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

using model chemistry: MP2=FULL/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-1590.757267
Energy at 298.15K 
HF Energy-1590.030171
Nuclear repulsion energy353.571709
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(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 549 516 0.00 33.83 0.04 0.07
2 A1 217 204 0.00 1.79 0.75 0.86
3 B1 492 462 0.00 15.25 0.75 0.86
4 B2 307 289 0.00 8.15 0.75 0.86
5 E 462 434 0.00 4.28 0.75 0.86
5 E 462 434 0.00 4.28 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1243.5 cm-1
Scaled (by 0.9399) Zero Point Vibrational Energy (zpe) 1168.8 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(2df,p)
ABC
0.11935 0.11935 0.06587

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/6-31G(2df,p)

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.415 0.322
S2 0.000 -1.415 0.322
S3 -1.415 0.000 -0.322
S4 1.415 0.000 -0.322

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.82932.10192.1019
S22.82932.10192.1019
S32.10192.10192.8293
S42.10192.10192.8293

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 47.698 S1 S3 S4 47.698
S2 S1 S3 47.698 S2 S4 S3 47.698
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP2=FULL/6-31G(2df,p)
 hartrees
Energy at 0K-1590.823258
Energy at 298.15K 
HF Energy-1589.963982
Nuclear repulsion energy330.010389
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(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 672 632 0.00 0.00 0.33 0.50
2 A1 433 407 0.11 61911.48 0.33 0.50
3 A1 233 219 0.00 0.00 0.33 0.50
4 A2 233 219 0.00 0.58 0.75 0.86
5 B2 5226 4912 0.00 778.56 0.75 0.86
6 B2 317 298 0.00 8179.56 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 3557.3 cm-1
Scaled (by 0.9399) Zero Point Vibrational Energy (zpe) 3343.5 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 MP2=FULL/6-31G(2df,p)
ABC
0.14259 0.07911 0.05088

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.291 0.961
S2 0.000 -1.291 0.961
S3 0.000 1.291 -0.961
S4 0.000 -1.291 -0.961

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58141.92303.2191
S22.58143.21911.9230
S31.92303.21912.5819
S43.21911.92302.5819

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 90.008 S1 S3 S4 89.992
S2 S1 S3 90.008 S2 S4 S3 89.992
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2=FULL/6-31G(2df,p)
 hartrees
Energy at 0K-1590.823258
Energy at 298.15K 
HF Energy-1589.964021
Nuclear repulsion energy330.009975
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(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 673 633 0.00 0.00 0.33 0.50
2 Ag 233 219 0.00 0.00 0.33 0.50
3 Au 233 219 0.00 9573.09 0.75 0.86
4 B1u 5481 5152 0.00 0.00 0.38 0.55
5 B2u 432 406 0.10 0.02 0.71 0.83
6 B3g 317 298 0.00 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 3684.6 cm-1
Scaled (by 0.9399) Zero Point Vibrational Energy (zpe) 3463.2 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(2df,p)
ABC
0.14265 0.07908 0.05087

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/6-31G(2df,p)

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.961 1.291
S2 0.000 0.961 -1.291
S3 0.000 -0.961 1.291
S4 0.000 -0.961 -1.291

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58221.92263.2193
S22.58223.21931.9226
S31.92263.21932.5822
S43.21931.92262.5822

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