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

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes TD 2A1
Energy calculated at PBE1PBE/6-31+G**
 hartrees
Energy at 0K-56.990448
Energy at 298.15K 
HF Energy-56.990448
Nuclear repulsion energy16.042788
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/6-31+G**
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 2976 2843 0.00 36768.34 0.00 0.00
2 E 1677 1602 0.00 737.66 0.75 0.86
2 E 1677 1602 0.00 737.66 0.75 0.86
3 T2 2941 2809 186.95 925.82 0.75 0.86
3 T2 2941 2809 186.95 925.82 0.75 0.86
3 T2 2941 2809 186.95 925.82 0.75 0.86
4 T2 1244 1188 505.85 1334.31 0.75 0.86
4 T2 1244 1188 505.85 1334.31 0.75 0.86
4 T2 1244 1188 505.85 1334.31 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 9440.9 cm-1
Scaled (by 0.9553) Zero Point Vibrational Energy (zpe) 9018.9 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/6-31+G**
ABC
5.74629 5.74629 5.74629

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

Point Group is Td

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
H2 0.603 0.603 0.603
H3 -0.603 -0.603 0.603
H4 -0.603 0.603 -0.603
H5 0.603 -0.603 -0.603

Atom - Atom Distances (Å)
  N1 H2 H3 H4 H5
N11.04481.04481.04481.0448
H21.04481.70611.70611.7061
H31.04481.70611.70611.7061
H41.04481.70611.70611.7061
H51.04481.70611.70611.7061

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 PBE1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -1.671      
2 H 0.418      
3 H 0.418      
4 H 0.418      
5 H 0.418      


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 -12.292 0.000 0.000
y 0.000 -12.292 0.000
z 0.000 0.000 -12.292
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 18.352 0.000 0.000
y 0.000 18.352 0.000
z 0.000 0.000 18.352


<r2> (average value of r2) Å2
<r2> 12.044
(<r2>)1/2 3.470