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

using model chemistry: TPSSh/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 TPSSh/3-21G*
 hartrees
Energy at 0K-620.693287
Energy at 298.15K-620.695212
HF Energy-620.693287
Nuclear repulsion energy178.942617
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 TPSSh/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' 996 962 0.00 24.03 0.09 0.17
2 A2" 441 425 29.23 0.00 0.75 0.86
3 E' 1340 1294 123.96 4.45 0.75 0.86
3 E' 1340 1294 123.95 4.45 0.75 0.86
4 E' 491 475 23.66 4.47 0.75 0.86
4 E' 491 475 23.66 4.47 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2550.1 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 2462.6 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 TPSSh/3-21G*
ABC
0.32809 0.32809 0.16405

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/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 1.463 0.000
O3 1.267 -0.732 0.000
O4 -1.267 -0.732 0.000

Atom - Atom Distances (Å)
  S1 O2 O3 O4
S11.46341.46341.4634
O21.46342.53472.5347
O31.46342.53472.5347
O41.46342.53472.5347

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 TPSSh/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 1.137      
2 O -0.379      
3 O -0.379      
4 O -0.379      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.532 0.000 0.000
y 0.000 3.532 0.000
z 0.000 0.000 1.610


<r2> (average value of r2) Å2
<r2> 69.379
(<r2>)1/2 8.329