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

using model chemistry: B3PW91/3-21G

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 B3PW91/3-21G
 hartrees
Energy at 0K-1969.733531
Energy at 298.15K-1969.733859
HF Energy-1969.733531
Nuclear repulsion energy63.697277
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 B3PW91/3-21G
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 714 686 2.34      

Unscaled Zero Point Vibrational Energy (zpe) 356.8 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 342.9 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 B3PW91/3-21G
B
0.44567

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.332
N2 0.000 0.000 -1.471

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8028
N21.8028

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.394      
2 N -0.394      


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 1.796 1.796
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.222 0.000 0.000
y 0.000 -19.298 0.000
z 0.000 0.000 -25.790
Traceless
 xyz
x 0.322 0.000 0.000
y 0.000 4.708 0.000
z 0.000 0.000 -5.030
Polar
3z2-r2-10.060
x2-y2-2.924
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.851 0.000 0.000
y 0.000 4.252 0.000
z 0.000 0.000 7.465


<r2> (average value of r2) Å2
<r2> 32.573
(<r2>)1/2 5.707

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-1969.696106
Energy at 298.15K-1969.696494
HF Energy-1969.696106
Nuclear repulsion energy68.660617
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 B3PW91/3-21G
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 889 855 0.86      

Unscaled Zero Point Vibrational Energy (zpe) 444.7 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 427.5 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 B3PW91/3-21G
B
0.51783

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.308
N2 0.000 0.000 -1.364

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.6725
N21.6725

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.453      
2 N -0.453      


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 3.514 3.514
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.661 0.000 0.000
y 0.000 -21.661 0.000
z 0.000 0.000 -22.196
Traceless
 xyz
x 0.267 0.000 0.000
y 0.000 0.267 0.000
z 0.000 0.000 -0.535
Polar
3z2-r2-1.070
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 6.700 0.000 0.000
y 0.000 6.700 0.000
z 0.000 0.000 6.632


<r2> (average value of r2) Å2
<r2> 29.613
(<r2>)1/2 5.442