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

using model chemistry: MP4/6-31G*

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 MP4/6-31G*
 hartrees
Energy at 0K-1590.521973
Energy at 298.15K 
HF Energy-1589.975570
Nuclear repulsion energy346.235451
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 MP4/6-31G*
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 486 464        
2 A1 202 193        
3 B1 434 414        
4 B2 320 306        
5 E 408 390        
5 E 408 390        

Unscaled Zero Point Vibrational Energy (zpe) 1129.2 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 1078.2 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 MP4/6-31G*
ABC
0.11468 0.11468 0.06281

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4/6-31G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.449 0.316
S2 0.000 -1.449 0.316
S3 -1.449 0.000 -0.316
S4 1.449 0.000 -0.316

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89742.14422.1442
S22.89742.14422.1442
S32.14422.14422.8974
S42.14422.14422.8974

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 47.497 S1 S3 S4 47.497
S2 S1 S3 47.497 S2 S4 S3 47.497
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP4/6-31G*
 hartrees
Energy at 0K-1590.580103
Energy at 298.15K 
HF Energy-1589.904531
Nuclear repulsion energy314.921809
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 MP4/6-31G*
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 600 573 0.00      
2 A1 169 161 0.00      
3 A1 88 84 0.00      
4 A2 182 174 0.00      
5 B2 582 555 0.00      
6 B2 251 240 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 936.1 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 893.8 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 MP4/6-31G*
ABC
0.13806 0.06742 0.04530

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.398 0.977
S2 0.000 -1.398 0.977
S3 0.000 1.398 -0.977
S4 0.000 -1.398 -0.977

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.79681.95433.4117
S22.79683.41171.9543
S31.95433.41172.7963
S43.41171.95432.7963

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 89.994 S1 S3 S4 90.006
S2 S1 S3 89.994 S2 S4 S3 90.006
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP4/6-31G*
 hartrees
Energy at 0K-1590.580103
Energy at 298.15K 
HF Energy-1589.904491
Nuclear repulsion energy314.910150
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 MP4/6-31G*
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 600 573        
2 Ag 169 161        
3 Au 182 174        
4 B1u 581 555        
5 B2u 89 85        
6 B3g 251 240        

Unscaled Zero Point Vibrational Energy (zpe) 936.2 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 893.9 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 MP4/6-31G*
ABC
0.13803 0.06742 0.04529

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4/6-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.977 1.398
S2 0.000 0.977 -1.398
S3 0.000 -0.977 1.398
S4 0.000 -0.977 -1.398

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.79661.95453.4119
S22.79663.41191.9545
S31.95453.41192.7966
S43.41191.95452.7966

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