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

using model chemistry: QCISD/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-1590.674350
Energy at 298.15K 
HF Energy-1590.082680
Nuclear repulsion energy343.280819
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/aug-cc-pVDZ
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 502 486 0.00      
2 A1 201 194 0.00      
3 B1 438 424 0.00      
4 B2 316 306 0.02      
5 E 419 406 0.00      
5 E 419 406 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1147.1 cm-1
Scaled (by 0.9687) Zero Point Vibrational Energy (zpe) 1111.2 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/aug-cc-pVDZ
ABC
0.11256 0.11256 0.06200

See section I.F.4 to change rotational constant units
Geometric Data calculated at QCISD/aug-cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.458 0.329
S2 0.000 -1.458 0.329
S3 -1.458 0.000 -0.329
S4 1.458 0.000 -0.329

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.91612.16432.1643
S22.91612.16432.1643
S32.16432.16432.9161
S42.16432.16432.9161

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 47.649 S1 S3 S4 47.649
S2 S1 S3 47.649 S2 S4 S3 47.649
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at QCISD/aug-cc-pVDZ
 hartrees
Energy at 0K-1590.687132
Energy at 298.15K 
HF Energy-1590.054606
Nuclear repulsion energy327.813798
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/aug-cc-pVDZ
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 660 640 2.47      
2 A1 376 364 7.30      
3 A1 134 130 1.01      
4 A2 206 199 0.00      
5 B2 580 562 371.65      
6 B2 322 312 0.43      

Unscaled Zero Point Vibrational Energy (zpe) 1138.8 cm-1
Scaled (by 0.9687) Zero Point Vibrational Energy (zpe) 1103.1 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/aug-cc-pVDZ
ABC
0.14904 0.07178 0.04845

See section I.F.4 to change rotational constant units
Geometric Data calculated at QCISD/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.076 0.940
S2 0.000 -1.076 0.940
S3 0.000 1.586 -0.940
S4 0.000 -1.586 -0.940

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.15291.94863.2594
S22.15293.25941.9486
S31.94863.25943.1711
S43.25941.94863.1711

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 105.144 S1 S3 S4 74.856
S2 S1 S3 105.144 S2 S4 S3 74.856
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at QCISD/aug-cc-pVDZ
 hartrees
Energy at 0K-1590.679144
Energy at 298.15K 
HF Energy-1590.026330
Nuclear repulsion energy330.208096
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/aug-cc-pVDZ
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 724 701 0.00      
2 Ag 294 285 0.00      
3 Au 235 228 0.00      
4 B1u 1113i 1078i 86629.30      
5 B2u 218i 211i 18.96      
6 B3g 323 313 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 122.5 cm-1
Scaled (by 0.9687) Zero Point Vibrational Energy (zpe) 118.7 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/aug-cc-pVDZ
ABC
0.14238 0.07943 0.05099

See section I.F.4 to change rotational constant units
Geometric Data calculated at QCISD/aug-cc-pVDZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.962 1.288
S2 0.000 0.962 -1.288
S3 0.000 -0.962 1.288
S4 0.000 -0.962 -1.288

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.57641.92443.2157
S22.57643.21571.9244
S31.92443.21572.5764
S43.21571.92442.5764

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