return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: MP3=FULL/6-311G**

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/6-311G**
 hartrees
Energy at 0K-1591.081054
Energy at 298.15K 
HF Energy-1590.070194
Nuclear repulsion energy346.830838
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/6-311G**
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 501 501 0.00      
2 A1 198 198 0.00      
3 B1 455 455 0.00      
4 B2 319 319 0.08      
5 E 430 430 0.02      
5 E 430 430 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 1165.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1165.7 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/6-311G**
ABC
0.11509 0.11509 0.06301

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/6-311G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.446 0.315
S2 0.000 -1.446 0.315
S3 -1.446 0.000 -0.315
S4 1.446 0.000 -0.315

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89272.14042.1404
S22.89272.14042.1404
S32.14042.14042.8927
S42.14042.14042.8927

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 47.489 S1 S3 S4 47.489
S2 S1 S3 47.489 S2 S4 S3 47.489
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP3=FULL/6-311G**
 hartrees
Energy at 0K-1591.095425
Energy at 298.15K 
HF Energy-1590.035882
Nuclear repulsion energy327.790488
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/6-311G**
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 648 648 0.17      
2 A1 365 365 7.33      
3 A1 132 132 0.17      
4 A2 195 195 0.00      
5 B2 766 766 297.86      
6 B2 330 330 1.81      

Unscaled Zero Point Vibrational Energy (zpe) 1217.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1217.7 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/6-311G**
ABC
0.15539 0.06877 0.04767

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.072 0.921
S2 0.000 -1.072 0.921
S3 0.000 1.638 -0.921
S4 0.000 -1.638 -0.921

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.14401.92723.2771
S22.14403.27711.9272
S31.92723.27713.2768
S43.27711.92723.2768

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 107.092 S1 S3 S4 72.908
S2 S1 S3 107.092 S2 S4 S3 72.908
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3=FULL/6-311G**
 hartrees
Energy at 0K-1591.089190
Energy at 298.15K 
HF Energy-1590.009274
Nuclear repulsion energy331.739140
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/6-311G**
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 761 761 0.00      
2 Ag 288 288 0.00      
3 Au 234 234 0.00      
4 B1u 5199 5199 0.00      
5 B2u 100i 100i 21.65      
6 B3g 332 332 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 3357.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3357.4 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/6-311G**
ABC
0.14708 0.07819 0.05105

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/6-311G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.947 1.298
S2 0.000 0.947 -1.298
S3 0.000 -0.947 1.298
S4 0.000 -0.947 -1.298

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.59681.89343.2138
S22.59683.21381.8934
S31.89343.21382.5968
S43.21381.89342.5968

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