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

using model chemistry: mPW1PW91/6-31G

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 mPW1PW91/6-31G
 hartrees
Energy at 0K-296.987128
Energy at 298.15K-296.987046
HF Energy-296.987128
Nuclear repulsion energy25.740186
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 mPW1PW91/6-31G
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 669 633 5.23      

Unscaled Zero Point Vibrational Energy (zpe) 334.5 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 316.6 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 mPW1PW91/6-31G
B
0.52248

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

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 -1.216

Atom - Atom Distances (Å)
  Al1 N2
Al11.8708
N21.8708

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 mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.477      
2 N -0.477      


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 2.415 2.415
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.837 0.000 0.000
y 0.000 -18.718 0.000
z 0.000 0.000 -21.401
Traceless
 xyz
x 4.223 0.000 0.000
y 0.000 -0.100 0.000
z 0.000 0.000 -4.124
Polar
3z2-r2-8.247
x2-y22.882
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.758 0.000 0.000
y 0.000 -24.359 0.000
z 0.000 0.000 8.819


<r2> (average value of r2) Å2
<r2> 27.574
(<r2>)1/2 5.251

State 2 (1Σ)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-296.934867
Energy at 298.15K-296.934862
Nuclear repulsion energy27.901593
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 mPW1PW91/6-31G
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 879 832 0.88      

Unscaled Zero Point Vibrational Energy (zpe) 439.2 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 415.8 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 mPW1PW91/6-31G
B
0.61390

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.604
N2 0.000 0.000 -1.122

Atom - Atom Distances (Å)
  Al1 N2
Al11.7259
N21.7259

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 mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.554      
2 N -0.554      


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 4.314 4.314
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.002 0.000 0.000
y 0.000 -18.002 0.000
z 0.000 0.000 -16.726
Traceless
 xyz
x -0.638 0.000 0.000
y 0.000 -0.638 0.000
z 0.000 0.000 1.275
Polar
3z2-r22.551
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 11.951 0.000 0.000
y 0.000 11.951 0.000
z 0.000 0.000 7.898


<r2> (average value of r2) Å2
<r2> 24.531
(<r2>)1/2 4.953