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

using model chemistry: MP2/daug-cc-pVDZ

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/daug-cc-pVDZ
 hartrees
Energy at 0K-1590.634843
Energy at 298.15K 
HF Energy-1590.084806
Nuclear repulsion energy344.693769
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/daug-cc-pVDZ
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 505 505 0.00 42.85 0.04 0.07
2 A1 207 207 0.00 1.23 0.72 0.84
3 B1 440 440 0.00 15.82 0.75 0.86
4 B2 305 305 0.05 6.64 0.75 0.86
5 E 415 415 0.00 3.68 0.75 0.86
5 E 415 415 0.00 3.68 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1142.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1142.8 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/daug-cc-pVDZ
ABC
0.11333 0.11333 0.06276

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/daug-cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.449 0.336
S2 0.000 -1.449 0.336
S3 -1.449 0.000 -0.336
S4 1.449 0.000 -0.336

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89852.15702.1570
S22.89852.15702.1570
S32.15702.15702.8985
S42.15702.15702.8985

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 47.787 S1 S3 S4 47.787
S2 S1 S3 47.787 S2 S4 S3 47.787
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP2/daug-cc-pVDZ
 hartrees
Energy at 0K-1590.714772
Energy at 298.15K 
HF Energy-1590.012528
Nuclear repulsion energy317.855739
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/daug-cc-pVDZ
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 612 612 0.00 293.56 0.54 0.71
2 A1 444 444 1.11 0.05 0.33 0.49
3 A1 189 189 0.00 166469.30 0.33 0.50
4 A2 200 200 0.00 0.00 0.75 0.86
5 B2 794 794 1818.81 0.00 0.75 0.86
6 B2 278 278 0.00 2.43 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1257.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1257.9 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/daug-cc-pVDZ
ABC
0.13585 0.07131 0.04676

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/daug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.360 0.985
S2 0.000 -1.360 0.985
S3 0.000 1.360 -0.985
S4 0.000 -1.360 -0.985

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.71921.97013.3578
S22.71923.35781.9701
S31.97013.35782.7191
S43.35781.97012.7191

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 89.998 S1 S3 S4 90.002
S2 S1 S3 89.998 S2 S4 S3 90.002
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2/daug-cc-pVDZ
 hartrees
Energy at 0K-1590.714772
Energy at 298.15K 
HF Energy-1590.012433
Nuclear repulsion energy317.812237
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/daug-cc-pVDZ
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 612 612 0.00 292.54 0.55 0.71
2 Ag 188 188 0.00 165224.60 0.33 0.50
3 Au 200 200 0.00 0.00 0.75 0.86
4 B1u 793 793 1807.67 0.00 0.61 0.76
5 B2u 444 444 1.13 0.00 0.47 0.64
6 B3g 278 278 0.00 2.43 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1257.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1257.5 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/daug-cc-pVDZ
ABC
0.13579 0.07130 0.04675

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/daug-cc-pVDZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.985 1.360
S2 0.000 0.985 -1.360
S3 0.000 -0.985 1.360
S4 0.000 -0.985 -1.360

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.71931.97053.3582
S22.71933.35821.9705
S31.97053.35822.7193
S43.35821.97052.7193

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