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

using model chemistry: mPW1PW91/6-31+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 mPW1PW91/6-31+G**
 hartrees
Energy at 0K-164.746691
Energy at 298.15K 
HF Energy-164.746691
Nuclear repulsion energy61.744001
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 mPW1PW91/6-31+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' 3553 3382 55.39 115.11 0.30 0.46
2 A' 2336 2224 423.72 24.11 0.41 0.58
3 A' 1326 1262 4.71 26.03 0.24 0.39
4 A' 1188 1131 219.26 4.99 0.66 0.79
5 A' 538 512 18.21 0.26 0.20 0.33
6 A" 607 577 0.43 0.05 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4774.1 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 4544.0 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 mPW1PW91/6-31+G**
ABC
20.60103 0.40405 0.39628

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.110 -1.122 0.000
N2 0.000 0.109 0.000
N3 -0.266 1.211 0.000
H4 1.093 -1.388 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.23562.36231.0181
N21.23561.13321.8538
N32.36231.13322.9328
H41.01811.85382.9328

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 171.527 N2 N1 H4 110.307
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -1.017      
2 N 0.945      
3 N -0.245      
4 H 0.317      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.900 -0.646 0.000 2.006
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.623 -2.114 0.000
y -2.114 -19.891 0.000
z 0.000 0.000 -17.333
Traceless
 xyz
x 3.989 -2.114 0.000
y -2.114 -3.913 0.000
z 0.000 0.000 -0.076
Polar
3z2-r2-0.151
x2-y25.268
xy-2.114
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.177 -0.813 0.000
y -0.813 6.023 0.000
z 0.000 0.000 1.901


<r2> (average value of r2) Å2
<r2> 33.644
(<r2>)1/2 5.800