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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 yes C2V 1A1
1 2 no D3H 1A1'

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-1188.869920
Energy at 298.15K-1188.870398
HF Energy-1188.869920
Nuclear repulsion energy183.701287
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
(Å4/u)
Dep P Dep U
1 B2 749 710 131.43      
2 A1 647 613 2.35      
3 A1 271 256 3.02      

Unscaled Zero Point Vibrational Energy (zpe) 833.1 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 789.1 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
0.80279 0.09947 0.08850

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 0.662
S2 0.000 1.628 -0.331
S3 0.000 -1.628 -0.331

Atom - Atom Distances (Å)
  S1 S2 S3
S11.90671.9067
S21.90673.2560
S31.90673.2560

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 117.261
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 0.208      
2 S -0.104      
3 S -0.104      


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 0.782 0.782
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.489 0.000 0.000
y 0.000 -40.639 0.000
z 0.000 0.000 -39.785
Traceless
 xyz
x 2.723 0.000 0.000
y 0.000 -2.002 0.000
z 0.000 0.000 -0.721
Polar
3z2-r2-1.441
x2-y23.150
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.038 0.000 0.000
y 0.000 14.339 0.000
z 0.000 0.000 4.574


<r2> (average value of r2) Å2
<r2> 119.872
(<r2>)1/2 10.949

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-1188.865120
Energy at 298.15K-1188.865646
HF Energy-1188.865120
Nuclear repulsion energy196.254991
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
(Å4/u)
Dep P Dep U
1 A1' 612 580 0.00      
2 E' 484 458 0.85      
2 E' 484 458 0.86      

Unscaled Zero Point Vibrational Energy (zpe) 789.8 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 748.1 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
0.24591 0.24591 0.12295

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 1.196 0.000
S2 1.035 -0.598 0.000
S3 -1.035 -0.598 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07082.0708
S22.07082.0708
S32.07082.0708

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 -36.377 0.000 0.000
y 0.000 -36.377 0.000
z 0.000 0.000 -42.331
Traceless
 xyz
x 2.977 0.000 0.000
y 0.000 2.977 0.000
z 0.000 0.000 -5.954
Polar
3z2-r2-11.908
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 7.414 0.000 0.000
y 0.000 7.420 0.000
z 0.000 0.000 2.940


<r2> (average value of r2) Å2
<r2> 92.572
(<r2>)1/2 9.621