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

using model chemistry: PBEPBE/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 PBEPBE/6-31G*
 hartrees
Energy at 0K-1194.001081
Energy at 298.15K-1194.001430
HF Energy-1194.001081
Nuclear repulsion energy178.188065
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 PBEPBE/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 641 632 104.79      
2 A1 563 555 1.85      
3 A1 251 247 1.87      

Unscaled Zero Point Vibrational Energy (zpe) 727.6 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 717.2 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 PBEPBE/6-31G*
ABC
0.79797 0.09227 0.08271

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.664
S2 0.000 1.690 -0.332
S3 0.000 -1.690 -0.332

Atom - Atom Distances (Å)
  S1 S2 S3
S11.96171.9617
S21.96173.3806
S31.96173.3806

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 119.005
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.161      
2 S -0.081      
3 S -0.081      


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 0.620 0.620
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.267 0.000 0.000
y 0.000 -39.982 0.000
z 0.000 0.000 -39.680
Traceless
 xyz
x 2.564 0.000 0.000
y 0.000 -1.509 0.000
z 0.000 0.000 -1.055
Polar
3z2-r2-2.110
x2-y22.716
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.333 0.000 0.000
y 0.000 14.909 0.000
z 0.000 0.000 5.071


<r2> (average value of r2) Å2
<r2> 126.343
(<r2>)1/2 11.240

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at PBEPBE/6-31G*
 hartrees
Energy at 0K-1193.979410
Energy at 298.15K-1193.979862
HF Energy-1193.979410
Nuclear repulsion energy192.256404
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 PBEPBE/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' 583 574 0.00      
2 E' 453 447 0.80      
2 E' 453 447 0.80      

Unscaled Zero Point Vibrational Energy (zpe) 744.5 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 733.8 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 PBEPBE/6-31G*
ABC
0.23599 0.23599 0.11799

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.220 0.000
S2 1.057 -0.610 0.000
S3 -1.057 -0.610 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.11392.1139
S22.11392.1139
S32.11392.1139

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 PBEPBE/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 -35.907 0.000 0.000
y 0.000 -35.907 0.000
z 0.000 0.000 -42.240
Traceless
 xyz
x 3.167 0.000 0.000
y 0.000 3.167 0.000
z 0.000 0.000 -6.333
Polar
3z2-r2-12.666
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 7.701 0.000 0.000
y 0.000 7.701 0.000
z 0.000 0.000 3.387


<r2> (average value of r2) Å2
<r2> 95.241
(<r2>)1/2 9.759