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All results from a given calculation for AlN (Aluminum nitride)

using model chemistry: B3LYP/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C*V 3Π
2 1 yes C*V 1Σ

State 1 (3Π)

Jump to S2C1
Energy calculated at B3LYP/6-31G
 hartrees
Energy at 0K-297.024619
Energy at 298.15K-297.024535
HF Energy-297.024619
Nuclear repulsion energy25.727391
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 B3LYP/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σ 666 640 5.45      

Unscaled Zero Point Vibrational Energy (zpe) 332.8 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 320.1 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 B3LYP/6-31G
B
0.52196

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.655
N2 0.000 0.000 -1.217

Atom - Atom Distances (Å)
  Al1 N2
Al11.8717
N21.8717

picture of Aluminum nitride state 1 conformation 1
More geometry information
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.462      
2 N -0.462      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 2.430 2.430
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.868 0.000 0.000
y 0.000 -18.785 0.000
z 0.000 0.000 -21.380
Traceless
 xyz
x 4.215 0.000 0.000
y 0.000 -0.161 0.000
z 0.000 0.000 -4.054
Polar
3z2-r2-8.108
x2-y22.917
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.648 0.000 0.000
y 0.000 66.230 0.000
z 0.000 0.000 8.456


<r2> (average value of r2) Å2
<r2> 27.606
(<r2>)1/2 5.254

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/6-31G
 hartrees
Energy at 0K-296.978369
Energy at 298.15K-296.978361
Nuclear repulsion energy27.824360
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 B3LYP/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σ 866 833 0.82      

Unscaled Zero Point Vibrational Energy (zpe) 432.9 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 416.4 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 B3LYP/6-31G
B
0.61051

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.606
N2 0.000 0.000 -1.125

Atom - Atom Distances (Å)
  Al1 N2
Al11.7307
N21.7307

picture of Aluminum nitride state 2 conformation 1
More geometry information
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.532      
2 N -0.532      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 4.174 4.174
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.086 0.000 0.000
y 0.000 -18.086 0.000
z 0.000 0.000 -16.826
Traceless
 xyz
x -0.630 0.000 0.000
y 0.000 -0.630 0.000
z 0.000 0.000 1.260
Polar
3z2-r22.521
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.953 0.000 0.000
y 0.000 11.953 0.000
z 0.000 0.000 7.719


<r2> (average value of r2) Å2
<r2> 24.662
(<r2>)1/2 4.966