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

using model chemistry: LSDA/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 LSDA/3-21G*
 hartrees
Energy at 0K-1967.262950
Energy at 298.15K-1967.263247
HF Energy-1967.262950
Nuclear repulsion energy62.054350
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 LSDA/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 650 638 3.17      

Unscaled Zero Point Vibrational Energy (zpe) 324.9 cm-1
Scaled (by 0.982) Zero Point Vibrational Energy (zpe) 319.1 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 LSDA/3-21G*
B
0.42298

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.341
N2 0.000 0.000 -1.510

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8505
N21.8505

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.184      
2 N -0.184      


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 1.735 1.735
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.853 0.000 0.000
y 0.000 -22.739 0.000
z 0.000 0.000 -24.024
Traceless
 xyz
x 3.529 0.000 0.000
y 0.000 -0.801 0.000
z 0.000 0.000 -2.728
Polar
3z2-r2-5.457
x2-y22.887
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.970 0.000 0.000
y 0.000 7.210 0.000
z 0.000 0.000 6.743


<r2> (average value of r2) Å2
<r2> 33.424
(<r2>)1/2 5.781

State 2 (1Σ)

Jump to S1C1
Energy calculated at LSDA/3-21G*
 hartrees
Energy at 0K-1967.234047
Energy at 298.15K-1967.234420
HF Energy-1967.234047
Nuclear repulsion energy67.265648
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 LSDA/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 840 825 0.35      

Unscaled Zero Point Vibrational Energy (zpe) 420.1 cm-1
Scaled (by 0.982) Zero Point Vibrational Energy (zpe) 412.5 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 LSDA/3-21G*
B
0.49701

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.314
N2 0.000 0.000 -1.393

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7071
N21.7071

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.238      
2 N -0.238      


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 3.228 3.228
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.209 0.000 0.000
y 0.000 -22.209 0.000
z 0.000 0.000 -20.835
Traceless
 xyz
x -0.687 0.000 0.000
y 0.000 -0.687 0.000
z 0.000 0.000 1.374
Polar
3z2-r22.748
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 3.970 0.000 0.000
y 0.000 7.210 0.000
z 0.000 0.000 6.743


<r2> (average value of r2) Å2
<r2> 30.227
(<r2>)1/2 5.498