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

using model chemistry: HF/CEP-31G*

19 10 17 12 22

States and conformations

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

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at HF/CEP-31G*
 hartrees
Energy at 0K-29.760171
Energy at 298.15K-29.760683
HF Energy-29.760171
Nuclear repulsion energy25.744617
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 HF/CEP-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 671 603 3.69      
2 A1 287 258 4.79      
3 B2 764 686 296.22      

Unscaled Zero Point Vibrational Energy (zpe) 861.1 cm-1
Scaled (by 0.898) 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 HF/CEP-31G*
ABC
0.79290 0.09893 0.08796

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.666
S2 0.000 1.632 -0.333
S3 0.000 -1.632 -0.333

Atom - Atom Distances (Å)
  S1 S2 S3
S11.91371.9137
S21.91373.2648
S31.91373.2648

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 117.082
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.299      
2 S -0.150      
3 S -0.150      


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 0.956 0.956
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.489 0.000 0.000
y 0.000 -38.917 0.000
z 0.000 0.000 -37.729
Traceless
 xyz
x 2.834 0.000 0.000
y 0.000 -2.308 0.000
z 0.000 0.000 -0.526
Polar
3z2-r2-1.052
x2-y23.428
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.768 0.000 0.000
y 0.000 16.538 0.000
z 0.000 0.000 4.575


<r2> (average value of r2) Å2
<r2> 59.313
(<r2>)1/2 7.701

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HF/CEP-31G*
 hartrees
Energy at 0K-29.776852
Energy at 298.15K-29.777466
HF Energy-29.776852
Nuclear repulsion energy27.490815
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 HF/CEP-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' 694 623 0.00      
2 E' 518 465 1.69      
2 E' 518 465 1.69      

Unscaled Zero Point Vibrational Energy (zpe) 864.7 cm-1
Scaled (by 0.898) Zero Point Vibrational Energy (zpe) 776.5 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 HF/CEP-31G*
ABC
0.24400 0.24400 0.12200

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.200 0.000
S2 1.039 -0.600 0.000
S3 -1.039 -0.600 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07892.0789
S22.07892.0789
S32.07892.0789

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 HF/CEP-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 -33.871 0.000 0.000
y 0.000 -33.871 0.000
z 0.000 0.000 -40.310
Traceless
 xyz
x 3.220 0.000 0.000
y 0.000 3.220 0.000
z 0.000 0.000 -6.439
Polar
3z2-r2-12.879
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 7.915 0.000 0.000
y 0.000 7.915 0.000
z 0.000 0.000 2.368


<r2> (average value of r2) Å2
<r2> 48.427
(<r2>)1/2 6.959