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

using model chemistry: LSDA/6-31G**

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 LSDA/6-31G**
 hartrees
Energy at 0K-1974.839953
Energy at 298.15K-1974.840248
HF Energy-1974.839953
Nuclear repulsion energy62.915006
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 LSDA/6-31G**
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 646 634 7.51      

Unscaled Zero Point Vibrational Energy (zpe) 323.0 cm-1
Scaled (by 0.9813) Zero Point Vibrational Energy (zpe) 317.0 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 LSDA/6-31G**
B
0.43479

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.336
N2 0.000 0.000 -1.489

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.8252
N21.8252

picture of Gallium mononitride state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.317      
2 N -0.317      


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 2.360 2.360
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.403 0.000 0.000
y 0.000 -19.631 0.000
z 0.000 0.000 -24.396
Traceless
 xyz
x -0.389 0.000 0.000
y 0.000 3.768 0.000
z 0.000 0.000 -3.379
Polar
3z2-r2-6.758
x2-y2-2.771
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.455 0.000 0.000
y 0.000 4.189 0.000
z 0.000 0.000 7.078


<r2> (average value of r2) Å2
<r2> 32.854
(<r2>)1/2 5.732

State 2 (1Σ)

Jump to S1C1
Energy calculated at LSDA/6-31G**
 hartrees
Energy at 0K-1974.814806
Energy at 298.15K-1974.815179
HF Energy-1974.814806
Nuclear repulsion energy68.138174
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 LSDA/6-31G**
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 838 822 3.74      

Unscaled Zero Point Vibrational Energy (zpe) 418.9 cm-1
Scaled (by 0.9813) Zero Point Vibrational Energy (zpe) 411.0 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 LSDA/6-31G**
B
0.50998

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Ga1 0.000 0.000 0.310
N2 0.000 0.000 -1.375

Atom - Atom Distances (Å)
  Ga1 N2
Ga11.6853
N21.6853

picture of Gallium mononitride state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Ga 0.380      
2 N -0.380      


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 3.917 3.917
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.948 0.000 0.000
y 0.000 -21.948 0.000
z 0.000 0.000 -21.026
Traceless
 xyz
x -0.461 0.000 0.000
y 0.000 -0.461 0.000
z 0.000 0.000 0.922
Polar
3z2-r21.844
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 6.455 0.000 0.000
y 0.000 4.189 0.000
z 0.000 0.000 7.078


<r2> (average value of r2) Å2
<r2> 29.735
(<r2>)1/2 5.453