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

using model chemistry: B3LYP/3-21G*

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 B3LYP/3-21G*
 hartrees
Energy at 0K-1969.984565
Energy at 298.15K-1969.984839
HF Energy-1969.984565
Nuclear repulsion energy60.495544
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 B3LYP/3-21G*
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 608 585 7.64      

Unscaled Zero Point Vibrational Energy (zpe) 304.2 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 292.6 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 B3LYP/3-21G*
B
0.40200

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.350
N2 0.000 0.000 -1.549

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8982
N21.8982

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.243      
2 N -0.243      


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 1.800 1.800
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.730 0.000 0.000
y 0.000 -19.828 0.000
z 0.000 0.000 -24.601
Traceless
 xyz
x -0.516 0.000 0.000
y 0.000 3.838 0.000
z 0.000 0.000 -3.321
Polar
3z2-r2-6.643
x2-y2-2.903
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x -23.511 0.000 0.000
y 0.000 4.156 0.000
z 0.000 0.000 7.012


<r2> (average value of r2) Å2
<r2> 34.558
(<r2>)1/2 5.879

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-1969.935103
Energy at 298.15K-1969.935455
HF Energy-1969.935103
Nuclear repulsion energy65.690530
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 B3LYP/3-21G*
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 776 746 0.19      

Unscaled Zero Point Vibrational Energy (zpe) 387.8 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 373.0 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 B3LYP/3-21G*
B
0.47400

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.322
N2 0.000 0.000 -1.426

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7481
N21.7481

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.291      
2 N -0.291      


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 3.259 3.259
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.169 0.000 0.000
y 0.000 -22.169 0.000
z 0.000 0.000 -21.333
Traceless
 xyz
x -0.418 0.000 0.000
y 0.000 -0.418 0.000
z 0.000 0.000 0.837
Polar
3z2-r21.673
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 9.685 0.000 0.000
y 0.000 9.685 0.000
z 0.000 0.000 6.637


<r2> (average value of r2) Å2
<r2> 31.122
(<r2>)1/2 5.579