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

using model chemistry: PBE1PBE/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 PBE1PBE/3-21G*
 hartrees
Energy at 0K-1969.616195
Energy at 298.15K-1969.616472
HF Energy-1969.616195
Nuclear repulsion energy60.723991
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/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 615 590 6.55      

Unscaled Zero Point Vibrational Energy (zpe) 307.4 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 295.0 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 PBE1PBE/3-21G*
B
0.40504

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.348
N2 0.000 0.000 -1.543

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8910
N21.8910

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/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.257      
2 N -0.257      


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 1.843 1.843
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.663 0.000 0.000
y 0.000 -19.769 0.000
z 0.000 0.000 -24.734
Traceless
 xyz
x -0.411 0.000 0.000
y 0.000 3.929 0.000
z 0.000 0.000 -3.518
Polar
3z2-r2-7.036
x2-y2-2.893
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x -10.711 0.000 0.000
y 0.000 4.282 0.000
z 0.000 0.000 7.258


<r2> (average value of r2) Å2
<r2> 34.405
(<r2>)1/2 5.866

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBE1PBE/3-21G*
 hartrees
Energy at 0K-1969.562164
Energy at 298.15K-1969.562522
HF Energy-1969.562164
Nuclear repulsion energy66.068434
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/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 793 761 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 396.4 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 380.5 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 PBE1PBE/3-21G*
B
0.47947

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.320
N2 0.000 0.000 -1.418

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7381
N21.7381

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/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.306      
2 N -0.306      


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 3.490 3.490
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.112 0.000 0.000
y 0.000 -22.112 0.000
z 0.000 0.000 -21.352
Traceless
 xyz
x -0.380 0.000 0.000
y 0.000 -0.380 0.000
z 0.000 0.000 0.760
Polar
3z2-r21.520
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 9.499 0.000 0.000
y 0.000 9.499 0.000
z 0.000 0.000 6.819


<r2> (average value of r2) Å2
<r2> 30.904
(<r2>)1/2 5.559