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

using model chemistry: M06-2X/6-311G*

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 M06-2X/6-311G*
 hartrees
Energy at 0K-1194.503631
Energy at 298.15K-1194.504070
HF Energy-1194.503631
Nuclear repulsion energy182.478564
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 M06-2X/6-311G*
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 702 702 166.31      
2 A1 615 615 2.63      
3 A1 268 268 3.41      

Unscaled Zero Point Vibrational Energy (zpe) 792.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 792.5 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 M06-2X/6-311G*
ABC
0.78775 0.09829 0.08739

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.668
S2 0.000 1.638 -0.334
S3 0.000 -1.638 -0.334

Atom - Atom Distances (Å)
  S1 S2 S3
S11.91991.9199
S21.91993.2754
S31.91993.2754

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 117.081
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.266      
2 S -0.133      
3 S -0.133      


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 0.797 0.797
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.947 0.000 0.000
y 0.000 -41.848 0.000
z 0.000 0.000 -40.277
Traceless
 xyz
x 3.115 0.000 0.000
y 0.000 -2.736 0.000
z 0.000 0.000 -0.379
Polar
3z2-r2-0.758
x2-y23.900
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.415 0.000 0.000
y 0.000 15.871 0.000
z 0.000 0.000 5.330


<r2> (average value of r2) Å2
<r2> 121.535
(<r2>)1/2 11.024

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at M06-2X/6-311G*
 hartrees
Energy at 0K-1194.506862
Energy at 298.15K-1194.507370
HF Energy-1194.506862
Nuclear repulsion energy194.431288
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 M06-2X/6-311G*
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' 613 613 0.00      
2 E' 471 471 1.53      
2 E' 471 471 1.52      

Unscaled Zero Point Vibrational Energy (zpe) 777.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 777.7 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 M06-2X/6-311G*
ABC
0.24136 0.24136 0.12068

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.207 0.000
S2 1.045 -0.603 0.000
S3 -1.045 -0.603 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.09022.0902
S22.09022.0902
S32.09022.0902

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 M06-2X/6-311G* 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 -36.594 0.000 0.000
y 0.000 -36.594 0.000
z 0.000 0.000 -42.950
Traceless
 xyz
x 3.178 0.000 0.000
y 0.000 3.178 0.000
z 0.000 0.000 -6.355
Polar
3z2-r2-12.710
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 7.905 0.000 0.000
y 0.000 7.908 0.000
z 0.000 0.000 3.487


<r2> (average value of r2) Å2
<r2> 94.085
(<r2>)1/2 9.700