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

using model chemistry: M06-2X/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at M06-2X/6-311+G(3df,2p)
 hartrees
Energy at 0K-623.817713
Energy at 298.15K-623.819824
HF Energy-623.817713
Nuclear repulsion energy185.268625
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 M06-2X/6-311+G(3df,2p)
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' 1141 1141 0.00 37.01 0.06 0.11
2 A2" 522 522 41.84 0.00 0.75 0.86
3 E' 1466 1466 222.96 5.88 0.75 0.86
3 E' 1466 1466 222.83 5.90 0.75 0.86
4 E' 544 544 29.74 2.45 0.75 0.86
4 E' 544 544 29.77 2.45 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2841.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2841.9 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.
Rotational Constants (cm-1) from geometry optimized at M06-2X/6-311+G(3df,2p)
ABC
0.35170 0.35170 0.17585

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311+G(3df,2p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
O2 0.000 1.413 0.000
O3 1.224 -0.707 0.000
O4 -1.224 -0.707 0.000

Atom - Atom Distances (Å)
  S1 O2 O3 O4
S11.41341.41341.4134
O21.41342.44812.4481
O31.41342.44812.4481
O41.41342.44812.4481

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 M06-2X/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.998      
2 O -0.333      
3 O -0.333      
4 O -0.333      


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 -31.274 0.000 0.000
y 0.000 -31.274 0.000
z 0.000 0.000 -25.107
Traceless
 xyz
x -3.084 0.000 0.000
y 0.000 -3.084 0.000
z 0.000 0.000 6.167
Polar
3z2-r212.334
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 4.480 0.000 0.000
y 0.000 4.481 0.000
z 0.000 0.000 2.807


<r2> (average value of r2) Å2
<r2> 66.196
(<r2>)1/2 8.136