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All results from a given calculation for S8 (Octasulfur)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D4D 1A1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-3169.840260
Energy at 298.15K-3169.840176
Nuclear repulsion energy1116.952372
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 mPW1PW91/3-21G
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 410 392 0.00      
2 A1 167 160 0.00      
3 B1 345 329 0.00      
4 B2 186 177 3.63      
5 E1 408 390 0.58      
5 E1 408 390 0.58      
6 E1 150 143 1.32      
6 E1 150 143 1.32      
7 E2 416 397 0.00      
7 E2 416 397 0.00      
8 E2 118 113 0.00      
8 E2 118 113 0.00      
9 E2 53 50 0.00      
9 E2 53 50 0.00      
10 E3 379 362 0.00      
10 E3 379 362 0.00      
11 E3 190 181 0.00      
11 E3 190 181 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2267.5 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 2164.5 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 mPW1PW91/3-21G
ABC
0.01868 0.01868 0.01029

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is D4d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 2.531 0.571
S2 2.531 0.000 0.571
S3 0.000 -2.531 0.571
S4 -2.531 0.000 0.571
S5 -1.789 1.789 -0.571
S6 -1.789 -1.789 -0.571
S7 1.789 -1.789 -0.571
S8 1.789 1.789 -0.571

Atom - Atom Distances (Å)
  S1 S2 S3 S4 S5 S6 S7 S8
S13.57885.06123.57882.24894.81354.81352.2489
S23.57883.57885.06124.81354.81352.24892.2489
S35.06123.57883.57884.81352.24892.24894.8135
S43.57885.06123.57882.24892.24894.81354.8135
S52.24894.81354.81352.24893.57885.06123.5788
S64.81354.81352.24892.24893.57883.57885.0612
S74.81352.24892.24894.81355.06123.57883.5788
S82.24892.24894.81354.81353.57885.06123.5788

picture of Octasulfur state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S5 S4 105.441 S1 S8 S2 105.441
S2 S7 S3 105.441 S3 S6 S4 105.441
S5 S1 S8 105.440 S5 S4 S6 105.440
S6 S3 S7 105.440 S7 S2 S8 105.440
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G 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 -0.173 0.000 0.000
y 0.000 -0.173 0.000
z 0.000 0.000 0.345
Traceless
 xyz
x -0.259 0.000 0.000
y 0.000 -0.259 0.000
z 0.000 0.000 0.518
Polar
3z2-r21.036
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 28.413 0.000 0.000
y 0.000 28.413 0.000
z 0.000 0.000 13.375


<r2> (average value of r2) Å2
<r2> 929.812
(<r2>)1/2 30.493