return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: mPW1PW91/3-21G*

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 mPW1PW91/3-21G*
 hartrees
Energy at 0K-1970.071030
Energy at 298.15K-1970.071307
HF Energy-1970.071030
Nuclear repulsion energy60.714736
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 mPW1PW91/3-21G*
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 614 583 6.78      

Unscaled Zero Point Vibrational Energy (zpe) 306.8 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 291.4 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 mPW1PW91/3-21G*
B
0.40491

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.348
N2 0.000 0.000 -1.543

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8913
N21.8913

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.261      
2 N -0.261      


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 1.868 1.868
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.571 0.000 0.000
y 0.000 -19.701 0.000
z 0.000 0.000 -24.687
Traceless
 xyz
x -0.377 0.000 0.000
y 0.000 3.928 0.000
z 0.000 0.000 -3.551
Polar
3z2-r2-7.102
x2-y2-2.870
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x -8.384 0.000 0.000
y 0.000 4.251 0.000
z 0.000 0.000 7.248


<r2> (average value of r2) Å2
<r2> 34.368
(<r2>)1/2 5.862

State 2 (1Σ)

Jump to S1C1
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-1970.016302
Energy at 298.15K-1970.016659
HF Energy-1970.016302
Nuclear repulsion energy66.063225
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 mPW1PW91/3-21G*
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 791 752 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 395.7 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 375.8 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 mPW1PW91/3-21G*
B
0.47940

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

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
Ga11.7382
N21.7382

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.310      
2 N -0.310      


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 3.493 3.493
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.022 0.000 0.000
y 0.000 -22.022 0.000
z 0.000 0.000 -21.317
Traceless
 xyz
x -0.353 0.000 0.000
y 0.000 -0.353 0.000
z 0.000 0.000 0.705
Polar
3z2-r21.410
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 9.712 0.000 0.000
y 0.000 9.712 0.000
z 0.000 0.000 6.808


<r2> (average value of r2) Å2
<r2> 30.862
(<r2>)1/2 5.555