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

using model chemistry: PBEPBEultrafine/aug-cc-pVTZ

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 PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-1979.178090
Energy at 298.15K-1979.178368
HF Energy-1979.178090
Nuclear repulsion energy62.087469
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 PBEPBEultrafine/aug-cc-pVTZ
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 609 602 17.02      

Unscaled Zero Point Vibrational Energy (zpe) 304.4 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 301.0 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 PBEPBEultrafine/aug-cc-pVTZ
B
0.42343

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

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 -1.509

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8495
N21.8495

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.247      
2 N -0.247      


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 2.764 2.764
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.708 0.000 0.000
y 0.000 -22.464 0.000
z 0.000 0.000 -25.561
Traceless
 xyz
x 4.305 0.000 0.000
y 0.000 0.170 0.000
z 0.000 0.000 -4.475
Polar
3z2-r2-8.949
x2-y22.756
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.042 0.000 0.000
y 0.000 8.657 0.000
z 0.000 0.000 8.703


<r2> (average value of r2) Å2
<r2> 33.636
(<r2>)1/2 5.800

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-1979.142382
Energy at 298.15K-1979.142750
HF Energy-1979.142382
Nuclear repulsion energy67.256246
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 PBEPBEultrafine/aug-cc-pVTZ
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 815 806 9.28      

Unscaled Zero Point Vibrational Energy (zpe) 407.4 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 402.8 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 PBEPBEultrafine/aug-cc-pVTZ
B
0.49687

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

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
Ga11.7074
N21.7074

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.328      
2 N -0.328      


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 4.283 4.283
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.040 0.000 0.000
y 0.000 -22.040 0.000
z 0.000 0.000 -21.891
Traceless
 xyz
x -0.075 0.000 0.000
y 0.000 -0.075 0.000
z 0.000 0.000 0.149
Polar
3z2-r20.298
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 5.042 0.000 0.000
y 0.000 8.657 0.000
z 0.000 0.000 8.703


<r2> (average value of r2) Å2
<r2> 30.381
(<r2>)1/2 5.512