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

using model chemistry: M06-2X/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 M06-2X/3-21G
 hartrees
Energy at 0K-1969.751687
Energy at 298.15K-1969.752010
HF Energy-1969.751687
Nuclear repulsion energy63.053414
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/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 703 674 4.22      

Unscaled Zero Point Vibrational Energy (zpe) 351.7 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 337.1 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 M06-2X/3-21G
B
0.43671

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.335
N2 0.000 0.000 -1.486

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8212
N21.8212

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/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.387      
2 N -0.387      


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 1.777 1.777
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.289 0.000 0.000
y 0.000 -19.279 0.000
z 0.000 0.000 -25.719
Traceless
 xyz
x 0.210 0.000 0.000
y 0.000 4.725 0.000
z 0.000 0.000 -4.935
Polar
3z2-r2-9.870
x2-y2-3.010
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x -75.237 0.000 0.000
y 0.000 4.172 0.000
z 0.000 0.000 7.679


<r2> (average value of r2) Å2
<r2> 32.949
(<r2>)1/2 5.740

State 2 (1Σ)

Jump to S1C1
Energy calculated at M06-2X/3-21G
 hartrees
Energy at 0K-1969.706530
Energy at 298.15K-1969.706920
HF Energy-1969.706530
Nuclear repulsion energy68.147121
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/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 901 864 1.66      

Unscaled Zero Point Vibrational Energy (zpe) 450.5 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 431.9 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/3-21G
B
0.51012

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.310
N2 0.000 0.000 -1.375

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.6851
N21.6851

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/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.454      
2 N -0.454      


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 3.430 3.430
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.499 0.000 0.000
y 0.000 -21.499 0.000
z 0.000 0.000 -22.279
Traceless
 xyz
x 0.390 0.000 0.000
y 0.000 0.390 0.000
z 0.000 0.000 -0.781
Polar
3z2-r2-1.561
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 7.488 0.000 0.000
y 0.000 7.488 0.000
z 0.000 0.000 6.936


<r2> (average value of r2) Å2
<r2> 29.805
(<r2>)1/2 5.459