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

using model chemistry: MP3=FULL/6-31G*

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/6-31G*
 hartrees
Energy at 0K-1590.536780
Energy at 298.15K 
HF Energy-1589.976560
Nuclear repulsion energy347.670808
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/6-31G*
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 504 473 0.00      
2 A1 201 188 0.00      
3 B1 461 433 0.00      
4 B2 333 313 0.35      
5 E 434 407 0.03      
5 E 434 407 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 1183.3 cm-1
Scaled (by 0.9383) Zero Point Vibrational Energy (zpe) 1110.3 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/6-31G*
ABC
0.11577 0.11577 0.06313

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/6-31G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.445 0.308
S2 0.000 -1.445 0.308
S3 -1.445 0.000 -0.308
S4 1.445 0.000 -0.308

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.88992.13412.1341
S22.88992.13412.1341
S32.13412.13412.8899
S42.13412.13412.8899

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 47.383 S1 S3 S4 47.383
S2 S1 S3 47.383 S2 S4 S3 47.383
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP3=FULL/6-31G*
 hartrees
Energy at 0K-1590.557465
Energy at 298.15K 
HF Energy-1589.950127
Nuclear repulsion energy328.665173
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/6-31G*
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 674 632 0.13      
2 A1 368 346 6.78      
3 A1 138 130 0.22      
4 A2 197 185 0.00      
5 B2 782 734 230.83      
6 B2 332 311 1.32      

Unscaled Zero Point Vibrational Energy (zpe) 1245.5 cm-1
Scaled (by 0.9383) Zero Point Vibrational Energy (zpe) 1168.6 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 MP3=FULL/6-31G*
ABC
0.15530 0.06952 0.04802

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.068 0.921
S2 0.000 -1.068 0.921
S3 0.000 1.629 -0.921
S4 0.000 -1.629 -0.921

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.13521.92613.2657
S22.13523.26571.9261
S31.92613.26573.2573
S43.26571.92613.2573

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 106.934 S1 S3 S4 73.066
S2 S1 S3 106.934 S2 S4 S3 73.066
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3=FULL/6-31G*
 hartrees
Energy at 0K-1590.551669
Energy at 298.15K 
HF Energy-1589.922911
Nuclear repulsion energy330.173166
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/6-31G*
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 778 730 0.00      
2 Ag 280 263 0.00      
3 Au 230 216 0.00      
4 B1u 3036 2849 2781796.00      
5 B2u 90i 84i 14.74      
6 B3g 328 308 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2281.4 cm-1
Scaled (by 0.9383) Zero Point Vibrational Energy (zpe) 2140.7 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 MP3=FULL/6-31G*
ABC
0.14660 0.07693 0.05046

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/6-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.948 1.309
S2 0.000 0.948 -1.309
S3 0.000 -0.948 1.309
S4 0.000 -0.948 -1.309

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.61791.89653.2326
S22.61793.23261.8965
S31.89653.23262.6179
S43.23261.89652.6179

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