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

using model chemistry: MP4=FULL/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=FULL/aug-cc-pVDZ
 hartrees
Energy at 0K-1590.731287
Energy at 298.15K 
HF Energy-1590.081544
Nuclear repulsion energy342.204426
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/aug-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 487 475        
2 A1 202 197        
3 B1 419 409        
4 B2 302 294        
5 E 397 387        
5 E 397 387        

Unscaled Zero Point Vibrational Energy (zpe) 1102.0 cm-1
Scaled (by 0.9752) Zero Point Vibrational Energy (zpe) 1074.6 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/aug-cc-pVDZ
ABC
0.11165 0.11165 0.06191

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.459 0.341
S2 0.000 -1.459 0.341
S3 -1.459 0.000 -0.341
S4 1.459 0.000 -0.341

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.91832.17312.1731
S22.91832.17312.1731
S32.17312.17312.9183
S42.17312.17312.9183

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 47.821 S1 S3 S4 47.821
S2 S1 S3 47.821 S2 S4 S3 47.821
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP4=FULL/aug-cc-pVDZ
 hartrees
Energy at 0K-1590.789673
Energy at 298.15K 
HF Energy-1590.009466
Nuclear repulsion energy317.397618
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/aug-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 560 546 0.00      
2 A1 217 212 0.00      
3 A1 209 204 0.00      
4 A2 197 192 0.00      
5 B2 639 623 0.00      
6 B2 268 262 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1045.3 cm-1
Scaled (by 0.9752) Zero Point Vibrational Energy (zpe) 1019.4 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/aug-cc-pVDZ
ABC
0.13408 0.07191 0.04681

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.354 0.992
S2 0.000 -1.354 0.992
S3 0.000 1.354 -0.992
S4 0.000 -1.354 -0.992

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.70821.98303.3563
S22.70823.35631.9830
S31.98303.35632.7073
S43.35631.98302.7073

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

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP4=FULL/aug-cc-pVDZ
 hartrees
Energy at 0K-1590.789673
Energy at 298.15K 
HF Energy-1590.009473
Nuclear repulsion energy317.404914
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/aug-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 560 547        
2 Ag 209 204        
3 Au 197 192        
4 B1u 639 623        
5 B2u 217 212        
6 B3g 269 262        

Unscaled Zero Point Vibrational Energy (zpe) 1045.7 cm-1
Scaled (by 0.9752) Zero Point Vibrational Energy (zpe) 1019.8 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 MP4=FULL/aug-cc-pVDZ
ABC
0.13409 0.07191 0.04681

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.991 1.354
S2 0.000 0.991 -1.354
S3 0.000 -0.991 1.354
S4 0.000 -0.991 -1.354

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.70791.98303.3563
S22.70793.35631.9830
S31.98303.35632.7079
S43.35631.98302.7079

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