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

using model chemistry: MP4/aug-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/aug-cc-pVDZ
 hartrees
Energy at 0K-1590.701616
Energy at 298.15K 
HF Energy-1590.081514
Nuclear repulsion energy341.995711
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 MP4/6-31G*
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 486 475        
2 A1 202 198        
3 B1 434 424        
4 B2 320 313        
5 E 408 399        
5 E 408 399        

Unscaled Zero Point Vibrational Energy (zpe) 1129.2 cm-1
Scaled (by 0.9769) Zero Point Vibrational Energy (zpe) 1103.1 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/aug-cc-pVDZ
ABC
0.11156 0.11156 0.06177

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.461 0.338
S2 0.000 -1.461 0.338
S3 -1.461 0.000 -0.338
S4 1.461 0.000 -0.338

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.92172.17402.1740
S22.92172.17402.1740
S32.17402.17402.9217
S42.17402.17402.9217

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 47.781 S1 S3 S4 47.781
S2 S1 S3 47.781 S2 S4 S3 47.781
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP4/aug-cc-pVDZ
 hartrees
Energy at 0K-1590.760147
Energy at 298.15K 
HF Energy-1590.008637
Nuclear repulsion energy316.837807
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 MP4/6-31G*
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 600 586 0.00      
2 A1 169 165 0.00      
3 A1 88 86 0.00      
4 A2 182 178 0.00      
5 B2 582 568 0.00      
6 B2 251 246 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 936.1 cm-1
Scaled (by 0.9769) Zero Point Vibrational Energy (zpe) 914.5 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/aug-cc-pVDZ
ABC
0.13393 0.07147 0.04660

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.358 0.992
S2 0.000 -1.358 0.992
S3 0.000 1.358 -0.992
S4 0.000 -1.358 -0.992

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.71641.98413.3636
S22.71643.36361.9841
S31.98413.36362.7159
S43.36361.98412.7159

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 89.992 S1 S3 S4 90.008
S2 S1 S3 89.992 S2 S4 S3 90.008
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP4/aug-cc-pVDZ
 hartrees
Energy at 0K-1590.760147
Energy at 298.15K 
HF Energy-1590.008611
Nuclear repulsion energy316.824411
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 MP4/6-31G*
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 600 586        
2 Ag 169 165        
3 Au 182 178        
4 B1u 581 568        
5 B2u 89 87        
6 B3g 251 246        

Unscaled Zero Point Vibrational Energy (zpe) 936.2 cm-1
Scaled (by 0.9769) Zero Point Vibrational Energy (zpe) 914.6 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/aug-cc-pVDZ
ABC
0.13391 0.07145 0.04659

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.992 1.358
S2 0.000 0.992 -1.358
S3 0.000 -0.992 1.358
S4 0.000 -0.992 -1.358

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.71651.98433.3641
S22.71653.36411.9843
S31.98433.36412.7165
S43.36411.98432.7165

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