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All results from a given calculation for S8 (Octasulfur)

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D4D 1A1
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-3185.583580
Energy at 298.15K-3185.584629
Nuclear repulsion energy1197.354673
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 mPW1PW91/6-31+G**
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 481 458 0.00      
2 A1 220 210 0.00      
3 B1 409 390 0.00      
4 B2 248 236 5.91      
5 E1 475 452 1.87      
5 E1 475 452 1.87      
6 E1 197 187 4.87      
6 E1 197 187 4.87      
7 E2 477 454 0.00      
7 E2 477 454 0.00      
8 E2 149 142 0.00      
8 E2 149 142 0.00      
9 E2 76 72 0.00      
9 E2 76 72 0.00      
10 E3 434 413 0.00      
10 E3 434 413 0.00      
11 E3 254 242 0.00      
11 E3 254 242 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2741.0 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 2608.9 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 mPW1PW91/6-31+G**
ABC
0.02134 0.02134 0.01157

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

Point Group is D4d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 2.386 0.490
S2 2.386 0.000 0.490
S3 0.000 -2.386 0.490
S4 -2.386 0.000 0.490
S5 -1.687 1.687 -0.490
S6 -1.687 -1.687 -0.490
S7 1.687 -1.687 -0.490
S8 1.687 1.687 -0.490

Atom - Atom Distances (Å)
  S1 S2 S3 S4 S5 S6 S7 S8
S13.37494.77283.37492.07304.51724.51722.0730
S23.37493.37494.77284.51724.51722.07302.0730
S34.77283.37493.37494.51722.07302.07304.5172
S43.37494.77283.37492.07302.07304.51724.5172
S52.07304.51724.51722.07303.37494.77283.3749
S64.51724.51722.07302.07303.37493.37494.7728
S74.51722.07302.07304.51724.77283.37493.3749
S82.07302.07304.51724.51723.37494.77283.3749

picture of Octasulfur state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S5 S4 108.977 S1 S8 S2 108.977
S2 S7 S3 108.977 S3 S6 S4 108.977
S5 S1 S8 108.977 S5 S4 S6 108.977
S6 S3 S7 108.977 S7 S2 S8 108.977
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** 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 0.350 0.000 0.000
y 0.000 0.350 0.000
z 0.000 0.000 -0.701
Traceless
 xyz
x 0.525 0.000 0.000
y 0.000 0.525 0.000
z 0.000 0.000 -1.051
Polar
3z2-r2-2.102
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 27.337 0.000 0.000
y 0.000 27.337 0.000
z 0.000 0.000 14.656


<r2> (average value of r2) Å2
<r2> 825.156
(<r2>)1/2 28.726