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Chem3D Users Manual - CambridgeSoft

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Administrator<br />

bond length between two atoms when one of the<br />

atoms is attached to a third atom which is<br />

electronegative.<br />

For example, the carbon-carbon single bond length<br />

in ethane is different than that in ethanol. The MM2<br />

parameter set has only a single parameter for<br />

carbon-carbon single bond lengths (1.523Å). The<br />

use of electronegativity correction parameters<br />

allows the C-C bond in ethanol to be corrected. The<br />

electronegativity parameter used in the<br />

Electronegativity Corrections table is the 1-1-6<br />

angle type, where atom type 1 is a C Alkane and<br />

atom type 6 is an O Alcohol. The value of this<br />

parameter is -0.009Å. Thus the C-C bond length in<br />

ethanol is 0.009Å shorter than the standard C-C<br />

bond length.<br />

MM2 Constants<br />

The MM2 Constants table (MM2 Constants.xml)<br />

contains parameters which <strong>Chem3D</strong> uses to<br />

compute the MM2 force field.<br />

Cubic and Quartic Stretch<br />

Constants<br />

Integrating the Hooke's Law equation provides the<br />

Hooke's Law potential function which describes<br />

the potential energy of the ball and spring model.<br />

The shape of this potential function is the classical<br />

potential well.<br />

dV<br />

–------ = F=<br />

– dx<br />

dx<br />

The Hooke's Law potential function is quadratic,<br />

thus the potential well created is symmetrical. The<br />

real shape of the potential well is asymmetric and is<br />

defined by a complicated function called the Morse<br />

Function, but the Hooke's Law potential function<br />

works well for most molecules.<br />

x x<br />

Vx ( ) = dV=<br />

k xdx=<br />

∫° 0<br />

∫° 0<br />

1<br />

--kx 2<br />

2<br />

Certain molecules contain long bonds which are<br />

not described well by Hooke's Law. For this reason<br />

the MM2 force field contains a cubic stretch term.<br />

The cubic stretch term allows for an asymmetric<br />

shape of the potential well, thereby allowing these<br />

long bonds to be handled. However, the cubic<br />

stretch term is not sufficient to handle abnormally<br />

long bonds. Thus the MM2 force field contains a<br />

quartic stretch term to correct for problems caused<br />

by these abnormally long bonds.<br />

Type 2 (-CHR-) Bending<br />

Force Parameters for C-C-C<br />

Angles<br />

-CHR- Bending K for 1-1-1 angles -CHR- Bending<br />

K for 1-1-1 angles in 4-membered rings -CHR-<br />

Bending K for 22-22-22 angles in 3-membered<br />

rings<br />

These constants are distinct from the force<br />

constants specified in the Angle Bending table. The<br />

bending force constant (K) for the 1-1-1 angle (1 is<br />

the atom type number for the C Alkane atom type)<br />

listed in the MM2 Angle Bending parameters table<br />

is for an alkane carbon with two non-hydrogen<br />

groups attached. Angle bending parameters for<br />

carbons with one or two attached hydrogens differ<br />

from those for carbons with no attached<br />

hydrogens. Because carbons with one or two<br />

attached hydrogens frequently occur, separate force<br />

constants are used for these bond angles.<br />

The -CHR- Bending K for 1-1-1 angles allows more<br />

accurate force constants to be specified for the<br />

Type 1 (-CH2-) and Type 2 (-CHR-) interactions. In<br />

addition, the -CHR- Bending K for 1-1-1 angles in<br />

282• Parameter Tables <strong>CambridgeSoft</strong><br />

MM2 Constants

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