return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: wB97X-D/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 wB97X-D/3-21G*
 hartrees
Energy at 0K-1969.960896
Energy at 298.15K-1969.961185
HF Energy-1969.960896
Nuclear repulsion energy60.581498
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 wB97X-D/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 635 602 12.20      

Unscaled Zero Point Vibrational Energy (zpe) 317.7 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 301.1 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 wB97X-D/3-21G*
B
0.40314

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.350
N2 0.000 0.000 -1.548

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8981
N21.8981

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.256      
2 N -0.256      


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 1.805 1.805
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.504 0.000 0.000
y 0.000 -19.719 0.000
z 0.000 0.000 -24.745
Traceless
 xyz
x -0.272 0.000 0.000
y 0.000 3.905 0.000
z 0.000 0.000 -3.633
Polar
3z2-r2-7.266
x2-y2-2.784
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x -5.507 0.000 0.000
y 0.000 4.227 0.000
z 0.000 0.000 7.137


<r2> (average value of r2) Å2
<r2> 34.460
(<r2>)1/2 5.870

State 2 (1Σ)

Jump to S1C1
Energy calculated at wB97X-D/3-21G*
 hartrees
Energy at 0K-1969.905507
Energy at 298.15K-1969.905875
HF Energy-1969.905507
Nuclear repulsion energy65.928375
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 wB97X-D/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 823 780 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 411.6 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 390.1 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 wB97X-D/3-21G*
B
0.47744

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.322
N2 0.000 0.000 -1.425

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7468
N21.7468

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.307      
2 N -0.307      


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 3.404 3.404
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.921 0.000 0.000
y 0.000 -21.921 0.000
z 0.000 0.000 -21.343
Traceless
 xyz
x -0.289 0.000 0.000
y 0.000 -0.289 0.000
z 0.000 0.000 0.578
Polar
3z2-r21.157
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 12.673 0.000 0.000
y 0.000 12.673 0.000
z 0.000 0.000 6.896


<r2> (average value of r2) Å2
<r2> 30.895
(<r2>)1/2 5.558