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

using model chemistry: CISD/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 CISD/3-21G*
 hartrees
Energy at 0K-1583.051085
Energy at 298.15K 
HF Energy-1582.600698
Nuclear repulsion energy350.292803
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 CISD/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 516 482 0.00      
2 A1 199 186 0.00      
3 B1 472 441 0.00      
4 B2 353 330 0.65      
5 E 443 414 0.04      
5 E 443 414 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 1213.1 cm-1
Scaled (by 0.9344) Zero Point Vibrational Energy (zpe) 1133.6 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 CISD/3-21G*
ABC
0.11765 0.11765 0.06391

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.436 0.299
S2 0.000 -1.436 0.299
S3 -1.436 0.000 -0.299
S4 1.436 0.000 -0.299

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87222.11702.1170
S22.87222.11702.1170
S32.11702.11702.8722
S42.11702.11702.8722

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 47.284 S1 S3 S4 47.284
S2 S1 S3 47.284 S2 S4 S3 47.284
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at CISD/3-21G*
 hartrees
Energy at 0K-1583.058901
Energy at 298.15K 
HF Energy-1582.584397
Nuclear repulsion energy334.749963
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 CISD/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 708 661 3.46      
2 A1 450 420 7.40      
3 A1 142 132 0.27      
4 A2 224 209 0.00      
5 B2 696 650 114.69      
6 B2 362 338 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 1290.5 cm-1
Scaled (by 0.9344) Zero Point Vibrational Energy (zpe) 1205.8 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 CISD/3-21G*
ABC
0.16148 0.07157 0.04959

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.022 0.903
S2 0.000 -1.022 0.903
S3 0.000 1.624 -0.903
S4 0.000 -1.624 -0.903

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.04471.90463.2047
S22.04473.20471.9046
S31.90463.20473.2487
S43.20471.90463.2487

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 108.427 S1 S3 S4 71.573
S2 S1 S3 108.427 S2 S4 S3 71.573
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at CISD/3-21G*
 hartrees
Energy at 0K-1583.049398
Energy at 298.15K 
HF Energy-1582.558814
Nuclear repulsion energy335.198509
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 CISD/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 792 740 0.00      
2 Ag 310 290 0.00      
3 Au 261 244 0.00      
4 B1u 997 932 4343.29      
5 B2u 127i 119i 22.81      
6 B3g 355 332 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1294.8 cm-1
Scaled (by 0.9344) Zero Point Vibrational Energy (zpe) 1209.9 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 CISD/3-21G*
ABC
0.14965 0.08012 0.05218

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.939 1.283
S2 0.000 0.939 -1.283
S3 0.000 -0.939 1.283
S4 0.000 -0.939 -1.283

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.56531.87703.1787
S22.56533.17871.8770
S31.87703.17872.5653
S43.17871.87702.5653

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