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

using model chemistry: M06-2X/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-1979.502186
Energy at 298.15K-1979.502460
HF Energy-1979.502186
Nuclear repulsion energy61.427038
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/aug-cc-pVTZ
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 604 577 16.59      

Unscaled Zero Point Vibrational Energy (zpe) 302.0 cm-1
Scaled (by 0.9557) Zero Point Vibrational Energy (zpe) 288.6 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 M06-2X/aug-cc-pVTZ
B
0.41447

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

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 -1.525

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8694
N21.8694

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/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.424      
2 N -0.424      


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 3.164 3.164
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.794 0.000 0.000
y 0.000 -22.501 0.000
z 0.000 0.000 -26.483
Traceless
 xyz
x 4.698 0.000 0.000
y 0.000 0.638 0.000
z 0.000 0.000 -5.336
Polar
3z2-r2-10.672
x2-y22.707
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.138 0.000 0.000
y 0.000 21.031 0.000
z 0.000 0.000 8.901


<r2> (average value of r2) Å2
<r2> 34.276
(<r2>)1/2 5.855

State 2 (1Σ)

Jump to S1C1
Energy calculated at M06-2X/aug-cc-pVTZ
 hartrees
Energy at 0K-1979.446157
Energy at 298.15K-1979.446513
HF Energy-1979.446157
Nuclear repulsion energy66.246218
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/aug-cc-pVTZ
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 779 744 7.48      

Unscaled Zero Point Vibrational Energy (zpe) 389.4 cm-1
Scaled (by 0.9557) Zero Point Vibrational Energy (zpe) 372.1 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/aug-cc-pVTZ
B
0.48206

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

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
Ga11.7334
N21.7334

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/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.524      
2 N -0.524      


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 5.083 5.083
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.931 0.000 0.000
y 0.000 -21.931 0.000
z 0.000 0.000 -22.920
Traceless
 xyz
x 0.494 0.000 0.000
y 0.000 0.494 0.000
z 0.000 0.000 -0.988
Polar
3z2-r2-1.976
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 9.791 0.000 0.000
y 0.000 9.791 0.000
z 0.000 0.000 8.761


<r2> (average value of r2) Å2
<r2> 31.062
(<r2>)1/2 5.573