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

using model chemistry: QCISD(T)/TZVP

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(T)/TZVP
 hartrees
Energy at 0K-1590.668490
Energy at 298.15K 
HF Energy-1590.081158
Nuclear repulsion energy344.296176
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(T)/TZVP
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 491 473        
2 A1 195 188        
3 B1 432 416        
4 B2 304 293        
5 E 413 397        
5 E 413 397        

Unscaled Zero Point Vibrational Energy (zpe) 1124.0 cm-1
Scaled (by 0.9632) Zero Point Vibrational Energy (zpe) 1082.6 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(T)/TZVP
ABC
0.11332 0.11332 0.06223

See section I.F.4 to change rotational constant units
Geometric Data calculated at QCISD(T)/TZVP

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.455 0.323
S2 0.000 -1.455 0.323
S3 -1.455 0.000 -0.323
S4 1.455 0.000 -0.323

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.91072.15702.1570
S22.91072.15702.1570
S32.15702.15702.9107
S42.15702.15702.9107

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 47.568 S1 S3 S4 47.568
S2 S1 S3 47.568 S2 S4 S3 47.568
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at QCISD(T)/TZVP
 hartrees
Energy at 0K-1590.695940
Energy at 298.15K 
HF Energy-1590.036934
Nuclear repulsion energy324.167829
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(T)/TZVP
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 654 630        
2 A1 282 272        
3 A1 102 98        
4 A2 187 180        
5 B2 587 565        
6 B2 305 294        

Unscaled Zero Point Vibrational Energy (zpe) 1057.7 cm-1
Scaled (by 0.9632) Zero Point Vibrational Energy (zpe) 1018.8 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(T)/TZVP
ABC
0.14681 0.07023 0.04750

See section I.F.4 to change rotational constant units
Geometric Data calculated at QCISD(T)/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.135 0.948
S2 0.000 -1.135 0.948
S3 0.000 1.570 -0.948
S4 0.000 -1.570 -0.948

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.27001.94453.3030
S22.27003.30301.9445
S31.94453.30303.1405
S43.30301.94453.1405

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 102.934 S1 S3 S4 77.066
S2 S1 S3 102.934 S2 S4 S3 77.066
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at QCISD(T)/TZVP
 hartrees
Energy at 0K-1590.693861
Energy at 298.15K 
HF Energy-1590.015491
Nuclear repulsion energy325.920527
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(T)/TZVP
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 697 672        
2 Ag 249 240        
3 Au 214 206        
4 B1u 237 228        
5 B2u 114i 110i        
6 B3g 297 286        

Unscaled Zero Point Vibrational Energy (zpe) 789.8 cm-1
Scaled (by 0.9632) Zero Point Vibrational Energy (zpe) 760.8 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(T)/TZVP
ABC
0.14141 0.07580 0.04935

See section I.F.4 to change rotational constant units
Geometric Data calculated at QCISD(T)/TZVP

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.965 1.319
S2 0.000 0.965 -1.319
S3 0.000 -0.965 1.319
S4 0.000 -0.965 -1.319

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.63741.93103.2688
S22.63743.26881.9310
S31.93103.26882.6374
S43.26881.93102.6374

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