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All results from a given calculation for S8 (Octasulfur)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-3184.106870
Energy at 298.15K-3184.107361
HF Energy-3184.106870
Nuclear repulsion energy1177.871921
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 PBEPBEultrafine/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 456 448 0.00      
2 A1 211 207 0.00      
3 B1 317 311 0.00      
4 B2 231 227 5.74      
5 E1 445 437 3.25      
5 E1 445 437 3.25      
6 E1 187 184 6.17      
6 E1 187 184 6.17      
7 E2 436 429 0.00      
7 E2 436 429 0.00      
8 E2 135 133 0.00      
8 E2 135 133 0.00      
9 E2 75 74 0.00      
9 E2 75 74 0.00      
10 E3 363 357 0.00      
10 E3 363 357 0.00      
11 E3 243 239 0.00      
11 E3 243 239 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2490.7 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 2449.6 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 PBEPBEultrafine/6-31G*
ABC
0.02063 0.02063 0.01115

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

Point Group is D4d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 2.432 0.488
S2 2.432 0.000 0.488
S3 0.000 -2.432 0.488
S4 -2.432 0.000 0.488
S5 -1.720 1.720 -0.488
S6 -1.720 -1.720 -0.488
S7 1.720 -1.720 -0.488
S8 1.720 1.720 -0.488

Atom - Atom Distances (Å)
  S1 S2 S3 S4 S5 S6 S7 S8
S13.43914.86363.43912.10184.59824.59822.1018
S23.43913.43914.86364.59824.59822.10182.1018
S34.86363.43913.43914.59822.10182.10184.5982
S43.43914.86363.43912.10182.10184.59824.5982
S52.10184.59824.59822.10183.43914.86363.4391
S64.59824.59822.10182.10183.43913.43914.8636
S74.59822.10182.10184.59824.86363.43913.4391
S82.10182.10184.59824.59823.43914.86363.4391

picture of Octasulfur state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S5 S4 109.799 S1 S8 S2 109.799
S2 S7 S3 109.799 S3 S6 S4 109.799
S5 S1 S8 109.799 S5 S4 S6 109.799
S6 S3 S7 109.799 S7 S2 S8 109.799
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/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 -104.235 0.000 0.006
y 0.000 -104.235 -0.006
z 0.006 -0.006 -105.376
Traceless
 xyz
x 0.570 0.000 0.006
y 0.000 0.570 -0.006
z 0.006 -0.006 -1.141
Polar
3z2-r2-2.282
x2-y20.000
xy0.000
xz0.006
yz-0.006


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 27.577 0.000 0.003
y 0.000 27.577 -0.003
z 0.003 -0.003 12.846


<r2> (average value of r2) Å2
<r2> 852.796
(<r2>)1/2 29.203