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

using model chemistry: TPSSh/6-311G**

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/6-311G**
 hartrees
Energy at 0K-1592.808703
Energy at 298.15K 
HF Energy-1592.808703
Nuclear repulsion energy345.244301
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/6-311G**
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 491 491 0.00 53.00 0.08 0.14
2 A1 197 197 0.00 3.80 0.71 0.83
3 B1 411 411 0.00 37.67 0.75 0.86
4 B2 291 291 0.06 11.00 0.75 0.86
5 E 398 398 0.28 7.66 0.75 0.86
5 E 398 398 0.28 7.66 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1092.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1092.7 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 TPSSh/6-311G**
ABC
0.11379 0.11379 0.06280

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.449 0.330
S2 0.000 -1.449 0.330
S3 -1.449 0.000 -0.330
S4 1.449 0.000 -0.330

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89752.15252.1525
S22.89752.15252.1525
S32.15252.15252.8975
S42.15252.15252.8975

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 47.697 S1 S3 S4 47.697
S2 S1 S3 47.697 S2 S4 S3 47.697
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311G** 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 10.867 0.000 0.000
y 0.000 10.867 0.000
z 0.000 0.000 5.640


<r2> (average value of r2) Å2
<r2> 173.834
(<r2>)1/2 13.185

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at TPSSh/6-311G**
 hartrees
Energy at 0K-1592.842650
Energy at 298.15K 
HF Energy-1592.842650
Nuclear repulsion energy328.802262
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/6-311G**
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 682 682 1.38 36.71 0.25 0.40
2 A1 278 278 5.63 35.85 0.26 0.42
3 A1 61 61 8.52 2.25 0.63 0.77
4 A2 222 222 0.00 0.08 0.75 0.86
5 B2 647 647 139.27 1.79 0.75 0.86
6 B2 321 321 0.03 14.70 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1105.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1105.5 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/6-311G**
ABC
0.14760 0.07436 0.04945

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.153 0.945
S2 0.000 -1.153 0.945
S3 0.000 1.488 -0.945
S4 0.000 -1.488 -0.945

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.30691.91953.2482
S22.30693.24821.9195
S31.91953.24822.9765
S43.24821.91952.9765

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 100.046 S1 S3 S4 79.954
S2 S1 S3 100.046 S2 S4 S3 79.954
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.083      
2 S 0.083      
3 S -0.083      
4 S -0.083      


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 1.175 1.175
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 4.449 0.000 0.000
y 0.000 18.452 0.000
z 0.000 0.000 12.050


<r2> (average value of r2) Å2
<r2> 203.341
(<r2>)1/2 14.260

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at TPSSh/6-311G**
 hartrees
Energy at 0K-1592.842376
Energy at 298.15K 
HF Energy-1592.842376
Nuclear repulsion energy329.845446
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/6-311G**
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 705 705 0.00 40.50 0.26 0.42
2 Ag 278 278 0.00 32.89 0.29 0.45
3 Au 236 236 0.00 0.00 0.00 0.00
4 B1u 659 659 142.74 0.00 0.00 0.00
5 B2u 48i 48i 20.13 0.00 0.00 0.00
6 B3g 320 320 0.00 15.04 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1074.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1074.8 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/6-311G**
ABC
0.14426 0.07796 0.05061

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.956 1.300
S2 0.000 0.956 -1.300
S3 0.000 -0.956 1.300
S4 0.000 -0.956 -1.300

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.60061.91183.2277
S22.60063.22771.9118
S31.91183.22772.6006
S43.22771.91182.6006

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/6-311G** 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 4.432 0.000 0.000
y 0.000 12.287 0.000
z 0.000 0.000 18.178


<r2> (average value of r2) Å2
<r2> 199.332
(<r2>)1/2 14.119