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

using model chemistry: B3PW91/6-311G*

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 B3PW91/6-311G*
 hartrees
Energy at 0K-1194.460210
Energy at 298.15K-1194.460609
HF Energy-1194.460210
Nuclear repulsion energy180.611450
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 B3PW91/6-311G*
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 663 638 133.62      
2 A1 584 562 2.44      
3 A1 265 255 2.69      

Unscaled Zero Point Vibrational Energy (zpe) 755.6 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 727.5 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 B3PW91/6-311G*
ABC
0.79686 0.09548 0.08527

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.664
S2 0.000 1.662 -0.332
S3 0.000 -1.662 -0.332

Atom - Atom Distances (Å)
  S1 S2 S3
S11.93741.9374
S21.93743.3232
S31.93743.3232

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 118.109
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.250      
2 S -0.125      
3 S -0.125      


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 0.672 0.672
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.646 0.000 0.000
y 0.000 -41.263 0.000
z 0.000 0.000 -40.100
Traceless
 xyz
x 3.035 0.000 0.000
y 0.000 -2.390 0.000
z 0.000 0.000 -0.645
Polar
3z2-r2-1.290
x2-y23.617
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.385 0.000 0.000
y 0.000 15.404 0.000
z 0.000 0.000 5.315


<r2> (average value of r2) Å2
<r2> 123.715
(<r2>)1/2 11.123

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-1194.450453
Energy at 298.15K-1194.450934
HF Energy-1194.450453
Nuclear repulsion energy193.253868
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 B3PW91/6-311G*
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' 599 576 0.00      
2 E' 460 443 1.29      
2 E' 460 443 1.29      

Unscaled Zero Point Vibrational Energy (zpe) 759.1 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 730.8 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 B3PW91/6-311G*
ABC
0.23844 0.23844 0.11922

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.214 0.000
S2 1.051 -0.607 0.000
S3 -1.051 -0.607 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.10302.1030
S22.10302.1030
S32.10302.1030

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 B3PW91/6-311G* 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 -36.298 0.000 0.000
y 0.000 -36.298 0.000
z 0.000 0.000 -42.792
Traceless
 xyz
x 3.247 0.000 0.000
y 0.000 3.247 0.000
z 0.000 0.000 -6.494
Polar
3z2-r2-12.989
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 7.864 0.000 0.000
y 0.000 7.864 0.000
z 0.000 0.000 3.457


<r2> (average value of r2) Å2
<r2> 94.783
(<r2>)1/2 9.736