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All results from a given calculation for PF6 (Hexafluorophosphate neutral)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B2
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-934.634923
Energy at 298.15K-934.638370
HF Energy-934.634923
Nuclear repulsion energy507.263631
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 PBEPBE/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 874 867 95.39      
2 A1 694 688 0.44      
3 A1 606 600 12.09      
4 A1 415 411 45.33      
5 A1 329 326 0.60      
6 A1 232 230 0.11      
7 A2 361 358 0.00      
8 A2 244 242 0.00      
9 B1 1005 995 162.54      
10 B1 415 411 37.55      
11 B1 341 338 2.53      
12 B2 926 917 65.52      
13 B2 395 391 20.49      
14 B2 349 346 6.32      
15 B2 160 159 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 3672.9 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 3639.4 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 PBEPBE/3-21G
ABC
0.08394 0.07525 0.07392

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.174
F2 0.000 1.290 1.184
F3 0.000 -1.290 1.184
F4 1.642 0.000 0.041
F5 -1.642 0.000 0.041
F6 0.000 0.963 -1.370
F7 0.000 -0.963 -1.370

Atom - Atom Distances (Å)
  P1 F2 F3 F4 F5 F6 F7
P11.63801.63801.64731.64731.81991.8199
F21.63802.57912.38032.38032.57513.4055
F31.63802.57912.38032.38033.40552.5751
F41.64732.38032.38033.28382.36942.3694
F51.64732.38032.38033.28382.36942.3694
F61.81992.57513.40552.36942.36941.9255
F71.81993.40552.57512.36942.36941.9255

picture of Hexafluorophosphate neutral state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
F2 P1 F3 103.864 F2 P1 F4 92.858
F2 P1 F5 92.858 F2 P1 F6 96.129
F2 P1 F7 160.007 F3 P1 F4 92.858
F3 P1 F5 92.858 F3 P1 F6 160.007
F3 P1 F7 96.129 F4 P1 F5 170.724
F4 P1 F6 86.065 F4 P1 F7 86.065
F5 P1 F6 86.065 F5 P1 F7 86.065
F6 P1 F7 63.879
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.639      
2 F -0.318      
3 F -0.318      
4 F -0.341      
5 F -0.341      
6 F -0.161      
7 F -0.161      


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 -0.611 0.611
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.581 0.000 0.000
y 0.000 -41.633 0.000
z 0.000 0.000 -42.305
Traceless
 xyz
x -2.613 0.000 0.000
y 0.000 1.810 0.000
z 0.000 0.000 0.802
Polar
3z2-r21.605
x2-y2-2.948
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.095 0.000 0.000
y 0.000 4.185 0.000
z 0.000 0.000 3.826


<r2> (average value of r2) Å2
<r2> 181.416
(<r2>)1/2 13.469