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

using model chemistry: B3PW91/3-21G

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 B3PW91/3-21G
 hartrees
Energy at 0K-295.344503
Energy at 298.15K-295.344445
HF Energy-295.344503
Nuclear repulsion energy26.011964
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 B3PW91/3-21G
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 721 693 0.93      

Unscaled Zero Point Vibrational Energy (zpe) 360.5 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 346.5 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 B3PW91/3-21G
B
0.53357

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.648
N2 0.000 0.000 -1.203

Atom - Atom Distances (Å)
  Al1 N2
Al11.8513
N21.8513

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 B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.393      
2 N -0.393      


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 1.634 1.634
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.948 0.000 0.000
y 0.000 -18.936 0.000
z 0.000 0.000 -21.508
Traceless
 xyz
x 4.274 0.000 0.000
y 0.000 -0.208 0.000
z 0.000 0.000 -4.066
Polar
3z2-r2-8.133
x2-y22.988
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.855 0.000 0.000
y 0.000 47.070 0.000
z 0.000 0.000 8.321


<r2> (average value of r2) Å2
<r2> 27.334
(<r2>)1/2 5.228

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-295.298719
Energy at 298.15K-295.298728
Nuclear repulsion energy28.001476
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 B3PW91/3-21G
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 933 897 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 466.3 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 448.2 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 B3PW91/3-21G
B
0.61831

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.602
N2 0.000 0.000 -1.118

Atom - Atom Distances (Å)
  Al1 N2
Al11.7197
N21.7197

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 B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.456      
2 N -0.456      


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 3.535 3.535
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.219 0.000 0.000
y 0.000 -18.219 0.000
z 0.000 0.000 -17.004
Traceless
 xyz
x -0.608 0.000 0.000
y 0.000 -0.608 0.000
z 0.000 0.000 1.216
Polar
3z2-r22.431
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 9.994 0.000 0.000
y 0.000 9.994 0.000
z 0.000 0.000 7.330


<r2> (average value of r2) Å2
<r2> 24.583
(<r2>)1/2 4.958