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All results from a given calculation for HN3 (hydrogen azide)

using model chemistry: M06-2X/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at M06-2X/TZVP
 hartrees
Energy at 0K-164.771597
Energy at 298.15K 
HF Energy-164.771597
Nuclear repulsion energy62.194996
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 M06-2X/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 A' 3527 3338 58.96 118.86 0.31 0.47
2 A' 2355 2228 481.58 34.05 0.36 0.53
3 A' 1319 1248 3.72 23.14 0.30 0.46
4 A' 1191 1126 241.67 4.55 0.47 0.64
5 A' 543 514 18.58 0.43 0.54 0.70
6 A" 601 569 0.33 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4767.8 cm-1
Scaled (by 0.9462) Zero Point Vibrational Energy (zpe) 4511.3 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 M06-2X/TZVP
ABC
20.33832 0.41014 0.40203

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.082 -1.119 0.000
N2 0.000 0.113 0.000
N3 -0.233 1.205 0.000
H4 1.062 -1.394 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.23442.34541.0185
N21.23441.11711.8434
N32.34541.11712.9040
H41.01851.84342.9040

picture of hydrogen azide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 N3 171.731 N2 N1 H4 109.440
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.480      
2 N 0.462      
3 N -0.223      
4 H 0.241      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.864 -0.406 0.000 1.908
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.711 -2.159 0.000
y -2.159 -20.097 0.000
z 0.000 0.000 -17.257
Traceless
 xyz
x 3.966 -2.159 0.000
y -2.159 -4.113 0.000
z 0.000 0.000 0.147
Polar
3z2-r20.294
x2-y25.385
xy-2.159
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.079 -0.766 0.000
y -0.766 5.859 0.000
z 0.000 0.000 1.729


<r2> (average value of r2) Å2
<r2> 33.359
(<r2>)1/2 5.776