Vibrational Frequencies calculated at mPW1PW91/6-31G**
| Mode Number |
Symmetry |
Frequency (cm-1) |
Scaled Frequency (cm-1) |
IR Intensities (km mol-1) |
Raman Act (Å4/u) |
Dep P |
Dep U |
| 1 |
A' |
3988 |
3794 |
0.00 |
|
|
|
| 2 |
A' |
708 |
674 |
0.00 |
|
|
|
| 3 |
A' |
656 |
624 |
0.00 |
|
|
|
| 4 |
A" |
312 |
297 |
417.93 |
|
|
|
| 5 |
A" |
261 |
249 |
64.16 |
|
|
|
| 6 |
E' |
3986 |
3793 |
106.35 |
|
|
|
| 6 |
E' |
3986 |
3793 |
106.35 |
|
|
|
| 7 |
E' |
956 |
910 |
150.92 |
|
|
|
| 7 |
E' |
956 |
910 |
150.91 |
|
|
|
| 8 |
E' |
682 |
649 |
241.63 |
|
|
|
| 8 |
E' |
682 |
649 |
241.64 |
|
|
|
| 9 |
E' |
230 |
219 |
31.79 |
|
|
|
| 9 |
E' |
230 |
219 |
31.79 |
|
|
|
| 10 |
E" |
330 |
314 |
0.00 |
|
|
|
| 10 |
E" |
330 |
314 |
0.00 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 9146.2 cm
-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 8702.6 cm
-1
See section
III.C.1 List or set vibrational scaling factors
to change the scale factors used here.
See section
III.C.2
Calculate a vibrational scaling factor for a given set of molecules
to determine the least squares best scaling factor.
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G**
Charges (e)
| Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
| 1 |
Al |
1.045 |
|
|
|
| 2 |
O |
-0.685 |
|
|
|
| 3 |
O |
-0.685 |
|
|
|
| 4 |
O |
-0.685 |
|
|
|
| 5 |
H |
0.336 |
|
|
|
| 6 |
H |
0.336 |
|
|
|
| 7 |
H |
0.336 |
|
|
|
Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section
VII.A.3)
| |
x |
y |
z |
Total |
| |
0.000 |
0.000 |
0.000 |
0.000 |
| CHELPG |
|
|
|
|
| AIM |
|
|
|
|
| ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
| Primitive |
| | x | y | z |
| x |
-27.073 |
0.000 |
0.000 |
| y |
0.000 |
-27.073 |
0.000 |
| z |
0.000 |
0.000 |
-26.827 |
|
| Traceless |
| | x | y | z |
| x |
-0.123 |
0.000 |
0.000 |
| y |
0.000 |
-0.123 |
0.000 |
| z |
0.000 |
0.000 |
0.246 |
|
| Polar |
| 3z2-r2 | 0.492 |
| x2-y2 | 0.000 |
| xy | 0.000 |
| xz | 0.000 |
| yz | 0.000 |
|
Polarizabilities
Components of the polarizability tensor.
Units are
Å
3 (Angstrom cubed)
Change units.
| |
x |
y |
z |
| x |
4.356 |
-0.000 |
0.000 |
| y |
-0.000 |
4.356 |
0.000 |
| z |
0.000 |
0.000 |
3.033 |
<r2> (average value of r
2) Å
2
| <r2> |
102.595 |
| (<r2>)1/2 |
10.129 |