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

using model chemistry: HSEh1PBE/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes TD 2A1
Energy calculated at HSEh1PBE/TZVP
 hartrees
Energy at 0K-57.010505
Energy at 298.15K 
HF Energy-57.010505
Nuclear repulsion energy15.913647
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 HSEh1PBE/TZVP
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 2897 2782 0.00 2269.24 0.00 0.00
2 E 1510 1450 0.00 2470.59 0.75 0.86
2 E 1510 1450 0.00 2470.59 0.75 0.86
3 T2 2678 2571 1728.62 6249.81 0.75 0.86
3 T2 2678 2571 1728.62 6249.81 0.75 0.86
3 T2 2678 2571 1728.62 6249.81 0.75 0.86
4 T2 1200 1152 0.05 1331.83 0.75 0.86
4 T2 1200 1152 0.05 1331.83 0.75 0.86
4 T2 1200 1152 0.05 1331.83 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 8774.6 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 8424.5 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 HSEh1PBE/TZVP
ABC
5.65415 5.65415 5.65415

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is Td

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
H2 0.608 0.608 0.608
H3 -0.608 -0.608 0.608
H4 -0.608 0.608 -0.608
H5 0.608 -0.608 -0.608

Atom - Atom Distances (Å)
  N1 H2 H3 H4 H5
N11.05331.05331.05331.0533
H21.05331.72001.72001.7200
H31.05331.72001.72001.7200
H41.05331.72001.72001.7200
H51.05331.72001.72001.7200

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 HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.341      
2 H -0.085      
3 H -0.085      
4 H -0.085      
5 H -0.085      


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 -11.886 0.000 0.000
y 0.000 -11.886 0.000
z 0.000 0.000 -11.886
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 10.712 0.000 0.000
y 0.000 10.712 0.000
z 0.000 0.000 10.712


<r2> (average value of r2) Å2
<r2> 11.862
(<r2>)1/2 3.444