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

using model chemistry: PBEPBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-1955.875317
Energy at 298.15K-1955.875766
HF Energy-1955.875317
Nuclear repulsion energy80.841662
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/STO-3G
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 1490 1361 10.64      

Unscaled Zero Point Vibrational Energy (zpe) 744.7 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 680.4 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/STO-3G
B
0.71787

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.262
N2 0.000 0.000 -1.159

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.4204
N21.4204

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/STO-3G 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 0.331 0.331
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.456 0.000 0.000
y 0.000 -19.678 0.000
z 0.000 0.000 -23.539
Traceless
 xyz
x 0.153 0.000 0.000
y 0.000 2.819 0.000
z 0.000 0.000 -2.972
Polar
3z2-r2-5.944
x2-y2-1.778
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 24.987
(<r2>)1/2 4.999

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBE/STO-3G
 hartrees
Energy at 0K-1955.917007
Energy at 298.15K-1955.917465
HF Energy-1955.917007
Nuclear repulsion energy84.150760
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/STO-3G
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 1770 1617 3.45      

Unscaled Zero Point Vibrational Energy (zpe) 885.1 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 808.6 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/STO-3G
B
0.77784

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.251
N2 0.000 0.000 -1.113

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.3646
N21.3646

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/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.416      
2 N -0.416      


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 1.171 1.171
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.272 0.000 0.000
y 0.000 -21.272 0.000
z 0.000 0.000 -20.761
Traceless
 xyz
x -0.256 0.000 0.000
y 0.000 -0.256 0.000
z 0.000 0.000 0.512
Polar
3z2-r21.023
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 1.818 0.000 0.000
y 0.000 1.818 0.000
z 0.000 0.000 3.663


<r2> (average value of r2) Å2
<r2> 23.813
(<r2>)1/2 4.880