return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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-1194.639297
Energy at 298.15K-1194.639725
HF Energy-1194.639297
Nuclear repulsion energy181.466208
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 697 666 118.08      
2 A1 604 577 2.27      
3 A1 267 255 2.67      

Unscaled Zero Point Vibrational Energy (zpe) 784.4 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 748.9 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
0.80913 0.09625 0.08601

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 0.659
S2 0.000 1.655 -0.330
S3 0.000 -1.655 -0.330

Atom - Atom Distances (Å)
  S1 S2 S3
S11.92781.9278
S21.92783.3101
S31.92783.3101

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 118.294
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 0.196      
2 S -0.098      
3 S -0.098      


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 0.700 0.700
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.075 0.000 0.000
y 0.000 -40.076 0.000
z 0.000 0.000 -39.476
Traceless
 xyz
x 2.701 0.000 0.000
y 0.000 -1.800 0.000
z 0.000 0.000 -0.900
Polar
3z2-r2-1.800
x2-y23.001
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.306 0.000 0.000
y 0.000 14.646 0.000
z 0.000 0.000 4.953


<r2> (average value of r2) Å2
<r2> 122.359
(<r2>)1/2 11.062

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B1B95/6-31G**
 hartrees
Energy at 0K-1194.629346
Energy at 298.15K-1194.629891
HF Energy-1194.629346
Nuclear repulsion energy195.622986
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' 632 603 0.00      
2 E' 489 467 1.02      
2 E' 489 467 1.02      

Unscaled Zero Point Vibrational Energy (zpe) 804.6 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 768.2 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
0.24433 0.24433 0.12216

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 1.199 0.000
S2 1.039 -0.600 0.000
S3 -1.039 -0.600 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07752.0775
S22.07752.0775
S32.07752.0775

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 -35.838 0.000 0.000
y 0.000 -35.838 0.000
z 0.000 0.000 -41.911
Traceless
 xyz
x 3.036 0.000 0.000
y 0.000 3.036 0.000
z 0.000 0.000 -6.073
Polar
3z2-r2-12.146
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 7.521 0.000 0.000
y 0.000 7.520 0.000
z 0.000 0.000 3.362


<r2> (average value of r2) Å2
<r2> 92.705
(<r2>)1/2 9.628