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

using model chemistry: mPW1PW91/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-1979.582174
Energy at 298.15K-1979.582445
HF Energy-1979.582174
Nuclear repulsion energy61.657188
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/cc-pVDZ
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 599 574 10.85      

Unscaled Zero Point Vibrational Energy (zpe) 299.4 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 286.9 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 mPW1PW91/cc-pVDZ
B
0.41758

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVDZ

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.343
N2 0.000 0.000 -1.519

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8624
N21.8624

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/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.311      
2 N -0.311      


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 2.342 2.342
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.049 0.000 0.000
y 0.000 -19.296 0.000
z 0.000 0.000 -24.727
Traceless
 xyz
x -0.038 0.000 0.000
y 0.000 4.092 0.000
z 0.000 0.000 -4.054
Polar
3z2-r2-8.109
x2-y2-2.753
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x -18.670 0.000 0.000
y 0.000 4.124 0.000
z 0.000 0.000 7.372


<r2> (average value of r2) Å2
<r2> 33.563
(<r2>)1/2 5.793

State 2 (1Σ)

Jump to S1C1
Energy calculated at mPW1PW91/cc-pVDZ
 hartrees
Energy at 0K-1979.529162
Energy at 298.15K-1979.529524
HF Energy-1979.529162
Nuclear repulsion energy66.909975
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/cc-pVDZ
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 799 766 1.79      

Unscaled Zero Point Vibrational Energy (zpe) 399.4 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 382.8 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/cc-pVDZ
B
0.49176

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVDZ

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.316
N2 0.000 0.000 -1.400

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.7162
N21.7162

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/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.331      
2 N -0.331      


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 3.975 3.975
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.618 0.000 0.000
y 0.000 -21.618 0.000
z 0.000 0.000 -21.279
Traceless
 xyz
x -0.170 0.000 0.000
y 0.000 -0.170 0.000
z 0.000 0.000 0.339
Polar
3z2-r20.678
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 9.082 0.000 0.000
y 0.000 9.082 0.000
z 0.000 0.000 6.991


<r2> (average value of r2) Å2
<r2> 30.251
(<r2>)1/2 5.500