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All results from a given calculation for S3 (Sulfur trimer)

using model chemistry: HSEh1PBE/TZVP

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/TZVP
 hartrees
Energy at 0K-1194.201278
Energy at 298.15K-1194.201705
HF Energy-1194.201278
Nuclear repulsion energy180.834520
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/TZVP
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 689 662 130.43      
2 A1 605 580 2.35      
3 A1 264 253 2.21      

Unscaled Zero Point Vibrational Energy (zpe) 778.8 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 747.7 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/TZVP
ABC
0.79028 0.09599 0.08559

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.667
S2 0.000 1.657 -0.333
S3 0.000 -1.657 -0.333

Atom - Atom Distances (Å)
  S1 S2 S3
S11.93581.9358
S21.93583.3145
S31.93583.3145

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 117.766
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.237      
2 S -0.119      
3 S -0.119      


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 0.703 0.703
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.256 0.000 0.000
y 0.000 -40.067 0.000
z 0.000 0.000 -39.451
Traceless
 xyz
x 2.503 0.000 0.000
y 0.000 -1.714 0.000
z 0.000 0.000 -0.789
Polar
3z2-r2-1.578
x2-y22.811
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.286 0.000 0.000
y 0.000 14.877 0.000
z 0.000 0.000 5.119


<r2> (average value of r2) Å2
<r2> 122.875
(<r2>)1/2 11.085

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HSEh1PBE/TZVP
 hartrees
Energy at 0K-1194.194803
Energy at 298.15K-1194.195330
HF Energy-1194.194803
Nuclear repulsion energy194.077798
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/TZVP
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' 624 599 0.00      
2 E' 476 457 0.91      
2 E' 476 457 0.91      

Unscaled Zero Point Vibrational Energy (zpe) 787.8 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 756.4 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/TZVP
ABC
0.24048 0.24048 0.12024

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

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
S12.09402.0940
S22.09402.0940
S32.09402.0940

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/TZVP 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 -35.655 0.000 0.000
y 0.000 -35.655 0.000
z 0.000 0.000 -42.198
Traceless
 xyz
x 3.271 0.000 0.000
y 0.000 3.271 0.000
z 0.000 0.000 -6.543
Polar
3z2-r2-13.086
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 7.743 0.000 0.000
y 0.000 7.743 0.000
z 0.000 0.000 3.280


<r2> (average value of r2) Å2
<r2> 93.792
(<r2>)1/2 9.685