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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G**
 hartrees
Energy at 0K-164.599440
Energy at 298.15K 
HF Energy-164.599440
Nuclear repulsion energy61.723074
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 PBE1PBE/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' 3528 3363 35.39 124.81 0.33 0.49
2 A' 2355 2245 345.87 15.71 0.33 0.50
3 A' 1341 1278 0.54 20.64 0.32 0.49
4 A' 1210 1153 222.11 5.24 0.50 0.66
5 A' 542 517 16.75 0.62 0.54 0.71
6 A" 619 590 0.25 0.03 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4797.5 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 4572.5 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 PBE1PBE/6-31G**
ABC
20.51501 0.40389 0.39610

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.084 -1.124 0.000
N2 0.000 0.108 0.000
N3 -0.236 1.217 0.000
H4 1.064 -1.409 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.23462.36331.0199
N21.23461.13461.8522
N32.36331.13462.9301
H41.01991.85222.9301

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 171.897 N2 N1 H4 110.112
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.500      
2 N 0.366      
3 N -0.239      
4 H 0.373      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.852 -0.726 0.000 1.989
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.439 -2.130 0.000
y -2.130 -19.259 0.000
z 0.000 0.000 -16.917
Traceless
 xyz
x 3.650 -2.130 0.000
y -2.130 -3.581 0.000
z 0.000 0.000 -0.068
Polar
3z2-r2-0.136
x2-y24.821
xy-2.130
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.854 -0.790 0.000
y -0.790 5.239 0.000
z 0.000 0.000 1.263


<r2> (average value of r2) Å2
<r2> 33.394
(<r2>)1/2 5.779