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All results from a given calculation for NH4 (Ammonium radical)

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes TD 2A1
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-56.954843
Energy at 298.15K 
HF Energy-56.954843
Nuclear repulsion energy15.333668
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/6-31G(2df,p)
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 2555 2528 0.00 374.06 0.00 0.00
2 E 1277 1264 0.00 391.73 0.75 0.86
2 E 1277 1264 0.00 391.73 0.75 0.86
3 T2 1887 1868 1731.06 2278.70 0.75 0.86
3 T2 1887 1868 1731.06 2278.70 0.75 0.86
3 T2 1887 1868 1731.06 2278.70 0.75 0.86
4 T2 562 557 805.80 1740.30 0.75 0.86
4 T2 562 557 805.80 1740.30 0.75 0.86
4 T2 562 557 805.80 1740.30 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 6229.3 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 6165.2 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/6-31G(2df,p)
ABC
5.24953 5.24953 5.24953

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is Td

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
H2 0.631 0.631 0.631
H3 -0.631 -0.631 0.631
H4 -0.631 0.631 -0.631
H5 0.631 -0.631 -0.631

Atom - Atom Distances (Å)
  N1 H2 H3 H4 H5
N11.09311.09311.09311.0931
H21.09311.78501.78501.7850
H31.09311.78501.78501.7850
H41.09311.78501.78501.7850
H51.09311.78501.78501.7850

picture of Ammonium radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H2 N1 H3 109.471 H2 N1 H4 109.471
H2 N1 H5 109.471 H3 N1 H4 109.471
H3 N1 H5 109.471 H4 N1 H5 109.471
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.220      
2 H 0.055      
3 H 0.055      
4 H 0.055      
5 H 0.055      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -9.984 0.000 0.000
y 0.000 -9.984 0.000
z 0.000 0.000 -9.984
Traceless
 xyz
x 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000
Polar
3z2-r20.000
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.480 0.000 0.000
y 0.000 5.480 0.000
z 0.000 0.000 5.480


<r2> (average value of r2) Å2
<r2> 11.016
(<r2>)1/2 3.319