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

using model chemistry: PBEPBE/Def2TZVPP

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 PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-77.178542
Energy at 298.15K-77.179388
HF Energy-77.178542
Nuclear repulsion energy23.997191
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 PBEPBE/Def2TZVPP
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' 660 652 0.00      
2 A2" 83 82 85.00      
3 E' 862 851 29.09      
3 E' 862 851 28.95      
4 E' 191 189 12.96      
4 E' 191 189 12.92      

Unscaled Zero Point Vibrational Energy (zpe) 1424.3 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 1407.0 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 PBEPBE/Def2TZVPP
ABC
0.53335 0.53335 0.26668

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.727 0.000
Li3 1.496 -0.863 0.000
Li4 -1.496 -0.863 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.72691.72691.7269
Li21.72692.99112.9911
Li31.72692.99112.9911
Li41.72692.99112.9911

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 PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -1.258      
2 Li 0.419      
3 Li 0.419      
4 Li 0.419      


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 -3.958 0.000 0.000
y 0.000 -3.958 0.000
z 0.000 0.000 -22.118
Traceless
 xyz
x 9.080 0.000 0.000
y 0.000 9.080 0.000
z 0.000 0.000 -18.160
Polar
3z2-r2-36.320
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 20.354 0.000 0.000
y 0.000 20.389 0.000
z 0.000 0.000 19.743


<r2> (average value of r2) Å2
<r2> 33.283
(<r2>)1/2 5.769

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-77.178542
Energy at 298.15K-77.179389
HF Energy-77.178542
Nuclear repulsion energy23.994729
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 PBEPBE/Def2TZVPP
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 660 652 0.00      
2 A1 83 82 84.93      
3 E 861 851 29.09      
3 E 861 851 28.95      
4 E 191 189 12.95      
4 E 191 189 12.91      

Unscaled Zero Point Vibrational Energy (zpe) 1424.2 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 1406.9 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 PBEPBE/Def2TZVPP
ABC
0.53325 0.53325 0.26662

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.094
Li2 0.000 1.728 -0.073
Li3 1.496 -0.864 -0.073
Li4 -1.496 -0.864 -0.073

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.73601.73601.7360
Li21.73602.99302.9930
Li31.73602.99302.9930
Li41.73602.99302.9930

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 119.094 Li2 N1 Li4 119.094
Li3 N1 Li4 119.094
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -1.258      
2 Li 0.419      
3 Li 0.419      
4 Li 0.419      


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 -0.001 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -3.956 0.000 0.000
y 0.000 -3.956 0.000
z 0.000 0.000 -22.119
Traceless
 xyz
x 9.082 0.000 0.000
y 0.000 9.082 0.000
z 0.000 0.000 -18.163
Polar
3z2-r2-36.327
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 20.360 0.000 0.000
y 0.000 20.395 0.000
z 0.000 0.000 19.750


<r2> (average value of r2) Å2
<r2> 33.288
(<r2>)1/2 5.770