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

using model chemistry: B3LYPultrafine/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYPultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-164.813937
Energy at 298.15K 
HF Energy-164.813937
Nuclear repulsion energy61.398125
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 B3LYPultrafine/aug-cc-pVDZ
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' 3476 3373 45.48 126.88 0.26 0.41
2 A' 2268 2200 384.47 24.90 0.39 0.56
3 A' 1297 1259 2.36 31.36 0.19 0.32
4 A' 1189 1154 213.47 1.82 0.38 0.55
5 A' 527 512 13.43 0.33 0.30 0.46
6 A" 591 574 0.89 0.03 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 4673.9 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 4535.6 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 B3LYPultrafine/aug-cc-pVDZ
ABC
20.24545 0.39956 0.39182

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.130 -1.127 0.000
N2 0.000 0.112 0.000
N3 -0.290 1.211 0.000
H4 1.123 -1.375 0.000

Atom - Atom Distances (Å)
  N1 N2 N3 H4
N11.24502.37561.0236
N21.24501.13761.8631
N32.37561.13762.9476
H41.02361.86312.9476

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 171.202 N2 N1 H4 110.041
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.145      
2 N 0.615      
3 N -0.440      
4 H -0.029      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.669 -0.633 0.000 1.785
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.840 -1.770 0.000
y -1.770 -19.852 0.000
z 0.000 0.000 -17.429
Traceless
 xyz
x 3.801 -1.770 0.000
y -1.770 -3.717 0.000
z 0.000 0.000 -0.083
Polar
3z2-r2-0.166
x2-y25.012
xy-1.770
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.796 -0.870 0.000
y -0.870 6.135 0.000
z 0.000 0.000 2.460


<r2> (average value of r2) Å2
<r2> 33.959
(<r2>)1/2 5.827