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All results from a given calculation for S8 (Octasulfur)

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 yes D4D 1A1
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-3185.383822
Energy at 298.15K-3185.384989
HF Energy-3185.383822
Nuclear repulsion energy 
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 489 464 0.00      
2 A1 223 212 0.00      
3 B1 448 425 0.00      
4 B2 258 245 8.05      
5 E1 485 460 1.05      
5 E1 485 460 1.05      
6 E1 199 189 3.41      
6 E1 199 189 3.41      
7 E2 493 468 0.00      
7 E2 493 468 0.00      
8 E2 154 147 0.00      
8 E2 154 147 0.00      
9 E2 68 64 0.00      
9 E2 68 64 0.00      
10 E3 465 441 0.00      
10 E3 465 441 0.00      
11 E3 256 243 0.00      
11 E3 256 243 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2829.6 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 2683.8 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 wB97X-D/6-31G*
ABC
0.02146 0.02146 0.01167

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

Point Group is D4d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 2.348 0.408
S2 2.348 0.000 0.408
S3 0.000 -2.348 0.408
S4 -2.348 0.000 0.408
S5 -1.660 1.660 -0.408
S6 -1.660 -1.660 -0.408
S7 1.660 -1.660 -0.408
S8 1.660 1.660 -0.408

Atom - Atom Distances (Å)
  S1 S2 S3 S4 S5 S6 S7 S8
S13.32004.69533.32001.97334.41394.41391.9733
S23.32003.32004.69534.41394.41391.97331.9733
S34.69533.32003.32004.41391.97331.97334.4139
S43.32004.69533.32001.97331.97334.41394.4139
S51.97334.41394.41391.97333.32004.69533.3200
S64.41394.41391.97331.97333.32003.32004.6953
S74.41391.97331.97334.41394.69533.32003.3200
S81.97331.97334.41394.41393.32004.69533.3200

picture of Octasulfur state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S5 S4 114.539 S1 S8 S2 114.539
S2 S7 S3 114.539 S3 S6 S4 114.539
S5 S1 S8 114.539 S5 S4 S6 114.539
S6 S3 S7 114.539 S7 S2 S8 114.539
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      
5 S 0.000      
6 S 0.000      
7 S 0.000      
8 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 -104.730 0.000 0.000
y 0.000 -104.730 0.000
z 0.000 0.000 -105.236
Traceless
 xyz
x 0.253 0.000 0.000
y 0.000 0.253 0.000
z 0.000 0.000 -0.506
Polar
3z2-r2-1.012
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 24.422 0.000 0.000
y 0.000 24.422 0.000
z 0.000 0.000 12.545


<r2> (average value of r2) Å2
<r2> 820.076
(<r2>)1/2 28.637