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

using model chemistry: B3LYP/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-1194.606938
Energy at 298.15K-1194.607321
HF Energy-1194.606938
Nuclear repulsion energy178.689322
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/cc-pVDZ
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 659 639 101.88      
2 A1 580 563 1.43      
3 A1 253 246 1.54      

Unscaled Zero Point Vibrational Energy (zpe) 746.2 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 723.8 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/cc-pVDZ
ABC
0.76529 0.09393 0.08366

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.678
S2 0.000 1.675 -0.339
S3 0.000 -1.675 -0.339

Atom - Atom Distances (Å)
  S1 S2 S3
S11.95961.9596
S21.95963.3507
S31.95963.3507

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 117.502
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.227      
2 S -0.114      
3 S -0.114      


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 0.708 0.708
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.093 0.000 0.000
y 0.000 -39.202 0.000
z 0.000 0.000 -38.981
Traceless
 xyz
x 1.998 0.000 0.000
y 0.000 -1.165 0.000
z 0.000 0.000 -0.833
Polar
3z2-r2-1.667
x2-y22.109
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.237 0.000 0.000
y 0.000 14.243 0.000
z 0.000 0.000 4.861


<r2> (average value of r2) Å2
<r2> 124.840
(<r2>)1/2 11.173

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYP/cc-pVDZ
 hartrees
Energy at 0K-1194.595267
Energy at 298.15K-1194.595724
HF Energy-1194.595267
Nuclear repulsion energy191.088558
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/cc-pVDZ
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' 589 572 0.00      
2 E' 447 433 0.58      
2 E' 447 433 0.58      

Unscaled Zero Point Vibrational Energy (zpe) 741.2 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 719.0 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 B3LYP/cc-pVDZ
ABC
0.23313 0.23313 0.11657

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.228 0.000
S2 1.063 -0.614 0.000
S3 -1.063 -0.614 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.12682.1268
S22.12682.1268
S32.12682.1268

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/cc-pVDZ 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 -35.287 0.000 0.000
y 0.000 -35.287 0.000
z 0.000 0.000 -41.931
Traceless
 xyz
x 3.322 0.000 0.000
y 0.000 3.322 0.000
z 0.000 0.000 -6.644
Polar
3z2-r2-13.288
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 7.743 0.000 0.000
y 0.000 7.743 0.000
z 0.000 0.000 3.098


<r2> (average value of r2) Å2
<r2> 95.796
(<r2>)1/2 9.788