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

using model chemistry: MP3=FULL/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 yes C2V 1A1
1 3 no D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at MP3=FULL/cc-pV(T+d)Z
 hartrees
Energy at 0K-1591.278606
Energy at 298.15K 
HF Energy-1590.156321
Nuclear repulsion energy352.085211
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 MP3=FULL/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 538 538 0.00      
2 A1 204 204 0.00      
3 B1 494 494 0.00      
4 B2 319 319 0.00      
5 E 464 464 0.04      
5 E 464 464 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 1241.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1241.1 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 MP3=FULL/cc-pV(T+d)Z
ABC
0.11866 0.11866 0.06486

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/cc-pV(T+d)Z

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.426 0.308
S2 0.000 -1.426 0.308
S3 -1.426 0.000 -0.308
S4 1.426 0.000 -0.308

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.85132.10802.1080
S22.85132.10802.1080
S32.10802.10802.8513
S42.10802.10802.8513

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 47.444 S1 S3 S4 47.444
S2 S1 S3 47.444 S2 S4 S3 47.444
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP3=FULL/cc-pV(T+d)Z
 hartrees
Energy at 0K-1591.290618
Energy at 298.15K 
HF Energy-1590.133147
Nuclear repulsion energy334.194101
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 MP3=FULL/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 701 701 4.55      
2 A1 431 431 5.52      
3 A1 139 139 0.10      
4 A2 212 212 0.00      
5 B2 752 752 3.85      
6 B2 346 346 2.14      

Unscaled Zero Point Vibrational Energy (zpe) 1290.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1290.4 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 MP3=FULL/cc-pV(T+d)Z
ABC
0.16015 0.07184 0.04959

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/cc-pV(T+d)Z

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.035 0.907
S2 0.000 -1.035 0.907
S3 0.000 1.612 -0.907
S4 0.000 -1.612 -0.907

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.06921.90423.2091
S22.06923.20911.9042
S31.90423.20913.2245
S43.20911.90423.2245

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 107.659 S1 S3 S4 72.341
S2 S1 S3 107.659 S2 S4 S3 72.341
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3=FULL/cc-pV(T+d)Z
 hartrees
Energy at 0K-1591.278164
Energy at 298.15K 
HF Energy-1590.097509
Nuclear repulsion energy338.168747
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 MP3=FULL/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 795 795 0.00      
2 Ag 303 303 0.00      
3 Au 252 252 0.00      
4 B1u 1008 1008 3777.12      
5 B2u 206i 206i 19.64      
6 B3g 352 352 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1251.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1251.5 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 MP3=FULL/cc-pV(T+d)Z
ABC
0.15000 0.08290 0.05339

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/cc-pV(T+d)Z

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.937 1.261
S2 0.000 0.937 -1.261
S3 0.000 -0.937 1.261
S4 0.000 -0.937 -1.261

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.52191.87483.1424
S22.52193.14241.8748
S31.87483.14242.5219
S43.14241.87482.5219

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