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

using model chemistry: HSEh1PBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HSEh1PBE/6-311G*
 hartrees
Energy at 0K-164.654978
Energy at 298.15K 
HF Energy-164.654978
Nuclear repulsion energy62.017317
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/6-311G*
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' 3533 3390 33.78 119.03 0.37 0.54
2 A' 2337 2243 368.19 16.80 0.39 0.56
3 A' 1332 1278 1.64 21.20 0.31 0.48
4 A' 1194 1145 228.30 5.42 0.51 0.68
5 A' 546 524 16.41 0.54 0.48 0.65
6 A" 621 596 0.03 0.01 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4781.3 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 4588.2 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 HSEh1PBE/6-311G*
ABC
20.84454 0.40763 0.39981

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.092 -1.118 0.000
N2 0.000 0.109 0.000
N3 -0.244 1.210 0.000
H4 1.067 -1.406 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.22992.35131.0169
N21.22991.12741.8531
N32.35131.12742.9259
H41.01691.85312.9259

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 171.770 N2 N1 H4 110.768
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.491      
2 N 0.296      
3 N -0.164      
4 H 0.359      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.895 -0.718 0.000 2.027
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.425 -2.135 0.000
y -2.135 -19.495 0.000
z 0.000 0.000 -16.975
Traceless
 xyz
x 3.810 -2.135 0.000
y -2.135 -3.795 0.000
z 0.000 0.000 -0.015
Polar
3z2-r2-0.030
x2-y25.070
xy-2.135
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.852 -0.794 0.000
y -0.794 5.353 0.000
z 0.000 0.000 1.361


<r2> (average value of r2) Å2
<r2> 33.255
(<r2>)1/2 5.767