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

using model chemistry: B3LYP/CEP-121G*

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 B3LYP/CEP-121G*
 hartrees
Energy at 0K-30.420207
Energy at 298.15K-30.420581
HF Energy-30.420207
Nuclear repulsion energy25.040665
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 B3LYP/CEP-121G*
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 658 638 120.04      
2 A1 576 558 1.72      
3 A1 252 244 1.79      

Unscaled Zero Point Vibrational Energy (zpe) 743.0 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 720.3 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 B3LYP/CEP-121G*
ABC
0.77070 0.09293 0.08293

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.675
S2 0.000 1.684 -0.338
S3 0.000 -1.684 -0.338

Atom - Atom Distances (Å)
  S1 S2 S3
S11.96541.9654
S21.96543.3686
S31.96543.3686

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 117.950
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.236      
2 S -0.118      
3 S -0.118      


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 0.723 0.723
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.138 0.000 0.000
y 0.000 -37.651 0.000
z 0.000 0.000 -37.310
Traceless
 xyz
x 2.343 0.000 0.000
y 0.000 -1.426 0.000
z 0.000 0.000 -0.916
Polar
3z2-r2-1.832
x2-y22.513
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.899 0.000 0.000
y 0.000 15.690 0.000
z 0.000 0.000 5.680


<r2> (average value of r2) Å2
<r2> 61.068
(<r2>)1/2 7.815

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYP/CEP-121G*
 hartrees
Energy at 0K-30.410037
Energy at 298.15K-30.410499
HF Energy-30.410037
Nuclear repulsion energy26.841918
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 B3LYP/CEP-121G*
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' 597 579 0.00      
2 E' 450 436 0.99      
2 E' 450 436 0.99      

Unscaled Zero Point Vibrational Energy (zpe) 748.5 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 725.6 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 B3LYP/CEP-121G*
ABC
0.23261 0.23261 0.11631

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.229 0.000
S2 1.065 -0.615 0.000
S3 -1.065 -0.615 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.12922.1292
S22.12922.1292
S32.12922.1292

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 B3LYP/CEP-121G* 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 -33.357 0.000 0.000
y 0.000 -33.357 0.000
z 0.000 0.000 -40.137
Traceless
 xyz
x 3.390 0.000 0.000
y 0.000 3.390 0.000
z 0.000 0.000 -6.780
Polar
3z2-r2-13.560
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 8.186 0.000 0.000
y 0.000 8.186 0.000
z 0.000 0.000 4.233


<r2> (average value of r2) Å2
<r2> 49.446
(<r2>)1/2 7.032