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: HF/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 1A1
1 2 yes D3H 1A1'

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at HF/CEP-121G
 hartrees
Energy at 0K-29.635461
Energy at 298.15K-29.635751
HF Energy-29.635461
Nuclear repulsion energy24.013771
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 HF/CEP-121G
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 554 506 0.00      
2 A1 226 206 3.23      
3 B2 579 528 259.70      

Unscaled Zero Point Vibrational Energy (zpe) 679.3 cm-1
Scaled (by 0.9125) Zero Point Vibrational Energy (zpe) 619.9 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 HF/CEP-121G
ABC
0.64960 0.08752 0.07713

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.736
S2 0.000 1.736 -0.368
S3 0.000 -1.736 -0.368

Atom - Atom Distances (Å)
  S1 S2 S3
S12.05672.0567
S22.05673.4712
S32.05673.4712

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 115.107
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.178      
2 S -0.089      
3 S -0.089      


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 0.879 0.879
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.618 0.000 0.000
y 0.000 -41.449 0.000
z 0.000 0.000 -39.539
Traceless
 xyz
x 3.876 0.000 0.000
y 0.000 -3.370 0.000
z 0.000 0.000 -0.506
Polar
3z2-r2-1.011
x2-y24.830
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.858 0.000 0.000
y 0.000 21.525 0.000
z 0.000 0.000 5.070


<r2> (average value of r2) Å2
<r2> 65.502
(<r2>)1/2 8.093

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HF/CEP-121G
 hartrees
Energy at 0K-29.657877
Energy at 298.15K-29.658273
HF Energy-29.657877
Nuclear repulsion energy25.470966
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 HF/CEP-121G
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' 571 521 0.00      
2 E' 416 380 2.33      
2 E' 416 380 2.33      

Unscaled Zero Point Vibrational Energy (zpe) 701.3 cm-1
Scaled (by 0.9125) Zero Point Vibrational Energy (zpe) 639.9 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 HF/CEP-121G
ABC
0.20946 0.20946 0.10473

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.295 0.000
S2 1.122 -0.648 0.000
S3 -1.122 -0.648 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.24382.2438
S22.24382.2438
S32.24382.2438

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 HF/CEP-121G 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 -36.175 0.000 0.000
y 0.000 -36.175 0.000
z 0.000 0.000 -41.034
Traceless
 xyz
x 2.429 0.000 0.000
y 0.000 2.429 0.000
z 0.000 0.000 -4.859
Polar
3z2-r2-9.717
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 10.010 0.000 0.000
y 0.000 10.010 0.000
z 0.000 0.000 2.479


<r2> (average value of r2) Å2
<r2> 53.813
(<r2>)1/2 7.336