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

using model chemistry: PBEPBE/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 PBEPBE/3-21G
 hartrees
Energy at 0K-1188.085482
Energy at 298.15K-1188.085549
HF Energy-1188.085482
Nuclear repulsion energy163.729546
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 PBEPBE/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 474 470 44.27      
2 A1 445 441 0.41      
3 A1 188 187 1.18      

Unscaled Zero Point Vibrational Energy (zpe) 553.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 548.4 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 PBEPBE/3-21G
ABC
0.60697 0.08009 0.07075

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.761
S2 0.000 1.814 -0.380
S3 0.000 -1.814 -0.380

Atom - Atom Distances (Å)
  S1 S2 S3
S12.14362.1436
S22.14363.6287
S32.14363.6287

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 115.648
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.081      
2 S -0.040      
3 S -0.040      


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 0.616 0.616
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.536 0.000 0.000
y 0.000 -41.669 0.000
z 0.000 0.000 -41.130
Traceless
 xyz
x 2.864 0.000 0.000
y 0.000 -1.836 0.000
z 0.000 0.000 -1.028
Polar
3z2-r2-2.055
x2-y23.133
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.327 0.000 0.000
y 0.000 16.226 0.000
z 0.000 0.000 4.652


<r2> (average value of r2) Å2
<r2> 144.499
(<r2>)1/2 12.021

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-1188.073971
Energy at 298.15K-1188.074196
HF Energy-1188.073971
Nuclear repulsion energy173.196495
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 PBEPBE/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' 495 491 0.00      
2 E' 362 358 0.27      
2 E' 362 358 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 609.2 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 603.6 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 PBEPBE/3-21G
ABC
0.19152 0.19152 0.09576

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.355 0.000
S2 1.173 -0.677 0.000
S3 -1.173 -0.677 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.34652.3465
S22.34652.3465
S32.34652.3465

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 PBEPBE/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
Primitive
 xyz
x -37.126 0.000 0.000
y 0.000 -37.126 0.000
z 0.000 0.000 -43.844
Traceless
 xyz
x 3.359 0.000 0.000
y 0.000 3.359 0.000
z 0.000 0.000 -6.718
Polar
3z2-r2-13.435
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 8.979 0.000 0.000
y 0.000 8.979 0.000
z 0.000 0.000 1.630


<r2> (average value of r2) Å2
<r2> 112.685
(<r2>)1/2 10.615