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/6-31G(2df,p)

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 HSEh1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-1194.157628
Energy at 298.15K-1194.158083
HF Energy-1194.157628
Nuclear repulsion energy182.773189
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/6-31G(2df,p)
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 725 695 131.56      
2 A1 625 598 2.41      
3 A1 267 256 1.31      

Unscaled Zero Point Vibrational Energy (zpe) 808.6 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 774.4 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/6-31G(2df,p)
ABC
0.81504 0.09782 0.08733

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.657
S2 0.000 1.642 -0.328
S3 0.000 -1.642 -0.328

Atom - Atom Distances (Å)
  S1 S2 S3
S11.91461.9146
S21.91463.2834
S31.91463.2834

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 118.070
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.241      
2 S -0.120      
3 S -0.120      


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 0.575 0.575
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.004 0.000 0.000
y 0.000 -38.668 0.000
z 0.000 0.000 -38.797
Traceless
 xyz
x 1.729 0.000 0.000
y 0.000 -0.768 0.000
z 0.000 0.000 -0.961
Polar
3z2-r2-1.922
x2-y21.665
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.489 0.000 0.000
y 0.000 14.641 0.000
z 0.000 0.000 5.908


<r2> (average value of r2) Å2
<r2> 120.429
(<r2>)1/2 10.974

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-1194.151721
Energy at 298.15K-1194.152277
HF Energy-1194.151721
Nuclear repulsion energy196.184591
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/6-31G(2df,p)
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' 642 615 0.00      
2 E' 491 470 0.33      
2 E' 491 470 0.33      

Unscaled Zero Point Vibrational Energy (zpe) 811.6 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 777.3 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/6-31G(2df,p)
ABC
0.24573 0.24573 0.12287

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.196 0.000
S2 1.036 -0.598 0.000
S3 -1.036 -0.598 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07162.0716
S22.07162.0716
S32.07162.0716

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/6-31G(2df,p) 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 -35.243 0.000 0.000
y 0.000 -35.243 0.000
z 0.000 0.000 -41.518
Traceless
 xyz
x 3.138 0.000 0.000
y 0.000 3.138 0.000
z 0.000 0.000 -6.275
Polar
3z2-r2-12.551
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 8.116 0.000 0.000
y 0.000 8.116 0.000
z 0.000 0.000 4.705


<r2> (average value of r2) Å2
<r2> 91.980
(<r2>)1/2 9.591