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

using model chemistry: PBEPBEultrafine/cc-pCVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBEPBEultrafine/cc-pCVTZ
 hartrees
Energy at 0K-623.559580
Energy at 298.15K 
HF Energy-623.559580
Nuclear repulsion energy181.238886
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 PBEPBEultrafine/cc-pCVTZ
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' 1022 1022 0.00 30.70 0.08 0.14
2 A2" 468 468 24.63 0.00 0.75 0.86
3 E' 1348 1348 159.27 6.03 0.75 0.86
3 E' 1348 1348 159.28 6.03 0.75 0.86
4 E' 498 498 21.60 3.75 0.75 0.86
4 E' 498 498 21.60 3.75 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2590.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2590.8 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 PBEPBEultrafine/cc-pCVTZ
ABC
0.33657 0.33657 0.16828

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pCVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
O2 0.000 1.445 0.000
O3 1.251 -0.722 0.000
O4 -1.251 -0.722 0.000

Atom - Atom Distances (Å)
  S1 O2 O3 O4
S11.44491.44491.4449
O21.44492.50262.5026
O31.44492.50262.5026
O41.44492.50262.5026

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 PBEPBEultrafine/cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.857      
2 O -0.286      
3 O -0.286      
4 O -0.286      


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 -30.675 0.000 0.000
y 0.000 -30.675 0.000
z 0.000 0.000 -25.084
Traceless
 xyz
x -2.795 0.000 0.000
y 0.000 -2.795 0.000
z 0.000 0.000 5.591
Polar
3z2-r211.182
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 4.466 0.000 0.000
y 0.000 4.466 0.000
z 0.000 0.000 2.423


<r2> (average value of r2) Å2
<r2> 68.098
(<r2>)1/2 8.252