return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: HF/CEP-121G*

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-121G*
 hartrees
Energy at 0K-29.762156
Energy at 298.15K-29.762673
HF Energy-29.762156
Nuclear repulsion energy25.782694
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-121G*
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 668 603 3.21      
2 A1 288 260 3.87      
3 B2 764 690 303.35      

Unscaled Zero Point Vibrational Energy (zpe) 859.5 cm-1
Scaled (by 0.9034) 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-121G*
ABC
0.79703 0.09917 0.08819

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.664
S2 0.000 1.630 -0.332
S3 0.000 -1.630 -0.332

Atom - Atom Distances (Å)
  S1 S2 S3
S11.91071.9107
S21.91073.2610
S31.91073.2610

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 117.154
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.373      
2 S -0.186      
3 S -0.186      


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 0.999 0.999
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.496 0.000 0.000
y 0.000 -38.908 0.000
z 0.000 0.000 -37.669
Traceless
 xyz
x 2.792 0.000 0.000
y 0.000 -2.325 0.000
z 0.000 0.000 -0.467
Polar
3z2-r2-0.934
x2-y23.412
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.850 0.000 0.000
y 0.000 17.034 0.000
z 0.000 0.000 5.358


<r2> (average value of r2) Å2
<r2> 59.204
(<r2>)1/2 7.694

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HF/CEP-121G*
 hartrees
Energy at 0K-29.778599
Energy at 298.15K-29.779215
HF Energy-29.778599
Nuclear repulsion energy27.481988
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-121G*
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' 690 624 0.00      
2 E' 515 466 2.15      
2 E' 515 466 2.15      

Unscaled Zero Point Vibrational Energy (zpe) 860.5 cm-1
Scaled (by 0.9034) Zero Point Vibrational Energy (zpe) 777.4 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-121G*
ABC
0.24384 0.24384 0.12192

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.201 0.000
S2 1.040 -0.600 0.000
S3 -1.040 -0.600 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07962.0796
S22.07962.0796
S32.07962.0796

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-121G* 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 -33.809 0.000 0.000
y 0.000 -33.809 0.000
z 0.000 0.000 -40.325
Traceless
 xyz
x 3.258 0.000 0.000
y 0.000 3.258 0.000
z 0.000 0.000 -6.516
Polar
3z2-r2-13.032
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 8.022 0.000 0.000
y 0.000 8.022 0.000
z 0.000 0.000 4.041


<r2> (average value of r2) Å2
<r2> 48.421
(<r2>)1/2 6.959