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/SDD

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/SDD
 hartrees
Energy at 0K-1192.330848
Energy at 298.15K-1192.331027
HF Energy-1192.330848
Nuclear repulsion energy169.809664
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/SDD
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 504 454 0.10      
2 A1 216 195 2.25      
3 B2 509 459 215.24      

Unscaled Zero Point Vibrational Energy (zpe) 614.9 cm-1
Scaled (by 0.9004) Zero Point Vibrational Energy (zpe) 553.6 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 HF/SDD
ABC
0.62885 0.08707 0.07648

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/SDD

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.748
S2 0.000 1.740 -0.374
S3 0.000 -1.740 -0.374

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07012.0701
S22.07013.4800
S32.07013.4800

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 114.395
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.116      
2 S -0.058      
3 S -0.058      


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 0.749 0.749
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.828 0.000 0.000
y 0.000 -42.947 0.000
z 0.000 0.000 -41.706
Traceless
 xyz
x 3.498 0.000 0.000
y 0.000 -2.680 0.000
z 0.000 0.000 -0.818
Polar
3z2-r2-1.636
x2-y24.119
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.049 0.000 0.000
y 0.000 19.932 0.000
z 0.000 0.000 4.426


<r2> (average value of r2) Å2
<r2> 136.008
(<r2>)1/2 11.662

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HF/SDD
 hartrees
Energy at 0K-1192.360232
Energy at 298.15K-1192.360545
HF Energy-1192.360232
Nuclear repulsion energy176.923940
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/SDD
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' 545 490 0.00      
2 E' 390 351 0.86      
2 E' 390 351 0.86      

Unscaled Zero Point Vibrational Energy (zpe) 661.9 cm-1
Scaled (by 0.9004) Zero Point Vibrational Energy (zpe) 595.9 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/SDD
ABC
0.19985 0.19985 0.09993

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/SDD

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.326 0.000
S2 1.149 -0.663 0.000
S3 -1.149 -0.663 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.29712.2971
S22.29712.2971
S32.29712.2971

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/SDD 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 -38.340 0.000 0.000
y 0.000 -38.340 0.000
z 0.000 0.000 -43.601
Traceless
 xyz
x 2.631 0.000 0.000
y 0.000 2.631 0.000
z 0.000 0.000 -5.261
Polar
3z2-r2-10.522
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 9.895 0.000 0.000
y 0.000 9.895 0.000
z 0.000 0.000 1.451


<r2> (average value of r2) Å2
<r2> 109.467
(<r2>)1/2 10.463