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: mPW1PW91/6-31G(2df,p)

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 mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-1977.873184
Energy at 298.15K-1977.873479
HF Energy-1977.873184
Nuclear repulsion energy62.100129
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 mPW1PW91/6-31G(2df,p)
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 645 615 13.69      

Unscaled Zero Point Vibrational Energy (zpe) 322.3 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 307.7 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 mPW1PW91/6-31G(2df,p)
B
0.42360

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.341
N2 0.000 0.000 -1.509

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8491
N21.8491

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.229      
2 N -0.229      


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 2.516 2.516
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.428 0.000 0.000
y 0.000 -22.149 0.000
z 0.000 0.000 -24.947
Traceless
 xyz
x 4.120 0.000 0.000
y 0.000 0.039 0.000
z 0.000 0.000 -4.159
Polar
3z2-r2-8.318
x2-y22.721
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.799 0.000 0.000
y 0.000 42.240 0.000
z 0.000 0.000 7.937


<r2> (average value of r2) Å2
<r2> 33.376
(<r2>)1/2 5.777

State 2 (1Σ)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-1977.820975
Energy at 298.15K-1977.821333
HF Energy-1977.820975
Nuclear repulsion energy67.062948
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 mPW1PW91/6-31G(2df,p)
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 789 753 4.47      

Unscaled Zero Point Vibrational Energy (zpe) 394.5 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 376.6 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 mPW1PW91/6-31G(2df,p)
B
0.49402

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.315
N2 0.000 0.000 -1.397

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7123
N21.7123

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.257      
2 N -0.257      


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 4.318 4.318
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.744 0.000 0.000
y 0.000 -21.744 0.000
z 0.000 0.000 -21.295
Traceless
 xyz
x -0.225 0.000 0.000
y 0.000 -0.225 0.000
z 0.000 0.000 0.449
Polar
3z2-r20.899
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 9.757 0.000 0.000
y 0.000 9.757 0.000
z 0.000 0.000 7.696


<r2> (average value of r2) Å2
<r2> 30.230
(<r2>)1/2 5.498