Vibrational Frequencies calculated at PBE1PBE/6-31+G**
| 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 |
1363 |
1302 |
613.26 |
|
|
|
| 2 |
A1 |
1025 |
980 |
95.06 |
|
|
|
| 3 |
A1 |
705 |
673 |
0.96 |
|
|
|
| 4 |
A1 |
349 |
334 |
50.88 |
|
|
|
| 5 |
A1 |
208 |
199 |
25.38 |
|
|
|
| 6 |
A2 |
114 |
109 |
0.00 |
|
|
|
| 7 |
B1 |
859 |
821 |
19.13 |
|
|
|
| 8 |
B1 |
122 |
116 |
54.65 |
|
|
|
| 9 |
B2 |
1615 |
1543 |
790.98 |
|
|
|
| 10 |
B2 |
743 |
710 |
8.85 |
|
|
|
| 11 |
B2 |
377 |
360 |
108.56 |
|
|
|
| 12 |
B2 |
368 |
352 |
4.97 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 3924.5 cm
-1
Scaled (by 0.9553) Zero Point Vibrational Energy (zpe) 3749.1 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 PBE1PBE/6-31+G**
Charges (e)
| Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
| 1 |
C |
0.737 |
|
|
|
| 2 |
O |
-0.978 |
|
|
|
| 3 |
O |
-0.703 |
|
|
|
| 4 |
O |
-0.703 |
|
|
|
| 5 |
Na |
0.824 |
|
|
|
| 6 |
Na |
0.824 |
|
|
|
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 |
8.641 |
8.641 |
| CHELPG |
|
|
|
|
| AIM |
|
|
|
|
| ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
| Primitive |
| | x | y | z |
| x |
-31.685 |
0.000 |
0.000 |
| y |
0.000 |
-1.669 |
0.000 |
| z |
0.000 |
0.000 |
-39.201 |
|
| Traceless |
| | x | y | z |
| x |
-11.250 |
0.000 |
0.000 |
| y |
0.000 |
33.774 |
0.000 |
| z |
0.000 |
0.000 |
-22.524 |
|
| Polar |
| 3z2-r2 | -45.048 |
| x2-y2 | -30.016 |
| 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 |
4.158 |
0.000 |
0.000 |
| y |
0.000 |
7.564 |
0.000 |
| z |
0.000 |
0.000 |
6.143 |
<r2> (average value of r
2) Å
2
| <r2> |
177.579 |
| (<r2>)1/2 |
13.326 |