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

using model chemistry: PBE1PBE/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 PBE1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.198376
Energy at 298.15K-1194.198832
HF Energy-1194.198376
Nuclear repulsion energy182.713064
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 PBE1PBE/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 719 691 136.11      
2 A1 623 599 1.84      
3 A1 266 256 0.79      

Unscaled Zero Point Vibrational Energy (zpe) 803.9 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 773.0 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 PBE1PBE/aug-cc-pVTZ
ABC
0.80760 0.09797 0.08737

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.660
S2 0.000 1.640 -0.330
S3 0.000 -1.640 -0.330

Atom - Atom Distances (Å)
  S1 S2 S3
S11.91581.9158
S21.91583.2809
S31.91583.2809

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 117.799
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.323      
2 S -0.162      
3 S -0.162      


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 -37.403 0.000 0.000
y 0.000 -38.908 0.000
z 0.000 0.000 -39.114
Traceless
 xyz
x 1.608 0.000 0.000
y 0.000 -0.649 0.000
z 0.000 0.000 -0.958
Polar
3z2-r2-1.917
x2-y21.505
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.300 0.000 0.000
y 0.000 16.072 0.000
z 0.000 0.000 7.692


<r2> (average value of r2) Å2
<r2> 120.590
(<r2>)1/2 10.981

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at PBE1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.193586
Energy at 298.15K-1194.194138
HF Energy-1194.193586
Nuclear repulsion energy195.854786
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 PBE1PBE/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' 636 612 0.00      
2 E' 486 467 0.36      
2 E' 486 467 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 804.3 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 773.3 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 PBE1PBE/aug-cc-pVTZ
ABC
0.24491 0.24491 0.12245

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.198 0.000
S2 1.038 -0.599 0.000
S3 -1.038 -0.599 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07502.0750
S22.07502.0750
S32.07502.0750

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 PBE1PBE/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 -35.567 0.000 0.000
y 0.000 -35.567 0.000
z 0.000 0.000 -41.842
Traceless
 xyz
x 3.137 0.000 0.000
y 0.000 3.137 0.000
z 0.000 0.000 -6.274
Polar
3z2-r2-12.549
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 9.455 0.000 0.000
y 0.000 9.455 0.000
z 0.000 0.000 6.669


<r2> (average value of r2) Å2
<r2> 92.414
(<r2>)1/2 9.613