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

using model chemistry: MP2/aug-cc-pVQZ

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/aug-cc-pVQZ
 hartrees
Energy at 0K-1590.914357
Energy at 298.15K 
HF Energy-1590.166488
Nuclear repulsion energy353.662195
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/aug-cc-pVQZ
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 540 513 0.00 36.46 0.04 0.07
2 A1 217 206 0.00 1.12 0.69 0.82
3 B1 481 457 0.00 12.57 0.75 0.86
4 B2 305 290 0.03 5.63 0.75 0.86
5 E 452 429 0.03 2.84 0.75 0.86
5 E 452 429 0.03 2.84 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1223.3 cm-1
Scaled (by 0.9497) Zero Point Vibrational Energy (zpe) 1161.7 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/aug-cc-pVQZ
ABC
0.11936 0.11936 0.06598

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.413 0.325
S2 0.000 -1.413 0.325
S3 -1.413 0.000 -0.325
S4 1.413 0.000 -0.325

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.82682.10182.1018
S22.82682.10182.1018
S32.10182.10182.8268
S42.10182.10182.8268

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 47.741 S1 S3 S4 47.741
S2 S1 S3 47.741 S2 S4 S3 47.741
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP2/aug-cc-pVQZ
 hartrees
Energy at 0K-1590.982723
Energy at 298.15K 
HF Energy-1590.100238
Nuclear repulsion energy330.058768
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/aug-cc-pVQZ
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 665 632 0.00 6552127.00 0.33 0.50
2 A1 446 424 0.49 9491.33 0.33 0.50
3 A1 236 224 0.00 0.00 0.33 0.50
4 A2 233 221 0.00 1.78 0.75 0.86
5 B2 12247 11631 0.00 18122.79 0.75 0.86
6 B2 315 299 0.00 135490.90 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 7070.6 cm-1
Scaled (by 0.9497) Zero Point Vibrational Energy (zpe) 6714.9 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 MP2/aug-cc-pVQZ
ABC
0.14296 0.07893 0.05086

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.292 0.960
S2 0.000 -1.292 0.960
S3 0.000 1.292 -0.960
S4 0.000 -1.292 -0.960

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58461.92043.2199
S22.58463.21991.9204
S31.92043.21992.5844
S43.21991.92042.5844

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 89.996 S1 S3 S4 90.004
S2 S1 S3 89.996 S2 S4 S3 90.004
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2/aug-cc-pVQZ
 hartrees
Energy at 0K-1590.982723
Energy at 298.15K 
HF Energy-1590.100234
Nuclear repulsion energy330.020269
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/aug-cc-pVQZ
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 666 632 0.00 3527856.00 0.33 0.50
2 Ag 235 223 0.00 0.00 0.33 0.50
3 Au 233 221 0.00 0.00 0.75 0.86
4 B1u 14949 14197 0.00 0.00 0.75 0.86
5 B2u 445 422 0.48 0.07 0.50 0.67
6 B3g 315 299 0.00 270458.70 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 8420.6 cm-1
Scaled (by 0.9497) Zero Point Vibrational Energy (zpe) 7997.0 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/aug-cc-pVQZ
ABC
0.14300 0.07887 0.05084

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.960 1.293
S2 0.000 0.960 -1.293
S3 0.000 -0.960 1.293
S4 0.000 -0.960 -1.293

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58551.92023.2206
S22.58553.22061.9202
S31.92023.22062.5855
S43.22061.92022.5855

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