms in the model.<br />

130•Computation Concepts<br />

<strong>CambridgeSoft</strong><br />

Computational Methods Overview

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