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All results from a given calculation for SO3 (Sulfur trioxide)

using model chemistry: wB97X-D/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at wB97X-D/3-21G
 hartrees
Energy at 0K-620.321360
Energy at 298.15K-620.322991
HF Energy-620.321360
Nuclear repulsion energy167.932089
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 wB97X-D/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1' 886 886 0.00 23.20 0.11 0.20
2 A2" 322 322 31.84 0.00 0.75 0.86
3 E' 1164 1164 51.98 3.97 0.75 0.86
3 E' 1164 1164 51.92 3.97 0.75 0.86
4 E' 417 417 20.36 5.56 0.75 0.86
4 E' 417 417 20.36 5.56 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2184.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2184.7 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.
Rotational Constants (cm-1) from geometry optimized at wB97X-D/3-21G
ABC
0.28896 0.28896 0.14448

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
O2 0.000 1.559 0.000
O3 1.350 -0.780 0.000
O4 -1.350 -0.780 0.000

Atom - Atom Distances (Å)
  S1 O2 O3 O4
S11.55931.55931.5593
O21.55932.70092.7009
O31.55932.70092.7009
O41.55932.70092.7009

picture of Sulfur trioxide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
O2 S1 O3 120.000 O2 S1 O4 120.000
O3 S1 O4 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 1.477      
2 O -0.492      
3 O -0.492      
4 O -0.492      


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
 xyz
x -32.912 0.000 0.000
y 0.000 -32.912 0.000
z 0.000 0.000 -25.140
Traceless
 xyz
x -3.886 0.000 0.000
y 0.000 -3.886 0.000
z 0.000 0.000 7.772
Polar
3z2-r215.543
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.382 0.000 0.000
y 0.000 4.382 0.000
z 0.000 0.000 1.476


<r2> (average value of r2) Å2
<r2> 77.296
(<r2>)1/2 8.792