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

using model chemistry: B3LYP/cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-1194.661474
Energy at 298.15K-1194.661882
HF Energy-1194.661474
Nuclear repulsion energy180.786554
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-pVTZ
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 674 651 120.84      
2 A1 590 570 1.99      
3 A1 260 251 1.00      

Unscaled Zero Point Vibrational Energy (zpe) 761.8 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 736.4 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/cc-pVTZ
ABC
0.79094 0.09590 0.08553

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.667
S2 0.000 1.658 -0.333
S3 0.000 -1.658 -0.333

Atom - Atom Distances (Å)
  S1 S2 S3
S11.93621.9362
S21.93623.3160
S31.93623.3160

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 117.810
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.245      
2 S -0.122      
3 S -0.122      


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 0.584 0.584
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.291 0.000 0.000
y 0.000 -39.190 0.000
z 0.000 0.000 -39.113
Traceless
 xyz
x 1.861 0.000 0.000
y 0.000 -0.988 0.000
z 0.000 0.000 -0.873
Polar
3z2-r2-1.746
x2-y21.899
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.513 0.000 0.000
y 0.000 15.123 0.000
z 0.000 0.000 6.103


<r2> (average value of r2) Å2
<r2> 122.698
(<r2>)1/2 11.077

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-1194.649896
Energy at 298.15K-1194.650372
HF Energy-1194.649896
Nuclear repulsion energy193.269342
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-pVTZ
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' 597 577 0.00      
2 E' 453 438 0.47      
2 E' 453 438 0.47      

Unscaled Zero Point Vibrational Energy (zpe) 751.6 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 726.5 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-pVTZ
ABC
0.23848 0.23848 0.11924

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.214 0.000
S2 1.051 -0.607 0.000
S3 -1.051 -0.607 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.10282.1028
S22.10282.1028
S32.10282.1028

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-pVTZ 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 -35.476 0.000 0.000
y 0.000 -35.476 0.000
z 0.000 0.000 -41.931
Traceless
 xyz
x 3.228 0.000 0.000
y 0.000 3.228 0.000
z 0.000 0.000 -6.455
Polar
3z2-r2-12.911
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 8.572 0.000 0.000
y 0.000 8.572 0.000
z 0.000 0.000 4.564


<r2> (average value of r2) Å2
<r2> 94.250
(<r2>)1/2 9.708