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

using model chemistry: mPW1PW91/cc-pV(T+d)Z

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-pV(T+d)Z
 hartrees
Energy at 0K-623.889952
Energy at 298.15K 
HF Energy-623.889952
Nuclear repulsion energy184.632446
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-pV(T+d)Z
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' 1114 1067 0.00 30.00 0.07 0.14
2 A2" 510 489 35.79 0.00 0.75 0.86
3 E' 1450 1389 201.86 5.65 0.75 0.86
3 E' 1450 1389 201.86 5.65 0.75 0.86
4 E' 538 515 28.35 3.35 0.75 0.86
4 E' 538 515 28.35 3.35 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2799.8 cm-1
Scaled (by 0.9579) Zero Point Vibrational Energy (zpe) 2682.0 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-pV(T+d)Z
ABC
0.34929 0.34929 0.17465

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pV(T+d)Z

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
O2 0.000 1.418 0.000
O3 1.228 -0.709 0.000
O4 -1.228 -0.709 0.000

Atom - Atom Distances (Å)
  S1 O2 O3 O4
S11.41831.41831.4183
O21.41832.45662.4566
O31.41832.45662.4566
O41.41832.45662.4566

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 mPW1PW91/cc-pV(T+d)Z Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 1.021      
2 O -0.340      
3 O -0.340      
4 O -0.340      


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 -30.760 0.000 0.000
y 0.000 -30.760 0.000
z 0.000 0.000 -24.679
Traceless
 xyz
x -3.040 0.000 0.000
y 0.000 -3.040 0.000
z 0.000 0.000 6.081
Polar
3z2-r212.161
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 4.138 0.000 0.000
y 0.000 4.138 0.000
z 0.000 0.000 2.324


<r2> (average value of r2) Å2
<r2> 66.224
(<r2>)1/2 8.138