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All results from a given calculation for GaN (Gallium mononitride)

using model chemistry: BLYP/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 BLYP/3-21G
 hartrees
Energy at 0K-1969.795479
Energy at 298.15K-1969.795814
HF Energy-1969.795479
Nuclear repulsion energy63.893389
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 BLYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σ 730 726 2.81      

Unscaled Zero Point Vibrational Energy (zpe) 365.0 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 363.0 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 BLYP/3-21G
B
0.44842

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.331
N2 0.000 0.000 -1.466

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7972
N21.7972

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.337      
2 N -0.337      


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 1.641 1.641
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.564 0.000 0.000
y 0.000 -19.505 0.000
z 0.000 0.000 -25.360
Traceless
 xyz
x -0.132 0.000 0.000
y 0.000 4.457 0.000
z 0.000 0.000 -4.325
Polar
3z2-r2-8.651
x2-y2-3.059
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.694 0.000 0.000
y 0.000 4.016 0.000
z 0.000 0.000 6.876


<r2> (average value of r2) Å2
<r2> 32.484
(<r2>)1/2 5.699

State 2 (1Σ)

Jump to S1C1
Energy calculated at BLYP/3-21G
 hartrees
Energy at 0K-1969.773941
Energy at 298.15K-1969.774329
HF Energy-1969.773941
Nuclear repulsion energy68.514415
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 BLYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σ 890 885 0.95      

Unscaled Zero Point Vibrational Energy (zpe) 444.9 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 442.4 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 BLYP/3-21G
B
0.51563

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.309
N2 0.000 0.000 -1.367

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.6760
N21.6760

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.388      
2 N -0.388      


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 3.149 3.149
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.041 0.000 0.000
y 0.000 -22.041 0.000
z 0.000 0.000 -21.927
Traceless
 xyz
x -0.057 0.000 0.000
y 0.000 -0.057 0.000
z 0.000 0.000 0.115
Polar
3z2-r20.229
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 5.674 0.000 0.000
y 0.000 5.674 0.000
z 0.000 0.000 6.193


<r2> (average value of r2) Å2
<r2> 29.784
(<r2>)1/2 5.457