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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-1194.240466
Energy at 298.15K-1194.240926
HF Energy-1194.240466
Nuclear repulsion energy183.632719
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 HSEh1PBE/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 726 726 140.37      
2 A1 624 624 2.07      
3 A1 268 268 0.55      

Unscaled Zero Point Vibrational Energy (zpe) 809.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 809.0 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 HSEh1PBE/6-311+G(3df,2p)
ABC
0.82997 0.09852 0.08806

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.651
S2 0.000 1.636 -0.325
S3 0.000 -1.636 -0.325

Atom - Atom Distances (Å)
  S1 S2 S3
S11.90501.9050
S21.90503.2717
S31.90503.2717

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 118.348
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.221      
2 S -0.110      
3 S -0.110      


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 0.436 0.436
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.414 0.000 0.000
y 0.000 -38.651 0.000
z 0.000 0.000 -39.277
Traceless
 xyz
x 1.550 0.000 0.000
y 0.000 -0.306 0.000
z 0.000 0.000 -1.244
Polar
3z2-r2-2.488
x2-y21.237
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.062 0.000 0.000
y 0.000 15.722 0.000
z 0.000 0.000 7.424


<r2> (average value of r2) Å2
<r2> 119.811
(<r2>)1/2 10.946

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HSEh1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-1194.231566
Energy at 298.15K-1194.232118
HF Energy-1194.231566
Nuclear repulsion energy196.798144
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 HSEh1PBE/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' 635 635 0.00      
2 E' 488 488 0.29      
2 E' 488 488 0.29      

Unscaled Zero Point Vibrational Energy (zpe) 805.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 805.3 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 HSEh1PBE/6-311+G(3df,2p)
ABC
0.24727 0.24727 0.12364

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311+G(3df,2p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.192 0.000
S2 1.033 -0.596 0.000
S3 -1.033 -0.596 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.06512.0651
S22.06512.0651
S32.06512.0651

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 HSEh1PBE/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
Primitive
 xyz
x -35.532 0.000 0.000
y 0.000 -35.532 0.000
z 0.000 0.000 -41.996
Traceless
 xyz
x 3.232 0.000 0.000
y 0.000 3.232 0.000
z 0.000 0.000 -6.464
Polar
3z2-r2-12.928
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 9.114 0.000 0.000
y 0.000 9.114 0.000
z 0.000 0.000 6.579


<r2> (average value of r2) Å2
<r2> 91.773
(<r2>)1/2 9.580