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

using model chemistry: B2PLYP=FULL/3-21G

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/3-21G
 hartrees
Energy at 0K-1584.176356
Energy at 298.15K 
HF Energy-1584.078069
Nuclear repulsion energy312.865297
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/3-21G
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 428 407 0.00 37.77 0.06 0.11
2 A1 144 137 0.00 10.14 0.75 0.86
3 B1 348 331 0.00 24.91 0.75 0.86
4 B2 247 235 0.09 16.50 0.75 0.86
5 E 338 322 0.00 8.50 0.75 0.86
5 E 338 322 0.00 8.50 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 921.2 cm-1
Scaled (by 0.952) Zero Point Vibrational Energy (zpe) 876.9 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 B2PLYP=FULL/3-21G
ABC
0.09342 0.09342 0.05163

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/3-21G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.598 0.367
S2 0.000 -1.598 0.367
S3 -1.598 0.000 -0.367
S4 1.598 0.000 -0.367

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S13.19582.37582.3758
S23.19582.37582.3758
S32.37582.37583.1958
S42.37582.37583.1958

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 47.733 S1 S3 S4 47.733
S2 S1 S3 47.733 S2 S4 S3 47.733
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP=FULL/3-21G
 hartrees
Energy at 0K-1584.217699
Energy at 298.15K 
HF Energy-1584.050070
Nuclear repulsion energy298.758246
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/3-21G
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 482 458 0.00 49.30 0.14 0.24
2 A1 225 214 1.83 0.83 0.35 0.52
3 A1 218 208 0.00 1868.47 0.35 0.52
4 A2 168 159 0.00 0.00 0.75 0.86
5 B2 497 473 0.70 0.00 0.75 0.86
6 B2 236 224 0.00 27.21 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 912.1 cm-1
Scaled (by 0.952) Zero Point Vibrational Energy (zpe) 868.3 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/3-21G
ABC
0.11565 0.06557 0.04184

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.418 1.068
S2 0.000 -1.418 1.068
S3 0.000 1.418 -1.068
S4 0.000 -1.418 -1.068

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.83552.13523.5498
S22.83553.54982.1352
S32.13523.54982.8361
S43.54982.13522.8361

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 90.008 S1 S3 S4 89.992
S2 S1 S3 90.008 S2 S4 S3 89.992
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B2PLYP=FULL/3-21G
 hartrees
Energy at 0K-1584.217699
Energy at 298.15K 
HF Energy-1584.050070
Nuclear repulsion energy298.762977
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/3-21G
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 481 458 0.00 49.21 0.14 0.24
2 Ag 219 208 0.00 1854.49 0.35 0.52
3 Au 168 160 0.00 0.00 0.00 0.00
4 B1u 496 473 0.68 0.00 0.36 0.53
5 B2u 225 214 1.84 0.00 0.63 0.77
6 B3g 236 224 0.00 27.19 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 912.2 cm-1
Scaled (by 0.952) Zero Point Vibrational Energy (zpe) 868.4 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/3-21G
ABC
0.11564 0.06558 0.04185

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/3-21G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.068 1.418
S2 0.000 1.068 -1.418
S3 0.000 -1.068 1.418
S4 0.000 -1.068 -1.418

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.83562.13533.5496
S22.83563.54962.1353
S32.13533.54962.8356
S43.54962.13532.8356

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