Jump to
S1C2
Energy calculated at PBEPBE/6-311+G(3df,2p)
| | hartrees |
| Energy at 0K | -722.433367 |
| Energy at 298.15K | |
| HF Energy | -722.433367 |
| Nuclear repulsion energy | 90.514588 |
The energy at 298.15K was derived from the energy at 0K
and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/6-311+G(3df,2p)
| Mode Number |
Symmetry |
Frequency (cm-1) |
Scaled Frequency (cm-1) |
IR Intensities (km mol-1) |
Raman Act (Å4/u) |
Dep P |
Dep U |
| 1 |
Σg |
275 |
273 |
0.00 |
341.05 |
0.08 |
0.15 |
| 2 |
Σu |
420 |
417 |
85.70 |
0.00 |
0.00 |
0.00 |
| 3 |
Πu |
49i |
49i |
50.49 |
0.00 |
0.00 |
0.00 |
| 3 |
Πu |
49i |
49i |
50.49 |
0.00 |
0.00 |
0.00 |
Unscaled Zero Point Vibrational Energy (zpe) 298.5 cm
-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 296.1 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.
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)
Point Group is D∞h
Cartesians (Å)
| Atom |
x (Å) |
y (Å) |
z (Å) |
| S1 |
0.000 |
0.000 |
0.000 |
| Na2 |
0.000 |
0.000 |
2.412 |
| Na3 |
0.000 |
0.000 |
-2.412 |
Atom - Atom Distances (Å)
| |
S1 |
Na2 |
Na3 |
| S1 | | 2.4116 | 2.4116 |
Na2 | 2.4116 | | 4.8232 | Na3 | 2.4116 | 4.8232 | |
More geometry information
Calculated Bond Angles
| atom1 |
atom2 |
atom3 |
angle |
|
atom1 |
atom2 |
atom3 |
angle |
| Na2 |
S1 |
Na3 |
180.000 |
|
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p)
Charges (e)
| Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
| 1 |
S |
0.034 |
|
|
|
| 2 |
Na |
-0.017 |
|
|
|
| 3 |
Na |
-0.017 |
|
|
|
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 |
-31.186 |
0.000 |
0.000 |
| y |
0.000 |
-31.186 |
0.000 |
| z |
0.000 |
0.000 |
15.136 |
|
| Traceless |
| | x | y | z |
| x |
-23.161 |
0.000 |
0.000 |
| y |
0.000 |
-23.161 |
0.000 |
| z |
0.000 |
0.000 |
46.322 |
|
| Polar |
| 3z2-r2 | 92.644 |
| 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 |
14.673 |
0.000 |
0.000 |
| y |
0.000 |
14.673 |
0.000 |
| z |
0.000 |
0.000 |
27.035 |
<r2> (average value of r
2) Å
2
| <r2> |
137.783 |
| (<r2>)1/2 |
11.738 |
Jump to
S1C1
Energy calculated at PBEPBE/6-311+G(3df,2p)
| | hartrees |
| Energy at 0K | -722.435806 |
| Energy at 298.15K | |
| HF Energy | -722.435806 |
| Nuclear repulsion energy | 91.629999 |
The energy at 298.15K was derived from the energy at 0K
and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/6-311+G(3df,2p)
| 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 |
303 |
300 |
13.89 |
348.21 |
0.08 |
0.15 |
| 2 |
A1 |
56 |
55 |
28.01 |
17.55 |
0.64 |
0.78 |
| 3 |
B2 |
376 |
373 |
64.21 |
20.43 |
0.75 |
0.86 |
Unscaled Zero Point Vibrational Energy (zpe) 367.2 cm
-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 364.2 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.
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)
Point Group is C2v
Cartesians (Å)
| Atom |
x (Å) |
y (Å) |
z (Å) |
| S1 |
0.000 |
0.000 |
0.731 |
| Na2 |
0.000 |
2.089 |
-0.531 |
| Na3 |
0.000 |
-2.089 |
-0.531 |
Atom - Atom Distances (Å)
| |
S1 |
Na2 |
Na3 |
| S1 | | 2.4410 | 2.4410 |
Na2 | 2.4410 | | 4.1789 | Na3 | 2.4410 | 4.1789 | |
More geometry information
Calculated Bond Angles
| atom1 |
atom2 |
atom3 |
angle |
|
atom1 |
atom2 |
atom3 |
angle |
| Na2 |
S1 |
Na3 |
117.735 |
|
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p)
Charges (e)
| Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
| 1 |
S |
-0.300 |
|
|
|
| 2 |
Na |
0.150 |
|
|
|
| 3 |
Na |
0.150 |
|
|
|
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 |
-6.154 |
6.154 |
| CHELPG |
|
|
|
|
| AIM |
|
|
|
|
| ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
| Primitive |
| | x | y | z |
| x |
-31.434 |
0.000 |
0.000 |
| y |
0.000 |
2.465 |
0.000 |
| z |
0.000 |
0.000 |
-29.795 |
|
| Traceless |
| | x | y | z |
| x |
-17.768 |
0.000 |
0.000 |
| y |
0.000 |
33.079 |
0.000 |
| z |
0.000 |
0.000 |
-15.310 |
|
| Polar |
| 3z2-r2 | -30.621 |
| x2-y2 | -33.898 |
| 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 |
14.541 |
0.000 |
0.000 |
| y |
0.000 |
25.874 |
0.000 |
| z |
0.000 |
0.000 |
16.789 |
<r2> (average value of r
2) Å
2
| <r2> |
123.038 |
| (<r2>)1/2 |
11.092 |