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

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
1 2 no C2V 1A1
1 3 no D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at CID/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.708721
Energy at 298.15K 
HF Energy-1590.128839
Nuclear repulsion energy354.481385
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 CID/6-311+G(3df,2p)
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 564 521 0.00      
2 A1 213 197 0.00      
3 B1 522 482 0.00      
4 B2 340 314 0.00      
5 E 494 456 0.20      
5 E 494 456 0.20      

Unscaled Zero Point Vibrational Energy (zpe) 1313.1 cm-1
Scaled (by 0.924) Zero Point Vibrational Energy (zpe) 1213.3 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 CID/6-311+G(3df,2p)
ABC
0.12037 0.12037 0.06561

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.417 0.301
S2 0.000 -1.417 0.301
S3 -1.417 0.000 -0.301
S4 1.417 0.000 -0.301

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.83482.09302.0930
S22.83482.09302.0930
S32.09302.09302.8348
S42.09302.09302.8348

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 47.373 S1 S3 S4 47.373
S2 S1 S3 47.373 S2 S4 S3 47.373
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at CID/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.708208
Energy at 298.15K 
HF Energy-1590.110970
Nuclear repulsion energy336.884329
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 CID/6-311+G(3df,2p)
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 728 673 14.63      
2 A1 522 483 2.16      
3 A1 135 124 0.00      
4 A2 225 208 0.00      
5 B2 693 641 163.99      
6 B2 360 333 0.79      

Unscaled Zero Point Vibrational Energy (zpe) 1331.7 cm-1
Scaled (by 0.924) Zero Point Vibrational Energy (zpe) 1230.5 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 CID/6-311+G(3df,2p)
ABC
0.16705 0.07074 0.04970

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.998 0.888
S2 0.000 -0.998 0.888
S3 0.000 1.653 -0.888
S4 0.000 -1.653 -0.888

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S11.99521.89353.1907
S21.99523.19071.8935
S31.89353.19073.3053
S43.19071.89353.3053

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 110.239 S1 S3 S4 69.761
S2 S1 S3 110.239 S2 S4 S3 69.761
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at CID/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.688379
Energy at 298.15K 
HF Energy-1590.072308
Nuclear repulsion energy342.580878
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 CID/6-311+G(3df,2p)
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 803 742 0.00      
2 Ag 333 307 0.00      
3 Au 274 253 0.00      
4 B1u 780 720 5.13      
5 B2u 224i 207i 23.71      
6 B3g 370 342 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1167.9 cm-1
Scaled (by 0.924) Zero Point Vibrational Energy (zpe) 1079.1 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 CID/6-311+G(3df,2p)
ABC
0.15166 0.08645 0.05507

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.932 1.235
S2 0.000 0.932 -1.235
S3 0.000 -0.932 1.235
S4 0.000 -0.932 -1.235

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.46961.86453.0944
S22.46963.09441.8645
S31.86453.09442.4696
S43.09441.86452.4696

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