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

using model chemistry: CCSD(T)/6-311+G(3df,2p)

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(T)/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.887856
Energy at 298.15K 
HF Energy-1590.127480
Nuclear repulsion energy349.836796
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(T)/6-311+G(3df,2p)
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 513 506        
2 A1 208 205        
3 B1 454 448        
4 B2 308 304        
5 E 427 422        
5 E 427 422        

Unscaled Zero Point Vibrational Energy (zpe) 1168.8 cm-1
Scaled (by 0.9869) Zero Point Vibrational Energy (zpe) 1153.5 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(T)/6-311+G(3df,2p)
ABC
0.11697 0.11697 0.06429

See section I.F.4 to change rotational constant units
Geometric Data calculated at CCSD(T)/6-311+G(3df,2p)

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.432 0.319
S2 0.000 -1.432 0.319
S3 -1.432 0.000 -0.319
S4 1.432 0.000 -0.319

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.86392.12312.1231
S22.86392.12312.1231
S32.12312.12312.8639
S42.12312.12312.8639

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 47.589 S1 S3 S4 47.589
S2 S1 S3 47.589 S2 S4 S3 47.589
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at CCSD(T)/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.915165
Energy at 298.15K 
HF Energy-1590.099285
Nuclear repulsion energy331.397941
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(T)/6-311+G(3df,2p)
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 683 675        
2 A1 329 325        
3 A1 116 115        
4 A2 207 204        
5 B2 643 635        
6 B2 325 321        

Unscaled Zero Point Vibrational Energy (zpe) 1151.9 cm-1
Scaled (by 0.9869) Zero Point Vibrational Energy (zpe) 1136.8 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(T)/6-311+G(3df,2p)
ABC
0.15430 0.07257 0.04936

See section I.F.4 to change rotational constant units
Geometric Data calculated at CCSD(T)/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.077 0.924
S2 0.000 -1.077 0.924
S3 0.000 1.573 -0.924
S4 0.000 -1.573 -0.924

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.15331.91393.2305
S22.15333.23051.9139
S31.91393.23053.1454
S43.23051.91393.1454

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 105.022 S1 S3 S4 74.978
S2 S1 S3 105.022 S2 S4 S3 74.978
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at CCSD(T)/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.911938
Energy at 298.15K 
HF Energy-1590.067081
Nuclear repulsion energy332.603107
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(T)/6-311+G(3df,2p)
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 655 647        
2 Ag 258 254        
3 Au 229 226        
4 B1u 689i 680i        
5 B2u 110i 108i        
6 B3g 172 170        

Unscaled Zero Point Vibrational Energy (zpe) 257.5 cm-1
Scaled (by 0.9869) Zero Point Vibrational Energy (zpe) 254.1 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 CCSD(T)/6-311+G(3df,2p)
ABC
0.14598 0.07967 0.05154

See section I.F.4 to change rotational constant units
Geometric Data calculated at CCSD(T)/6-311+G(3df,2p)

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.950 1.286
S2 0.000 0.950 -1.286
S3 0.000 -0.950 1.286
S4 0.000 -0.950 -1.286

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.57251.90053.1984
S22.57253.19841.9005
S31.90053.19842.5725
S43.19841.90052.5725

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