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

using model chemistry: MP2=FULL/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=FULL/cc-pVTZ
 hartrees
Energy at 0K-1590.969633
Energy at 298.15K 
HF Energy-1590.148008
Nuclear repulsion energy352.600898
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=FULL/cc-pVTZ
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 543 516 0.00 35.28 0.04 0.07
2 A1 213 202 0.00 2.56 0.74 0.85
3 B1 484 459 0.00 14.67 0.75 0.86
4 B2 304 288 0.00 7.76 0.75 0.86
5 E 456 433 0.00 4.50 0.75 0.86
5 E 456 433 0.00 4.50 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1227.1 cm-1
Scaled (by 0.9494) Zero Point Vibrational Energy (zpe) 1165.0 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=FULL/cc-pVTZ
ABC
0.11865 0.11865 0.06557

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.418 0.325
S2 0.000 -1.418 0.325
S3 -1.418 0.000 -0.325
S4 1.418 0.000 -0.325

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.83572.10802.1080
S22.83572.10802.1080
S32.10802.10802.8357
S42.10802.10802.8357

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 MP2=FULL/cc-pVTZ
 hartrees
Energy at 0K-1591.036425
Energy at 298.15K 
HF Energy-1590.080972
Nuclear repulsion energy329.182114
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=FULL/cc-pVTZ
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 664 630 0.00 6599230.00 0.33 0.50
2 A1 449 426 0.27 2968.14 0.33 0.50
3 A1 234 222 0.00 0.00 0.33 0.50
4 A2 232 221 0.00 1.92 0.75 0.86
5 B2 14738 13992 0.00 34724.44 0.75 0.86
6 B2 315 299 0.00 18488.42 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 8316.1 cm-1
Scaled (by 0.9494) Zero Point Vibrational Energy (zpe) 7895.3 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=FULL/cc-pVTZ
ABC
0.14192 0.07869 0.05062

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.294 0.964
S2 0.000 -1.294 0.964
S3 0.000 1.294 -0.964
S4 0.000 -1.294 -0.964

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58861.92753.2274
S22.58863.22741.9275
S31.92753.22742.5885
S43.22741.92752.5885

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

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2=FULL/cc-pVTZ
 hartrees
Energy at 0K-1591.036425
Energy at 298.15K 
HF Energy-1590.080972
Nuclear repulsion energy329.190592
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=FULL/cc-pVTZ
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 664 630 0.00 7704715.00 0.33 0.50
2 Ag 234 222 0.00 0.00 0.33 0.50
3 Au 233 221 0.00 0.00 0.75 0.86
4 B1u 14010 13301 0.00 0.00 0.45 0.62
5 B2u 449 426 0.27 1.01 0.73 0.85
6 B3g 315 299 0.00 15345.57 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 7952.2 cm-1
Scaled (by 0.9494) Zero Point Vibrational Energy (zpe) 7549.8 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=FULL/cc-pVTZ
ABC
0.14191 0.07870 0.05063

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.964 1.294
S2 0.000 0.964 -1.294
S3 0.000 -0.964 1.294
S4 0.000 -0.964 -1.294

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58831.92763.2272
S22.58833.22721.9276
S31.92763.22722.5883
S43.22721.92762.5883

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