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All results from a given calculation for PH4 (Phosphoranyl radical)

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 C2V 2A1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-341.889755
Energy at 298.15K-341.894056
HF Energy-341.889755
Nuclear repulsion energy22.411823
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 2330 2224 28.87      
2 A1 1571 1499 7.59      
3 A1 1055 1007 1.97      
4 A1 853 814 6.48      
5 A2 1192 1138 0.00      
6 B1 2344 2238 50.66      
7 B1 807 770 7.87      
8 B2 1165 1112 16.35      
9 B2 756 721 627.07      

Unscaled Zero Point Vibrational Energy (zpe) 6036.1 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 5762.0 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
4.14671 2.45763 2.26418

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.090
H2 0.000 1.594 0.181
H3 0.000 -1.594 0.181
H4 1.074 0.000 -0.857
H5 -1.074 0.000 -0.857

Atom - Atom Distances (Å)
  P1 H2 H3 H4 H5
P11.59631.59631.43211.4321
H21.59633.18752.18422.1842
H31.59633.18752.18422.1842
H41.43212.18422.18422.1483
H51.43212.18422.18422.1483

picture of Phosphoranyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H2 P1 H3 173.500 H2 P1 H4 92.149
H2 P1 H5 92.149 H3 P1 H4 92.149
H3 P1 H5 92.149 H4 P1 H5 97.190
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 P -0.107      
2 H -0.005      
3 H -0.005      
4 H 0.059      
5 H 0.059      


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 -1.058 1.058
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.015 0.000 0.000
y 0.000 -18.773 0.000
z 0.000 0.000 -17.612
Traceless
 xyz
x 2.178 0.000 0.000
y 0.000 -1.959 0.000
z 0.000 0.000 -0.218
Polar
3z2-r2-0.437
x2-y22.758
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.178 0.000 0.000
y 0.000 5.408 0.000
z 0.000 0.000 2.585


<r2> (average value of r2) Å2
<r2> 19.953
(<r2>)1/2 4.467