Vibrational Frequencies calculated at PBEPBE/6-311G**
| Mode Number |
Symmetry |
Frequency (cm-1) |
Scaled Frequency (cm-1) |
IR Intensities (km mol-1) |
Raman Act (Å4/u) |
Dep P |
Dep U |
| 1 |
A1 |
1247 |
1236 |
458.45 |
|
|
|
| 2 |
A1 |
939 |
931 |
113.65 |
|
|
|
| 3 |
A1 |
674 |
668 |
0.53 |
|
|
|
| 4 |
A1 |
342 |
339 |
36.03 |
|
|
|
| 5 |
A1 |
203 |
201 |
19.66 |
|
|
|
| 6 |
A2 |
113 |
112 |
0.00 |
|
|
|
| 7 |
B1 |
804 |
797 |
10.11 |
|
|
|
| 8 |
B1 |
107 |
106 |
50.91 |
|
|
|
| 9 |
B2 |
1517 |
1503 |
684.12 |
|
|
|
| 10 |
B2 |
710 |
704 |
2.60 |
|
|
|
| 11 |
B2 |
373 |
369 |
72.59 |
|
|
|
| 12 |
B2 |
363 |
359 |
33.56 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 3695.4 cm
-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 3661.8 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 PBEPBE/6-311G**
Charges (e)
| Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
| 1 |
C |
0.476 |
|
|
|
| 2 |
O |
-0.633 |
|
|
|
| 3 |
O |
-0.498 |
|
|
|
| 4 |
O |
-0.498 |
|
|
|
| 5 |
Na |
0.577 |
|
|
|
| 6 |
Na |
0.577 |
|
|
|
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 |
7.814 |
7.814 |
| CHELPG |
|
|
|
|
| AIM |
|
|
|
|
| ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
| Primitive |
| | x | y | z |
| x |
-31.843 |
0.000 |
0.000 |
| y |
0.000 |
-3.727 |
0.000 |
| z |
0.000 |
0.000 |
-38.550 |
|
| Traceless |
| | x | y | z |
| x |
-10.704 |
0.000 |
0.000 |
| y |
0.000 |
31.470 |
0.000 |
| z |
0.000 |
0.000 |
-20.766 |
|
| Polar |
| 3z2-r2 | -41.531 |
| x2-y2 | -28.116 |
| 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 |
4.038 |
0.000 |
0.000 |
| y |
0.000 |
10.693 |
0.000 |
| z |
0.000 |
0.000 |
6.738 |
<r2> (average value of r
2) Å
2
| <r2> |
179.970 |
| (<r2>)1/2 |
13.415 |