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

using model chemistry: MP4=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 no C2V 1A1
1 3 yes D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at MP4=FULL/6-31G*
 hartrees
Energy at 0K-1590.562425
Energy at 298.15K 
HF Energy-1589.975635
Nuclear repulsion energy346.394240
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 MP4=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 486 467        
2 A1 203 195        
3 B1 433 416        
4 B2 321 309        
5 E 407 391        
5 E 407 391        

Unscaled Zero Point Vibrational Energy (zpe) 1127.8 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 1084.5 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 MP4=FULL/6-31G*
ABC
0.11478 0.11478 0.06288

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4=FULL/6-31G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.448 0.317
S2 0.000 -1.448 0.317
S3 -1.448 0.000 -0.317
S4 1.448 0.000 -0.317

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89562.14332.1433
S22.89562.14332.1433
S32.14332.14332.8956
S42.14332.14332.8956

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 47.507 S1 S3 S4 47.507
S2 S1 S3 47.507 S2 S4 S3 47.507
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP4=FULL/6-31G*
 hartrees
Energy at 0K-1590.621106
Energy at 298.15K 
HF Energy-1589.904886
Nuclear repulsion energy315.104914
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 MP4=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 600 577 0.00      
2 A1 170 163 0.00      
3 A1 90 87 0.00      
4 A2 183 176 0.00      
5 B2 582 560 0.00      
6 B2 252 242 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 938.5 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 902.4 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 MP4=FULL/6-31G*
ABC
0.13823 0.06749 0.04535

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4=FULL/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.397 0.977
S2 0.000 -1.397 0.977
S3 0.000 1.398 -0.977
S4 0.000 -1.398 -0.977

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.79461.95303.4098
S22.79463.40981.9530
S31.95303.40982.7956
S43.40981.95302.7956

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 90.014 S1 S3 S4 89.986
S2 S1 S3 90.014 S2 S4 S3 89.986
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP4=FULL/6-31G*
 hartrees
Energy at 0K-1590.621106
Energy at 298.15K 
HF Energy-1589.904930
Nuclear repulsion energy315.137574
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 MP4=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 600 577        
2 Ag 170 164        
3 Au 183 176        
4 B1u 583 560        
5 B2u 90 87        
6 B3g 252 242        

Unscaled Zero Point Vibrational Energy (zpe) 939.1 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 903.0 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 MP4=FULL/6-31G*
ABC
0.13824 0.06751 0.04536

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4=FULL/6-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.976 1.397
S2 0.000 0.976 -1.397
S3 0.000 -0.976 1.397
S4 0.000 -0.976 -1.397

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.79471.95303.4095
S22.79473.40951.9530
S31.95303.40952.7947
S43.40951.95302.7947

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