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

using model chemistry: PBEPBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-1194.118883
Energy at 298.15K-1194.119262
HF Energy-1194.118883
Nuclear repulsion energy179.718007
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/cc-pVTZ
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 656 651 112.22      
2 A1 577 573 1.70      
3 A1 251 249 0.72      

Unscaled Zero Point Vibrational Energy (zpe) 741.9 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 736.8 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/cc-pVTZ
ABC
0.79156 0.09446 0.08439

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.666
S2 0.000 1.671 -0.333
S3 0.000 -1.671 -0.333

Atom - Atom Distances (Å)
  S1 S2 S3
S11.94681.9468
S21.94683.3412
S31.94683.3412

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 118.212
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ 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 0.516 0.516
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.166 0.000 0.000
y 0.000 -38.792 0.000
z 0.000 0.000 -38.933
Traceless
 xyz
x 1.696 0.000 0.000
y 0.000 -0.742 0.000
z 0.000 0.000 -0.954
Polar
3z2-r2-1.908
x2-y21.625
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.566 0.000 0.000
y 0.000 15.078 0.000
z 0.000 0.000 6.187


<r2> (average value of r2) Å2
<r2> 123.883
(<r2>)1/2 11.130

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-1194.103662
Energy at 298.15K-1194.104147
HF Energy-1194.103662
Nuclear repulsion energy193.461560
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/cc-pVTZ
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' 597 593 0.00      
2 E' 459 455 0.28      
2 E' 459 455 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 757.2 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 752.0 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 PBEPBE/cc-pVTZ
ABC
0.23896 0.23896 0.11948

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.213 0.000
S2 1.050 -0.606 0.000
S3 -1.050 -0.606 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.10072.1007
S22.10072.1007
S32.10072.1007

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/cc-pVTZ 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 -35.301 0.000 0.000
y 0.000 -35.301 0.000
z 0.000 0.000 -41.787
Traceless
 xyz
x 3.243 0.000 0.000
y 0.000 3.243 0.000
z 0.000 0.000 -6.486
Polar
3z2-r2-12.972
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 8.540 0.000 0.000
y 0.000 8.541 0.000
z 0.000 0.000 4.648


<r2> (average value of r2) Å2
<r2> 94.007
(<r2>)1/2 9.696