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

using model chemistry: B3LYP/SDD

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 B3LYP/SDD
 hartrees
Energy at 0K-56.704158
Energy at 298.15K-56.704381
HF Energy-56.704158
Nuclear repulsion energy5.782121
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 B3LYP/SDD
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 531 510 14.68      

Unscaled Zero Point Vibrational Energy (zpe) 265.2 cm-1
Scaled (by 0.9613) Zero Point Vibrational Energy (zpe) 255.0 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 B3LYP/SDD
B
0.39213

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/SDD

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.354
N2 0.000 0.000 -1.568

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.9219
N21.9219

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.443      
2 N -0.443      


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 2.763 2.763
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.776 0.000 0.000
y 0.000 -13.857 0.000
z 0.000 0.000 -20.910
Traceless
 xyz
x 0.607 0.000 0.000
y 0.000 4.986 0.000
z 0.000 0.000 -5.593
Polar
3z2-r2-11.186
x2-y2-2.919
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x -17.988 0.000 0.000
y 0.000 4.009 0.000
z 0.000 0.000 7.809


<r2> (average value of r2) Å2
<r2> 28.315
(<r2>)1/2 5.321

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/SDD
 hartrees
Energy at 0K-56.651782
Energy at 298.15K-56.652108
HF Energy-56.651782
Nuclear repulsion energy6.324795
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 B3LYP/SDD
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 711 684 2.61      

Unscaled Zero Point Vibrational Energy (zpe) 355.5 cm-1
Scaled (by 0.9613) Zero Point Vibrational Energy (zpe) 341.8 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 B3LYP/SDD
B
0.46919

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/SDD

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.324
N2 0.000 0.000 -1.433

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7570
N21.7570

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.493      
2 N -0.493      


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 4.162 4.162
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.254 0.000 0.000
y 0.000 -16.254 0.000
z 0.000 0.000 -17.352
Traceless
 xyz
x 0.549 0.000 0.000
y 0.000 0.549 0.000
z 0.000 0.000 -1.098
Polar
3z2-r2-2.196
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 11.266 0.000 0.000
y 0.000 11.266 0.000
z 0.000 0.000 7.547


<r2> (average value of r2) Å2
<r2> 25.076
(<r2>)1/2 5.008