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: PBE1PBE/6-311G*

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 PBE1PBE/6-311G*
 hartrees
Energy at 0K-1194.145559
Energy at 298.15K-1194.145981
HF Energy-1194.145559
Nuclear repulsion energy181.400008
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 PBE1PBE/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 682 654 139.01      
2 A1 598 573 2.60      
3 A1 269 258 2.86      

Unscaled Zero Point Vibrational Energy (zpe) 774.3 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 742.2 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 PBE1PBE/6-311G*
ABC
0.80037 0.09643 0.08606

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.663
S2 0.000 1.653 -0.331
S3 0.000 -1.653 -0.331

Atom - Atom Distances (Å)
  S1 S2 S3
S11.92931.9293
S21.92933.3069
S31.92933.3069

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 117.972
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.254      
2 S -0.127      
3 S -0.127      


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 0.680 0.680
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.744 0.000 0.000
y 0.000 -41.407 0.000
z 0.000 0.000 -40.200
Traceless
 xyz
x 3.060 0.000 0.000
y 0.000 -2.435 0.000
z 0.000 0.000 -0.624
Polar
3z2-r2-1.248
x2-y23.663
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.389 0.000 0.000
y 0.000 15.346 0.000
z 0.000 0.000 5.293


<r2> (average value of r2) Å2
<r2> 122.876
(<r2>)1/2 11.085

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at PBE1PBE/6-311G*
 hartrees
Energy at 0K-1194.138818
Energy at 298.15K-1194.139326
HF Energy-1194.138818
Nuclear repulsion energy194.148154
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 PBE1PBE/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' 613 588 0.00      
2 E' 471 452 1.30      
2 E' 471 452 1.30      

Unscaled Zero Point Vibrational Energy (zpe) 777.8 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 745.6 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 PBE1PBE/6-311G*
ABC
0.24066 0.24066 0.12033

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.209 0.000
S2 1.047 -0.604 0.000
S3 -1.047 -0.604 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.09332.0933
S22.09332.0933
S32.09332.0933

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 PBE1PBE/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 -36.404 0.000 0.000
y 0.000 -36.404 0.000
z 0.000 0.000 -42.878
Traceless
 xyz
x 3.237 0.000 0.000
y 0.000 3.237 0.000
z 0.000 0.000 -6.475
Polar
3z2-r2-12.950
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 7.806 0.000 0.000
y 0.000 7.806 0.000
z 0.000 0.000 3.464


<r2> (average value of r2) Å2
<r2> 94.195
(<r2>)1/2 9.705