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

using model chemistry: HF/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 HF/6-31G(2df,p)
 hartrees
Energy at 0K-163.861844
Energy at 298.15K 
HF Energy-163.861844
Nuclear repulsion energy62.961490
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 HF/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' 3721 3369 41.26 106.75 0.30 0.47
2 A' 2504 2267 533.22 52.69 0.29 0.45
3 A' 1449 1312 55.01 12.60 0.46 0.63
4 A' 1253 1135 250.25 3.87 0.04 0.08
5 A' 599 543 18.07 0.78 0.59 0.74
6 A" 704 637 4.43 0.03 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 5115.0 cm-1
Scaled (by 0.9055) Zero Point Vibrational Energy (zpe) 4631.7 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 HF/6-31G(2df,p)
ABC
20.60072 0.41933 0.41096

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.077 -1.114 0.000
N2 0.000 0.118 0.000
N3 -0.045 1.208 0.000
H4 0.857 -1.485 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.23412.32241.0050
N21.23411.09141.8173
N32.32241.09142.8402
H41.00501.81732.8402

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 174.038 N2 N1 H4 108.072
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.527      
2 N 0.427      
3 N -0.210      
4 H 0.309      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.630 -0.213 0.000 1.644
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.177 -2.649 0.000
y -2.649 -18.920 0.000
z 0.000 0.000 -17.066
Traceless
 xyz
x 2.816 -2.649 0.000
y -2.649 -2.799 0.000
z 0.000 0.000 -0.017
Polar
3z2-r2-0.034
x2-y23.743
xy-2.649
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.919 -0.257 0.000
y -0.257 5.147 0.000
z 0.000 0.000 1.581


<r2> (average value of r2) Å2
<r2> 32.649
(<r2>)1/2 5.714