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

using model chemistry: PBEPBE/Def2TZVPP

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/Def2TZVPP
 hartrees
Energy at 0K-1194.109993
Energy at 298.15K-1194.110383
HF Energy-1194.109993
Nuclear repulsion energy180.826658
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/Def2TZVPP
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 668 660 117.59      
2 A1 583 576 2.20      
3 A1 254 251 0.67      

Unscaled Zero Point Vibrational Energy (zpe) 752.7 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 743.6 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 PBEPBE/Def2TZVPP
ABC
0.80849 0.09542 0.08534

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.659
S2 0.000 1.662 -0.330
S3 0.000 -1.662 -0.330

Atom - Atom Distances (Å)
  S1 S2 S3
S11.93421.9342
S21.93423.3244
S31.93423.3244

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 118.493
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.218      
2 S -0.109      
3 S -0.109      


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 0.466 0.466
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.056 0.000 0.000
y 0.000 -38.586 0.000
z 0.000 0.000 -38.812
Traceless
 xyz
x 1.643 0.000 0.000
y 0.000 -0.652 0.000
z 0.000 0.000 -0.991
Polar
3z2-r2-1.982
x2-y21.530
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.492 0.000 0.000
y 0.000 14.854 0.000
z 0.000 0.000 6.107


<r2> (average value of r2) Å2
<r2> 122.678
(<r2>)1/2 11.076

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-1194.093332
Energy at 298.15K-1194.093822
HF Energy-1194.093332
Nuclear repulsion energy194.596883
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/Def2TZVPP
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' 601 594 0.00      
2 E' 463 457 0.24      
2 E' 463 457 0.24      

Unscaled Zero Point Vibrational Energy (zpe) 763.3 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 754.1 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/Def2TZVPP
ABC
0.24177 0.24177 0.12088

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.206 0.000
S2 1.044 -0.603 0.000
S3 -1.044 -0.603 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.08852.0885
S22.08852.0885
S32.08852.0885

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/Def2TZVPP 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 -35.199 0.000 0.000
y 0.000 -35.199 0.000
z 0.000 0.000 -41.684
Traceless
 xyz
x 3.242 0.000 0.000
y 0.000 3.242 0.000
z 0.000 0.000 -6.485
Polar
3z2-r2-12.969
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 8.459 0.000 0.000
y 0.000 8.459 0.000
z 0.000 0.000 4.586


<r2> (average value of r2) Å2
<r2> 93.122
(<r2>)1/2 9.650