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

using model chemistry: TPSSh/TZVP

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/TZVP
 hartrees
Energy at 0K-1194.621671
Energy at 298.15K-1194.622063
HF Energy-1194.621671
Nuclear repulsion energy179.526857
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/TZVP
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 661 637 120.07      
2 A1 583 562 1.99      
3 A1 257 248 2.01      

Unscaled Zero Point Vibrational Energy (zpe) 750.3 cm-1
Scaled (by 0.9637) Zero Point Vibrational Energy (zpe) 723.0 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/TZVP
ABC
0.78301 0.09447 0.08430

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.670
S2 0.000 1.670 -0.335
S3 0.000 -1.670 -0.335

Atom - Atom Distances (Å)
  S1 S2 S3
S11.94951.9495
S21.94953.3409
S31.94953.3409

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 117.935
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.230      
2 S -0.115      
3 S -0.115      


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 0.681 0.681
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 3.273 0.000 0.000
y 0.000 14.901 0.000
z 0.000 0.000 5.124


<r2> (average value of r2) Å2
<r2> 124.315
(<r2>)1/2 11.150

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at TPSSh/TZVP
 hartrees
Energy at 0K-1194.612474
Energy at 298.15K-1194.612967
HF Energy-1194.612474
Nuclear repulsion energy192.861632
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/TZVP
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' 603 581 0.00      
2 E' 462 446 0.82      
2 E' 462 446 0.82      

Unscaled Zero Point Vibrational Energy (zpe) 763.7 cm-1
Scaled (by 0.9637) Zero Point Vibrational Energy (zpe) 736.0 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/TZVP
ABC
0.23748 0.23748 0.11874

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.217 0.000
S2 1.054 -0.608 0.000
S3 -1.054 -0.608 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.10732.1073
S22.10732.1073
S32.10732.1073

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/TZVP 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 7.799 0.000 0.000
y 0.000 7.799 0.000
z 0.000 0.000 3.250


<r2> (average value of r2) Å2
<r2> 94.632
(<r2>)1/2 9.728