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

using model chemistry: B3PW91/aug-cc-pVTZ

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 B3PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.509853
Energy at 298.15K-1194.510289
HF Energy-1194.509853
Nuclear repulsion energy182.006384
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 B3PW91/aug-cc-pVTZ
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 700 676 130.23      
2 A1 609 588 1.70      
3 A1 263 254 0.74      

Unscaled Zero Point Vibrational Energy (zpe) 786.0 cm-1
Scaled (by 0.9651) Zero Point Vibrational Energy (zpe) 758.5 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 B3PW91/aug-cc-pVTZ
ABC
0.80275 0.09717 0.08668

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.662
S2 0.000 1.647 -0.331
S3 0.000 -1.647 -0.331

Atom - Atom Distances (Å)
  S1 S2 S3
S11.92311.9231
S21.92313.2943
S31.92313.2943

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 117.854
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.327      
2 S -0.164      
3 S -0.164      


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 0.509 0.509
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.309 0.000 0.000
y 0.000 -38.821 0.000
z 0.000 0.000 -38.998
Traceless
 xyz
x 1.601 0.000 0.000
y 0.000 -0.668 0.000
z 0.000 0.000 -0.933
Polar
3z2-r2-1.867
x2-y21.512
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.326 0.000 0.000
y 0.000 16.147 0.000
z 0.000 0.000 7.728


<r2> (average value of r2) Å2
<r2> 121.300
(<r2>)1/2 11.014

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.501950
Energy at 298.15K-1194.502476
HF Energy-1194.501950
Nuclear repulsion energy195.047601
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 B3PW91/aug-cc-pVTZ
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' 622 600 0.00      
2 E' 474 458 0.36      
2 E' 474 458 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 785.4 cm-1
Scaled (by 0.9651) Zero Point Vibrational Energy (zpe) 758.0 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 B3PW91/aug-cc-pVTZ
ABC
0.24289 0.24289 0.12145

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/aug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.203 0.000
S2 1.042 -0.601 0.000
S3 -1.042 -0.601 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.08362.0836
S22.08362.0836
S32.08362.0836

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 B3PW91/aug-cc-pVTZ 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 -35.464 0.000 0.000
y 0.000 -35.464 0.000
z 0.000 0.000 -41.762
Traceless
 xyz
x 3.149 0.000 0.000
y 0.000 3.149 0.000
z 0.000 0.000 -6.298
Polar
3z2-r2-12.596
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 9.513 0.000 0.000
y 0.000 9.513 0.000
z 0.000 0.000 6.723


<r2> (average value of r2) Å2
<r2> 92.926
(<r2>)1/2 9.640