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

using model chemistry: MP2/6-311+G(3df,2p)

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 MP2/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.797799
Energy at 298.15K 
HF Energy-1590.128165
Nuclear repulsion energy353.339045
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 MP2/6-311+G(3df,2p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 535 505 0.00 35.63 0.04 0.08
2 A1 218 206 0.00 1.00 0.67 0.80
3 B1 477 450 0.00 13.40 0.75 0.86
4 B2 308 290 0.02 5.41 0.75 0.86
5 E 446 421 0.04 2.95 0.75 0.86
5 E 446 421 0.04 2.95 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1215.0 cm-1
Scaled (by 0.9434) Zero Point Vibrational Energy (zpe) 1146.3 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 MP2/6-311+G(3df,2p)
ABC
0.11914 0.11914 0.06585

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/6-311+G(3df,2p)

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.415 0.325
S2 0.000 -1.415 0.325
S3 -1.415 0.000 -0.325
S4 1.415 0.000 -0.325

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.82962.10372.1037
S22.82962.10372.1037
S32.10372.10372.8296
S42.10372.10372.8296

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 47.737 S1 S3 S4 47.737
S2 S1 S3 47.737 S2 S4 S3 47.737
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP2/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.869108
Energy at 298.15K 
HF Energy-1590.062051
Nuclear repulsion energy328.209399
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 MP2/6-311+G(3df,2p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 663 626 0.00 3568601.00 0.34 0.50
2 A1 423 399 0.25 1900.59 0.33 0.50
3 A1 217 205 0.00 0.91 0.33 0.50
4 A2 226 214 0.00 754.85 0.75 0.86
5 B2 2765 2609 1640564.00 8.64 0.75 0.86
6 B2 309 292 0.00 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2302.1 cm-1
Scaled (by 0.9434) Zero Point Vibrational Energy (zpe) 2171.8 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 MP2/6-311+G(3df,2p)
ABC
0.14299 0.07710 0.05009

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.307 0.960
S2 0.000 -1.307 0.960
S3 0.000 1.308 -0.960
S4 0.000 -1.308 -0.960

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.61501.92033.2444
S22.61503.24441.9203
S31.92033.24442.6152
S43.24441.92032.6152

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 90.003 S1 S3 S4 89.997
S2 S1 S3 90.003 S2 S4 S3 89.997
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.869108
Energy at 298.15K 
HF Energy-1590.062118
Nuclear repulsion energy328.280207
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 MP2/6-311+G(3df,2p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 663 626 0.00 5025448.00 0.33 0.50
2 Ag 218 206 0.00 0.00 0.33 0.50
3 Au 227 214 0.00 947.56 0.75 0.86
4 B1u 2895 2731 1989103.00 0.00 0.75 0.86
5 B2u 423 399 0.25 0.00 0.75 0.86
6 B3g 309 292 0.00 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2367.7 cm-1
Scaled (by 0.9434) Zero Point Vibrational Energy (zpe) 2233.7 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 MP2/6-311+G(3df,2p)
ABC
0.14299 0.07717 0.05012

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/6-311+G(3df,2p)

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.960 1.307
S2 0.000 0.960 -1.307
S3 0.000 -0.960 1.307
S4 0.000 -0.960 -1.307

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.61391.92033.2435
S22.61393.24351.9203
S31.92033.24352.6139
S43.24351.92032.6139

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