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

using model chemistry: MP2=FULL/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 no C2V 1A1
1 3 yes D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at MP2=FULL/6-31G*
 hartrees
Energy at 0K-1590.496679
Energy at 298.15K 
HF Energy-1589.976869
Nuclear repulsion energy349.285951
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 MP2=FULL/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 510 480 0.00 44.26 0.06 0.12
2 A1 209 197 0.00 2.85 0.74 0.85
3 B1 458 432 0.00 28.31 0.75 0.86
4 B2 326 307 0.34 9.77 0.75 0.86
5 E 431 406 0.00 7.15 0.75 0.86
5 E 431 406 0.00 7.15 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1182.1 cm-1
Scaled (by 0.9422) Zero Point Vibrational Energy (zpe) 1113.8 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 MP2=FULL/6-31G*
ABC
0.11668 0.11668 0.06397

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/6-31G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.435 0.315
S2 0.000 -1.435 0.315
S3 -1.435 0.000 -0.315
S4 1.435 0.000 -0.315

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87092.12582.1258
S22.87092.12582.1258
S32.12582.12582.8709
S42.12582.12582.8709

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 47.526 S1 S3 S4 47.526
S2 S1 S3 47.526 S2 S4 S3 47.526
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP2=FULL/6-31G*
 hartrees
Energy at 0K-1590.573737
Energy at 298.15K 
HF Energy-1589.902737
Nuclear repulsion energy313.355391
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 MP2=FULL/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 638 601 0.00 29.46 0.31 0.47
2 A1 296 279 0.18 0.00 0.33 0.49
3 A1 118 111 0.00 2052.29 0.31 0.48
4 A2 185 174 0.00 0.00 0.75 0.86
5 B2 696 656 35.38 0.00 0.75 0.86
6 B2 256 241 0.00 19.63 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1094.3 cm-1
Scaled (by 0.9422) Zero Point Vibrational Energy (zpe) 1031.0 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 MP2=FULL/6-31G*
ABC
0.13966 0.06517 0.04444

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.422 0.972
S2 0.000 -1.422 0.972
S3 0.000 1.422 -0.972
S4 0.000 -1.422 -0.972

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.84441.94303.4446
S22.84443.44461.9430
S31.94303.44462.8442
S43.44461.94302.8442

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 89.996 S1 S3 S4 90.004
S2 S1 S3 89.996 S2 S4 S3 90.004
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2=FULL/6-31G*
 hartrees
Energy at 0K-1590.573737
Energy at 298.15K 
HF Energy-1589.902686
Nuclear repulsion energy313.336901
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 MP2=FULL/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 637 600 0.00 29.36 0.31 0.48
2 Ag 119 112 0.00 2086.74 0.31 0.48
3 Au 185 174 0.00 0.00 0.00 0.00
4 B1u 695 655 35.99 0.00 0.00 0.00
5 B2u 297 280 0.19 0.00 0.33 0.49
6 B3g 256 241 0.00 19.69 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1094.3 cm-1
Scaled (by 0.9422) Zero Point Vibrational Energy (zpe) 1031.1 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 MP2=FULL/6-31G*
ABC
0.13957 0.06520 0.04444

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/6-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.972 1.422
S2 0.000 0.972 -1.422
S3 0.000 -0.972 1.422
S4 0.000 -0.972 -1.422

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.84371.94363.4444
S22.84373.44441.9436
S31.94363.44442.8437
S43.44441.94362.8437

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