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

using model chemistry: PBE1PBE/STO-3G

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 PBE1PBE/STO-3G
 hartrees
Energy at 0K-1955.982625
Energy at 298.15K-1955.983074
HF Energy-1955.982625
Nuclear repulsion energy81.097061
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 PBE1PBE/STO-3G
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 1480 1306 10.71      

Unscaled Zero Point Vibrational Energy (zpe) 740.0 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 652.8 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 PBE1PBE/STO-3G
B
0.72241

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.261
N2 0.000 0.000 -1.155

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.4160
N21.4160

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.418      
2 N -0.418      


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 0.327 0.327
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.142 0.000 0.000
y 0.000 -19.489 0.000
z 0.000 0.000 -23.514
Traceless
 xyz
x 0.360 0.000 0.000
y 0.000 2.838 0.000
z 0.000 0.000 -3.198
Polar
3z2-r2-6.396
x2-y2-1.653
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.059 0.000 0.000
y 0.000 2.784 0.000
z 0.000 0.000 3.795


<r2> (average value of r2) Å2
<r2> 24.804
(<r2>)1/2 4.980

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBE1PBE/STO-3G
 hartrees
Energy at 0K-1956.023254
Energy at 298.15K-1956.023714
HF Energy-1956.023254
Nuclear repulsion energy84.702266
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 PBE1PBE/STO-3G
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 1824 1609 10.29      

Unscaled Zero Point Vibrational Energy (zpe) 912.0 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 804.4 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 PBE1PBE/STO-3G
B
0.78807

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.250
N2 0.000 0.000 -1.106

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.3557
N21.3557

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.444      
2 N -0.444      


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 1.299 1.299
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.991 0.000 0.000
y 0.000 -20.991 0.000
z 0.000 0.000 -20.881
Traceless
 xyz
x -0.055 0.000 0.000
y 0.000 -0.055 0.000
z 0.000 0.000 0.111
Polar
3z2-r20.221
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 1.905 0.000 0.000
y 0.000 1.905 0.000
z 0.000 0.000 3.807


<r2> (average value of r2) Å2
<r2> 23.583
(<r2>)1/2 4.856