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

using model chemistry: MP2/cc-pV(T+d)Z

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no D2D 1A1
1 2 no C2V 1A1
1 3 yes D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at MP2/cc-pV(T+d)Z
 hartrees
Energy at 0K-1590.835272
Energy at 298.15K 
HF Energy-1590.156012
Nuclear repulsion energy353.029499
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 MP2/cc-pV(T+d)Z
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 539 513 0.00      
2 A1 214 204 0.00      
3 B1 481 458 0.00      
4 B2 304 289 0.00      
5 E 451 429 0.01      
5 E 451 429 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 1219.4 cm-1
Scaled (by 0.9525) Zero Point Vibrational Energy (zpe) 1161.5 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 MP2/cc-pV(T+d)Z
ABC
0.11898 0.11898 0.06568

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/cc-pV(T+d)Z

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.417 0.323
S2 0.000 -1.417 0.323
S3 -1.417 0.000 -0.323
S4 1.417 0.000 -0.323

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.83342.10512.1051
S22.83342.10512.1051
S32.10512.10512.8334
S42.10512.10512.8334

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 47.703 S1 S3 S4 47.703
S2 S1 S3 47.703 S2 S4 S3 47.703
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP2/cc-pV(T+d)Z
 hartrees
Energy at 0K-1590.903316
Energy at 298.15K 
HF Energy-1590.089613
Nuclear repulsion energy329.749355
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 MP2/cc-pV(T+d)Z
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 665 633 0.00      
2 A1 436 415 0.18      
3 A1 233 222 0.00      
4 A2 233 222 0.00      
5 B2 19064 18159 0.00      
6 B2 315 300 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 10472.8 cm-1
Scaled (by 0.9525) Zero Point Vibrational Energy (zpe) 9975.4 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 MP2/cc-pV(T+d)Z
ABC
0.14291 0.07866 0.05074

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/cc-pV(T+d)Z

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.295 0.960
S2 0.000 -1.295 0.960
S3 0.000 1.294 -0.960
S4 0.000 -1.294 -0.960

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58901.92083.2237
S22.58903.22371.9208
S31.92083.22372.5890
S43.22371.92082.5890

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 89.999 S1 S3 S4 90.001
S2 S1 S3 89.999 S2 S4 S3 90.001
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2/cc-pV(T+d)Z
 hartrees
Energy at 0K-1590.903316
Energy at 298.15K 
HF Energy-1590.089643
Nuclear repulsion energy329.759127
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 MP2/cc-pV(T+d)Z
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 665 634 0.00      
2 Ag 233 222 0.00      
3 Au 233 222 0.00      
4 B1u 20031 19080 0.00      
5 B2u 435 415 0.18      
6 B3g 315 300 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 10956.2 cm-1
Scaled (by 0.9525) Zero Point Vibrational Energy (zpe) 10435.7 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 MP2/cc-pV(T+d)Z
ABC
0.14294 0.07865 0.05074

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/cc-pV(T+d)Z

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.960 1.295
S2 0.000 0.960 -1.295
S3 0.000 -0.960 1.295
S4 0.000 -0.960 -1.295

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58921.92063.2237
S22.58923.22371.9206
S31.92063.22372.5892
S43.22371.92062.5892

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