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: MP3/6-311+G(3df,2p)

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 MP3/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.845283
Energy at 298.15K 
HF Energy-1590.128145
Nuclear repulsion energy350.923012
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 MP3/6-311+G(3df,2p)
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 527 527 0.00      
2 A1 207 207 0.00      
3 B1 482 482 0.00      
4 B2 320 320 0.00      
5 E 452 452 0.09      
5 E 452 452 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 1219.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1219.6 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 MP3/6-311+G(3df,2p)
ABC
0.11785 0.11785 0.06446

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/6-311+G(3df,2p)

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.430 0.310
S2 0.000 -1.430 0.310
S3 -1.430 0.000 -0.310
S4 1.430 0.000 -0.310

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.86002.11512.1151
S22.86002.11512.1151
S32.11512.11512.8600
S42.11512.11512.8600

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 47.463 S1 S3 S4 47.463
S2 S1 S3 47.463 S2 S4 S3 47.463
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP3/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.861137
Energy at 298.15K 
HF Energy-1590.106606
Nuclear repulsion energy333.094425
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 MP3/6-311+G(3df,2p)
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 695 695 5.47      
2 A1 421 421 4.30      
3 A1 138 138 0.04      
4 A2 207 207 0.00      
5 B2 749 749 6.72      
6 B2 341 341 1.86      

Unscaled Zero Point Vibrational Energy (zpe) 1275.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1275.5 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 MP3/6-311+G(3df,2p)
ABC
0.16035 0.07081 0.04912

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.037 0.907
S2 0.000 -1.037 0.907
S3 0.000 1.627 -0.907
S4 0.000 -1.627 -0.907

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.07451.90683.2228
S22.07453.22281.9068
S31.90683.22283.2539
S43.22281.90683.2539

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 108.014 S1 S3 S4 71.986
S2 S1 S3 108.014 S2 S4 S3 71.986
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3/6-311+G(3df,2p)
 hartrees
Energy at 0K-1590.848444
Energy at 298.15K 
HF Energy-1590.070348
Nuclear repulsion energy336.413578
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 MP3/6-311+G(3df,2p)
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 789 789 0.00      
2 Ag 295 295 0.00      
3 Au 243 243 0.00      
4 B1u 1273 1273 25031.11      
5 B2u 202i 202i 16.39      
6 B3g 344 344 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1370.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1370.8 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 MP3/6-311+G(3df,2p)
ABC
0.14959 0.08138 0.05270

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/6-311+G(3df,2p)

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.939 1.273
S2 0.000 0.939 -1.273
S3 0.000 -0.939 1.273
S4 0.000 -0.939 -1.273

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.54551.87743.1629
S22.54553.16291.8774
S31.87743.16292.5455
S43.16291.87742.5455

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