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

using model chemistry: MP2/3-21G*

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 MP2/3-21G*
 hartrees
Energy at 0K-1583.087161
Energy at 298.15K 
HF Energy-1582.600162
Nuclear repulsion energy349.153881
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 MP2/3-21G*
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 490 466 0.00 40.50 0.06 0.12
2 A1 206 196 0.00 3.41 0.75 0.86
3 B1 433 412 0.00 25.43 0.75 0.86
4 B2 330 314 0.46 10.70 0.75 0.86
5 E 401 381 0.00 6.93 0.75 0.86
5 E 401 381 0.00 6.93 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1130.3 cm-1
Scaled (by 0.9513) Zero Point Vibrational Energy (zpe) 1075.3 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 MP2/3-21G*
ABC
0.11660 0.11660 0.06391

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/3-21G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.436 0.315
S2 0.000 -1.436 0.315
S3 -1.436 0.000 -0.315
S4 1.436 0.000 -0.315

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87232.12652.1265
S22.87232.12652.1265
S32.12652.12652.8723
S42.12652.12652.8723

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 47.517 S1 S3 S4 47.517
S2 S1 S3 47.517 S2 S4 S3 47.517
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP2/3-21G*
 hartrees
Energy at 0K-1583.171168
Energy at 298.15K 
HF Energy-1582.540921
Nuclear repulsion energy316.479615
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 MP2/3-21G*
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 657 625 0.00 25.37 0.41 0.58
2 A1 294 280 0.05 0.01 0.33 0.49
3 A1 154 146 0.00 4819.84 0.32 0.49
4 A2 195 185 0.00 0.00 0.75 0.86
5 B2 721 686 81.51 0.00 0.75 0.86
6 B2 270 257 0.00 24.49 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1145.1 cm-1
Scaled (by 0.9513) Zero Point Vibrational Energy (zpe) 1089.3 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 MP2/3-21G*
ABC
0.14205 0.06669 0.04538

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.406 0.963
S2 0.000 -1.406 0.963
S3 0.000 1.406 -0.963
S4 0.000 -1.406 -0.963

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.81151.92663.4085
S22.81153.40851.9266
S31.92663.40852.8119
S43.40851.92662.8119

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 90.006 S1 S3 S4 89.994
S2 S1 S3 90.006 S2 S4 S3 89.994
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2/3-21G*
 hartrees
Energy at 0K-1583.171168
Energy at 298.15K 
HF Energy-1582.540920
Nuclear repulsion energy316.474737
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 MP2/3-21G*
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 657 625 0.00 25.40 0.41 0.58
2 Ag 153 146 0.00 4749.40 0.32 0.49
3 Au 195 185 0.00 0.00 0.00 0.00
4 B1u 721 686 80.38 0.00 0.75 0.86
5 B2u 294 279 0.05 0.00 0.30 0.46
6 B3g 270 257 0.00 24.40 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1144.9 cm-1
Scaled (by 0.9513) Zero Point Vibrational Energy (zpe) 1089.2 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 MP2/3-21G*
ABC
0.14208 0.06667 0.04538

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/3-21G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.963 1.406
S2 0.000 0.963 -1.406
S3 0.000 -0.963 1.406
S4 0.000 -0.963 -1.406

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.81221.92643.4087
S22.81223.40871.9264
S31.92643.40872.8122
S43.40871.92642.8122

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