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

using model chemistry: B2PLYP=FULLultrafine/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
1 2 no C2V 1A1
1 3 no D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at B2PLYP=FULLultrafine/6-311G*
 hartrees
Energy at 0K-1592.310183
Energy at 298.15K 
HF Energy-1592.002317
Nuclear repulsion energy345.019594
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=FULLultrafine/6-311G*
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 489 489 0.00 55.24 0.08 0.14
2 A1 196 196 0.00 3.77 0.69 0.82
3 B1 423 423 0.00 37.42 0.75 0.86
4 B2 304 304 0.04 9.56 0.75 0.86
5 E 403 403 0.09 8.13 0.75 0.86
5 E 403 403 0.09 8.13 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1108.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1108.8 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 B2PLYP=FULLultrafine/6-311G*
ABC
0.11380 0.11380 0.06249

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/6-311G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.452 0.322
S2 0.000 -1.452 0.322
S3 -1.452 0.000 -0.322
S4 1.452 0.000 -0.322

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.90482.15252.1525
S22.90482.15252.1525
S32.15252.15252.9048
S42.15252.15252.9048

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 47.564 S1 S3 S4 47.564
S2 S1 S3 47.564 S2 S4 S3 47.564
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP=FULLultrafine/6-311G*
 hartrees
Energy at 0K-1592.353389
Energy at 298.15K 
HF Energy-1591.992295
Nuclear repulsion energy323.733222
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=FULLultrafine/6-311G*
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 659 659 0.00 43.45 0.22 0.37
2 A1 218 218 0.00 34.24 0.44 0.61
3 A1 117 117 10.23 0.00 0.35 0.52
4 A2 215 215 0.00 0.00 0.75 0.86
5 B2 647 647 49.18 0.00 0.75 0.86
6 B2 297 297 0.00 15.77 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1076.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1076.8 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 B2PLYP=FULLultrafine/6-311G*
ABC
0.14192 0.07341 0.04838

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.340 0.964
S2 0.000 -1.340 0.964
S3 0.000 1.340 -0.964
S4 0.000 -1.340 -0.964

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.67991.92753.3012
S22.67993.30121.9275
S31.92753.30122.6803
S43.30121.92752.6803

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 90.005 S1 S3 S4 89.995
S2 S1 S3 90.005 S2 S4 S3 89.995
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B2PLYP=FULLultrafine/6-311G*
 hartrees
Energy at 0K-1592.353389
Energy at 298.15K 
HF Energy-1591.992290
Nuclear repulsion energy323.728678
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=FULLultrafine/6-311G*
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 659 659 0.00 43.45 0.22 0.37
2 Ag 218 218 0.00 34.19 0.44 0.61
3 Au 215 215 0.00 0.00 0.00 0.00
4 B1u 647 647 49.17 0.00 0.00 0.00
5 B2u 117 117 10.23 0.00 0.00 0.00
6 B3g 297 297 0.00 15.77 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1076.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1076.8 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 B2PLYP=FULLultrafine/6-311G*
ABC
0.14191 0.07341 0.04838

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/6-311G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.964 1.340
S2 0.000 0.964 -1.340
S3 0.000 -0.964 1.340
S4 0.000 -0.964 -1.340

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.68001.92763.3012
S22.68003.30121.9276
S31.92763.30122.6800
S43.30121.92762.6800

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