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

using model chemistry: QCISD/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 QCISD/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.846256
Energy at 298.15K 
HF Energy-1590.128179
Nuclear repulsion energy351.249792
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/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 530 505 0.00      
2 A1 208 199 0.00      
3 B1 477 455 0.00      
4 B2 320 305 0.00      
5 E 451 430 0.05      
5 E 451 430 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 1218.2 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 1161.8 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/6-311+G(3df,2p)
ABC
0.11802 0.11802 0.06465

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.428 0.312
S2 0.000 -1.428 0.312
S3 -1.428 0.000 -0.312
S4 1.428 0.000 -0.312

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.85572.11362.1136
S22.85572.11362.1136
S32.11362.11362.8557
S42.11362.11362.8557

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 47.503 S1 S3 S4 47.503
S2 S1 S3 47.503 S2 S4 S3 47.503
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at QCISD/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.858655
Energy at 298.15K 
HF Energy-1590.107415
Nuclear repulsion energy333.830473
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/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 692 660 7.53      
2 A1 439 419 4.58      
3 A1 129 123 0.13      
4 A2 214 204 0.00      
5 B2 624 595 266.45      
6 B2 340 324 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 1219.2 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 1162.8 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/6-311+G(3df,2p)
ABC
0.15993 0.07152 0.04942

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.029 0.908
S2 0.000 -1.029 0.908
S3 0.000 1.621 -0.908
S4 0.000 -1.621 -0.908

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.05781.90983.2123
S22.05783.21231.9098
S31.90983.21233.2420
S43.21231.90983.2420

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 108.060 S1 S3 S4 71.940
S2 S1 S3 108.060 S2 S4 S3 71.940
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at QCISD/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.845252
Energy at 298.15K 
HF Energy-1590.070667
Nuclear repulsion energy337.856391
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/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 758 723 0.00      
2 Ag 304 290 0.00      
3 Au 252 241 0.00      
4 B1u 503 480 1754.25      
5 B2u 247i 236i 19.72      
6 B3g 346 330 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 957.7 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 913.3 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/6-311+G(3df,2p)
ABC
0.14852 0.08347 0.05344

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.942 1.257
S2 0.000 0.942 -1.257
S3 0.000 -0.942 1.257
S4 0.000 -0.942 -1.257

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.51331.88413.1411
S22.51333.14111.8841
S31.88413.14112.5133
S43.14111.88412.5133

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