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

using model chemistry: HSEh1PBE/6-31G*

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/6-31G*
 hartrees
Energy at 0K-1977.164709
Energy at 298.15K-1977.164975
HF Energy-1977.164709
Nuclear repulsion energy61.427601
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/6-31G*
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 598 568 10.36      

Unscaled Zero Point Vibrational Energy (zpe) 298.7 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 284.1 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 HSEh1PBE/6-31G*
B
0.41448

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.344
N2 0.000 0.000 -1.525

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8694
N21.8694

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.380      
2 N -0.380      


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 2.475 2.475
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.534 0.000 0.000
y 0.000 -22.338 0.000
z 0.000 0.000 -24.968
Traceless
 xyz
x 4.118 0.000 0.000
y 0.000 -0.087 0.000
z 0.000 0.000 -4.031
Polar
3z2-r2-8.063
x2-y22.804
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.398 0.000 0.000
y 0.000 -28.971 0.000
z 0.000 0.000 7.543


<r2> (average value of r2) Å2
<r2> 33.872
(<r2>)1/2 5.820

State 2 (1Σ)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31G*
 hartrees
Energy at 0K-1977.112961
Energy at 298.15K-1977.113313
HF Energy-1977.112961
Nuclear repulsion energy66.847719
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/6-31G*
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 782 743 2.11      

Unscaled Zero Point Vibrational Energy (zpe) 390.9 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 371.7 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 HSEh1PBE/6-31G*
B
0.49085

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.316
N2 0.000 0.000 -1.401

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7178
N21.7178

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.441      
2 N -0.441      


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 4.169 4.169
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.870 0.000 0.000
y 0.000 -21.870 0.000
z 0.000 0.000 -21.443
Traceless
 xyz
x -0.213 0.000 0.000
y 0.000 -0.213 0.000
z 0.000 0.000 0.427
Polar
3z2-r20.854
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 9.407 0.000 0.000
y 0.000 9.407 0.000
z 0.000 0.000 7.182


<r2> (average value of r2) Å2
<r2> 30.421
(<r2>)1/2 5.516