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

using model chemistry: MP2/TZVP

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/TZVP
 hartrees
Energy at 0K-1590.597366
Energy at 298.15K 
HF Energy-1590.082623
Nuclear repulsion energy348.083708
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/TZVP
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 519 492 0.00 41.71 0.06 0.11
2 A1 204 194 0.00 3.66 0.72 0.84
3 B1 465 440 0.00 25.49 0.75 0.86
4 B2 307 291 0.06 9.14 0.75 0.86
5 E 438 416 0.00 7.02 0.75 0.86
5 E 438 416 0.00 7.02 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1185.4 cm-1
Scaled (by 0.9479) Zero Point Vibrational Energy (zpe) 1123.7 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/TZVP
ABC
0.11574 0.11574 0.06374

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/TZVP

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.438 0.324
S2 0.000 -1.438 0.324
S3 -1.438 0.000 -0.324
S4 1.438 0.000 -0.324

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87602.13442.1344
S22.87602.13442.1344
S32.13442.13442.8760
S42.13442.13442.8760

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 47.644 S1 S3 S4 47.644
S2 S1 S3 47.644 S2 S4 S3 47.644
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP2/TZVP
 hartrees
Energy at 0K-1590.665863
Energy at 298.15K 
HF Energy-1590.007709
Nuclear repulsion energy319.755655
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/TZVP
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 628 596 0.00 705.62 0.45 0.62
2 A1 386 366 0.19 0.91 0.33 0.50
3 A1 173 164 0.00 283268.10 0.33 0.50
4 A2 207 196 0.00 0.00 0.75 0.86
5 B2 820 777 2304.43 0.01 0.75 0.86
6 B2 284 270 0.00 59.24 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1249.1 cm-1
Scaled (by 0.9479) Zero Point Vibrational Energy (zpe) 1184.0 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/TZVP
ABC
0.13837 0.07166 0.04721

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.356 0.976
S2 0.000 -1.356 0.976
S3 0.000 1.356 -0.976
S4 0.000 -1.356 -0.976

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.71271.95213.3419
S22.71273.34191.9521
S31.95213.34192.7122
S43.34191.95212.7122

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 89.993 S1 S3 S4 90.007
S2 S1 S3 89.993 S2 S4 S3 90.007
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2/TZVP
 hartrees
Energy at 0K-1590.665863
Energy at 298.15K 
HF Energy-1590.007715
Nuclear repulsion energy319.757504
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/TZVP
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 629 596 0.00 703.13 0.45 0.62
2 Ag 173 164 0.00 282427.30 0.33 0.50
3 Au 207 196 0.00 0.00 0.00 0.00
4 B1u 820 777 2299.49 0.00 0.75 0.86
5 B2u 386 366 0.19 0.00 0.75 0.86
6 B3g 284 270 0.00 59.17 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1249.0 cm-1
Scaled (by 0.9479) Zero Point Vibrational Energy (zpe) 1183.9 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/TZVP
ABC
0.13837 0.07166 0.04721

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/TZVP

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.976 1.356
S2 0.000 0.976 -1.356
S3 0.000 -0.976 1.356
S4 0.000 -0.976 -1.356

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.71251.95203.3419
S22.71253.34191.9520
S31.95203.34192.7125
S43.34191.95202.7125

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