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

using model chemistry: B3LYP/6-311G*

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/6-311G*
 hartrees
Energy at 0K-1194.616732
Energy at 298.15K-1194.617095
HF Energy-1194.616732
Nuclear repulsion energy179.244342
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/6-311G*
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 634 612 126.80      
2 A1 563 544 2.18      
3 A1 259 250 2.42      

Unscaled Zero Point Vibrational Energy (zpe) 727.7 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 703.2 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 B3LYP/6-311G*
ABC
0.77954 0.09421 0.08405

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.672
S2 0.000 1.673 -0.336
S3 0.000 -1.673 -0.336

Atom - Atom Distances (Å)
  S1 S2 S3
S11.95271.9527
S21.95273.3457
S31.95273.3457

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 117.893
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.243      
2 S -0.121      
3 S -0.121      


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 0.685 0.685
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.056 0.000 0.000
y 0.000 -41.688 0.000
z 0.000 0.000 -40.483
Traceless
 xyz
x 3.030 0.000 0.000
y 0.000 -2.419 0.000
z 0.000 0.000 -0.611
Polar
3z2-r2-1.222
x2-y23.632
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.435 0.000 0.000
y 0.000 15.759 0.000
z 0.000 0.000 5.444


<r2> (average value of r2) Å2
<r2> 125.400
(<r2>)1/2 11.198

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYP/6-311G*
 hartrees
Energy at 0K-1194.603957
Energy at 298.15K-1194.604383
HF Energy-1194.603957
Nuclear repulsion energy191.283552
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/6-311G*
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' 572 553 0.00      
2 E' 438 423 1.47      
2 E' 438 423 1.47      

Unscaled Zero Point Vibrational Energy (zpe) 723.7 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 699.4 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 B3LYP/6-311G*
ABC
0.23361 0.23361 0.11680

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.227 0.000
S2 1.062 -0.613 0.000
S3 -1.062 -0.613 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.12462.1246
S22.12462.1246
S32.12462.1246

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/6-311G* 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 -36.604 0.000 0.000
y 0.000 -36.604 0.000
z 0.000 0.000 -43.249
Traceless
 xyz
x 3.322 0.000 0.000
y 0.000 3.322 0.000
z 0.000 0.000 -6.645
Polar
3z2-r2-13.289
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 8.142 0.000 0.000
y 0.000 8.141 0.000
z 0.000 0.000 3.522


<r2> (average value of r2) Å2
<r2> 96.471
(<r2>)1/2 9.822