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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVTZ
 hartrees
Energy at 0K-164.682875
Energy at 298.15K 
HF Energy-164.682875
Nuclear repulsion energy61.400646
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 PBEPBEultrafine/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' 3413 3389 37.54 124.31 0.33 0.49
2 A' 2218 2203 292.28 13.64 0.41 0.58
3 A' 1271 1263 0.37 24.70 0.26 0.42
4 A' 1147 1139 194.43 3.09 0.55 0.71
5 A' 538 534 14.25 0.54 0.44 0.62
6 A" 600 595 0.19 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4593.3 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 4561.6 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 PBEPBEultrafine/cc-pVTZ
ABC
20.38427 0.39978 0.39209

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.128 -1.124 0.000
N2 0.000 0.108 0.000
N3 -0.288 1.213 0.000
H4 1.121 -1.384 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.23912.37441.0257
N21.23911.14211.8662
N32.37441.14212.9549
H41.02571.86622.9549

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 171.316 N2 N1 H4 110.621
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.249      
2 N 0.184      
3 N -0.109      
4 H 0.175      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.713 -0.886 0.000 1.928
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.520 -1.732 0.000
y -1.732 -19.312 0.000
z 0.000 0.000 -16.985
Traceless
 xyz
x 3.629 -1.732 0.000
y -1.732 -3.559 0.000
z 0.000 0.000 -0.069
Polar
3z2-r2-0.139
x2-y24.792
xy-1.732
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.313 -0.888 0.000
y -0.888 5.606 0.000
z 0.000 0.000 1.761


<r2> (average value of r2) Å2
<r2> 33.682
(<r2>)1/2 5.804