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

using model chemistry: M06-2X/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 M06-2X/6-31G**
 hartrees
Energy at 0K-1977.500210
Energy at 298.15K-1977.500489
HF Energy-1977.500210
Nuclear repulsion energy61.244818
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 M06-2X/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 616 586 6.66      

Unscaled Zero Point Vibrational Energy (zpe) 308.2 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 292.9 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 M06-2X/6-31G**
B
0.41202

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/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 -1.530

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8750
N21.8750

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.421      
2 N -0.421      


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 2.773 2.773
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.732 0.000 0.000
y 0.000 -22.498 0.000
z 0.000 0.000 -25.892
Traceless
 xyz
x 4.463 0.000 0.000
y 0.000 0.314 0.000
z 0.000 0.000 -4.777
Polar
3z2-r2-9.555
x2-y22.766
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.383 0.000 0.000
y 0.000 11.616 0.000
z 0.000 0.000 7.437


<r2> (average value of r2) Å2
<r2> 34.258
(<r2>)1/2 5.853

State 2 (1Σ)

Jump to S1C1
Energy calculated at M06-2X/6-31G**
 hartrees
Energy at 0K-1977.442886
Energy at 298.15K-1977.443241
HF Energy-1977.442886
Nuclear repulsion energy66.170396
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 M06-2X/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 783 744 2.79      

Unscaled Zero Point Vibrational Energy (zpe) 391.3 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 371.9 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 M06-2X/6-31G**
B
0.48095

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G**

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 -1.416

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7354
N21.7354

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.506      
2 N -0.506      


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 4.791 4.791
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.011 0.000 0.000
y 0.000 -22.011 0.000
z 0.000 0.000 -22.356
Traceless
 xyz
x 0.173 0.000 0.000
y 0.000 0.173 0.000
z 0.000 0.000 -0.345
Polar
3z2-r2-0.690
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 8.024 0.000 0.000
y 0.000 8.024 0.000
z 0.000 0.000 7.115


<r2> (average value of r2) Å2
<r2> 31.017
(<r2>)1/2 5.569