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

using model chemistry: TPSSh/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/cc-pVTZ
 hartrees
Energy at 0K-1592.876415
Energy at 298.15K 
HF Energy-1592.876415
Nuclear repulsion energy349.518203
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/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 519 503 0.00 39.92 0.04 0.08
2 A1 203 197 0.00 2.50 0.75 0.86
3 B1 453 439 0.00 17.52 0.75 0.86
4 B2 289 280 0.00 9.20 0.75 0.86
5 E 428 414 0.05 4.37 0.75 0.86
5 E 428 414 0.05 4.37 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1159.5 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 1122.8 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 TPSSh/cc-pVTZ
ABC
0.11672 0.11672 0.06423

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/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
S12.86522.12542.1254
S22.86522.12542.1254
S32.12542.12542.8652
S42.12542.12542.8652

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 47.621 S1 S3 S4 47.621
S2 S1 S3 47.621 S2 S4 S3 47.621
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/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 11.437 0.000 0.000
y 0.000 11.437 0.000
z 0.000 0.000 6.681


<r2> (average value of r2) Å2
<r2> 169.427
(<r2>)1/2 13.016

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at TPSSh/cc-pVTZ
 hartrees
Energy at 0K-1592.905744
Energy at 298.15K 
HF Energy-1592.905744
Nuclear repulsion energy331.638881
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/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 689 667 4.41 27.62 0.16 0.27
2 A1 347 336 6.14 34.68 0.19 0.32
3 A1 111 108 1.17 7.76 0.47 0.64
4 A2 217 210 0.00 0.09 0.75 0.86
5 B2 661 640 107.72 2.85 0.75 0.86
6 B2 331 320 0.07 11.90 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1177.9 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 1140.6 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 TPSSh/cc-pVTZ
ABC
0.15376 0.07305 0.04952

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.077 0.926
S2 0.000 -1.077 0.926
S3 0.000 1.565 -0.926
S4 0.000 -1.565 -0.926

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.15341.91513.2262
S22.15343.22621.9151
S31.91513.22623.1303
S43.22621.91513.1303

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 104.775 S1 S3 S4 75.225
S2 S1 S3 104.775 S2 S4 S3 75.225
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.119      
2 S 0.119      
3 S -0.119      
4 S -0.119      


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 1.299 1.299
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 5.807 0.000 0.000
y 0.000 18.009 0.000
z 0.000 0.000 12.036


<r2> (average value of r2) Å2
<r2> 202.005
(<r2>)1/2 14.213

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at TPSSh/cc-pVTZ
 hartrees
Energy at 0K-1592.902320
Energy at 298.15K 
HF Energy-1592.902320
Nuclear repulsion energy333.939285
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/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 731 707 0.00 33.17 0.20 0.33
2 Ag 288 279 0.00 33.63 0.24 0.38
3 Au 245 237 0.00 0.00 0.00 0.00
4 B1u 678 656 113.91 0.00 0.00 0.00
5 B2u 123i 119i 14.98 0.00 0.00 0.00
6 B3g 332 322 0.00 12.98 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1075.3 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 1041.2 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/cc-pVTZ
ABC
0.14600 0.08101 0.05210

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.950 1.276
S2 0.000 0.950 -1.276
S3 0.000 -0.950 1.276
S4 0.000 -0.950 -1.276

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.55121.90043.1812
S22.55123.18121.9004
S31.90043.18122.5512
S43.18121.90042.5512

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/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 5.795 0.000 0.000
y 0.000 12.470 0.000
z 0.000 0.000 17.354


<r2> (average value of r2) Å2
<r2> 193.440
(<r2>)1/2 13.908