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

using model chemistry: PBE1PBE/daug-cc-pVTZ

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/daug-cc-pVTZ
 hartrees
Energy at 0K-164.668023
Energy at 298.15K 
HF Energy-164.668023
Nuclear repulsion energy62.168698
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/daug-cc-pVTZ
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' 3531 3531 55.55 117.50 0.26 0.41
2 A' 2325 2325 425.82 26.21 0.36 0.53
3 A' 1324 1324 2.18 30.56 0.15 0.26
4 A' 1199 1199 220.81 1.87 0.75 0.85
5 A' 561 561 15.42 0.51 0.24 0.39
6 A" 633 633 0.14 0.02 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4786.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 4786.4 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 PBE1PBE/daug-cc-pVTZ
ABC
20.76145 0.40965 0.40172

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/daug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.059 -1.118 0.000
N2 0.000 0.109 0.000
N3 -0.206 1.213 0.000
H4 1.028 -1.426 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.22922.34611.0168
N21.22921.12241.8478
N32.34611.12242.9130
H41.01681.84782.9130

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 172.187 N2 N1 H4 110.365
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.803      
2 N 1.445      
3 N -1.040      
4 H 0.398      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.625 -0.731 0.000 1.781
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.882 -2.079 0.000
y -2.079 -19.398 0.000
z 0.000 0.000 -17.243
Traceless
 xyz
x 3.439 -2.079 0.000
y -2.079 -3.336 0.000
z 0.000 0.000 -0.103
Polar
3z2-r2-0.207
x2-y24.517
xy-2.079
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.718 -0.600 0.000
y -0.600 6.019 0.000
z 0.000 0.000 2.503


<r2> (average value of r2) Å2
<r2> 33.273
(<r2>)1/2 5.768