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

using model chemistry: mPW1PW91/6-311G*

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 mPW1PW91/6-311G*
 hartrees
Energy at 0K-297.039832
Energy at 298.15K-297.039786
HF Energy-297.039832
Nuclear repulsion energy26.810420
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 mPW1PW91/6-311G*
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 749 714 5.88      

Unscaled Zero Point Vibrational Energy (zpe) 374.3 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 357.2 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 mPW1PW91/6-311G*
B
0.56683

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.629
N2 0.000 0.000 -1.167

Atom - Atom Distances (Å)
  Al1 N2
Al11.7961
N21.7961

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 mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.420      
2 N -0.420      


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 2.413 2.413
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.675 0.000 0.000
y 0.000 -18.374 0.000
z 0.000 0.000 -20.781
Traceless
 xyz
x 3.902 0.000 0.000
y 0.000 -0.146 0.000
z 0.000 0.000 -3.756
Polar
3z2-r2-7.513
x2-y22.699
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.868 0.000 0.000
y 0.000 62.661 0.000
z 0.000 0.000 9.100


<r2> (average value of r2) Å2
<r2> 26.094
(<r2>)1/2 5.108

State 2 (1Σ)

Jump to S1C1
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-296.992225
Energy at 298.15K-296.992238
Nuclear repulsion energy28.755206
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 mPW1PW91/6-311G*
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 954 911 4.70      

Unscaled Zero Point Vibrational Energy (zpe) 477.1 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 455.4 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 mPW1PW91/6-311G*
B
0.65204

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.586
N2 0.000 0.000 -1.089

Atom - Atom Distances (Å)
  Al1 N2
Al11.6747
N21.6747

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 mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.465      
2 N -0.465      


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 4.357 4.357
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.778 0.000 0.000
y 0.000 -17.778 0.000
z 0.000 0.000 -16.324
Traceless
 xyz
x -0.727 0.000 0.000
y 0.000 -0.727 0.000
z 0.000 0.000 1.454
Polar
3z2-r22.908
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 10.383 0.000 0.000
y 0.000 10.383 0.000
z 0.000 0.000 8.106


<r2> (average value of r2) Å2
<r2> 23.561
(<r2>)1/2 4.854