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: M06-2X/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.557608
Energy at 298.15K-1194.558084
HF Energy-1194.557608
Nuclear repulsion energy183.591416
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/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 741 708 156.50      
2 A1 642 614 2.00      
3 A1 266 255 0.99      

Unscaled Zero Point Vibrational Energy (zpe) 824.7 cm-1
Scaled (by 0.9557) Zero Point Vibrational Energy (zpe) 788.2 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/aug-cc-pVTZ
ABC
0.79921 0.09943 0.08843

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.663
S2 0.000 1.628 -0.332
S3 0.000 -1.628 -0.332

Atom - Atom Distances (Å)
  S1 S2 S3
S11.90811.9081
S21.90813.2566
S31.90813.2566

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 117.155
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.199      
2 S -0.099      
3 S -0.099      


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 0.559 0.559
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.671 0.000 0.000
y 0.000 -39.050 0.000
z 0.000 0.000 -39.197
Traceless
 xyz
x 1.452 0.000 0.000
y 0.000 -0.616 0.000
z 0.000 0.000 -0.836
Polar
3z2-r2-1.672
x2-y21.379
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.375 0.000 0.000
y 0.000 16.298 0.000
z 0.000 0.000 7.709


<r2> (average value of r2) Å2
<r2> 119.531
(<r2>)1/2 10.933

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at M06-2X/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.560864
Energy at 298.15K-1194.561421
HF Energy-1194.560864
Nuclear repulsion energy196.026390
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/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' 638 610 0.00      
2 E' 488 467 0.43      
2 E' 488 467 0.43      

Unscaled Zero Point Vibrational Energy (zpe) 807.4 cm-1
Scaled (by 0.9557) Zero Point Vibrational Energy (zpe) 771.6 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/aug-cc-pVTZ
ABC
0.24534 0.24534 0.12267

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/aug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.197 0.000
S2 1.037 -0.598 0.000
S3 -1.037 -0.598 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07322.0732
S22.07322.0732
S32.07322.0732

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/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 -35.719 0.000 0.000
y 0.000 -35.719 0.000
z 0.000 0.000 -41.951
Traceless
 xyz
x 3.116 0.000 0.000
y 0.000 3.116 0.000
z 0.000 0.000 -6.232
Polar
3z2-r2-12.464
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 9.500 0.000 0.000
y 0.000 9.509 0.000
z 0.000 0.000 6.649


<r2> (average value of r2) Å2
<r2> 92.380
(<r2>)1/2 9.611