return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3LYP/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 B3LYP/6-31G*
 hartrees
Energy at 0K-1977.545347
Energy at 298.15K-1977.545608
HF Energy-1977.545347
Nuclear repulsion energy61.084555
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/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 588 565 11.64      

Unscaled Zero Point Vibrational Energy (zpe) 294.0 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 282.3 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/6-31G*
B
0.40986

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.346
N2 0.000 0.000 -1.534

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8799
N21.8799

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.372      
2 N -0.372      


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 2.474 2.474
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.606 0.000 0.000
y 0.000 -22.401 0.000
z 0.000 0.000 -24.975
Traceless
 xyz
x 4.082 0.000 0.000
y 0.000 -0.110 0.000
z 0.000 0.000 -3.971
Polar
3z2-r2-7.942
x2-y22.795
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.319 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 7.363


<r2> (average value of r2) Å2
<r2> 34.126
(<r2>)1/2 5.842

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/6-31G*
 hartrees
Energy at 0K-1977.498006
Energy at 298.15K-1977.498351
HF Energy-1977.498006
Nuclear repulsion energy66.366110
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/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 762 731 2.04      

Unscaled Zero Point Vibrational Energy (zpe) 380.7 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 365.6 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 B3LYP/6-31G*
B
0.48380

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.319
N2 0.000 0.000 -1.412

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7303
N21.7303

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.429      
2 N -0.429      


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 4.026 4.026
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.936 0.000 0.000
y 0.000 -21.936 0.000
z 0.000 0.000 -21.518
Traceless
 xyz
x -0.209 0.000 0.000
y 0.000 -0.209 0.000
z 0.000 0.000 0.418
Polar
3z2-r20.836
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 9.830 0.000 0.000
y 0.000 9.830 0.000
z 0.000 0.000 7.067


<r2> (average value of r2) Å2
<r2> 30.710
(<r2>)1/2 5.542