return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBEPBEultrafine/TZVP

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/TZVP
 hartrees
Energy at 0K-623.488858
Energy at 298.15K-623.490719
HF Energy-623.488858
Nuclear repulsion energy177.518376
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/TZVP
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' 964 953 0.00 36.55 0.10 0.18
2 A2" 433 428 23.41 0.00 0.75 0.86
3 E' 1277 1263 181.10 7.42 0.75 0.86
3 E' 1277 1263 181.12 7.42 0.75 0.86
4 E' 458 453 24.85 5.46 0.75 0.86
4 E' 458 453 24.85 5.46 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2433.7 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 2405.9 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 PBEPBEultrafine/TZVP
ABC
0.32289 0.32289 0.16145

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
O2 0.000 1.475 0.000
O3 1.278 -0.738 0.000
O4 -1.278 -0.738 0.000

Atom - Atom Distances (Å)
  S1 O2 O3 O4
S11.47511.47511.4751
O21.47512.55502.5550
O31.47512.55502.5550
O41.47512.55502.5550

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.682      
2 O -0.227      
3 O -0.227      
4 O -0.227      


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 -31.766 0.000 0.000
y 0.000 -31.766 0.000
z 0.000 0.000 -25.589
Traceless
 xyz
x -3.088 0.000 0.000
y 0.000 -3.088 0.000
z 0.000 0.000 6.177
Polar
3z2-r212.353
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 4.749 0.000 0.000
y 0.000 4.749 0.000
z 0.000 0.000 2.160


<r2> (average value of r2) Å2
<r2> 70.779
(<r2>)1/2 8.413