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

using model chemistry: TPSSh/3-21G*

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/3-21G*
 hartrees
Energy at 0K-1188.985111
Energy at 298.15K-1188.985521
HF Energy-1188.985111
Nuclear repulsion energy181.028576
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/3-21G*
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 680 657 103.95      
2 A1 593 573 2.05      
3 A1 264 255 2.44      

Unscaled Zero Point Vibrational Energy (zpe) 768.8 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 742.4 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 TPSSh/3-21G*
ABC
0.80515 0.09578 0.08560

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.661
S2 0.000 1.659 -0.330
S3 0.000 -1.659 -0.330

Atom - Atom Distances (Å)
  S1 S2 S3
S11.93251.9325
S21.93253.3180
S31.93253.3180

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 118.291
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/3-21G* 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 0.640 0.640
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 3.032 0.000 0.000
y 0.000 14.082 0.000
z 0.000 0.000 4.595


<r2> (average value of r2) Å2
<r2> 123.036
(<r2>)1/2 11.092

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at TPSSh/3-21G*
 hartrees
Energy at 0K-1188.967250
Energy at 298.15K-1188.967712
HF Energy-1188.967250
Nuclear repulsion energy194.149814
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/3-21G*
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' 574 554 0.00      
2 E' 459 443 0.71      
2 E' 459 443 0.71      

Unscaled Zero Point Vibrational Energy (zpe) 745.7 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 720.2 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 TPSSh/3-21G*
ABC
0.24066 0.24066 0.12033

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/3-21G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.209 0.000
S2 1.047 -0.604 0.000
S3 -1.047 -0.604 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.09332.0933
S22.09332.0933
S32.09332.0933

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/3-21G* 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 7.479 0.000 0.000
y 0.000 7.479 0.000
z 0.000 0.000 2.867


<r2> (average value of r2) Å2
<r2> 94.040
(<r2>)1/2 9.697