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

using model chemistry: PBEPBEultrafine/aug-cc-pVDZ

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-pVDZ
 hartrees
Energy at 0K-1979.098880
Energy at 298.15K-1979.099146
HF Energy-1979.098880
Nuclear repulsion energy61.377875
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-pVDZ
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 589 585 16.82      

Unscaled Zero Point Vibrational Energy (zpe) 294.5 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 292.7 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 PBEPBEultrafine/aug-cc-pVDZ
B
0.41381

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.345
N2 0.000 0.000 -1.526

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8709
N21.8709

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-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.516      
2 N -0.516      


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 2.831 2.831
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.689 0.000 0.000
y 0.000 -19.768 0.000
z 0.000 0.000 -25.444
Traceless
 xyz
x -0.083 0.000 0.000
y 0.000 4.298 0.000
z 0.000 0.000 -4.215
Polar
3z2-r2-8.431
x2-y2-2.920
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.303 0.000 0.000
y 0.000 4.963 0.000
z 0.000 0.000 8.764


<r2> (average value of r2) Å2
<r2> 34.125
(<r2>)1/2 5.842

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-1979.060889
Energy at 298.15K-1979.061250
HF Energy-1979.060889
Nuclear repulsion energy66.632282
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-pVDZ
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 792 787 8.60      

Unscaled Zero Point Vibrational Energy (zpe) 396.1 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 393.7 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 PBEPBEultrafine/aug-cc-pVDZ
B
0.48769

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.317
N2 0.000 0.000 -1.406

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7234
N21.7234

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-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.681      
2 N -0.681      


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 4.329 4.329
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.206 0.000 0.000
y 0.000 -22.206 0.000
z 0.000 0.000 -21.721
Traceless
 xyz
x -0.243 0.000 0.000
y 0.000 -0.243 0.000
z 0.000 0.000 0.485
Polar
3z2-r20.971
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 10.303 0.000 0.000
y 0.000 4.963 0.000
z 0.000 0.000 8.764


<r2> (average value of r2) Å2
<r2> 30.728
(<r2>)1/2 5.543