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

using model chemistry: M06-2X/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 1A1
1 2 yes D3H 1A1'

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at M06-2X/3-21G
 hartrees
Energy at 0K-1188.496106
Energy at 298.15K-1188.496261
HF Energy-1188.496106
Nuclear repulsion energy168.408191
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 M06-2X/3-21G
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 529 507 46.32      
2 A1 482 462 0.04      
3 A1 199 191 1.76      

Unscaled Zero Point Vibrational Energy (zpe) 604.6 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 579.7 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 M06-2X/3-21G
ABC
0.59472 0.08665 0.07563

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.769
S2 0.000 1.744 -0.384
S3 0.000 -1.744 -0.384

Atom - Atom Distances (Å)
  S1 S2 S3
S12.09102.0910
S22.09103.4885
S32.09103.4885

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 113.059
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.087      
2 S -0.043      
3 S -0.043      


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 0.699 0.699
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.688 0.000 0.000
y 0.000 -42.454 0.000
z 0.000 0.000 -41.391
Traceless
 xyz
x 3.234 0.000 0.000
y 0.000 -2.415 0.000
z 0.000 0.000 -0.819
Polar
3z2-r2-1.639
x2-y23.766
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.264 0.000 0.000
y 0.000 16.741 0.000
z 0.000 0.000 4.675


<r2> (average value of r2) Å2
<r2> 137.051
(<r2>)1/2 11.707

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at M06-2X/3-21G
 hartrees
Energy at 0K-1188.509255
Energy at 298.15K-1188.509561
HF Energy-1188.509255
Nuclear repulsion energy175.920937
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 M06-2X/3-21G
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' 532 510 0.00      
2 E' 387 371 0.49      
2 E' 387 371 0.47      

Unscaled Zero Point Vibrational Energy (zpe) 653.0 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 626.1 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 M06-2X/3-21G
ABC
0.19759 0.19759 0.09880

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.334 0.000
S2 1.155 -0.667 0.000
S3 -1.155 -0.667 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.31022.3102
S22.31022.3102
S32.31022.3102

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 M06-2X/3-21G 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 -37.769 0.000 0.000
y 0.000 -37.769 0.000
z 0.000 0.000 -43.731
Traceless
 xyz
x 2.981 0.000 0.000
y 0.000 2.981 0.000
z 0.000 0.000 -5.962
Polar
3z2-r2-11.923
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 9.314 0.000 0.000
y 0.000 9.315 0.000
z 0.000 0.000 1.610


<r2> (average value of r2) Å2
<r2> 110.222
(<r2>)1/2 10.499