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

using model chemistry: B2PLYP/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B2PLYP/6-31G(2df,p)
 hartrees
Energy at 0K-164.675417
Energy at 298.15K 
HF Energy-164.477112
Nuclear repulsion energy61.440536
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 B2PLYP/6-31G(2df,p)
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' 3526 3368 49.02 114.05 0.32 0.49
2 A' 2237 2136 271.03 8.39 0.30 0.46
3 A' 1285 1227 11.88 25.11 0.32 0.48
4 A' 1179 1126 201.03 3.10 0.20 0.34
5 A' 543 518 16.83 0.54 0.42 0.59
6 A" 607 580 0.01 0.10 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4688.4 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 4477.4 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 B2PLYP/6-31G(2df,p)
ABC
20.44884 0.40005 0.39237

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.119 -1.126 0.000
N2 0.000 0.108 0.000
N3 -0.277 1.215 0.000
H4 1.106 -1.380 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.24042.37481.0187
N21.24041.14111.8546
N32.37481.14112.9412
H41.01871.85462.9412

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 171.454 N2 N1 H4 109.975
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.428      
2 N 0.341      
3 N -0.211      
4 H 0.299      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.700 -0.761 0.000 1.862
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.427 -1.807 0.000
y -1.807 -19.118 -0.000
z 0.000 -0.000 -16.903
Traceless
 xyz
x 3.583 -1.807 0.000
y -1.807 -3.453 -0.000
z 0.000 -0.000 -0.130
Polar
3z2-r2-0.261
x2-y24.691
xy-1.807
xz0.000
yz-0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.177 -0.856 0.000
y -0.856 5.297 0.000
z 0.000 0.000 1.621


<r2> (average value of r2) Å2
<r2> 33.568
(<r2>)1/2 5.794