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

using model chemistry: B2PLYP=FULL/6-31G(2df,p)

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 B2PLYP=FULL/6-31G(2df,p)
 hartrees
Energy at 0K-1592.197210
Energy at 298.15K 
HF Energy-1591.953555
Nuclear repulsion energy349.846082
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 B2PLYP=FULL/6-31G(2df,p)
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 524 524 0.00 39.43 0.04 0.09
2 A1 203 203 0.00 1.81 0.75 0.86
3 B1 464 464 0.00 19.03 0.75 0.86
4 B2 302 302 0.00 9.13 0.75 0.86
5 E 436 436 0.02 4.40 0.75 0.86
5 E 436 436 0.02 4.40 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1182.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1182.7 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 B2PLYP=FULL/6-31G(2df,p)
ABC
0.11708 0.11708 0.06415

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/6-31G(2df,p)

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.433 0.314
S2 0.000 -1.433 0.314
S3 -1.433 0.000 -0.314
S4 1.433 0.000 -0.314

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.86702.12222.1222
S22.86702.12222.1222
S32.12222.12222.8670
S42.12222.12222.8670

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 47.508 S1 S3 S4 47.508
S2 S1 S3 47.508 S2 S4 S3 47.508
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP=FULL/6-31G(2df,p)
 hartrees
Energy at 0K-1592.233329
Energy at 298.15K 
HF Energy-1591.941050
Nuclear repulsion energy330.743333
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 B2PLYP=FULL/6-31G(2df,p)
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 701 701 0.00 35.27 0.16 0.27
2 A1 250 250 0.00 2.06 0.75 0.86
3 A1 94 94 8.56 0.00 0.63 0.77
4 A2 234 234 0.00 0.00 0.75 0.86
5 B2 682 682 42.85 0.00 0.75 0.86
6 B2 320 320 0.00 13.26 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1139.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1139.9 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 B2PLYP=FULL/6-31G(2df,p)
ABC
0.14435 0.07879 0.05097

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.294 0.956
S2 0.000 -1.294 0.956
S3 0.000 1.293 -0.956
S4 0.000 -1.293 -0.956

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58711.91123.2163
S22.58713.21631.9112
S31.91123.21632.5866
S43.21631.91122.5866

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 89.993 S1 S3 S4 90.007
S2 S1 S3 89.993 S2 S4 S3 90.007
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B2PLYP=FULL/6-31G(2df,p)
 hartrees
Energy at 0K-1592.233329
Energy at 298.15K 
HF Energy-1591.941059
Nuclear repulsion energy330.764915
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 B2PLYP=FULL/6-31G(2df,p)
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 700 700 0.00 35.27 0.16 0.27
2 Ag 250 250 0.00 2.03 0.75 0.86
3 Au 234 234 0.00 0.00 0.00 0.00
4 B1u 681 681 42.89 0.00 0.00 0.00
5 B2u 94 94 8.57 0.00 0.00 0.00
6 B3g 320 320 0.00 13.26 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1140.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1140.1 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 B2PLYP=FULL/6-31G(2df,p)
ABC
0.14435 0.07882 0.05098

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULL/6-31G(2df,p)

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.956 1.293
S2 0.000 0.956 -1.293
S3 0.000 -0.956 1.293
S4 0.000 -0.956 -1.293

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.58651.91123.2160
S22.58653.21601.9112
S31.91123.21602.5865
S43.21601.91122.5865

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