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

using model chemistry: B3LYP/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-164.795495
Energy at 298.15K 
HF Energy-164.795495
Nuclear repulsion energy61.708200
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 B3LYP/6-31G(2df,p)
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' 3487 3365 37.59 118.46 0.32 0.48
2 A' 2287 2207 307.16 15.09 0.30 0.47
3 A' 1307 1261 4.26 21.82 0.32 0.48
4 A' 1191 1150 205.99 3.04 0.29 0.45
5 A' 545 526 14.48 0.56 0.51 0.68
6 A" 617 595 0.10 0.06 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4716.3 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 4551.2 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 B3LYP/6-31G(2df,p)
ABC
20.44034 0.40363 0.39582

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.093 -1.124 0.000
N2 0.000 0.110 0.000
N3 -0.247 1.215 0.000
H4 1.076 -1.401 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.23782.36391.0205
N21.23781.13231.8544
N32.36391.13232.9310
H41.02051.85442.9310

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 171.722 N2 N1 H4 110.029
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.438      
2 N 0.400      
3 N -0.249      
4 H 0.287      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.667 -0.756 0.000 1.830
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.450 -1.865 0.000
y -1.865 -19.094 0.000
z 0.000 0.000 -16.811
Traceless
 xyz
x 3.503 -1.865 0.000
y -1.865 -3.463 0.000
z 0.000 0.000 -0.039
Polar
3z2-r2-0.079
x2-y24.644
xy-1.865
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.149 -0.792 0.000
y -0.792 5.247 0.000
z 0.000 0.000 1.613


<r2> (average value of r2) Å2
<r2> 33.357
(<r2>)1/2 5.776