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

using model chemistry: B3PW91/6-311+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 B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-1194.502595
Energy at 298.15K-1194.503042
HF Energy-1194.502595
Nuclear repulsion energy183.095618
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 B3PW91/6-311+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 714 683 135.51      
2 A1 615 588 1.97      
3 A1 266 255 0.52      

Unscaled Zero Point Vibrational Energy (zpe) 796.9 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 762.9 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 B3PW91/6-311+G(3df,2p)
ABC
0.82867 0.09783 0.08750

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.651
S2 0.000 1.642 -0.326
S3 0.000 -1.642 -0.326

Atom - Atom Distances (Å)
  S1 S2 S3
S11.91031.9103
S21.91033.2831
S31.91033.2831

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 118.483
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.221      
2 S -0.110      
3 S -0.110      


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 0.434 0.434
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.280 0.000 0.000
y 0.000 -38.537 0.000
z 0.000 0.000 -39.145
Traceless
 xyz
x 1.561 0.000 0.000
y 0.000 -0.325 0.000
z 0.000 0.000 -1.236
Polar
3z2-r2-2.472
x2-y21.257
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.054 0.000 0.000
y 0.000 15.746 0.000
z 0.000 0.000 7.418


<r2> (average value of r2) Å2
<r2> 120.345
(<r2>)1/2 10.970

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-1194.491703
Energy at 298.15K-1194.492235
HF Energy-1194.491703
Nuclear repulsion energy196.104015
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 B3PW91/6-311+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' 624 598 0.00      
2 E' 478 458 0.28      
2 E' 478 458 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 790.6 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 756.8 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 B3PW91/6-311+G(3df,2p)
ABC
0.24553 0.24553 0.12276

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.197 0.000
S2 1.036 -0.598 0.000
S3 -1.036 -0.598 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07242.0724
S22.07242.0724
S32.07242.0724

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 B3PW91/6-311+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 -35.431 0.000 0.000
y 0.000 -35.431 0.000
z 0.000 0.000 -41.856
Traceless
 xyz
x 3.212 0.000 0.000
y 0.000 3.212 0.000
z 0.000 0.000 -6.425
Polar
3z2-r2-12.850
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 9.146 0.000 0.000
y 0.000 9.145 0.000
z 0.000 0.000 6.579


<r2> (average value of r2) Å2
<r2> 92.186
(<r2>)1/2 9.601