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: B3LYP/6-31G*

19 10 17 12 22

States and conformations

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

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at B3LYP/6-31G*
 hartrees
Energy at 0K-1194.542673
Energy at 298.15K-1194.543053
HF Energy-1194.542673
Nuclear repulsion energy179.248576
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 B3LYP/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 662 636 106.03      
2 A1 578 555 1.92      
3 A1 259 249 2.38      

Unscaled Zero Point Vibrational Energy (zpe) 749.3 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 719.5 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 B3LYP/6-31G*
ABC
0.78855 0.09394 0.08394

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.668
S2 0.000 1.675 -0.334
S3 0.000 -1.675 -0.334

Atom - Atom Distances (Å)
  S1 S2 S3
S11.95181.9518
S21.95183.3505
S31.95183.3505

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 118.257
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.197      
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 0.720 0.720
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.329 0.000 0.000
y 0.000 -40.313 0.000
z 0.000 0.000 -39.717
Traceless
 xyz
x 2.686 0.000 0.000
y 0.000 -1.790 0.000
z 0.000 0.000 -0.896
Polar
3z2-r2-1.792
x2-y22.984
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.311 0.000 0.000
y 0.000 14.950 0.000
z 0.000 0.000 5.008


<r2> (average value of r2) Å2
<r2> 124.939
(<r2>)1/2 11.178

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYP/6-31G*
 hartrees
Energy at 0K-1194.527861
Energy at 298.15K-1194.528314
HF Energy-1194.527861
Nuclear repulsion energy192.229607
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 B3LYP/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' 588 565 0.00      
2 E' 451 434 1.12      
2 E' 451 434 1.11      

Unscaled Zero Point Vibrational Energy (zpe) 745.5 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 715.9 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 B3LYP/6-31G*
ABC
0.23592 0.23592 0.11796

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.221 0.000
S2 1.057 -0.610 0.000
S3 -1.057 -0.610 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.11422.1142
S22.11422.1142
S32.11422.1142

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 B3LYP/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 -35.982 0.000 0.000
y 0.000 -35.982 0.000
z 0.000 0.000 -42.230
Traceless
 xyz
x 3.124 0.000 0.000
y 0.000 3.124 0.000
z 0.000 0.000 -6.247
Polar
3z2-r2-12.494
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 7.787 0.000 0.000
y 0.000 7.786 0.000
z 0.000 0.000 3.336


<r2> (average value of r2) Å2
<r2> 95.291
(<r2>)1/2 9.762