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

using model chemistry: wB97X-D/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 wB97X-D/Def2TZVPP
 hartrees
Energy at 0K-1194.580308
Energy at 298.15K-1194.580786
HF Energy-1194.580308
Nuclear repulsion energy184.455593
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 wB97X-D/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 735 702 155.75      
2 A1 634 605 3.50      
3 A1 277 265 1.29      

Unscaled Zero Point Vibrational Energy (zpe) 822.6 cm-1
Scaled (by 0.9552) Zero Point Vibrational Energy (zpe) 785.8 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 wB97X-D/Def2TZVPP
ABC
0.81652 0.10005 0.08913

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.656
S2 0.000 1.623 -0.328
S3 0.000 -1.623 -0.328

Atom - Atom Distances (Å)
  S1 S2 S3
S11.89831.8983
S21.89833.2465
S31.89833.2465

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 117.543
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.260      
2 S -0.130      
3 S -0.130      


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 0.573 0.573
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.879 0.000 0.000
y 0.000 -38.785 0.000
z 0.000 0.000 -38.668
Traceless
 xyz
x 1.848 0.000 0.000
y 0.000 -1.012 0.000
z 0.000 0.000 -0.836
Polar
3z2-r2-1.672
x2-y21.906
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.408 0.000 0.000
y 0.000 14.754 0.000
z 0.000 0.000 5.946


<r2> (average value of r2) Å2
<r2> 118.452
(<r2>)1/2 10.884

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at wB97X-D/Def2TZVPP
 hartrees
Energy at 0K-1194.576601
Energy at 298.15K-1194.577131
HF Energy-1194.576601
Nuclear repulsion energy195.973553
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 wB97X-D/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' 633 604 0.00      
2 E' 477 455 0.47      
2 E' 477 455 0.47      

Unscaled Zero Point Vibrational Energy (zpe) 793.1 cm-1
Scaled (by 0.9552) Zero Point Vibrational Energy (zpe) 757.5 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 wB97X-D/Def2TZVPP
ABC
0.24520 0.24520 0.12260

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/Def2TZVPP

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.197 0.000
S2 1.037 -0.599 0.000
S3 -1.037 -0.599 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07382.0738
S22.07382.0738
S32.07382.0738

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 wB97X-D/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 -35.168 0.000 0.000
y 0.000 -35.168 0.000
z 0.000 0.000 -41.531
Traceless
 xyz
x 3.181 0.000 0.000
y 0.000 3.181 0.000
z 0.000 0.000 -6.362
Polar
3z2-r2-12.725
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 8.382 0.000 0.000
y 0.000 8.382 0.000
z 0.000 0.000 4.446


<r2> (average value of r2) Å2
<r2> 92.100
(<r2>)1/2 9.597