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

using model chemistry: QCISD/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/cc-pVDZ
 hartrees
Energy at 0K-1590.624757
Energy at 298.15K 
HF Energy-1590.069510
Nuclear repulsion energy343.410487
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/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 501 481 0.00      
2 A1 190 183 0.00      
3 B1 446 428 0.00      
4 B2 317 305 0.07      
5 E 424 407 0.02      
5 E 424 407 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 1151.5 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 1104.8 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/cc-pVDZ
ABC
0.11289 0.11289 0.06169

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.462 0.315
S2 0.000 -1.462 0.315
S3 -1.462 0.000 -0.315
S4 1.462 0.000 -0.315

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.92342.16122.1612
S22.92342.16122.1612
S32.16122.16122.9234
S42.16122.16122.9234

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 47.441 S1 S3 S4 47.441
S2 S1 S3 47.441 S2 S4 S3 47.441
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at QCISD/cc-pVDZ
 hartrees
Energy at 0K-1590.637081
Energy at 298.15K 
HF Energy-1590.038180
Nuclear repulsion energy328.043216
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/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 670 643 0.87      
2 A1 364 349 9.58      
3 A1 133 128 1.44      
4 A2 207 199 0.00      
5 B2 602 577 334.17      
6 B2 327 314 0.55      

Unscaled Zero Point Vibrational Energy (zpe) 1151.6 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 1104.8 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/cc-pVDZ
ABC
0.14936 0.07194 0.04855

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.084 0.939
S2 0.000 -1.084 0.939
S3 0.000 1.578 -0.939
S4 0.000 -1.578 -0.939

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.16711.94293.2580
S22.16713.25801.9429
S31.94293.25803.1563
S43.25801.94293.1563

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 104.747 S1 S3 S4 75.253
S2 S1 S3 104.747 S2 S4 S3 75.253
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at QCISD/cc-pVDZ
 hartrees
Energy at 0K-1590.630270
Energy at 298.15K 
HF Energy-1590.013440
Nuclear repulsion energy330.131403
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/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 735 705 0.00      
2 Ag 290 278 0.00      
3 Au 239 229 0.00      
4 B1u 1240i 1189i 126784.80      
5 B2u 199i 191i 18.23      
6 B3g 330 317 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 77.6 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 74.4 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/cc-pVDZ
ABC
0.14318 0.07888 0.05086

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.960 1.293
S2 0.000 0.960 -1.293
S3 0.000 -0.960 1.293
S4 0.000 -0.960 -1.293

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58541.91903.2198
S22.58543.21981.9190
S31.91903.21982.5854
S43.21981.91902.5854

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