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

using model chemistry: M06-2X/6-31G**

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 M06-2X/6-31G**
 hartrees
Energy at 0K-1194.420220
Energy at 298.15K-1194.420672
HF Energy-1194.420220
Nuclear repulsion energy182.349450
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/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 B2 725 689 135.86      
2 A1 625 594 2.26      
3 A1 267 253 3.17      

Unscaled Zero Point Vibrational Energy (zpe) 808.3 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 768.2 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/6-31G**
ABC
0.79311 0.09794 0.08717

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.666
S2 0.000 1.641 -0.333
S3 0.000 -1.641 -0.333

Atom - Atom Distances (Å)
  S1 S2 S3
S11.92071.9207
S21.92073.2813
S31.92073.2813

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 117.346
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.219      
2 S -0.109      
3 S -0.109      


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 0.809 0.809
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.447 0.000 0.000
y 0.000 -40.638 0.000
z 0.000 0.000 -39.748
Traceless
 xyz
x 2.745 0.000 0.000
y 0.000 -2.040 0.000
z 0.000 0.000 -0.706
Polar
3z2-r2-1.412
x2-y23.190
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.329 0.000 0.000
y 0.000 15.043 0.000
z 0.000 0.000 4.987


<r2> (average value of r2) Å2
<r2> 121.306
(<r2>)1/2 11.014

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at M06-2X/6-31G**
 hartrees
Energy at 0K-1194.420502
Energy at 298.15K-1194.421038
HF Energy-1194.420502
Nuclear repulsion energy195.271883
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/6-31G**
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' 626 595 0.00      
2 E' 485 461 1.15      
2 E' 485 461 1.14      

Unscaled Zero Point Vibrational Energy (zpe) 798.4 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 758.8 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/6-31G**
ABC
0.24345 0.24345 0.12173

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.202 0.000
S2 1.041 -0.601 0.000
S3 -1.041 -0.601 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.08122.0812
S22.08122.0812
S32.08122.0812

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/6-31G** 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 -36.175 0.000 0.000
y 0.000 -36.175 0.000
z 0.000 0.000 -42.205
Traceless
 xyz
x 3.015 0.000 0.000
y 0.000 3.015 0.000
z 0.000 0.000 -6.030
Polar
3z2-r2-12.060
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 7.652 0.000 0.000
y 0.000 7.657 0.000
z 0.000 0.000 3.390


<r2> (average value of r2) Å2
<r2> 93.155
(<r2>)1/2 9.652