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

using model chemistry: PBEPBE/6-31G

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 PBEPBE/6-31G
 hartrees
Energy at 0K-1977.059411
Energy at 298.15K-1977.059683
HF Energy-1977.059411
Nuclear repulsion energy61.316652
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 PBEPBE/6-31G
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 605 596 6.98      

Unscaled Zero Point Vibrational Energy (zpe) 302.2 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 298.1 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 PBEPBE/6-31G
B
0.41298

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.345
N2 0.000 0.000 -1.528

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8728
N21.8728

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.414      
2 N -0.414      


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 2.317 2.317
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.514 0.000 0.000
y 0.000 -22.502 0.000
z 0.000 0.000 -25.807
Traceless
 xyz
x 4.641 0.000 0.000
y 0.000 0.158 0.000
z 0.000 0.000 -4.799
Polar
3z2-r2-9.597
x2-y22.988
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.975 0.000 0.000
y 0.000 7.456 0.000
z 0.000 0.000 7.560


<r2> (average value of r2) Å2
<r2> 34.148
(<r2>)1/2 5.844

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBE/6-31G
 hartrees
Energy at 0K-1977.027008
Energy at 298.15K-1977.027376
HF Energy-1977.027008
Nuclear repulsion energy66.597538
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 PBEPBE/6-31G
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 823 811 2.81      

Unscaled Zero Point Vibrational Energy (zpe) 411.3 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 405.6 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 PBEPBE/6-31G
B
0.48718

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.318
N2 0.000 0.000 -1.407

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7243
N21.7243

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.459      
2 N -0.459      


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 3.870 3.870
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.010 0.000 0.000
y 0.000 -22.010 0.000
z 0.000 0.000 -22.257
Traceless
 xyz
x 0.124 0.000 0.000
y 0.000 0.124 0.000
z 0.000 0.000 -0.247
Polar
3z2-r2-0.494
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 3.975 0.000 0.000
y 0.000 7.456 0.000
z 0.000 0.000 7.560


<r2> (average value of r2) Å2
<r2> 30.776
(<r2>)1/2 5.548