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

using model chemistry: MP3=FULL/3-21G*

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=FULL/3-21G*
 hartrees
Energy at 0K-1583.178505
Energy at 298.15K 
HF Energy-1582.599915
Nuclear repulsion energy347.577762
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=FULL/3-21G*
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 482 482 0.00      
2 A1 198 198 0.00      
3 B1 434 434 0.00      
4 B2 337 337 0.44      
5 E 402 402 0.02      
5 E 402 402 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 1127.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1127.2 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=FULL/3-21G*
ABC
0.11568 0.11568 0.06314

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/3-21G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.445 0.309
S2 0.000 -1.445 0.309
S3 -1.445 0.000 -0.309
S4 1.445 0.000 -0.309

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.88972.13492.1349
S22.88972.13492.1349
S32.13492.13492.8897
S42.13492.13492.8897

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 47.407 S1 S3 S4 47.407
S2 S1 S3 47.407 S2 S4 S3 47.407
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP3=FULL/3-21G*
 hartrees
Energy at 0K-1583.204301
Energy at 298.15K 
HF Energy-1582.578120
Nuclear repulsion energy331.250836
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=FULL/3-21G*
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 0.17      
2 A1 308 308 6.78      
3 A1 135 135 1.31      
4 A2 210 210 0.00      
5 B2 793 793 212.73      
6 B2 341 341 0.57      

Unscaled Zero Point Vibrational Energy (zpe) 1240.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1240.9 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=FULL/3-21G*
ABC
0.15571 0.07180 0.04914

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.080 0.920
S2 0.000 -1.080 0.920
S3 0.000 1.583 -0.920
S4 0.000 -1.583 -0.920

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.15931.90783.2367
S22.15933.23671.9078
S31.90783.23673.1662
S43.23671.90783.1662

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 105.301 S1 S3 S4 74.699
S2 S1 S3 105.301 S2 S4 S3 74.699
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3=FULL/3-21G*
 hartrees
Energy at 0K-1583.202465
Energy at 298.15K 
HF Energy-1582.557080
Nuclear repulsion energy330.795895
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=FULL/3-21G*
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 291 291 0.00      
3 Au 234 234 0.00      
4 B1u 2216 2216 643545.40      
5 B2u 38 38 11.75      
6 B3g 334 334 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1950.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1950.4 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 MP3=FULL/3-21G*
ABC
0.14855 0.07644 0.05047

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3=FULL/3-21G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.942 1.313
S2 0.000 0.942 -1.313
S3 0.000 -0.942 1.313
S4 0.000 -0.942 -1.313

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.62641.88403.2322
S22.62643.23221.8840
S31.88403.23222.6264
S43.23221.88402.6264

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