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

using model chemistry: B1B95/6-31G

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 B1B95/6-31G
 hartrees
Energy at 0K-1194.540398
Energy at 298.15K-1194.540615
HF Energy-1194.540398
Nuclear repulsion energy168.626964
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 B1B95/6-31G
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 562 536 50.22      
2 A1 505 482 0.32      
3 A1 215 205 2.12      

Unscaled Zero Point Vibrational Energy (zpe) 641.0 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 611.4 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 B1B95/6-31G
ABC
0.64875 0.08477 0.07497

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.736
S2 0.000 1.764 -0.368
S3 0.000 -1.764 -0.368

Atom - Atom Distances (Å)
  S1 S2 S3
S12.08072.0807
S22.08073.5270
S32.08073.5270

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 115.899
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.095      
2 S -0.048      
3 S -0.048      


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 0.682 0.682
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.934 0.000 0.000
y 0.000 -41.984 0.000
z 0.000 0.000 -40.882
Traceless
 xyz
x 3.499 0.000 0.000
y 0.000 -2.576 0.000
z 0.000 0.000 -0.923
Polar
3z2-r2-1.846
x2-y24.050
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.612 0.000 0.000
y 0.000 16.471 0.000
z 0.000 0.000 4.820


<r2> (average value of r2) Å2
<r2> 137.674
(<r2>)1/2 11.733

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B1B95/6-31G
 hartrees
Energy at 0K-1194.533971
Energy at 298.15K-1194.534282
HF Energy-1194.533971
Nuclear repulsion energy179.275031
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 B1B95/6-31G
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' 527 503 0.00      
2 E' 394 375 0.80      
2 E' 394 375 0.80      

Unscaled Zero Point Vibrational Energy (zpe) 657.0 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 626.6 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 B1B95/6-31G
ABC
0.20520 0.20520 0.10260

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.309 0.000
S2 1.133 -0.654 0.000
S3 -1.133 -0.654 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.26702.2670
S22.26702.2670
S32.26702.2670

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 B1B95/6-31G 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 -37.211 0.000 0.000
y 0.000 -37.211 0.000
z 0.000 0.000 -42.982
Traceless
 xyz
x 2.886 0.000 0.000
y 0.000 2.886 0.000
z 0.000 0.000 -5.771
Polar
3z2-r2-11.543
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 8.973 0.000 0.000
y 0.000 8.972 0.000
z 0.000 0.000 2.170


<r2> (average value of r2) Å2
<r2> 106.668
(<r2>)1/2 10.328