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

using model chemistry: MP3/6-31+G**

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 MP3/6-31+G**
 hartrees
Energy at 0K-1590.507092
Energy at 298.15K 
HF Energy-1589.981245
Nuclear repulsion energy347.385201
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 MP3/6-31+G**
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 503 468 0.00      
2 A1 204 190 0.00      
3 B1 459 427 0.00      
4 B2 334 310 0.13      
5 E 432 402 0.05      
5 E 432 402 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 1181.6 cm-1
Scaled (by 0.9305) Zero Point Vibrational Energy (zpe) 1099.5 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 MP3/6-31+G**
ABC
0.11554 0.11554 0.06310

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.445 0.310
S2 0.000 -1.445 0.310
S3 -1.445 0.000 -0.310
S4 1.445 0.000 -0.310

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89072.13632.1363
S22.89072.13632.1363
S32.13632.13632.8907
S42.13632.13632.8907

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 47.423 S1 S3 S4 47.423
S2 S1 S3 47.423 S2 S4 S3 47.423
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP3/6-31+G**
 hartrees
Energy at 0K-1590.525698
Energy at 298.15K 
HF Energy-1589.952901
Nuclear repulsion energy328.523437
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 MP3/6-31+G**
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 669 623 0.37      
2 A1 367 341 7.02      
3 A1 139 129 0.25      
4 A2 187 174 0.00      
5 B2 781 727 256.76      
6 B2 329 306 1.20      

Unscaled Zero Point Vibrational Energy (zpe) 1236.0 cm-1
Scaled (by 0.9305) Zero Point Vibrational Energy (zpe) 1150.1 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 MP3/6-31+G**
ABC
0.15471 0.06968 0.04804

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.069 0.923
S2 0.000 -1.069 0.923
S3 0.000 1.625 -0.923
S4 0.000 -1.625 -0.923

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.13871.92793.2660
S22.13873.26601.9279
S31.92793.26603.2496
S43.26601.92793.2496

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 106.745 S1 S3 S4 73.255
S2 S1 S3 106.745 S2 S4 S3 73.255
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3/6-31+G**
 hartrees
Energy at 0K-1590.519979
Energy at 298.15K 
HF Energy-1589.925694
Nuclear repulsion energy330.204563
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 MP3/6-31+G**
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 774 720 0.00      
2 Ag 282 263 0.00      
3 Au 224 209 0.00      
4 B1u 3747 3486 6905296.00      
5 B2u 88i 82i 16.96      
6 B3g 326 303 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2632.3 cm-1
Scaled (by 0.9305) Zero Point Vibrational Energy (zpe) 2449.4 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 MP3/6-31+G**
ABC
0.14638 0.07709 0.05050

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/6-31+G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.949 1.308
S2 0.000 0.949 -1.308
S3 0.000 -0.949 1.308
S4 0.000 -0.949 -1.308

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.61531.89793.2313
S22.61533.23131.8979
S31.89793.23132.6153
S43.23131.89792.6153

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