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All results from a given calculation for S8 (Octasulfur)

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D4D 1A1
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-3185.576584
Energy at 298.15K-3185.577624
Nuclear repulsion energy1197.468208
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 mPW1PW91/6-31G*
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 484 459 0.00      
2 A1 221 210 0.00      
3 B1 411 389 0.00      
4 B2 252 239 8.09      
5 E1 477 452 1.66      
5 E1 477 452 1.66      
6 E1 198 188 4.59      
6 E1 198 188 4.59      
7 E2 478 453 0.00      
7 E2 478 453 0.00      
8 E2 150 142 0.00      
8 E2 150 142 0.00      
9 E2 76 72 0.00      
9 E2 76 72 0.00      
10 E3 435 413 0.00      
10 E3 435 413 0.00      
11 E3 255 242 0.00      
11 E3 255 242 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2752.7 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 2610.4 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 mPW1PW91/6-31G*
ABC
0.02135 0.02135 0.01158

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is D4d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 2.386 0.491
S2 2.386 0.000 0.491
S3 0.000 -2.386 0.491
S4 -2.386 0.000 0.491
S5 -1.687 1.687 -0.491
S6 -1.687 -1.687 -0.491
S7 1.687 -1.687 -0.491
S8 1.687 1.687 -0.491

Atom - Atom Distances (Å)
  S1 S2 S3 S4 S5 S6 S7 S8
S13.37404.77153.37402.07334.51634.51632.0733
S23.37403.37404.77154.51634.51632.07332.0733
S34.77153.37403.37404.51632.07332.07334.5163
S43.37404.77153.37402.07332.07334.51634.5163
S52.07334.51634.51632.07333.37404.77153.3740
S64.51634.51632.07332.07333.37403.37404.7715
S74.51632.07332.07334.51634.77153.37403.3740
S82.07332.07334.51634.51633.37404.77153.3740

picture of Octasulfur state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S5 S4 108.915 S1 S8 S2 108.915
S2 S7 S3 108.915 S3 S6 S4 108.915
S5 S1 S8 108.915 S5 S4 S6 108.915
S6 S3 S7 108.915 S7 S2 S8 108.915
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* 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 0.219 0.000 0.000
y 0.000 0.219 0.000
z 0.000 0.000 -0.438
Traceless
 xyz
x 0.328 0.000 0.000
y 0.000 0.328 0.000
z 0.000 0.000 -0.656
Polar
3z2-r2-1.313
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 25.184 0.000 0.000
y 0.000 25.184 0.000
z 0.000 0.000 12.548


<r2> (average value of r2) Å2
<r2> 824.927
(<r2>)1/2 28.722