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

using model chemistry: HF/LANL2DZ

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 HF/LANL2DZ
 hartrees
Energy at 0K-76.732220
Energy at 298.15K-76.733438
HF Energy-76.732220
Nuclear repulsion energy23.677635
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 HF/LANL2DZ
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' 704 633 0.00      
2 A2" 188 170 189.67      
3 E' 907 816 249.60      
3 E' 907 816 249.60      
4 E' 249 224 71.40      
4 E' 249 224 71.40      

Unscaled Zero Point Vibrational Energy (zpe) 1601.7 cm-1
Scaled (by 0.8999) Zero Point Vibrational Energy (zpe) 1441.3 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 HF/LANL2DZ
ABC
0.51924 0.51924 0.25962

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/LANL2DZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.756 0.000
Li3 1.521 -0.878 0.000
Li4 -1.521 -0.878 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.75641.75641.7564
Li21.75643.04223.0422
Li31.75643.04223.0422
Li41.75643.04223.0422

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 HF/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -1.211      
2 Li 0.404      
3 Li 0.404      
4 Li 0.404      


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 -0.954 0.000 0.000
y 0.000 -0.954 0.000
z 0.000 0.000 -22.653
Traceless
 xyz
x 10.849 0.000 0.000
y 0.000 10.849 0.000
z 0.000 0.000 -21.699
Polar
3z2-r2-43.398
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 13.441 0.000 0.000
y 0.000 13.441 0.000
z 0.000 0.000 17.172


<r2> (average value of r2) Å2
<r2> 32.878
(<r2>)1/2 5.734

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at HF/LANL2DZ
 hartrees
Energy at 0K-76.732220
Energy at 298.15K-76.733438
HF Energy-76.732220
Nuclear repulsion energy23.675951
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 HF/LANL2DZ
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 704 633 0.00      
2 A1 189 170 189.57      
3 E 907 816 249.62      
3 E 907 816 249.62      
4 E 249 224 71.38      
4 E 249 224 71.38      

Unscaled Zero Point Vibrational Energy (zpe) 1601.5 cm-1
Scaled (by 0.8999) Zero Point Vibrational Energy (zpe) 1441.2 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 HF/LANL2DZ
ABC
0.51917 0.51917 0.25959

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/LANL2DZ

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 -0.000
Li2 0.000 1.757 0.000
Li3 1.521 -0.878 0.000
Li4 -1.521 -0.878 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.75651.75651.7565
Li21.75653.04243.0424
Li31.75653.04243.0424
Li41.75653.04243.0424

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 HF/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -1.211      
2 Li 0.404      
3 Li 0.404      
4 Li 0.404      


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 -0.953 0.000 0.000
y 0.000 -0.953 0.000
z 0.000 0.000 -22.655
Traceless
 xyz
x 10.851 0.000 0.000
y 0.000 10.851 0.000
z 0.000 0.000 -21.702
Polar
3z2-r2-43.404
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 13.444 0.000 0.000
y 0.000 13.444 0.000
z 0.000 0.000 17.177


<r2> (average value of r2) Å2
<r2> 32.881
(<r2>)1/2 5.734