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

using model chemistry: QCISD/3-21G*

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/3-21G*
 hartrees
Energy at 0K-1583.136744
Energy at 298.15K 
HF Energy-1582.599706
Nuclear repulsion energy347.125578
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/3-21G*
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 477 459 0.00      
2 A1 198 191 0.00      
3 B1 420 404 0.00      
4 B2 335 322 0.49      
5 E 394 379 0.00      
5 E 394 379 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1109.5 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 1066.3 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 QCISD/3-21G*
ABC
0.11535 0.11535 0.06302

See section I.F.4 to change rotational constant units
Geometric Data calculated at QCISD/3-21G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.446 0.311
S2 0.000 -1.446 0.311
S3 -1.446 0.000 -0.311
S4 1.446 0.000 -0.311

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89252.13802.1380
S22.89252.13802.1380
S32.13802.13802.8925
S42.13802.13802.8925

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 47.433 S1 S3 S4 47.433
S2 S1 S3 47.433 S2 S4 S3 47.433
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at QCISD/3-21G*
 hartrees
Energy at 0K-1583.159879
Energy at 298.15K 
HF Energy-1582.579020
Nuclear repulsion energy331.378201
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/3-21G*
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 687 660 0.48      
2 A1 334 321 8.25      
3 A1 131 125 1.47      
4 A2 213 205 0.00      
5 B2 629 604 294.13      
6 B2 338 325 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 1165.4 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 1120.1 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 QCISD/3-21G*
ABC
0.15499 0.07213 0.04922

See section I.F.4 to change rotational constant units
Geometric Data calculated at QCISD/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.070 0.922
S2 0.000 -1.070 0.922
S3 0.000 1.584 -0.922
S4 0.000 -1.584 -0.922

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.14041.91473.2322
S22.14043.23221.9147
S31.91473.23223.1683
S43.23221.91473.1683

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 105.570 S1 S3 S4 74.430
S2 S1 S3 105.570 S2 S4 S3 74.430
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at QCISD/3-21G*
 hartrees
Energy at 0K-1583.155155
Energy at 298.15K 
HF Energy-1582.556913
Nuclear repulsion energy330.865928
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/3-21G*
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 754 724 0.00      
2 Ag 284 273 0.00      
3 Au 239 229 0.00      
4 B1u 5156i 4956i 15.10      
5 B2u 141i 135i 0.00      
6 B3g 331 318 0.00      

Unscaled Zero Point Vibrational Energy (zpe) -1845.1 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) -1773.3 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 QCISD/3-21G*
ABC
0.14728 0.07722 0.05066

See section I.F.4 to change rotational constant units
Geometric Data calculated at QCISD/3-21G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.946 1.307
S2 0.000 0.946 -1.307
S3 0.000 -0.946 1.307
S4 0.000 -0.946 -1.307

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.61301.89213.2261
S22.61303.22611.8921
S31.89213.22612.6130
S43.22611.89212.6130

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