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

using model chemistry: CCSD/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 CCSD/6-31G*
 hartrees
Energy at 0K-1590.502594
Energy at 298.15K 
HF Energy-1589.976445
Nuclear repulsion energy347.496240
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 CCSD/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 503 475 0.00      
2 A1 201 190 0.00      
3 B1 454 429 0.00      
4 B2 333 314 0.39      
5 E 432 408 0.01      
5 E 432 408 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 1177.4 cm-1
Scaled (by 0.9443) Zero Point Vibrational Energy (zpe) 1111.8 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 CCSD/6-31G*
ABC
0.11564 0.11564 0.06310

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.445 0.309
S2 0.000 -1.445 0.309
S3 -1.445 0.000 -0.309
S4 1.445 0.000 -0.309

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89072.13532.1353
S22.89072.13532.1353
S32.13532.13532.8907
S42.13532.13532.8907

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 47.400 S1 S3 S4 47.400
S2 S1 S3 47.400 S2 S4 S3 47.400
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at CCSD/6-31G*
 hartrees
Energy at 0K-1590.517855
Energy at 298.15K 
HF Energy-1589.951181
Nuclear repulsion energy329.170000
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 CCSD/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 674 636 0.91      
2 A1 385 364 8.11      
3 A1 129 122 0.47      
4 A2 203 192        
5 B2 660 624 107.88      
6 B2 331 313 0.20      

Unscaled Zero Point Vibrational Energy (zpe) 1191.4 cm-1
Scaled (by 0.9443) Zero Point Vibrational Energy (zpe) 1125.0 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 CCSD/6-31G*
ABC
0.15523 0.06987 0.04818

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.059 0.922
S2 0.000 -1.059 0.922
S3 0.000 1.629 -0.922
S4 0.000 -1.629 -0.922

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.11711.92923.2585
S22.11713.25851.9292
S31.92923.25853.2573
S43.25851.92923.2573

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 107.188 S1 S3 S4 72.812
S2 S1 S3 107.188 S2 S4 S3 72.812
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at CCSD/6-31G*
 hartrees
Energy at 0K-1590.510932
Energy at 298.15K 
HF Energy-1589.922764
Nuclear repulsion energy330.420112
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 CCSD/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 742 701 0.00      
2 Ag 274 258 0.00      
3 Au 236 223 0.00      
4 B1u 952i 899i 73240.39      
5 B2u 141i 134i 17.70      
6 B3g 324 306 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 241.0 cm-1
Scaled (by 0.9443) Zero Point Vibrational Energy (zpe) 227.6 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 CCSD/6-31G*
ABC
0.14535 0.07789 0.05072

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.952 1.301
S2 0.000 0.952 -1.301
S3 0.000 -0.952 1.301
S4 0.000 -0.952 -1.301

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.60171.90463.2244
S22.60173.22441.9046
S31.90463.22442.6017
S43.22441.90462.6017

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