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

using model chemistry: MP3/daug-cc-pVTZ

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 MP3/daug-cc-pVTZ
 hartrees
Energy at 0K-1590.892826
Energy at 298.15K 
HF Energy-1590.151023
Nuclear repulsion energy349.135766
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 MP3/daug-cc-pVTZ
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 525 525 0.00      
2 A1 202 202 0.00      
3 B1 480 480 0.00      
4 B2 316 316 0.01      
5 E 452 452 0.06      
5 E 452 452 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 1213.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1213.3 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 MP3/daug-cc-pVTZ
ABC
0.11667 0.11667 0.06378

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/daug-cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.438 0.311
S2 0.000 -1.438 0.311
S3 -1.438 0.000 -0.311
S4 1.438 0.000 -0.311

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87512.12582.1258
S22.87512.12582.1258
S32.12582.12582.8751
S42.12582.12582.8751

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 47.450 S1 S3 S4 47.450
S2 S1 S3 47.450 S2 S4 S3 47.450
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP3/daug-cc-pVTZ
 hartrees
Energy at 0K-1590.903590
Energy at 298.15K 
HF Energy-1590.124363
Nuclear repulsion energy331.872692
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 MP3/daug-cc-pVTZ
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 683 683 3.96      
2 A1 415 415 5.13      
3 A1 142 142 0.12      
4 A2 205 205 0.00      
5 B2 752 752 27.16      
6 B2 338 338 2.13      

Unscaled Zero Point Vibrational Energy (zpe) 1267.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1267.3 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 MP3/daug-cc-pVTZ
ABC
0.15670 0.07148 0.04909

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.048 0.917
S2 0.000 -1.048 0.917
S3 0.000 1.610 -0.917
S4 0.000 -1.610 -0.917

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.09531.91853.2289
S22.09533.22891.9185
S31.91853.22893.2192
S43.22891.91853.2192

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 107.034 S1 S3 S4 72.966
S2 S1 S3 107.034 S2 S4 S3 72.966
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3/daug-cc-pVTZ
 hartrees
Energy at 0K-1590.892267
Energy at 298.15K 
HF Energy-1590.090298
Nuclear repulsion energy335.502371
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 MP3/daug-cc-pVTZ
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 782 782 0.00      
2 Ag 301 301 0.00      
3 Au 241 241 0.00      
4 B1u 1253 1253 23897.63      
5 B2u 199i 199i 17.36      
6 B3g 341 341 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1359.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1359.4 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 MP3/daug-cc-pVTZ
ABC
0.14802 0.08138 0.05251

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/daug-cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.944 1.273
S2 0.000 0.944 -1.273
S3 0.000 -0.944 1.273
S4 0.000 -0.944 -1.273

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.54531.88743.1687
S22.54533.16871.8874
S31.88743.16872.5453
S43.16871.88742.5453

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