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

using model chemistry: B3LYP/CEP-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 B3LYP/CEP-31G*
 hartrees
Energy at 0K-151.662791
Energy at 298.15K-151.666271
HF Energy-151.662791
Nuclear repulsion energy223.816489
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 B3LYP/CEP-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 868 838 272.14      
2 A1 708 684 19.50      
3 A1 546 527 18.65      
4 A1 501 484 82.75      
5 A1 359 347 5.13      
6 A1 271 262 0.00      
7 A2 439 424 0.00      
8 A2 295 285 0.00      
9 B1 959 926 338.30      
10 B1 501 484 37.05      
11 B1 427 413 2.75      
12 B2 890 860 105.71      
13 B2 474 458 18.36      
14 B2 197 190 0.01      
15 B2 41 39 2.23      

Unscaled Zero Point Vibrational Energy (zpe) 3737.9 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 3609.7 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 B3LYP/CEP-31G*
ABC
0.08736 0.07780 0.07721

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.177
F2 0.000 1.250 1.155
F3 0.000 -1.250 1.155
F4 1.600 0.000 0.047
F5 -1.600 0.000 0.047
F6 0.000 0.977 -1.350
F7 0.000 -0.977 -1.350

Atom - Atom Distances (Å)
  P1 F2 F3 F4 F5 F6 F7
P11.58721.58721.60571.60571.81311.8131
F21.58722.50062.31362.31362.52023.3521
F31.58722.50062.31362.31363.35212.5202
F41.60572.31362.31363.20082.33822.3382
F51.60572.31362.31363.20082.33822.3382
F61.81312.52023.35212.33822.33821.9536
F71.81313.35212.52022.33822.33821.9536

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 103.946 F2 P1 F4 92.869
F2 P1 F5 92.869 F2 P1 F6 95.430
F2 P1 F7 160.624 F3 P1 F4 92.869
F3 P1 F5 92.869 F3 P1 F6 160.624
F3 P1 F7 95.430 F4 P1 F5 170.679
F4 P1 F6 86.075 F4 P1 F7 86.075
F5 P1 F6 86.075 F5 P1 F7 86.075
F6 P1 F7 65.194
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 0.679      
2 F -0.135      
3 F -0.135      
4 F -0.152      
5 F -0.152      
6 F -0.052      
7 F -0.052      


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 -0.635 0.635
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -43.807 0.000 0.000
y 0.000 -40.805 0.000
z 0.000 0.000 -41.480
Traceless
 xyz
x -2.665 0.000 0.000
y 0.000 1.839 0.000
z 0.000 0.000 0.826
Polar
3z2-r21.652
x2-y2-3.003
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.505 0.000 0.000
y 0.000 5.859 0.000
z 0.000 0.000 3.893


<r2> (average value of r2) Å2
<r2> 141.743
(<r2>)1/2 11.906