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All results from a given calculation for S3 (Sulfur trimer)

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
1 2 no D3H 1A1'

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-1194.545892
Energy at 298.15K-1194.546325
HF Energy-1194.545892
Nuclear repulsion energy181.255270
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 mPW1PW91/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 B2 701 667 119.69      
2 A1 607 578 2.27      
3 A1 268 255 2.76      

Unscaled Zero Point Vibrational Energy (zpe) 788.1 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 749.9 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 mPW1PW91/6-31G**
ABC
0.80579 0.09607 0.08583

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.660
S2 0.000 1.657 -0.330
S3 0.000 -1.657 -0.330

Atom - Atom Distances (Å)
  S1 S2 S3
S11.93021.9302
S21.93023.3131
S31.93023.3131

picture of Sulfur trimer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S2 S1 S3 118.237
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.202      
2 S -0.101      
3 S -0.101      


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 0.711 0.711
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.220 0.000 0.000
y 0.000 -40.270 0.000
z 0.000 0.000 -39.640
Traceless
 xyz
x 2.736 0.000 0.000
y 0.000 -1.840 0.000
z 0.000 0.000 -0.896
Polar
3z2-r2-1.791
x2-y23.050
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.311 0.000 0.000
y 0.000 14.790 0.000
z 0.000 0.000 4.963


<r2> (average value of r2) Å2
<r2> 122.671
(<r2>)1/2 11.076

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-1194.536512
Energy at 298.15K-1194.537044
HF Energy-1194.536512
Nuclear repulsion energy194.909052
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 mPW1PW91/6-31G**
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' 627 596 0.00      
2 E' 483 459 1.11      
2 E' 483 459 1.11      

Unscaled Zero Point Vibrational Energy (zpe) 796.2 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 757.6 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 mPW1PW91/6-31G**
ABC
0.24255 0.24255 0.12127

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.204 0.000
S2 1.043 -0.602 0.000
S3 -1.043 -0.602 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.08512.0851
S22.08512.0851
S32.08512.0851

picture of Sulfur trimer state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S2 S1 S3 60.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.000      
2 S 0.000      
3 S 0.000      


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 -35.949 0.000 0.000
y 0.000 -35.949 0.000
z 0.000 0.000 -42.100
Traceless
 xyz
x 3.075 0.000 0.000
y 0.000 3.075 0.000
z 0.000 0.000 -6.150
Polar
3z2-r2-12.300
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 7.589 0.000 0.000
y 0.000 7.589 0.000
z 0.000 0.000 3.352


<r2> (average value of r2) Å2
<r2> 93.297
(<r2>)1/2 9.659