HBr
The first molecule that calculations were run on was HBr due to the fact that it was the simplest molecule and would take the least amount of time. A geometry optimization was run first, followed by a dipole moment calculation and a potential energy vs. bond length calculation.
 
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Figure 1.1 (HBr)

Figure 1.1 to the right is the result from the geometry optimization. The calculation yielded a result of 1.42 Angstroms. The literature value for bond length is 1.4144 giving an error of .4%.



 
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Figure 1.2 (HBrVib2635.36)

Figure 1.2 to the left shows the only vibrational mode of HBr at 2635.36 cm^-1.



 
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Figure 1.3 (HBrHOMO)

Figure 1.3 shows the highest occupied molecular orbital.



 
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Figure 1.5 (HBrLUMO)

Figure 1.4 shows the lowest unoccupied molecular orbital.



 
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Figure 1.6 (HBr Electrostatic Potential)

Figure 1.6 shows the electrostatic potential of HBr.



 
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Figure 1.7 (HBr Partial Atomic Charge)

Figure 1.7 shows the partial atomic charge on each of the atoms in HBr.





Molecular Orbital Diagram

Energy
Bonding State

sp
.1362
Anti Bonding
p
-.4349
Non Bonding
sp
-.5758
Bonding
s
-1.0317
Non Bonding

Level of Calculation
Dipole Moment (Debye)
3-21
1.316824
6-31
1.432530
DZV
1.501778
    Experimental dipole moment is .82 D. (This came from the NIST database.) This shows that the larger bases set the worst the data. A dipole moment optimization calculation was done using defuse functions. The best estimate of the dipole moment was given using a 203 combination on the 3-21 bases set, giving us a value of .831327 D.

the
                                   Potential energy vs.
    With an increase in the basis set the potential energy of the bond stretch increased.

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