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

using model chemistry: HSEh1PBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HSEh1PBE/3-21G
 hartrees
Energy at 0K-163.664152
Energy at 298.15K 
HF Energy-163.664152
Nuclear repulsion energy60.766348
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 HSEh1PBE/3-21G
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' 3359 3235 20.61 144.89 0.35 0.52
2 A' 2134 2056 197.79 7.27 0.30 0.46
3 A' 1279 1232 50.19 20.35 0.56 0.72
4 A' 1055 1017 203.37 9.43 0.18 0.31
5 A' 519 500 15.08 0.44 0.59 0.74
6 A" 570 549 1.69 0.11 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4457.9 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 4294.3 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 HSEh1PBE/3-21G
ABC
19.97132 0.39146 0.38394

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.230 -1.120 0.000
N2 0.000 0.116 0.000
N3 -0.408 1.191 0.000
H4 1.245 -1.310 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.25672.39751.0332
N21.25671.15041.8927
N32.39751.15042.9980
H41.03321.89272.9980

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 169.779 N2 N1 H4 111.125
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.328      
2 N 0.014      
3 N -0.032      
4 H 0.345      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.055 -0.487 0.000 2.112
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -13.961 -1.659 0.000
y -1.659 -19.554 0.000
z 0.000 0.000 -16.851
Traceless
 xyz
x 4.241 -1.659 0.000
y -1.659 -4.148 0.000
z 0.000 0.000 -0.093
Polar
3z2-r2-0.187
x2-y25.593
xy-1.659
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.791 -1.282 0.000
y -1.282 4.616 0.000
z 0.000 0.000 0.778


<r2> (average value of r2) Å2
<r2> 34.093
(<r2>)1/2 5.839