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

using model chemistry: PBEPBE/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 PBEPBE/6-311G**
 hartrees
Energy at 0K-1979.098134
Energy at 298.15K-1979.098408
HF Energy-1979.098134
Nuclear repulsion energy62.051161
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 PBEPBE/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 603 597 10.36      

Unscaled Zero Point Vibrational Energy (zpe) 301.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 298.7 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 PBEPBE/6-311G**
B
0.42294

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.341
N2 0.000 0.000 -1.510

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8506
N21.8506

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.362      
2 N -0.362      


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 2.452 2.452
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.575 0.000 0.000
y 0.000 -22.461 0.000
z 0.000 0.000 -24.971
Traceless
 xyz
x 4.141 0.000 0.000
y 0.000 -0.188 0.000
z 0.000 0.000 -3.953
Polar
3z2-r2-7.906
x2-y22.886
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.162 0.000 0.000
y 0.000 7.671 0.000
z 0.000 0.000 7.474


<r2> (average value of r2) Å2
<r2> 33.507
(<r2>)1/2 5.789

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBE/6-311G**
 hartrees
Energy at 0K-1979.062901
Energy at 298.15K-1979.063269
HF Energy-1979.062901
Nuclear repulsion energy67.227019
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 PBEPBE/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 817 809 4.65      

Unscaled Zero Point Vibrational Energy (zpe) 408.3 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 404.6 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 PBEPBE/6-311G**
B
0.49644

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.315
N2 0.000 0.000 -1.393

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7081
N21.7081

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.396      
2 N -0.396      


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 3.940 3.940
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.091 0.000 0.000
y 0.000 -22.091 0.000
z 0.000 0.000 -21.545
Traceless
 xyz
x -0.273 0.000 0.000
y 0.000 -0.273 0.000
z 0.000 0.000 0.546
Polar
3z2-r21.092
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 4.162 0.000 0.000
y 0.000 7.671 0.000
z 0.000 0.000 7.474


<r2> (average value of r2) Å2
<r2> 30.345
(<r2>)1/2 5.509