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

using model chemistry: CCD/6-31G**

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 CCD/6-31G**
 hartrees
Energy at 0K-1590.498053
Energy at 298.15K 
HF Energy-1589.976720
Nuclear repulsion energy347.939428
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 CCD/6-31G**
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 510 478 0.00      
2 A1 200 187 0.00      
3 B1 468 438 0.00      
4 B2 335 314 0.38      
5 E 443 415 0.05      
5 E 443 415 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 1198.2 cm-1
Scaled (by 0.9376) Zero Point Vibrational Energy (zpe) 1123.4 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 CCD/6-31G**
ABC
0.11598 0.11598 0.06319

See section I.F.4 to change rotational constant units
Geometric Data calculated at CCD/6-31G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.444 0.306
S2 0.000 -1.444 0.306
S3 -1.444 0.000 -0.306
S4 1.444 0.000 -0.306

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.88862.13222.1322
S22.88862.13222.1322
S32.13222.13222.8886
S42.13222.13222.8886

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 47.360 S1 S3 S4 47.360
S2 S1 S3 47.360 S2 S4 S3 47.360
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at CCD/6-31G**
 hartrees
Energy at 0K-1590.511005
Energy at 298.15K 
HF Energy-1589.951426
Nuclear repulsion energy329.935086
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 CCD/6-31G**
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 682 639 1.43      
2 A1 383 359 7.97      
3 A1 133 125 0.51      
4 A2 206 193 0.00      
5 B2 749 702 35.43      
6 B2 335 314 0.93      

Unscaled Zero Point Vibrational Energy (zpe) 1244.2 cm-1
Scaled (by 0.9376) Zero Point Vibrational Energy (zpe) 1166.6 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 CCD/6-31G**
ABC
0.15577 0.07030 0.04844

See section I.F.4 to change rotational constant units
Geometric Data calculated at CCD/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.058 0.920
S2 0.000 -1.058 0.920
S3 0.000 1.622 -0.920
S4 0.000 -1.622 -0.920

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.11591.92433.2506
S22.11593.25061.9243
S31.92433.25063.2438
S43.25061.92433.2438

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 107.042 S1 S3 S4 72.958
S2 S1 S3 107.042 S2 S4 S3 72.958
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at CCD/6-31G**
 hartrees
Energy at 0K-1590.506969
Energy at 298.15K 
HF Energy-1589.923011
Nuclear repulsion energy330.834544
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 CCD/6-31G**
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 745 699 0.00      
2 Ag 276 259 0.00      
3 Au 238 223 0.00      
4 B1u 4853 4551 0.00      
5 B2u 95 89 13.57      
6 B3g 327 307 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 3267.1 cm-1
Scaled (by 0.9376) Zero Point Vibrational Energy (zpe) 3063.3 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 CCD/6-31G**
ABC
0.14552 0.07820 0.05087

See section I.F.4 to change rotational constant units
Geometric Data calculated at CCD/6-31G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.952 1.298
S2 0.000 0.952 -1.298
S3 0.000 -0.952 1.298
S4 0.000 -0.952 -1.298

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.59661.90353.2196
S22.59663.21961.9035
S31.90353.21962.5966
S43.21961.90352.5966

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