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

using model chemistry: mPW1PW91/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at mPW1PW91/cc-pVDZ
 hartrees
Energy at 0K-623.725335
Energy at 298.15K-623.727310
HF Energy-623.725335
Nuclear repulsion energy179.746182
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 mPW1PW91/cc-pVDZ
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' 1040 996 0.00 26.73 0.10 0.18
2 A2" 472 452 34.87 0.00 0.75 0.86
3 E' 1365 1308 188.42 5.36 0.75 0.86
3 E' 1365 1308 188.42 5.36 0.75 0.86
4 E' 494 473 29.14 4.42 0.75 0.86
4 E' 494 473 29.14 4.42 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2614.3 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 2505.3 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 mPW1PW91/cc-pVDZ
ABC
0.33105 0.33105 0.16552

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
O2 0.000 1.457 0.000
O3 1.262 -0.728 0.000
O4 -1.262 -0.728 0.000

Atom - Atom Distances (Å)
  S1 O2 O3 O4
S11.45691.45691.4569
O21.45692.52332.5233
O31.45692.52332.5233
O41.45692.52332.5233

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

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 1.033      
2 O -0.344      
3 O -0.344      
4 O -0.344      


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 -30.982 0.000 0.000
y 0.000 -30.982 0.000
z 0.000 0.000 -24.697
Traceless
 xyz
x -3.142 0.000 0.000
y 0.000 -3.142 0.000
z 0.000 0.000 6.285
Polar
3z2-r212.570
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 3.896 0.000 0.000
y 0.000 3.896 0.000
z 0.000 0.000 1.839


<r2> (average value of r2) Å2
<r2> 68.980
(<r2>)1/2 8.305