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

using model chemistry: B97D3/3-21G

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 B97D3/3-21G
 hartrees
Energy at 0K-1188.655251
Energy at 298.15K-1188.655286
HF Energy-1188.655251
Nuclear repulsion energy163.240707
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 B97D3/3-21G
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 453 445 40.06      
2 A1 432 424 0.31      
3 A1 186 183 1.10      

Unscaled Zero Point Vibrational Energy (zpe) 535.4 cm-1
Scaled (by 0.983) Zero Point Vibrational Energy (zpe) 526.3 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 B97D3/3-21G
ABC
0.59198 0.08004 0.07051

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.771
S2 0.000 1.815 -0.385
S3 0.000 -1.815 -0.385

Atom - Atom Distances (Å)
  S1 S2 S3
S12.15172.1517
S22.15173.6298
S32.15173.6298

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 115.016
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.086      
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 0.631 0.631
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.297 0.000 0.000
y 0.000 -41.409 0.000
z 0.000 0.000 -40.825
Traceless
 xyz
x 2.820 0.000 0.000
y 0.000 -1.847 0.000
z 0.000 0.000 -0.973
Polar
3z2-r2-1.945
x2-y23.112
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.309 0.000 0.000
y 0.000 16.245 0.000
z 0.000 0.000 4.708


<r2> (average value of r2) Å2
<r2> 144.746
(<r2>)1/2 12.031

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B97D3/3-21G
 hartrees
Energy at 0K-1188.643424
Energy at 298.15K-1188.643606
HF Energy-1188.643424
Nuclear repulsion energy172.137504
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 B97D3/3-21G
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' 477 469 0.00      
2 E' 348 342 0.31      
2 E' 348 342 0.31      

Unscaled Zero Point Vibrational Energy (zpe) 586.2 cm-1
Scaled (by 0.983) Zero Point Vibrational Energy (zpe) 576.2 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 B97D3/3-21G
ABC
0.18918 0.18918 0.09459

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/3-21G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.363 0.000
S2 1.180 -0.682 0.000
S3 -1.180 -0.682 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.36102.3610
S22.36102.3610
S32.36102.3610

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 B97D3/3-21G 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 -36.860 0.000 0.000
y 0.000 -36.860 0.000
z 0.000 0.000 -43.524
Traceless
 xyz
x 3.332 0.000 0.000
y 0.000 3.332 0.000
z 0.000 0.000 -6.665
Polar
3z2-r2-13.330
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 9.143 0.000 0.000
y 0.000 9.143 0.000
z 0.000 0.000 1.598


<r2> (average value of r2) Å2
<r2> 113.595
(<r2>)1/2 10.658