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

using model chemistry: MP3/cc-pCVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no D2D 1A1
1 2 yes C2V 1A1
1 3 no D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at MP3/cc-pCVTZ
 hartrees
Energy at 0K-1590.887009
Energy at 298.15K 
HF Energy-1590.155874
Nuclear repulsion energy350.565327
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 MP3/cc-pCVTZ
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 530 530 0.00      
2 A1 202 202 0.00      
3 B1 486 486 0.00      
4 B2 317 317 0.00      
5 E 456 456 0.03      
5 E 456 456 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 1223.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1223.3 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 MP3/cc-pCVTZ
ABC
0.11767 0.11767 0.06425

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/cc-pCVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.432 0.307
S2 0.000 -1.432 0.307
S3 -1.432 0.000 -0.307
S4 1.432 0.000 -0.307

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.86472.11682.1168
S22.86472.11682.1168
S32.11682.11682.8647
S42.11682.11682.8647

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 47.417 S1 S3 S4 47.417
S2 S1 S3 47.417 S2 S4 S3 47.417
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP3/cc-pCVTZ
 hartrees
Energy at 0K-1590.899169
Energy at 298.15K 
HF Energy-1590.131990
Nuclear repulsion energy333.020822
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 MP3/cc-pCVTZ
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 693 693 4.14      
2 A1 420 420 5.59      
3 A1 137 137 0.09      
4 A2 208 208 0.00      
5 B2 751 751 11.27      
6 B2 342 342 2.22      

Unscaled Zero Point Vibrational Energy (zpe) 1275.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1275.0 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 MP3/cc-pCVTZ
ABC
0.15936 0.07121 0.04922

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/cc-pCVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.040 0.909
S2 0.000 -1.040 0.909
S3 0.000 1.619 -0.909
S4 0.000 -1.619 -0.909

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.08031.90873.2214
S22.08033.22141.9087
S31.90873.22143.2373
S43.22141.90873.2373

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 107.644 S1 S3 S4 72.356
S2 S1 S3 107.644 S2 S4 S3 72.356
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3/cc-pCVTZ
 hartrees
Energy at 0K-1590.887303
Energy at 298.15K 
HF Energy-1590.096490
Nuclear repulsion energy336.903240
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 MP3/cc-pCVTZ
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 788 788 0.00      
2 Ag 302 302 0.00      
3 Au 248 248 0.00      
4 B1u 1121 1121 10356.77      
5 B2u 199i 199i 19.03      
6 B3g 346 346 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1302.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1302.3 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 MP3/cc-pCVTZ
ABC
0.14935 0.08201 0.05294

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/cc-pCVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.939 1.268
S2 0.000 0.939 -1.268
S3 0.000 -0.939 1.268
S4 0.000 -0.939 -1.268

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.53561.87893.1559
S22.53563.15591.8789
S31.87893.15592.5356
S43.15591.87892.5356

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