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

using model chemistry: B3LYP/CEP-31G

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-31G
 hartrees
Energy at 0K-30.331723
Energy at 298.15K-30.331904
HF Energy-30.331723
Nuclear repulsion energy23.262819
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-31G
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 547 529 52.42      
2 A1 493 478 0.44      
3 A1 204 198 2.08      

Unscaled Zero Point Vibrational Energy (zpe) 622.2 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 602.5 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/CEP-31G
ABC
0.62402 0.08159 0.07216

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.751
S2 0.000 1.798 -0.375
S3 0.000 -1.798 -0.375

Atom - Atom Distances (Å)
  S1 S2 S3
S12.12102.1210
S22.12103.5951
S32.12103.5951

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 115.882
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.119      
2 S -0.060      
3 S -0.060      


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 0.630 0.630
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.067 0.000 0.000
y 0.000 -39.958 0.000
z 0.000 0.000 -38.992
Traceless
 xyz
x 3.408 0.000 0.000
y 0.000 -2.428 0.000
z 0.000 0.000 -0.980
Polar
3z2-r2-1.959
x2-y23.890
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.777 0.000 0.000
y 0.000 17.081 0.000
z 0.000 0.000 4.407


<r2> (average value of r2) Å2
<r2> 67.789
(<r2>)1/2 8.233

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYP/CEP-31G
 hartrees
Energy at 0K-30.324621
Energy at 298.15K-30.324893
HF Energy-30.324621
Nuclear repulsion energy24.826752
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-31G
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' 518 501 0.00      
2 E' 378 366 0.76      
2 E' 378 366 0.76      

Unscaled Zero Point Vibrational Energy (zpe) 637.1 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 617.0 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/CEP-31G
ABC
0.19900 0.19900 0.09950

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.329 0.000
S2 1.151 -0.665 0.000
S3 -1.151 -0.665 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.30202.3020
S22.30202.3020
S32.30202.3020

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-31G 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 -35.144 0.000 0.000
y 0.000 -35.144 0.000
z 0.000 0.000 -41.139
Traceless
 xyz
x 2.997 0.000 0.000
y 0.000 2.997 0.000
z 0.000 0.000 -5.994
Polar
3z2-r2-11.989
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 9.350 0.000 0.000
y 0.000 9.349 0.000
z 0.000 0.000 0.643


<r2> (average value of r2) Å2
<r2> 54.994
(<r2>)1/2 7.416