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 |
1091 |
1081 |
4.19 |
1775.62 |
0.29 |
0.45 |
| 2 |
A1 |
420 |
416 |
32.84 |
344.38 |
0.22 |
0.36 |
| 3 |
B2 |
346 |
343 |
0.00 |
475.95 |
0.75 |
0.86 |
Unscaled Zero Point Vibrational Energy (zpe) 928.3 cm
-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 919.9 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 |
Na |
0.643 |
|
|
|
| 2 |
O |
-0.321 |
|
|
|
| 3 |
O |
-0.321 |
|
|
|
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 |
7.658 |
7.658 |
| CHELPG |
|
|
|
|
| AIM |
|
|
|
|
| ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
| Primitive |
| | x | y | z |
| x |
-15.516 |
0.000 |
0.000 |
| y |
0.000 |
-18.737 |
0.000 |
| z |
0.000 |
0.000 |
-11.401 |
|
| Traceless |
| | x | y | z |
| x |
-0.446 |
0.000 |
0.000 |
| y |
0.000 |
-5.279 |
0.000 |
| z |
0.000 |
0.000 |
5.725 |
|
| Polar |
| 3z2-r2 | 11.450 |
| x2-y2 | 3.221 |
| 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 |
1.575 |
0.000 |
0.000 |
| y |
0.000 |
5.164 |
0.000 |
| z |
0.000 |
0.000 |
3.446 |
<r2> (average value of r
2) Å
2
| <r2> |
44.210 |
| (<r2>)1/2 |
6.649 |