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

using model chemistry: TPSSh/daug-cc-pVTZ

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 TPSSh/daug-cc-pVTZ
 hartrees
Energy at 0K-1592.879422
Energy at 298.15K 
HF Energy-1592.879422
Nuclear repulsion energy349.506410
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 TPSSh/daug-cc-pVTZ
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 518 518 0.00 40.23 0.04 0.08
2 A1 204 204 0.00 1.14 0.73 0.85
3 B1 452 452 0.00 16.71 0.75 0.86
4 B2 289 289 0.02 7.35 0.75 0.86
5 E 427 427 0.01 3.09 0.75 0.86
5 E 427 427 0.01 3.09 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1159.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1159.0 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 TPSSh/daug-cc-pVTZ
ABC
0.11671 0.11671 0.06423

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/daug-cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.433 0.321
S2 0.000 -1.433 0.321
S3 -1.433 0.000 -0.321
S4 1.433 0.000 -0.321

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.86522.12552.1255
S22.86522.12552.1255
S32.12552.12552.8652
S42.12552.12552.8652

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 47.622 S1 S3 S4 47.622
S2 S1 S3 47.622 S2 S4 S3 47.622
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.000      
2 S 0.000      
3 S 0.000      
4 S 0.000      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.900 0.000 0.000
y 0.000 12.900 0.000
z 0.000 0.000 9.092


<r2> (average value of r2) Å2
<r2> 169.605
(<r2>)1/2 13.023

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at TPSSh/daug-cc-pVTZ
 hartrees
Energy at 0K-1592.908257
Energy at 298.15K 
HF Energy-1592.908257
Nuclear repulsion energy331.601566
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 TPSSh/daug-cc-pVTZ
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 687 687 4.90 31.51 0.07 0.12
2 A1 348 348 5.20 33.85 0.14 0.25
3 A1 111 111 0.95 8.00 0.39 0.56
4 A2 216 216 0.00 0.09 0.75 0.86
5 B2 659 659 106.23 3.14 0.75 0.86
6 B2 330 330 0.05 8.05 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1176.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1176.1 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 TPSSh/daug-cc-pVTZ
ABC
0.15396 0.07290 0.04947

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.075 0.925
S2 0.000 -1.075 0.925
S3 0.000 1.568 -0.925
S4 0.000 -1.568 -0.925

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.15091.91513.2271
S22.15093.22711.9151
S31.91513.22713.1367
S43.22711.91513.1367

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 104.915 S1 S3 S4 75.085
S2 S1 S3 104.915 S2 S4 S3 75.085
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.311      
2 S 0.311      
3 S -0.311      
4 S -0.311      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 1.224 1.224
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.220 0.000 0.000
y 0.000 19.711 0.000
z 0.000 0.000 13.336


<r2> (average value of r2) Å2
<r2> 202.313
(<r2>)1/2 14.224

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at TPSSh/daug-cc-pVTZ
 hartrees
Energy at 0K-1592.904720
Energy at 298.15K 
HF Energy-1592.904720
Nuclear repulsion energy333.997624
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 TPSSh/daug-cc-pVTZ
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 729 729 0.00 35.51 0.09 0.17
2 Ag 288 288 0.00 30.48 0.17 0.29
3 Au 244 244 0.00 0.00 0.00 0.00
4 B1u 676 676 110.75 0.00 0.00 0.00
5 B2u 124i 124i 13.26 0.00 0.00 0.00
6 B3g 332 332 0.00 8.46 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1072.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1072.4 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 TPSSh/daug-cc-pVTZ
ABC
0.14601 0.08106 0.05212

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/daug-cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.950 1.275
S2 0.000 0.950 -1.275
S3 0.000 -0.950 1.275
S4 0.000 -0.950 -1.275

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.55041.90033.1805
S22.55043.18051.9003
S31.90033.18052.5504
S43.18051.90032.5504

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
Charges from optimized geometry at TPSSh/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.000      
2 S 0.000      
3 S 0.000      
4 S 0.000      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.210 0.000 0.000
y 0.000 13.686 0.000
z 0.000 0.000 18.996


<r2> (average value of r2) Å2
<r2> 193.506
(<r2>)1/2 13.911