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

using model chemistry: B3LYPultrafine/6-311+G(3df,2p)

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 B3LYPultrafine/6-311+G(3df,2p)
 hartrees
Energy at 0K-1194.657145
Energy at 298.15K-1194.657563
HF Energy-1194.657145
Nuclear repulsion energy182.003705
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 B3LYPultrafine/6-311+G(3df,2p)
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 687 687 133.61      
2 A1 595 595 1.82      
3 A1 262 262 0.50      

Unscaled Zero Point Vibrational Energy (zpe) 772.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 772.1 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 B3LYPultrafine/6-311+G(3df,2p)
ABC
0.81736 0.09671 0.08648

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.656
S2 0.000 1.651 -0.328
S3 0.000 -1.651 -0.328

Atom - Atom Distances (Å)
  S1 S2 S3
S11.92191.9219
S21.92193.3021
S31.92193.3021

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 118.427
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.211      
2 S -0.106      
3 S -0.106      


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 0.471 0.471
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.643 0.000 0.000
y 0.000 -39.038 0.000
z 0.000 0.000 -39.541
Traceless
 xyz
x 1.646 0.000 0.000
y 0.000 -0.446 0.000
z 0.000 0.000 -1.200
Polar
3z2-r2-2.400
x2-y21.395
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.154 0.000 0.000
y 0.000 16.137 0.000
z 0.000 0.000 7.565


<r2> (average value of r2) Å2
<r2> 121.747
(<r2>)1/2 11.034

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYPultrafine/6-311+G(3df,2p)
 hartrees
Energy at 0K-1194.642475
Energy at 298.15K-1194.642955
HF Energy-1194.642475
Nuclear repulsion energy194.362272
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 B3LYPultrafine/6-311+G(3df,2p)
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' 599 599 0.00      
2 E' 456 456 0.37      
2 E' 456 456 0.37      

Unscaled Zero Point Vibrational Energy (zpe) 755.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 755.4 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 B3LYPultrafine/6-311+G(3df,2p)
ABC
0.24119 0.24119 0.12059

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-311+G(3df,2p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.207 0.000
S2 1.045 -0.604 0.000
S3 -1.045 -0.604 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.09102.0910
S22.09102.0910
S32.09102.0910

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 B3LYPultrafine/6-311+G(3df,2p) 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 -35.763 0.000 0.000
y 0.000 -35.763 0.000
z 0.000 0.000 -42.288
Traceless
 xyz
x 3.262 0.000 0.000
y 0.000 3.262 0.000
z 0.000 0.000 -6.525
Polar
3z2-r2-13.049
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 9.343 0.000 0.000
y 0.000 9.343 0.000
z 0.000 0.000 6.734


<r2> (average value of r2) Å2
<r2> 93.651
(<r2>)1/2 9.677