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: HSEh1PBE/STO-3G

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 HSEh1PBE/STO-3G
 hartrees
Energy at 0K-1180.939029
Energy at 298.15K-1180.939397
HF Energy-1180.939029
Nuclear repulsion energy177.213481
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 HSEh1PBE/STO-3G
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 745 658 11.87      
2 A1 665 587 0.01      
3 A1 256 226 3.73      

Unscaled Zero Point Vibrational Energy (zpe) 832.9 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 735.6 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 HSEh1PBE/STO-3G
ABC
0.65468 0.09612 0.08382

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.733
S2 0.000 1.656 -0.366
S3 0.000 -1.656 -0.366

Atom - Atom Distances (Å)
  S1 S2 S3
S11.98761.9876
S21.98763.3122
S31.98763.3122

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 112.857
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.146      
2 S -0.073      
3 S -0.073      


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 0.656 0.656
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.899 0.000 0.000
y 0.000 -35.640 0.000
z 0.000 0.000 -33.757
Traceless
 xyz
x 3.800 0.000 0.000
y 0.000 -3.312 0.000
z 0.000 0.000 -0.488
Polar
3z2-r2-0.975
x2-y24.741
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.127 0.000 0.000
y 0.000 8.538 0.000
z 0.000 0.000 1.738


<r2> (average value of r2) Å2
<r2> 121.530
(<r2>)1/2 11.024

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HSEh1PBE/STO-3G
 hartrees
Energy at 0K-1180.974284
Energy at 298.15K-1180.974883
HF Energy-1180.974284
Nuclear repulsion energy191.711257
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 HSEh1PBE/STO-3G
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' 754 666 0.00      
2 E' 561 495 0.00      
2 E' 561 495 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 937.6 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 828.0 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 HSEh1PBE/STO-3G
ABC
0.23465 0.23465 0.11733

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/STO-3G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.224 0.000
S2 1.060 -0.612 0.000
S3 -1.060 -0.612 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.11992.1199
S22.11992.1199
S32.11992.1199

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 HSEh1PBE/STO-3G 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 -31.909 0.000 0.000
y 0.000 -31.909 0.000
z 0.000 0.000 -34.548
Traceless
 xyz
x 1.319 0.000 0.000
y 0.000 1.319 0.000
z 0.000 0.000 -2.639
Polar
3z2-r2-5.278
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 4.184 0.000 0.000
y 0.000 4.184 0.000
z 0.000 0.000 0.187


<r2> (average value of r2) Å2
<r2> 92.382
(<r2>)1/2 9.612