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

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-343.654994
Energy at 298.15K-343.659424
HF Energy-343.654994
Nuclear repulsion energy23.084048
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 mPW1PW91/6-31G**
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 2480 2359 25.57      
2 A1 1813 1725 8.07      
3 A1 1008 959 1.75      
4 A1 909 865 14.17      
5 A2 1217 1158 0.00      
6 B1 2498 2377 59.07      
7 B1 849 808 16.20      
8 B2 1470 1399 479.57      
9 B2 1132 1077 143.19      

Unscaled Zero Point Vibrational Energy (zpe) 6687.8 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 6363.4 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 mPW1PW91/6-31G**
ABC
4.25579 2.68591 2.40766

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
P1 0.000 0.000 0.085
H2 0.000 1.520 0.190
H3 0.000 -1.520 0.190
H4 1.078 0.000 -0.826
H5 -1.078 0.000 -0.826

Atom - Atom Distances (Å)
  P1 H2 H3 H4 H5
P11.52391.52391.41121.4112
H21.52393.04052.12262.1226
H31.52393.04052.12262.1226
H41.41122.12262.12262.1564
H51.41122.12262.12262.1564

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 172.079 H2 P1 H4 92.554
H2 P1 H5 92.554 H3 P1 H4 92.554
H3 P1 H5 92.554 H4 P1 H5 99.644
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 P 0.037      
2 H -0.050      
3 H -0.050      
4 H 0.031      
5 H 0.031      


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 -0.683 0.683
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.305 0.000 0.000
y 0.000 -17.866 0.000
z 0.000 0.000 -16.869
Traceless
 xyz
x 2.062 0.000 0.000
y 0.000 -1.778 0.000
z 0.000 0.000 -0.284
Polar
3z2-r2-0.568
x2-y22.560
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.192 0.000 0.000
y 0.000 4.848 0.000
z 0.000 0.000 2.754


<r2> (average value of r2) Å2
<r2> 18.909
(<r2>)1/2 4.348