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

using model chemistry: PBEPBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/6-31G*
 hartrees
Energy at 0K-164.617813
Energy at 298.15K 
HF Energy-164.617813
Nuclear repulsion energy60.946667
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*
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' 3396 3348 23.28 134.09 0.33 0.50
2 A' 2240 2208 252.15 10.29 0.35 0.51
3 A' 1283 1264 0.66 22.19 0.33 0.50
4 A' 1159 1142 196.48 5.66 0.48 0.65
5 A' 519 512 14.28 0.55 0.53 0.69
6 A" 584 576 0.08 0.06 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4590.5 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 4524.8 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*
ABC
20.08021 0.39400 0.38641

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.163 -1.127 0.000
N2 0.000 0.108 0.000
N3 -0.329 1.214 0.000
H4 1.166 -1.357 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.24552.39211.0299
N21.24551.15411.8724
N32.39211.15412.9742
H41.02991.87242.9742

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 170.925 N2 N1 H4 110.387
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.461      
2 N 0.345      
3 N -0.239      
4 H 0.355      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.875 -0.813 0.000 2.044
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.228 -1.741 0.000
y -1.741 -19.289 0.000
z 0.000 0.000 -16.891
Traceless
 xyz
x 3.863 -1.741 0.000
y -1.741 -3.730 0.000
z 0.000 0.000 -0.133
Polar
3z2-r2-0.266
x2-y25.061
xy-1.741
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.041 -1.052 0.000
y -1.052 5.212 0.000
z 0.000 0.000 1.284


<r2> (average value of r2) Å2
<r2> 33.928
(<r2>)1/2 5.825