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

using model chemistry: MP4/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 MP4/daug-cc-pVTZ
 hartrees
Energy at 0K-1590.937943
Energy at 298.15K 
HF Energy-1590.150303
Nuclear repulsion energy348.443213
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 MP4/daug-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 513 513        
2 A1 205 205        
3 B1 455 455        
4 B2 299 299        
5 E 428 428        
5 E 428 428        

Unscaled Zero Point Vibrational Energy (zpe) 1163.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1163.8 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 MP4/daug-cc-pVTZ
ABC
0.11597 0.11597 0.06388

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4/daug-cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.436 0.324
S2 0.000 -1.436 0.324
S3 -1.436 0.000 -0.324
S4 1.436 0.000 -0.324

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87302.13232.1323
S22.87302.13232.1323
S32.13232.13232.8730
S42.13232.13232.8730

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 47.648 S1 S3 S4 47.648
S2 S1 S3 47.648 S2 S4 S3 47.648
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP4/daug-cc-pVTZ
 hartrees
Energy at 0K-1590.988211
Energy at 298.15K 
HF Energy-1590.078449
Nuclear repulsion energy325.272409
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 MP4/daug-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 574 574 0.00      
2 A1 228 228 0.00      
3 A1 218 218 0.00      
4 A2 212 212 0.00      
5 B2 1260 1260 0.00      
6 B2 285 285 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1389.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1389.1 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 MP4/daug-cc-pVTZ
ABC
0.13912 0.07652 0.04937

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.312 0.973
S2 0.000 -1.312 0.973
S3 0.000 1.313 -0.973
S4 0.000 -1.313 -0.973

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.62361.94683.2681
S22.62363.26811.9468
S31.94683.26812.6264
S43.26811.94682.6264

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 90.042 S1 S3 S4 89.958
S2 S1 S3 90.042 S2 S4 S3 89.958
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP4/daug-cc-pVTZ
 hartrees
Energy at 0K-1590.988211
Energy at 298.15K 
HF Energy-1590.078321
Nuclear repulsion energy325.183520
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 MP4/daug-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 580 580        
2 Ag 228 228        
3 Au 213 213        
4 B1u 1225 1225        
5 B2u 220 220        
6 B3g 301 301        

Unscaled Zero Point Vibrational Energy (zpe) 1382.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1382.9 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 MP4/daug-cc-pVTZ
ABC
0.13908 0.07645 0.04933

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4/daug-cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.974 1.313
S2 0.000 0.974 -1.313
S3 0.000 -0.974 1.313
S4 0.000 -0.974 -1.313

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.62631.94713.2693
S22.62633.26931.9471
S31.94713.26932.6263
S43.26931.94712.6263

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