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All results from a given calculation for S4 (Sulfur tetramer)

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no D2D 1A1
1 2 yes C2V 1A1
1 3 no D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at TPSSh/6-311+G(3df,2p)
 hartrees
Energy at 0K-1592.862665
Energy at 298.15K 
HF Energy-1592.862665
Nuclear repulsion energy351.108806
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 TPSSh/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 519 519 0.00 37.53 0.04 0.08
2 A1 209 209 0.00 0.99 0.72 0.83
3 B1 451 451 0.00 15.86 0.75 0.86
4 B2 293 293 0.02 6.83 0.75 0.86
5 E 425 425 0.00 2.95 0.75 0.86
5 E 425 425 0.00 2.95 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1160.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1160.8 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 TPSSh/6-311+G(3df,2p)
ABC
0.11774 0.11774 0.06488

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.425 0.322
S2 0.000 -1.425 0.322
S3 -1.425 0.000 -0.322
S4 1.425 0.000 -0.322

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.85072.11622.1162
S22.85072.11622.1162
S32.11622.11622.8507
S42.11622.11622.8507

picture of Sulfur tetramer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S2 S4 47.658 S1 S3 S4 47.658
S2 S1 S3 47.658 S2 S4 S3 47.658
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/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      
4 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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.509 0.000 0.000
y 0.000 12.509 0.000
z 0.000 0.000 8.892


<r2> (average value of r2) Å2
<r2> 168.344
(<r2>)1/2 12.975

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at TPSSh/6-311+G(3df,2p)
 hartrees
Energy at 0K-1592.894422
Energy at 298.15K 
HF Energy-1592.894422
Nuclear repulsion energy333.041089
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 TPSSh/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 693 693 5.68 29.37 0.07 0.13
2 A1 357 357 4.19 34.40 0.15 0.26
3 A1 111 111 0.59 8.16 0.41 0.58
4 A2 218 218 0.00 0.19 0.75 0.86
5 B2 664 664 105.19 3.47 0.75 0.86
6 B2 334 334 0.04 8.43 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1187.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1187.7 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 TPSSh/6-311+G(3df,2p)
ABC
0.15660 0.07282 0.04971

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.064 0.917
S2 0.000 -1.064 0.917
S3 0.000 1.577 -0.917
S4 0.000 -1.577 -0.917

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.12771.90553.2162
S22.12773.21621.9055
S31.90553.21623.1550
S43.21621.90553.1550

picture of Sulfur tetramer state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S2 S4 105.638 S1 S3 S4 74.362
S2 S1 S3 105.638 S2 S4 S3 74.362
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.066      
2 S 0.066      
3 S -0.066      
4 S -0.066      


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 1.182 1.182
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.910 0.000 0.000
y 0.000 19.298 0.000
z 0.000 0.000 12.861


<r2> (average value of r2) Å2
<r2> 201.537
(<r2>)1/2 14.196

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at TPSSh/6-311+G(3df,2p)
 hartrees
Energy at 0K-1592.890284
Energy at 298.15K 
HF Energy-1592.890284
Nuclear repulsion energy335.458627
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 TPSSh/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 Ag 735 735 0.00 34.76 0.10 0.18
2 Ag 289 289 0.00 30.24 0.19 0.31
3 Au 247 247 0.00 0.00 0.00 0.00
4 B1u 681 681 108.11 0.00 0.00 0.00
5 B2u 129i 129i 12.07 0.00 0.00 0.00
6 B3g 335 335 0.00 9.13 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1078.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1078.8 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 TPSSh/6-311+G(3df,2p)
ABC
0.14750 0.08164 0.05255

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.945 1.271
S2 0.000 0.945 -1.271
S3 0.000 -0.945 1.271
S4 0.000 -0.945 -1.271

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.54131.89073.1674
S22.54133.16741.8907
S31.89073.16742.5413
S43.16741.89072.5413

picture of Sulfur tetramer state 1 conformation 3
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S2 S4 90.000 S1 S3 S4 90.000
S2 S1 S3 90.000 S2 S4 S3 90.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/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      
4 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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.978 0.000 0.000
y 0.000 13.198 0.000
z 0.000 0.000 18.570


<r2> (average value of r2) Å2
<r2> 192.196
(<r2>)1/2 13.863