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All results from a given calculation for Li3N (trilithium nitride)

using model chemistry: M06-2X/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A'
1 2 no C3V 1A1

Conformer 1 (D3H)

Jump to S1C2
Energy calculated at M06-2X/cc-pVTZ
 hartrees
Energy at 0K-77.284236
Energy at 298.15K-77.285242
HF Energy-77.284236
Nuclear repulsion energy24.265456
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 M06-2X/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1' 697 666 0.00      
2 A2" 105 100 148.44      
3 E' 914 873 120.45      
3 E' 914 873 119.31      
4 E' 215 205 40.78      
4 E' 214 205 41.47      

Unscaled Zero Point Vibrational Energy (zpe) 1529.5 cm-1
Scaled (by 0.9551) Zero Point Vibrational Energy (zpe) 1460.8 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 M06-2X/cc-pVTZ
ABC
0.54535 0.54535 0.27267

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.714 0.000
Li3 1.484 -0.857 0.000
Li4 -1.484 -0.857 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.71381.71381.7138
Li21.71382.96852.9685
Li31.71382.96852.9685
Li41.71382.96852.9685

picture of trilithium nitride state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Li2 N1 Li3 120.000 Li2 N1 Li4 120.000
Li3 N1 Li4 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.062      
2 Li 0.021      
3 Li 0.021      
4 Li 0.021      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -2.013 0.000 0.000
y 0.000 -2.013 0.000
z 0.000 0.000 -21.308
Traceless
 xyz
x 9.647 0.000 0.000
y 0.000 9.647 0.000
z 0.000 0.000 -19.294
Polar
3z2-r2-38.589
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 15.885 0.000 0.000
y 0.000 15.545 0.000
z 0.000 0.000 17.208


<r2> (average value of r2) Å2
<r2> 31.710
(<r2>)1/2 5.631

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at M06-2X/cc-pVTZ
 hartrees
Energy at 0K-77.284236
Energy at 298.15K-77.285241
HF Energy-77.284236
Nuclear repulsion energy24.266257
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 M06-2X/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 697 666 0.00      
2 A1 105 100 148.48      
3 E 914 873 120.44      
3 E 914 873 119.30      
4 E 214 205 40.79      
4 E 214 205 41.48      

Unscaled Zero Point Vibrational Energy (zpe) 1529.5 cm-1
Scaled (by 0.9551) Zero Point Vibrational Energy (zpe) 1460.8 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 M06-2X/cc-pVTZ
ABC
0.54538 0.54538 0.27269

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/cc-pVTZ

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 -0.000
Li2 0.000 1.714 0.000
Li3 1.484 -0.857 0.000
Li4 -1.484 -0.857 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.71381.71381.7138
Li21.71382.96842.9684
Li31.71382.96842.9684
Li41.71382.96842.9684

picture of trilithium nitride state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Li2 N1 Li3 120.000 Li2 N1 Li4 120.000
Li3 N1 Li4 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.062      
2 Li 0.021      
3 Li 0.021      
4 Li 0.021      


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 0.002 0.002
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -2.014 0.000 0.000
y 0.000 -2.014 0.000
z 0.000 0.000 -21.307
Traceless
 xyz
x 9.647 0.000 0.000
y 0.000 9.647 0.000
z 0.000 0.000 -19.293
Polar
3z2-r2-38.586
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 15.884 0.000 0.000
y 0.000 15.543 0.000
z 0.000 0.000 17.208


<r2> (average value of r2) Å2
<r2> 31.708
(<r2>)1/2 5.631