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

using model chemistry: B2PLYP=FULL/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-1592.091468
Energy at 298.15K 
HF Energy-1591.912602
Nuclear repulsion energy345.985841
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/6-31+G**
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 493 469 0.00 51.15 0.07 0.13
2 A1 200 190 0.00 0.91 0.61 0.76
3 B1 429 408 0.00 37.45 0.75 0.86
4 B2 315 299 0.08 8.20 0.75 0.86
5 E 407 387 0.07 5.99 0.75 0.86
5 E 407 387 0.07 5.99 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1125.2 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 1070.1 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/6-31+G**
ABC
0.11452 0.11452 0.06272

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.450 0.317
S2 0.000 -1.450 0.317
S3 -1.450 0.000 -0.317
S4 1.450 0.000 -0.317

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89942.14572.1457
S22.89942.14572.1457
S32.14572.14572.8994
S42.14572.14572.8994

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 47.497 S1 S3 S4 47.497
S2 S1 S3 47.497 S2 S4 S3 47.497
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP=FULL/6-31+G**
 hartrees
Energy at 0K-1592.136711
Energy at 298.15K 
HF Energy-1591.905276
Nuclear repulsion energy323.288941
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/6-31+G**
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 676 643 0.00 46.06 0.13 0.22
2 A1 217 206 0.00 40.74 0.45 0.62
3 A1 108 103 7.91 0.00 0.25 0.39
4 A2 210 200 0.00 0.00 0.75 0.86
5 B2 664 632 42.70 0.00 0.75 0.86
6 B2 293 278 0.00 14.31 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1083.5 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 1030.4 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/6-31+G**
ABC
0.14180 0.07306 0.04821

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.343 0.964
S2 0.000 -1.343 0.964
S3 0.000 1.343 -0.964
S4 0.000 -1.343 -0.964

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.68651.92833.3069
S22.68653.30691.9283
S31.92833.30692.6865
S43.30691.92832.6865

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/6-31+G**
 hartrees
Energy at 0K-1592.136711
Energy at 298.15K 
HF Energy-1591.905300
Nuclear repulsion energy323.322339
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/6-31+G**
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 676 643 0.00 46.05 0.13 0.22
2 Ag 217 206 0.00 40.32 0.45 0.62
3 Au 210 200 0.00 0.00 0.00 0.00
4 B1u 665 632 42.81 0.00 0.00 0.00
5 B2u 108 102 7.92 0.00 0.00 0.00
6 B3g 293 278 0.00 14.30 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1083.8 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 1030.7 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 B2PLYP=FULL/6-31+G**
ABC
0.14182 0.07308 0.04823

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/6-31+G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.964 1.343
S2 0.000 0.964 -1.343
S3 0.000 -0.964 1.343
S4 0.000 -0.964 -1.343

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.68611.92823.3065
S22.68613.30651.9282
S31.92823.30652.6861
S43.30651.92822.6861

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