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

using model chemistry: PBEPBE/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 PBEPBE/6-31G**
 hartrees
Energy at 0K-1977.145367
Energy at 298.15K-1977.145636
HF Energy-1977.145367
Nuclear repulsion energy61.501566
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 PBEPBE/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 600 591 7.42      

Unscaled Zero Point Vibrational Energy (zpe) 299.8 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 295.7 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 PBEPBE/6-31G**
B
0.41548

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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 -1.523

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8671
N21.8671

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.340      
2 N -0.340      


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 2.395 2.395
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.681 0.000 0.000
y 0.000 -22.550 0.000
z 0.000 0.000 -24.713
Traceless
 xyz
x 3.950 0.000 0.000
y 0.000 -0.353 0.000
z 0.000 0.000 -3.597
Polar
3z2-r2-7.193
x2-y22.869
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.364 0.000 0.000
y 0.000 7.924 0.000
z 0.000 0.000 7.356


<r2> (average value of r2) Å2
<r2> 33.845
(<r2>)1/2 5.818

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-1977.109909
Energy at 298.15K-1977.110268
HF Energy-1977.109909
Nuclear repulsion energy66.824450
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 PBEPBE/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 795 785 2.84      

Unscaled Zero Point Vibrational Energy (zpe) 397.7 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 392.3 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 PBEPBE/6-31G**
B
0.49051

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

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 -1.402

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7184
N21.7184

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.398      
2 N -0.398      


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 3.962 3.962
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.133 0.000 0.000
y 0.000 -22.133 0.000
z 0.000 0.000 -21.224
Traceless
 xyz
x -0.454 0.000 0.000
y 0.000 -0.454 0.000
z 0.000 0.000 0.908
Polar
3z2-r21.817
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 4.364 0.000 0.000
y 0.000 7.924 0.000
z 0.000 0.000 7.356


<r2> (average value of r2) Å2
<r2> 30.497
(<r2>)1/2 5.522