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Determine the raw spin density alone, not mapped<br />

onto the charge density surface.<br />

1. On the Surfaces toolbar, point to Surface, and<br />

select Total Spin Density.<br />

2. From the Surfaces menu, point to Surfaces, and<br />

choose Wire Mesh.<br />

3. Set Isospin to 0.001.<br />

There is a large concentration of unpaired spin over<br />

each of the terminal carbons and a small<br />

concentration over the central hydrogen. This extra<br />

little bit of spin density is not very significant—you<br />

could not even see it when looking at the mapped<br />

display earlier, but the calculations show that it is, in<br />

fact, there.<br />

Tutorial 10:<br />

<strong>Com</strong>puting Partial<br />

Charges<br />

To compute the charge of a molecule, the number<br />

of electrons contributed by each of its atoms can be<br />

subtracted from the number of protons in the<br />

nucleus of each of its atoms. Each atom of a<br />

molecule contributes an integral charge to the<br />

molecule as a whole. This integral contribution is<br />

known as the formal charge of each atom.<br />

Certain types of atoms in Chem3D deal with this<br />

explicitly by having non-integral formal charges.<br />

For example, the two oxygen atoms in nitrobenzene<br />

each have charges of -0.500 because there<br />

is one electron that is shared across the two N-O<br />

bonds.<br />

However, as shown above, electrons in molecules<br />

actually occupy areas of the molecule that are not<br />

associated with individual atoms and can also be<br />

attracted to different atomic nucleii as they move<br />

across different atomic orbitals. In fact, bonds are a<br />

representation of the movement of these electrons<br />

between different atomic nucleii.<br />

Because electrons do not occupy the orbitals of a<br />

single atom in a molecule, the actual charge of each<br />

atom is not integral, but is based on the average<br />

number of electrons in the model that are<br />

occupying the valence shells of that atom at any<br />

given instant. By subtracting this average from the<br />

number of protons in the molecule, the partial<br />

charge of each atom is determined.<br />

Visualizing the partial charge of the atoms in a<br />

molecule is another way to understand the model's<br />

reactivity. Typically the greater the partial charge on<br />

an atom, the more likely it is to form bonds with<br />

other atoms whose partial charge is the opposite<br />

sign.<br />

Using the theories in Extended Hückel, MOPAC,<br />

or Gaussian, you can compute the partial charges<br />

for each atom. In the following example, the partial<br />

charges for phenol are computed by Extended<br />

Hückel.<br />

1. From the File menu, choose New.<br />

Click the Text Building tool , click in the<br />

model window, type PhOH in the text box, and<br />

press the Enter key.<br />

A molecule of phenol is created.<br />

To compute Extended Hückel charges:<br />

• From the Calculations menu, point to Extended<br />

Hückel and choose Calculate Charges.<br />

Messages are added to the Output box, listing<br />

the partial charge of each atom.<br />

48 •Chem3D Tutorials <strong>CambridgeSoft</strong><br />

Tutorial 10: <strong>Com</strong>puting Partial Charges

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