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

using model chemistry: B3LYPultrafine/6-311G*

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 B3LYPultrafine/6-311G*
 hartrees
Energy at 0K-77.325410
Energy at 298.15K-77.326379
HF Energy-77.325410
Nuclear repulsion energy24.158556
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 B3LYPultrafine/6-311G*
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' 677 654 0.00      
2 A2" 123 119 119.24      
3 E' 889 859 83.97      
3 E' 889 859 83.96      
4 E' 202 195 31.43      
4 E' 202 195 31.43      

Unscaled Zero Point Vibrational Energy (zpe) 1491.1 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 1440.8 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 B3LYPultrafine/6-311G*
ABC
0.54055 0.54055 0.27028

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-311G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.721 0.000
Li3 1.491 -0.861 0.000
Li4 -1.491 -0.861 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.72141.72141.7214
Li21.72142.98162.9816
Li31.72142.98162.9816
Li41.72142.98162.9816

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 B3LYPultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.649      
2 Li 0.216      
3 Li 0.216      
4 Li 0.216      


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 -3.461 0.000 0.000
y 0.000 -3.461 0.000
z 0.000 0.000 -22.193
Traceless
 xyz
x 9.366 0.000 0.000
y 0.000 9.366 0.000
z 0.000 0.000 -18.732
Polar
3z2-r2-37.464
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 18.567 0.000 0.000
y 0.000 18.565 0.000
z 0.000 0.000 20.377


<r2> (average value of r2) Å2
<r2> 32.732
(<r2>)1/2 5.721

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at B3LYPultrafine/6-311G*
 hartrees
Energy at 0K-77.325410
Energy at 298.15K-77.326379
HF Energy-77.325410
Nuclear repulsion energy24.160180
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 B3LYPultrafine/6-311G*
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 677 654 0.00      
2 A1 123 119 119.30      
3 E 889 859 83.97      
3 E 889 859 83.96      
4 E 202 195 31.44      
4 E 202 195 31.44      

Unscaled Zero Point Vibrational Energy (zpe) 1491.2 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 1441.0 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 B3LYPultrafine/6-311G*
ABC
0.54062 0.54062 0.27031

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-311G*

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.001
Li2 0.000 1.721 -0.001
Li3 1.491 -0.861 -0.001
Li4 -1.491 -0.861 -0.001

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.72131.72131.7213
Li21.72132.98142.9814
Li31.72132.98142.9814
Li41.72132.98142.9814

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 B3LYPultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.648      
2 Li 0.216      
3 Li 0.216      
4 Li 0.216      


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 -0.006 0.006
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -3.462 0.000 0.000
y 0.000 -3.462 0.000
z 0.000 0.000 -22.192
Traceless
 xyz
x 9.365 0.000 0.000
y 0.000 9.365 0.000
z 0.000 0.000 -18.730
Polar
3z2-r2-37.460
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 18.563 0.000 0.000
y 0.000 18.561 0.000
z 0.000 0.000 20.372


<r2> (average value of r2) Å2
<r2> 32.728
(<r2>)1/2 5.721