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

using model chemistry: M06-2X/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-1977.753156
Energy at 298.15K-1977.753459
HF Energy-1977.753156
Nuclear repulsion energy61.763408
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(2df,p)
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 659 628 11.38      

Unscaled Zero Point Vibrational Energy (zpe) 329.6 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 314.0 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 M06-2X/6-31G(2df,p)
B
0.41902

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.342
N2 0.000 0.000 -1.517

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8592
N21.8592

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(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.271      
2 N -0.271      


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 2.798 2.798
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.764 0.000 0.000
y 0.000 -22.466 0.000
z 0.000 0.000 -25.796
Traceless
 xyz
x 4.367 0.000 0.000
y 0.000 0.314 0.000
z 0.000 0.000 -4.681
Polar
3z2-r2-9.362
x2-y22.702
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.848 0.000 0.000
y 0.000 9.248 0.000
z 0.000 0.000 7.750


<r2> (average value of r2) Å2
<r2> 33.902
(<r2>)1/2 5.823

State 2 (1Σ)

Jump to S1C1
Energy calculated at M06-2X/6-31G(2df,p)
 hartrees
Energy at 0K-1977.698045
Energy at 298.15K-1977.698402
HF Energy-1977.698045
Nuclear repulsion energy66.253474
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(2df,p)
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 787 750 4.86      

Unscaled Zero Point Vibrational Energy (zpe) 393.7 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 374.9 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(2df,p)
B
0.48216

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G(2df,p)

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 -1.414

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7332
N21.7332

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(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.314      
2 N -0.314      


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 4.861 4.861
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.017 0.000 0.000
y 0.000 -22.017 0.000
z 0.000 0.000 -22.171
Traceless
 xyz
x 0.077 0.000 0.000
y 0.000 0.077 0.000
z 0.000 0.000 -0.154
Polar
3z2-r2-0.309
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 7.976 0.000 0.000
y 0.000 7.976 0.000
z 0.000 0.000 7.671


<r2> (average value of r2) Å2
<r2> 30.938
(<r2>)1/2 5.562