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

using model chemistry: wB97X-D/6-31G*

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 wB97X-D/6-31G*
 hartrees
Energy at 0K-1592.619476
Energy at 298.15K 
HF Energy-1592.619476
Nuclear repulsion energy348.612535
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 wB97X-D/6-31G*
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 532 504 0.00 53.93 0.07 0.14
2 A1 195 185 0.00 2.66 0.74 0.85
3 B1 478 453 0.00 35.49 0.75 0.86
4 B2 320 304 0.47 10.66 0.75 0.86
5 E 457 433 0.00 7.33 0.75 0.86
5 E 457 433 0.00 7.33 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1219.2 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 1156.4 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 wB97X-D/6-31G*
ABC
0.11645 0.11645 0.06341

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.442 0.304
S2 0.000 -1.442 0.304
S3 -1.442 0.000 -0.304
S4 1.442 0.000 -0.304

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.88362.12792.1279
S22.88362.12792.1279
S32.12792.12792.8836
S42.12792.12792.8836

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 47.345 S1 S3 S4 47.345
S2 S1 S3 47.345 S2 S4 S3 47.345
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* 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
Primitive
 xyz
x -49.709 0.000 0.000
y 0.000 -49.709 0.000
z 0.000 0.000 -54.977
Traceless
 xyz
x 2.634 0.000 0.000
y 0.000 2.634 0.000
z 0.000 0.000 -5.267
Polar
3z2-r2-10.534
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.366 0.000 0.000
y 0.000 10.366 0.000
z 0.000 0.000 5.256


<r2> (average value of r2) Å2
<r2> 171.114
(<r2>)1/2 13.081

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-1592.634942
Energy at 298.15K 
HF Energy-1592.634942
Nuclear repulsion energy331.745001
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 wB97X-D/6-31G*
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 682 646 3.25 32.03 0.21 0.35
2 A1 423 401 7.50 45.16 0.23 0.37
3 A1 130 123 0.78 15.42 0.46 0.63
4 A2 217 206 0.00 0.32 0.75 0.86
5 B2 654 621 162.97 3.20 0.75 0.86
6 B2 345 327 0.32 15.33 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1225.0 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 1161.9 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 wB97X-D/6-31G*
ABC
0.15605 0.07171 0.04913

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.052 0.919
S2 0.000 -1.052 0.919
S3 0.000 1.603 -0.919
S4 0.000 -1.603 -0.919

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.10311.91913.2291
S22.10313.22911.9191
S31.91913.22913.2065
S43.22911.91913.2065

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 106.706 S1 S3 S4 73.294
S2 S1 S3 106.706 S2 S4 S3 73.294
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.118      
2 S 0.118      
3 S -0.118      
4 S -0.118      


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 1.800 1.800
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.346 0.000 0.000
y 0.000 -54.432 0.000
z 0.000 0.000 -49.899
Traceless
 xyz
x 0.819 0.000 0.000
y 0.000 -3.809 0.000
z 0.000 0.000 2.990
Polar
3z2-r25.980
x2-y23.086
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.321 0.000 0.000
y 0.000 18.411 0.000
z 0.000 0.000 11.069


<r2> (average value of r2) Å2
<r2> 204.110
(<r2>)1/2 14.287

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-1592.627368
Energy at 298.15K 
HF Energy-1592.627368
Nuclear repulsion energy335.287021
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 wB97X-D/6-31G*
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 752 713 0.00 40.56 0.29 0.45
2 Ag 300 285 0.00 44.21 0.29 0.45
3 Au 256 242 0.00 0.00 0.00 0.00
4 B1u 694 658 180.35 0.00 0.00 0.00
5 B2u 166i 158i 26.28 0.00 0.00 0.00
6 B3g 351 333 0.00 18.52 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1093.3 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 1036.9 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 wB97X-D/6-31G*
ABC
0.14666 0.08198 0.05258

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.948 1.268
S2 0.000 0.948 -1.268
S3 0.000 -0.948 1.268
S4 0.000 -0.948 -1.268

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.53611.89613.1666
S22.53613.16661.8961
S31.89613.16662.5361
S43.16661.89612.5361

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 wB97X-D/6-31G* 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
Primitive
 xyz
x -51.737 0.000 0.000
y 0.000 -49.220 0.000
z 0.000 0.000 -53.904
Traceless
 xyz
x -0.175 0.000 0.000
y 0.000 3.601 0.000
z 0.000 0.000 -3.426
Polar
3z2-r2-6.852
x2-y2-2.517
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.274 0.000 0.000
y 0.000 11.687 0.000
z 0.000 0.000 17.202


<r2> (average value of r2) Å2
<r2> 192.675
(<r2>)1/2 13.881