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

using model chemistry: HSEh1PBE/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 HSEh1PBE/STO-3G
 hartrees
Energy at 0K-1955.994473
Energy at 298.15K-1955.994922
HF Energy-1955.994473
Nuclear repulsion energy81.150893
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 HSEh1PBE/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 1485 1311 10.78      

Unscaled Zero Point Vibrational Energy (zpe) 742.3 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 655.6 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 HSEh1PBE/STO-3G
B
0.72337

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.261
N2 0.000 0.000 -1.154

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.4150
N21.4150

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.420      
2 N -0.420      


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 0.325 0.325
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.147 0.000 0.000
y 0.000 -19.493 0.000
z 0.000 0.000 -23.528
Traceless
 xyz
x 0.363 0.000 0.000
y 0.000 2.845 0.000
z 0.000 0.000 -3.208
Polar
3z2-r2-6.416
x2-y2-1.654
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.066 0.000 0.000
y 0.000 2.762 0.000
z 0.000 0.000 3.789


<r2> (average value of r2) Å2
<r2> 24.794
(<r2>)1/2 4.979

State 2 (1Σ)

Jump to S1C1
Energy calculated at HSEh1PBE/STO-3G
 hartrees
Energy at 0K-1956.035142
Energy at 298.15K-1956.035601
HF Energy-1956.035142
Nuclear repulsion energy84.731740
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 HSEh1PBE/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 1826 1613 10.24      

Unscaled Zero Point Vibrational Energy (zpe) 913.0 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 806.3 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 HSEh1PBE/STO-3G
B
0.78862

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.250
N2 0.000 0.000 -1.106

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.3552
N21.3552

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.446      
2 N -0.446      


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 1.293 1.293
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.995 0.000 0.000
y 0.000 -20.995 0.000
z 0.000 0.000 -20.894
Traceless
 xyz
x -0.050 0.000 0.000
y 0.000 -0.050 0.000
z 0.000 0.000 0.101
Polar
3z2-r20.202
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 1.912 0.000 0.000
y 0.000 1.912 0.000
z 0.000 0.000 3.813


<r2> (average value of r2) Å2
<r2> 23.581
(<r2>)1/2 4.856