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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-1969.923463
Energy at 298.15K-1969.923738
HF Energy-1969.923463
Nuclear repulsion energy60.687063
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 611 586 6.06      

Unscaled Zero Point Vibrational Energy (zpe) 305.5 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 293.1 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
0.40455

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 0.349
N2 0.000 0.000 -1.544

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8922
N21.8922

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 0.253      
2 N -0.253      


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 1.863 1.863
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.706 0.000 0.000
y 0.000 -22.581 0.000
z 0.000 0.000 -24.616
Traceless
 xyz
x 3.893 0.000 0.000
y 0.000 -0.420 0.000
z 0.000 0.000 -3.473
Polar
3z2-r2-6.946
x2-y22.875
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.213 0.000 0.000
y 0.000 -23.499 0.000
z 0.000 0.000 7.193


<r2> (average value of r2) Å2
<r2> 34.375
(<r2>)1/2 5.863

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3PW91/3-21G*
 hartrees
Energy at 0K-1969.872101
Energy at 298.15K-1969.872459
HF Energy-1969.872101
Nuclear repulsion energy66.046800
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 792 760 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 395.9 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 379.8 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 B3PW91/3-21G*
B
0.47916

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 0.320
N2 0.000 0.000 -1.418

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7386
N21.7386

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 0.302      
2 N -0.302      


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 3.454 3.454
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 -21.263
Traceless
 xyz
x -0.389 0.000 0.000
y 0.000 -0.389 0.000
z 0.000 0.000 0.778
Polar
3z2-r21.556
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 8.917 0.000 0.000
y 0.000 8.917 0.000
z 0.000 0.000 6.725


<r2> (average value of r2) Å2
<r2> 30.866
(<r2>)1/2 5.556