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

using model chemistry: PBEPBE/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-164.682039
Energy at 298.15K 
HF Energy-164.682039
Nuclear repulsion energy61.415622
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/6-311+G(3df,2p)
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' 3421 3393 44.79 120.96 0.28 0.44
2 A' 2214 2196 331.51 18.33 0.40 0.57
3 A' 1270 1260 0.85 30.60 0.18 0.30
4 A' 1142 1132 196.69 2.64 0.75 0.86
5 A' 534 530 14.31 0.23 0.15 0.27
6 A" 595 590 1.14 0.01 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4588.0 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 4550.4 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/6-311+G(3df,2p)
ABC
20.47276 0.39991 0.39224

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.132 -1.123 0.000
N2 0.000 0.109 0.000
N3 -0.292 1.212 0.000
H4 1.124 -1.385 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.23902.37351.0258
N21.23901.14131.8696
N32.37351.14132.9584
H41.02581.86962.9584

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 171.266 N2 N1 H4 110.920
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.547      
2 N 0.706      
3 N -0.355      
4 H 0.196      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.690 -0.855 0.000 1.894
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.792 -1.785 0.000
y -1.785 -19.609 0.000
z 0.000 0.000 -17.385
Traceless
 xyz
x 3.705 -1.785 0.000
y -1.785 -3.521 0.000
z 0.000 0.000 -0.184
Polar
3z2-r2-0.368
x2-y24.817
xy-1.785
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.779 -0.842 0.000
y -0.842 6.175 0.000
z 0.000 0.000 2.486


<r2> (average value of r2) Å2
<r2> 33.881
(<r2>)1/2 5.821