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

using model chemistry: M06-2X/6-311G**

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/6-311G**
 hartrees
Energy at 0K-1979.422318
Energy at 298.15K-1979.422598
HF Energy-1979.422318
Nuclear repulsion energy61.540564
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/6-311G**
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 614 614 9.62      

Unscaled Zero Point Vibrational Energy (zpe) 307.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 307.2 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/6-311G**
B
0.41600

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.344
N2 0.000 0.000 -1.522

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8659
N21.8659

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.450      
2 N -0.450      


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 2.835 2.835
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.627 0.000 0.000
y 0.000 -22.436 0.000
z 0.000 0.000 -26.149
Traceless
 xyz
x 4.665 0.000 0.000
y 0.000 0.452 0.000
z 0.000 0.000 -5.118
Polar
3z2-r2-10.236
x2-y22.809
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.266 0.000 0.000
y 0.000 16.185 0.000
z 0.000 0.000 7.741


<r2> (average value of r2) Å2
<r2> 34.084
(<r2>)1/2 5.838

State 2 (1Σ)

Jump to S1C1
Energy calculated at M06-2X/6-311G**
 hartrees
Energy at 0K-1979.364904
Energy at 298.15K-1979.365267
HF Energy-1979.364904
Nuclear repulsion energy66.479000
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/6-311G**
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 802 802 5.22      

Unscaled Zero Point Vibrational Energy (zpe) 400.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 400.9 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/6-311G**
B
0.48545

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

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 -1.409

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7273
N21.7273

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.517      
2 N -0.517      


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 4.786 4.786
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.891 0.000 0.000
y 0.000 -21.891 0.000
z 0.000 0.000 -22.603
Traceless
 xyz
x 0.356 0.000 0.000
y 0.000 0.356 0.000
z 0.000 0.000 -0.712
Polar
3z2-r2-1.424
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 8.532 0.000 0.000
y 0.000 8.532 0.000
z 0.000 0.000 7.241


<r2> (average value of r2) Å2
<r2> 30.859
(<r2>)1/2 5.555