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

using model chemistry: CCSD/6-31+G**

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 CCSD/6-31+G**
 hartrees
Energy at 0K-1590.512874
Energy at 298.15K 
HF Energy-1589.981141
Nuclear repulsion energy347.277830
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 CCSD/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 502 469 0.00      
2 A1 204 191 0.00      
3 B1 450 421 0.00      
4 B2 334 312 0.13      
5 E 429 400 0.01      
5 E 429 400 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 1173.5 cm-1
Scaled (by 0.9338) Zero Point Vibrational Energy (zpe) 1095.8 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 CCSD/6-31+G**
ABC
0.11543 0.11543 0.06310

See section I.F.4 to change rotational constant units
Geometric Data calculated at CCSD/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.445 0.312
S2 0.000 -1.445 0.312
S3 -1.445 0.000 -0.312
S4 1.445 0.000 -0.312

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89062.13722.1372
S22.89062.13722.1372
S32.13722.13722.8906
S42.13722.13722.8906

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 47.448 S1 S3 S4 47.448
S2 S1 S3 47.448 S2 S4 S3 47.448
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at CCSD/6-31+G**
 hartrees
Energy at 0K-1590.526064
Energy at 298.15K 
HF Energy-1589.954006
Nuclear repulsion energy329.275714
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 CCSD/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 671 626 1.36      
2 A1 381 356 8.28      
3 A1 130 121 0.56      
4 A2 194 181        
5 B2 656 612 121.41      
6 B2 329 307 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 1179.9 cm-1
Scaled (by 0.9338) Zero Point Vibrational Energy (zpe) 1101.8 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 CCSD/6-31+G**
ABC
0.15481 0.07018 0.04829

See section I.F.4 to change rotational constant units
Geometric Data calculated at CCSD/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.060 0.923
S2 0.000 -1.060 0.923
S3 0.000 1.622 -0.923
S4 0.000 -1.622 -0.923

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.12071.92923.2562
S22.12073.25621.9292
S31.92923.25623.2449
S43.25621.92923.2449

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 106.940 S1 S3 S4 73.060
S2 S1 S3 106.940 S2 S4 S3 73.060
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at CCSD/6-31+G**
 hartrees
Energy at 0K-1590.519284
Energy at 298.15K 
HF Energy-1589.925650
Nuclear repulsion energy330.604943
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 CCSD/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 739 690 0.00      
2 Ag 277 258 0.00      
3 Au 230 215 0.00      
4 B1u 304i 284i 14051.00      
5 B2u 144i 135i 20.48      
6 B3g 321 300 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 559.4 cm-1
Scaled (by 0.9338) Zero Point Vibrational Energy (zpe) 522.4 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 CCSD/6-31+G**
ABC
0.14533 0.07809 0.05079

See section I.F.4 to change rotational constant units
Geometric Data calculated at CCSD/6-31+G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.952 1.299
S2 0.000 0.952 -1.299
S3 0.000 -0.952 1.299
S4 0.000 -0.952 -1.299

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.59851.90473.2219
S22.59853.22191.9047
S31.90473.22192.5985
S43.22191.90472.5985

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