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

using model chemistry: MP2/daug-cc-pVTZ

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/daug-cc-pVTZ
 hartrees
Energy at 0K-1590.846894
Energy at 298.15K 
HF Energy-1590.151044
Nuclear repulsion energy351.392716
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/daug-cc-pVTZ
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 533 533 0.00 38.21 0.04 0.07
2 A1 213 213 0.00 1.18 0.71 0.83
3 B1 474 474 0.00 13.22 0.75 0.86
4 B2 303 303 0.04 5.82 0.75 0.86
5 E 446 446 0.01 3.02 0.75 0.86
5 E 446 446 0.01 3.02 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1207.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1207.2 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/daug-cc-pVTZ
ABC
0.11783 0.11783 0.06513

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/daug-cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.423 0.327
S2 0.000 -1.423 0.327
S3 -1.423 0.000 -0.327
S4 1.423 0.000 -0.327

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.84522.11532.1153
S22.84522.11532.1153
S32.11532.11532.8452
S42.11532.11532.8452

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/daug-cc-pVTZ
 hartrees
Energy at 0K-1590.916037
Energy at 298.15K 
HF Energy-1590.081790
Nuclear repulsion energy327.418483
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/daug-cc-pVTZ
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 649 649 0.00 0.00 0.33 0.50
2 A1 458 458 0.83 23743.41 0.33 0.50
3 A1 228 228 0.00 0.00 0.33 0.50
4 A2 225 225 0.00 0.03 0.75 0.86
5 B2 3953 3953 7481508.00 68.64 0.75 0.86
6 B2 307 307 0.00 4391.32 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2910.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2910.3 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/daug-cc-pVTZ
ABC
0.14094 0.07753 0.05001

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.304 0.967
S2 0.000 -1.304 0.967
S3 0.000 1.304 -0.967
S4 0.000 -1.304 -0.967

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.60791.93423.2469
S22.60793.24691.9342
S31.93423.24692.6078
S43.24691.93422.6078

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 89.998 S1 S3 S4 90.002
S2 S1 S3 89.998 S2 S4 S3 90.002
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2/daug-cc-pVTZ
 hartrees
Energy at 0K-1590.916037
Energy at 298.15K 
HF Energy-1590.081833
Nuclear repulsion energy327.435879
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/daug-cc-pVTZ
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 650 650 0.00 0.00 0.33 0.50
2 Ag 228 228 0.00 0.00 0.33 0.50
3 Au 225 225 0.00 0.00 0.75 0.86
4 B1u 3930 3930 7300007.00 0.00 0.74 0.85
5 B2u 458 458 0.82 0.01 0.61 0.76
6 B3g 307 307 0.00 4248.39 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2898.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2898.6 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/daug-cc-pVTZ
ABC
0.14098 0.07752 0.05002

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/daug-cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.967 1.304
S2 0.000 0.967 -1.304
S3 0.000 -0.967 1.304
S4 0.000 -0.967 -1.304

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.60801.93393.2468
S22.60803.24681.9339
S31.93393.24682.6080
S43.24681.93392.6080

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