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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-311G**
 hartrees
Energy at 0K-1979.129398
Energy at 298.15K-1979.129671
HF Energy-1979.129398
Nuclear repulsion energy61.992605
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/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 601 578 14.24      

Unscaled Zero Point Vibrational Energy (zpe) 300.7 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 288.8 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/6-311G**
B
0.42214

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 -1.511

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8523
N21.8523

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.406      
2 N -0.406      


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 2.500 2.500
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.417 0.000 0.000
y 0.000 -22.202 0.000
z 0.000 0.000 -25.149
Traceless
 xyz
x 4.259 0.000 0.000
y 0.000 0.080 0.000
z 0.000 0.000 -4.340
Polar
3z2-r2-8.680
x2-y22.786
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.233 0.000 0.000
y 0.000 -27.991 0.000
z 0.000 0.000 7.649


<r2> (average value of r2) Å2
<r2> 33.495
(<r2>)1/2 5.787

State 2 (1Σ)

Jump to S1C1
Energy calculated at HSEh1PBE/6-311G**
 hartrees
Energy at 0K-1979.077884
Energy at 298.15K-1979.078247
HF Energy-1979.077884
Nuclear repulsion energy67.250795
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/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 804 772 3.99      

Unscaled Zero Point Vibrational Energy (zpe) 401.8 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 385.9 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/6-311G**
B
0.49679

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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
Ga11.7075
N21.7075

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.450      
2 N -0.450      


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 4.127 4.127
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.767 0.000 0.000
y 0.000 -21.767 0.000
z 0.000 0.000 -21.692
Traceless
 xyz
x -0.037 0.000 0.000
y 0.000 -0.037 0.000
z 0.000 0.000 0.075
Polar
3z2-r20.149
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 9.778 0.000 0.000
y 0.000 9.778 0.000
z 0.000 0.000 7.189


<r2> (average value of r2) Å2
<r2> 30.229
(<r2>)1/2 5.498