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

using model chemistry: MP3/cc-pV(T+d)Z

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/cc-pV(T+d)Z
 hartrees
Energy at 0K-1590.882706
Energy at 298.15K 
HF Energy-1590.155931
Nuclear repulsion energy350.629213
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/cc-pV(T+d)Z
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 530 530 0.00      
2 A1 202 202 0.00      
3 B1 486 486 0.00      
4 B2 317 317 0.00      
5 E 456 456 0.03      
5 E 456 456 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 1223.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1223.8 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 MP3/cc-pV(T+d)Z
ABC
0.11771 0.11771 0.06428

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/cc-pV(T+d)Z

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.432 0.307
S2 0.000 -1.432 0.307
S3 -1.432 0.000 -0.307
S4 1.432 0.000 -0.307

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.86412.11652.1165
S22.86412.11652.1165
S32.11652.11652.8641
S42.11652.11652.8641

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 47.420 S1 S3 S4 47.420
S2 S1 S3 47.420 S2 S4 S3 47.420
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP3/cc-pV(T+d)Z
 hartrees
Energy at 0K-1590.895240
Energy at 298.15K 
HF Energy-1590.132334
Nuclear repulsion energy333.068086
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/cc-pV(T+d)Z
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 694 694 4.25      
2 A1 420 420 5.63      
3 A1 137 137 0.10      
4 A2 209 209 0.00      
5 B2 751 751 10.36      
6 B2 343 343 2.17      

Unscaled Zero Point Vibrational Energy (zpe) 1276.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1276.0 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 MP3/cc-pV(T+d)Z
ABC
0.15939 0.07124 0.04924

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/cc-pV(T+d)Z

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.040 0.909
S2 0.000 -1.040 0.909
S3 0.000 1.618 -0.909
S4 0.000 -1.618 -0.909

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.08001.90853.2209
S22.08003.22091.9085
S31.90853.22093.2365
S43.22091.90853.2365

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 107.638 S1 S3 S4 72.362
S2 S1 S3 107.638 S2 S4 S3 72.362
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP3/cc-pV(T+d)Z
 hartrees
Energy at 0K-1590.883409
Energy at 298.15K 
HF Energy-1590.096859
Nuclear repulsion energy336.915144
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/cc-pV(T+d)Z
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 788 788 0.00      
2 Ag 301 301 0.00      
3 Au 248 248 0.00      
4 B1u 1113 1113 9783.79      
5 B2u 199i 199i 19.00      
6 B3g 347 347 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1298.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1298.9 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/cc-pV(T+d)Z
ABC
0.14936 0.08202 0.05294

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/cc-pV(T+d)Z

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.939 1.268
S2 0.000 0.939 -1.268
S3 0.000 -0.939 1.268
S4 0.000 -0.939 -1.268

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.53551.87893.1558
S22.53553.15581.8789
S31.87893.15582.5355
S43.15581.87892.5355

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