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

using model chemistry: B3LYP/TZVP

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/TZVP
 hartrees
Energy at 0K-1194.616903
Energy at 298.15K-1194.617281
HF Energy-1194.616903
Nuclear repulsion energy178.933360
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/TZVP
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 574 554 1.96      
2 A1 256 247 1.90      
3 B2 648 625 117.95      

Unscaled Zero Point Vibrational Energy (zpe) 738.7 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 713.1 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/TZVP
ABC
0.77091 0.09407 0.08384

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.675
S2 0.000 1.674 -0.338
S3 0.000 -1.674 -0.338

Atom - Atom Distances (Å)
  S1 S2 S3
S11.95661.9566
S21.95663.3481
S31.95663.3481

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 117.649
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.230      
2 S -0.115      
3 S -0.115      


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 0.722 0.722
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.445 0.000 0.000
y 0.000 -40.272 0.000
z 0.000 0.000 -39.621
Traceless
 xyz
x 2.502 0.000 0.000
y 0.000 -1.739 0.000
z 0.000 0.000 -0.762
Polar
3z2-r2-1.525
x2-y22.827
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.296 0.000 0.000
y 0.000 15.152 0.000
z 0.000 0.000 5.196


<r2> (average value of r2) Å2
<r2> 125.052
(<r2>)1/2 11.183

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYP/TZVP
 hartrees
Energy at 0K-1194.605230
Energy at 298.15K-1194.605682
HF Energy-1194.605230
Nuclear repulsion energy191.418100
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/TZVP
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' 586 566 0.00      
2 E' 444 429 1.03      
2 E' 444 429 1.03      

Unscaled Zero Point Vibrational Energy (zpe) 737.6 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 712.1 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/TZVP
ABC
0.23394 0.23394 0.11697

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.226 0.000
S2 1.062 -0.613 0.000
S3 -1.062 -0.613 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.12312.1231
S22.12312.1231
S32.12312.1231

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/TZVP 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 -35.793 0.000 0.000
y 0.000 -35.793 0.000
z 0.000 0.000 -42.423
Traceless
 xyz
x 3.315 0.000 0.000
y 0.000 3.315 0.000
z 0.000 0.000 -6.630
Polar
3z2-r2-13.260
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 7.988 0.000 0.000
y 0.000 7.988 0.000
z 0.000 0.000 3.289


<r2> (average value of r2) Å2
<r2> 95.860
(<r2>)1/2 9.791