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

using model chemistry: QCISD(T)/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 yes C2V 1A1
1 3 no D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at QCISD(T)/6-31G*
 hartrees
Energy at 0K-1590.524809
Energy at 298.15K 
HF Energy-1589.975333
Nuclear repulsion energy345.799143
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 QCISD(T)/6-31G*
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 483 463        
2 A1 201 193        
3 B1 422 405        
4 B2 322 309        
5 E 402 386        
5 E 402 386        

Unscaled Zero Point Vibrational Energy (zpe) 1116.0 cm-1
Scaled (by 0.9593) Zero Point Vibrational Energy (zpe) 1070.6 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 QCISD(T)/6-31G*
ABC
0.11441 0.11441 0.06263

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.451 0.316
S2 0.000 -1.451 0.316
S3 -1.451 0.000 -0.316
S4 1.451 0.000 -0.316

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.90142.14682.1468
S22.90142.14682.1468
S32.14682.14682.9014
S42.14682.14682.9014

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 47.487 S1 S3 S4 47.487
S2 S1 S3 47.487 S2 S4 S3 47.487
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at QCISD(T)/6-31G*
 hartrees
Energy at 0K-1590.560215
Energy at 298.15K 
HF Energy-1589.938231
Nuclear repulsion energy324.159222
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 QCISD(T)/6-31G*
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 666 639        
2 A1 246 236        
3 A1 96 92        
4 A2 182 175        
5 B2 597 573        
6 B2 301 289        

Unscaled Zero Point Vibrational Energy (zpe) 1043.9 cm-1
Scaled (by 0.9593) Zero Point Vibrational Energy (zpe) 1001.4 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 QCISD(T)/6-31G*
ABC
0.14875 0.06928 0.04727

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.137 0.941
S2 0.000 -1.137 0.941
S3 0.000 1.585 -0.941
S4 0.000 -1.585 -0.941

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.27341.93543.3096
S22.27343.30961.9354
S31.93543.30963.1705
S43.30961.93543.1705

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 103.400 S1 S3 S4 76.600
S2 S1 S3 103.400 S2 S4 S3 76.600
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at QCISD(T)/6-31G*
 hartrees
Energy at 0K-1590.558960
Energy at 298.15K 
HF Energy-1589.916906
Nuclear repulsion energy323.558633
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 QCISD(T)/6-31G*
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 703 674        
2 Ag 230 220        
3 Au 204 196        
4 B1u 634 608        
5 B2u 85i 82i        
6 B3g 295 283        

Unscaled Zero Point Vibrational Energy (zpe) 990.1 cm-1
Scaled (by 0.9593) Zero Point Vibrational Energy (zpe) 949.8 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 QCISD(T)/6-31G*
ABC
0.14262 0.07286 0.04822

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.961 1.345
S2 0.000 0.961 -1.345
S3 0.000 -0.961 1.345
S4 0.000 -0.961 -1.345

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.69011.92283.3066
S22.69013.30661.9228
S31.92283.30662.6901
S43.30661.92282.6901

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