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

using model chemistry: PBE1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B2
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-939.703489
Energy at 298.15K-939.707489
HF Energy-939.703489
Nuclear repulsion energy526.344415
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 PBE1PBE/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 938 894 264.13      
2 A1 756 721 11.35      
3 A1 608 580 16.82      
4 A1 524 499 74.63      
5 A1 391 373 1.72      
6 A1 280 267 0.01      
7 A2 448 427 0.00      
8 A2 302 288 0.00      
9 B1 1040 992 329.43      
10 B1 510 486 35.14      
11 B1 443 422 1.97      
12 B2 962 917 104.90      
13 B2 488 465 19.36      
14 B2 203 193 0.10      
15 B2 199 189 1.72      

Unscaled Zero Point Vibrational Energy (zpe) 4045.8 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 3856.1 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 PBE1PBE/6-31G**
ABC
0.09009 0.08082 0.08006

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.170
F2 0.000 1.236 1.133
F3 0.000 -1.236 1.133
F4 1.578 0.000 0.045
F5 -1.578 0.000 0.045
F6 0.000 0.954 -1.320
F7 0.000 -0.954 -1.320

Atom - Atom Distances (Å)
  P1 F2 F3 F4 F5 F6 F7
P11.56651.56651.58251.58251.76971.7697
F21.56652.47122.28012.28012.46983.2884
F31.56652.47122.28012.28013.28842.4698
F41.58252.28012.28013.15502.29422.2942
F51.58252.28012.28013.15502.29422.2942
F61.76972.46983.28842.29422.29421.9075
F71.76973.28842.46982.29422.29421.9075

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 104.143 F2 P1 F4 92.784
F2 P1 F5 92.784 F2 P1 F6 95.319
F2 P1 F7 160.538 F3 P1 F4 92.784
F3 P1 F5 92.784 F3 P1 F6 160.538
F3 P1 F7 95.319 F4 P1 F5 170.936
F4 P1 F6 86.183 F4 P1 F7 86.183
F5 P1 F6 86.183 F5 P1 F7 86.183
F6 P1 F7 65.220
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 1.488      
2 F -0.285      
3 F -0.285      
4 F -0.309      
5 F -0.309      
6 F -0.150      
7 F -0.150      


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 -0.763 0.763
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -43.375 0.000 0.000
y 0.000 -40.391 0.000
z 0.000 0.000 -40.900
Traceless
 xyz
x -2.730 0.000 0.000
y 0.000 1.747 0.000
z 0.000 0.000 0.983
Polar
3z2-r21.966
x2-y2-2.984
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.210 0.000 0.000
y 0.000 5.185 0.000
z 0.000 0.000 3.512


<r2> (average value of r2) Å2
<r2> 169.572
(<r2>)1/2 13.022