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

using model chemistry: PBEPBE/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 PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-77.178083
Energy at 298.15K-77.178914
HF Energy-77.178083
Nuclear repulsion energy24.043890
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/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' 657 653 0.00      
2 A2" 79 79 97.60      
3 E' 863 857 32.65      
3 E' 863 857 32.67      
4 E' 186 185 17.66      
4 E' 186 185 17.72      

Unscaled Zero Point Vibrational Energy (zpe) 1417.4 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 1407.7 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/cc-pVTZ
ABC
0.53543 0.53543 0.26772

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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 1.730 0.000
Li3 1.498 -0.865 0.000
Li4 -1.498 -0.865 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.72961.72961.7296
Li21.72962.99582.9958
Li31.72962.99582.9958
Li41.72962.99582.9958

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/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.094      
2 Li -0.031      
3 Li -0.031      
4 Li -0.031      


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 -3.936 0.000 0.000
y 0.000 -3.936 0.000
z 0.000 0.000 -22.849
Traceless
 xyz
x 9.457 0.000 0.000
y 0.000 9.457 0.000
z 0.000 0.000 -18.913
Polar
3z2-r2-37.827
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 22.287 0.000 0.000
y 0.000 22.316 0.000
z 0.000 0.000 22.598


<r2> (average value of r2) Å2
<r2> 33.321
(<r2>)1/2 5.772

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-77.178083
Energy at 298.15K-77.178915
HF Energy-77.178083
Nuclear repulsion energy24.041122
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/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 657 653 0.00      
2 A1 80 79 97.51      
3 E 863 857 32.65      
3 E 862 857 32.67      
4 E 187 185 17.65      
4 E 186 185 17.70      

Unscaled Zero Point Vibrational Energy (zpe) 1417.3 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 1407.5 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/cc-pVTZ
ABC
0.53531 0.53531 0.26766

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

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.002
Li2 0.000 1.730 -0.001
Li3 1.498 -0.865 -0.001
Li4 -1.498 -0.865 -0.001

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.72981.72981.7298
Li21.72982.99622.9962
Li31.72982.99622.9962
Li41.72982.99622.9962

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 PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.093      
2 Li -0.031      
3 Li -0.031      
4 Li -0.031      


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 -0.012 0.012
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -3.934 0.000 0.000
y 0.000 -3.934 0.000
z 0.000 0.000 -22.851
Traceless
 xyz
x 9.459 0.000 0.000
y 0.000 9.459 0.000
z 0.000 0.000 -18.917
Polar
3z2-r2-37.834
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 22.294 0.000 0.000
y 0.000 22.323 -0.000
z 0.000 -0.000 22.606


<r2> (average value of r2) Å2
<r2> 33.327
(<r2>)1/2 5.773