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

using model chemistry: wB97X-D/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at wB97X-D/6-31+G**
 hartrees
Energy at 0K-164.729434
Energy at 298.15K 
HF Energy-164.729434
Nuclear repulsion energy61.701228
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 wB97X-D/6-31+G**
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' 3558 3388 52.59 112.15 0.30 0.46
2 A' 2326 2215 442.06 26.75 0.41 0.59
3 A' 1318 1255 1.25 26.39 0.26 0.42
4 A' 1194 1137 231.05 4.30 0.49 0.66
5 A' 531 506 18.56 0.28 0.21 0.35
6 A" 598 570 0.24 0.06 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4762.9 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 4535.7 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 wB97X-D/6-31+G**
ABC
20.39043 0.40348 0.39565

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.100 -1.125 0.000
N2 0.000 0.111 0.000
N3 -0.255 1.213 0.000
H4 1.084 -1.391 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.23972.36471.0192
N21.23971.13131.8521
N32.36471.13132.9281
H41.01921.85212.9281

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 171.612 N2 N1 H4 109.772
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -1.020      
2 N 0.895      
3 N -0.191      
4 H 0.316      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.903 -0.559 0.000 1.984
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.641 -2.179 0.000
y -2.179 -19.957 0.000
z 0.000 0.000 -17.341
Traceless
 xyz
x 4.008 -2.179 0.000
y -2.179 -3.966 0.000
z 0.000 0.000 -0.042
Polar
3z2-r2-0.084
x2-y25.316
xy-2.179
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.171 -0.780 0.000
y -0.780 6.065 0.000
z 0.000 0.000 1.905


<r2> (average value of r2) Å2
<r2> 33.691
(<r2>)1/2 5.804