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

using model chemistry: MP4=FULL/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-1590.668966
Energy at 298.15K 
HF Energy-1590.068793
Nuclear repulsion energy342.555844
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/cc-pVDZ
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 488 471        
2 A1 192 185        
3 B1 431 416        
4 B2 306 295        
5 E 404 390        
5 E 404 390        

Unscaled Zero Point Vibrational Energy (zpe) 1112.4 cm-1
Scaled (by 0.9651) Zero Point Vibrational Energy (zpe) 1073.6 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 MP4=FULL/cc-pVDZ
ABC
0.11221 0.11221 0.06157

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4=FULL/cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.463 0.323
S2 0.000 -1.463 0.323
S3 -1.463 0.000 -0.323
S4 1.463 0.000 -0.323

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.92632.16772.1677
S22.92632.16772.1677
S32.16772.16772.9263
S42.16772.16772.9263

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 47.548 S1 S3 S4 47.548
S2 S1 S3 47.548 S2 S4 S3 47.548
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP4=FULL/cc-pVDZ
 hartrees
Energy at 0K-1590.725121
Energy at 298.15K 
HF Energy-1589.997551
Nuclear repulsion energy316.934134
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/cc-pVDZ
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 588 568 0.00      
2 A1 197 190 0.00      
3 A1 146 141 0.00      
4 A2 194 187 0.00      
5 B2 618 597 0.00      
6 B2 270 261 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1006.6 cm-1
Scaled (by 0.9651) Zero Point Vibrational Energy (zpe) 971.5 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/cc-pVDZ
ABC
0.13590 0.07044 0.04639

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4=FULL/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.368 0.985
S2 0.000 -1.368 0.985
S3 0.000 1.368 -0.985
S4 0.000 -1.368 -0.985

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.73601.96973.3712
S22.73603.37121.9697
S31.96973.37122.7360
S43.37121.96972.7360

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 89.999 S1 S3 S4 90.001
S2 S1 S3 89.999 S2 S4 S3 90.001
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP4=FULL/cc-pVDZ
 hartrees
Energy at 0K-1590.725121
Energy at 298.15K 
HF Energy-1589.997666
Nuclear repulsion energy317.017501
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/cc-pVDZ
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 589 568        
2 Ag 198 191        
3 Au 194 187        
4 B1u 620 598        
5 B2u 147 141        
6 B3g 270 261        

Unscaled Zero Point Vibrational Energy (zpe) 1008.3 cm-1
Scaled (by 0.9651) Zero Point Vibrational Energy (zpe) 973.1 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/cc-pVDZ
ABC
0.13593 0.07049 0.04642

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP4=FULL/cc-pVDZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.985 1.367
S2 0.000 0.985 -1.367
S3 0.000 -0.985 1.367
S4 0.000 -0.985 -1.367

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.73491.96953.3703
S22.73493.37031.9695
S31.96953.37032.7349
S43.37031.96952.7349

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