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

using model chemistry: B2PLYP=FULL/aug-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 B2PLYP=FULL/aug-cc-pVDZ
 hartrees
Energy at 0K-1592.212659
Energy at 298.15K 
HF Energy-1592.014344
Nuclear repulsion energy343.907746
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 B2PLYP=FULL/aug-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 501 482 0.00 45.65 0.04 0.08
2 A1 199 191 0.00 1.08 0.70 0.82
3 B1 430 414 0.00 20.08 0.75 0.86
4 B2 302 291 0.05 7.61 0.75 0.86
5 E 408 393 0.05 3.81 0.75 0.86
5 E 408 393 0.05 3.81 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1124.3 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 1081.3 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 B2PLYP=FULL/aug-cc-pVDZ
ABC
0.11300 0.11300 0.06219

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/aug-cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.456 0.327
S2 0.000 -1.456 0.327
S3 -1.456 0.000 -0.327
S4 1.456 0.000 -0.327

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.91172.16012.1601
S22.91172.16012.1601
S32.16012.16012.9117
S42.16012.16012.9117

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 47.625 S1 S3 S4 47.625
S2 S1 S3 47.625 S2 S4 S3 47.625
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP=FULL/aug-cc-pVDZ
 hartrees
Energy at 0K-1592.255627
Energy at 298.15K 
HF Energy-1592.004215
Nuclear repulsion energy324.254932
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 B2PLYP=FULL/aug-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 670 644 0.00 43.30 0.09 0.16
2 A1 235 226 0.00 19.11 0.55 0.71
3 A1 128 123 6.45 0.00 0.64 0.78
4 A2 218 210 0.00 0.00 0.75 0.86
5 B2 656 631 34.43 0.00 0.75 0.86
6 B2 302 290 0.00 8.61 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1104.3 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 1062.1 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 B2PLYP=FULL/aug-cc-pVDZ
ABC
0.13991 0.07505 0.04885

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.325 0.971
S2 0.000 -1.325 0.971
S3 0.000 1.325 -0.971
S4 0.000 -1.325 -0.971

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.65051.94123.2854
S22.65053.28541.9412
S31.94123.28542.6506
S43.28541.94122.6506

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 90.001 S1 S3 S4 89.999
S2 S1 S3 90.001 S2 S4 S3 89.999
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B2PLYP=FULL/aug-cc-pVDZ
 hartrees
Energy at 0K-1592.255627
Energy at 298.15K 
HF Energy-1592.004214
Nuclear repulsion energy324.262443
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 B2PLYP=FULL/aug-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 670 644 0.00 43.31 0.09 0.16
2 Ag 235 226 0.00 18.90 0.56 0.71
3 Au 218 210 0.00 0.00 0.00 0.00
4 B1u 656 631 34.46 0.00 0.00 0.00
5 B2u 129 124 6.46 0.00 0.00 0.00
6 B3g 302 290 0.00 8.61 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1104.3 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 1062.1 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 B2PLYP=FULL/aug-cc-pVDZ
ABC
0.13989 0.07507 0.04885

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/aug-cc-pVDZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.971 1.325
S2 0.000 0.971 -1.325
S3 0.000 -0.971 1.325
S4 0.000 -0.971 -1.325

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.65021.94143.2852
S22.65023.28521.9414
S31.94143.28522.6502
S43.28521.94142.6502

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