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

using model chemistry: TPSSh/6-311+G(3df,2p)

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 TPSSh/6-311+G(3df,2p)
 hartrees
Energy at 0K-1194.659047
Energy at 298.15K-1194.659473
HF Energy-1194.659047
Nuclear repulsion energy182.329049
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 TPSSh/6-311+G(3df,2p)
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 699 699 127.16      
2 A1 603 603 1.74      
3 A1 261 261 0.51      

Unscaled Zero Point Vibrational Energy (zpe) 781.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 781.5 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 TPSSh/6-311+G(3df,2p)
ABC
0.82562 0.09690 0.08672

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.652
S2 0.000 1.649 -0.326
S3 0.000 -1.649 -0.326

Atom - Atom Distances (Å)
  S1 S2 S3
S11.91801.9180
S21.91803.2989
S31.91803.2989

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 118.632
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.226      
2 S -0.113      
3 S -0.113      


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 0.434 0.434
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.037 0.000 0.000
y 0.000 15.788 0.000
z 0.000 0.000 7.431


<r2> (average value of r2) Å2
<r2> 121.257
(<r2>)1/2 11.012

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at TPSSh/6-311+G(3df,2p)
 hartrees
Energy at 0K-1194.648420
Energy at 298.15K-1194.648942
HF Energy-1194.648420
Nuclear repulsion energy195.619578
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 TPSSh/6-311+G(3df,2p)
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' 616 616 0.00      
2 E' 475 475 0.26      
2 E' 475 475 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 783.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 783.5 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 TPSSh/6-311+G(3df,2p)
ABC
0.24432 0.24432 0.12216

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311+G(3df,2p)

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 TPSSh/6-311+G(3df,2p) 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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.166 0.000 0.000
y 0.000 9.166 0.000
z 0.000 0.000 6.570


<r2> (average value of r2) Å2
<r2> 92.563
(<r2>)1/2 9.621