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

using model chemistry: M06-2X/6-31G*

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/6-31G*
 hartrees
Energy at 0K-77.249176
Energy at 298.15K-77.250185
HF Energy-77.249176
Nuclear repulsion energy23.882509
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/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 A1' 696 659 0.00      
2 A2" 116 109 164.12      
3 E' 901 853 162.45      
3 E' 901 853 164.26      
4 E' 219 207 43.11      
4 E' 219 207 43.26      

Unscaled Zero Point Vibrational Energy (zpe) 1524.6 cm-1
Scaled (by 0.947) Zero Point Vibrational Energy (zpe) 1443.8 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/6-31G*
ABC
0.52827 0.52827 0.26413

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.741 0.000
Li3 1.508 -0.871 0.000
Li4 -1.508 -0.871 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.74131.74131.7413
Li21.74133.01613.0161
Li31.74133.01613.0161
Li41.74133.01613.0161

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.778      
2 Li 0.259      
3 Li 0.259      
4 Li 0.259      


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 -2.195 0.000 0.000
y 0.000 -2.195 0.000
z 0.000 0.000 -21.529
Traceless
 xyz
x 9.667 0.000 0.000
y 0.000 9.667 0.000
z 0.000 0.000 -19.335
Polar
3z2-r2-38.669
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 15.479 0.000 0.000
y 0.000 15.214 0.000
z 0.000 0.000 14.754


<r2> (average value of r2) Å2
<r2> 32.686
(<r2>)1/2 5.717

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at M06-2X/6-31G*
 hartrees
Energy at 0K-77.249176
Energy at 298.15K-77.250184
HF Energy-77.249176
Nuclear repulsion energy23.885336
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/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 A1 696 659 0.00      
2 A1 115 109 164.20      
3 E 901 853 162.44      
3 E 901 853 164.25      
4 E 218 207 43.13      
4 E 218 207 43.28      

Unscaled Zero Point Vibrational Energy (zpe) 1524.7 cm-1
Scaled (by 0.947) Zero Point Vibrational Energy (zpe) 1443.9 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 M06-2X/6-31G*
ABC
0.52839 0.52839 0.26420

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G*

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.741 -0.000
Li3 1.508 -0.871 -0.000
Li4 -1.508 -0.871 -0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.74111.74111.7411
Li21.74113.01573.0157
Li31.74113.01573.0157
Li41.74113.01573.0157

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.778      
2 Li 0.259      
3 Li 0.259      
4 Li 0.259      


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 -0.005 0.005
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -2.197 0.000 0.000
y 0.000 -2.197 0.000
z 0.000 0.000 -21.528
Traceless
 xyz
x 9.665 0.000 0.000
y 0.000 9.665 0.000
z 0.000 0.000 -19.330
Polar
3z2-r2-38.661
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 15.475 0.000 0.000
y 0.000 15.210 0.000
z 0.000 0.000 14.750


<r2> (average value of r2) Å2
<r2> 32.680
(<r2>)1/2 5.717