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

using model chemistry: MP3=FULL/cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-1591.010434
Energy at 298.15K 
HF Energy-1590.148137
Nuclear repulsion energy350.190344
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-pVTZ
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 534 498 0.00      
2 A1 201 187 0.00      
3 B1 490 457 0.00      
4 B2 317 295 0.00      
5 E 461 430 0.02      
5 E 461 430 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 1231.4 cm-1
Scaled (by 0.9326) Zero Point Vibrational Energy (zpe) 1148.4 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-pVTZ
ABC
0.11739 0.11739 0.06415

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.433 0.309
S2 0.000 -1.433 0.309
S3 -1.433 0.000 -0.309
S4 1.433 0.000 -0.309

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.86682.11932.1193
S22.86682.11932.1193
S32.11932.11932.8668
S42.11932.11932.8668

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 MP3=FULL/cc-pVTZ
 hartrees
Energy at 0K-1591.020317
Energy at 298.15K 
HF Energy-1590.121568
Nuclear repulsion energy332.514066
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-pVTZ
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 692 646 3.26      
2 A1 421 393 6.21      
3 A1 141 131 0.16      
4 A2 208 194 0.00      
5 B2 756 705 19.33      
6 B2 341 318 2.25      

Unscaled Zero Point Vibrational Energy (zpe) 1279.7 cm-1
Scaled (by 0.9326) Zero Point Vibrational Energy (zpe) 1193.5 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-pVTZ
ABC
0.15734 0.07172 0.04926

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.045 0.915
S2 0.000 -1.045 0.915
S3 0.000 1.608 -0.915
S4 0.000 -1.608 -0.915

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.08901.91533.2227
S22.08903.22271.9153
S31.91533.22273.2155
S43.22271.91533.2155

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 107.102 S1 S3 S4 72.898
S2 S1 S3 107.102 S2 S4 S3 72.898
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3=FULL/cc-pVTZ
 hartrees
Energy at 0K-1591.008882
Energy at 298.15K 
HF Energy-1590.087907
Nuclear repulsion energy336.489387
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-pVTZ
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 790 737 0.00      
2 Ag 304 283 0.00      
3 Au 248 231 0.00      
4 B1u 1082 1009 7945.44      
5 B2u 199i 186i 19.72      
6 B3g 347 324 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1286.2 cm-1
Scaled (by 0.9326) Zero Point Vibrational Energy (zpe) 1199.5 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-pVTZ
ABC
0.14846 0.08212 0.05287

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.942 1.267
S2 0.000 0.942 -1.267
S3 0.000 -0.942 1.267
S4 0.000 -0.942 -1.267

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.53391.88463.1579
S22.53393.15791.8846
S31.88463.15792.5339
S43.15791.88462.5339

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