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

using model chemistry: B3PW91/6-311G*

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 B3PW91/6-311G*
 hartrees
Energy at 0K-77.264417
Energy at 298.15K-77.265348
HF Energy-77.264417
Nuclear repulsion energy24.117076
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 B3PW91/6-311G*
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' 674 649 0.00      
2 A2" 103 99 109.16      
3 E' 885 852 82.06      
3 E' 885 852 81.92      
4 E' 202 195 28.91      
4 E' 202 195 28.94      

Unscaled Zero Point Vibrational Energy (zpe) 1475.1 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 1420.1 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 B3PW91/6-311G*
ABC
0.53870 0.53870 0.26935

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.724 0.000
Li3 1.493 -0.862 0.000
Li4 -1.493 -0.862 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.72441.72441.7244
Li21.72442.98672.9867
Li31.72442.98672.9867
Li41.72442.98672.9867

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 B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.656      
2 Li 0.219      
3 Li 0.219      
4 Li 0.219      


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 -2.974 0.000 0.000
y 0.000 -2.974 0.000
z 0.000 0.000 -21.914
Traceless
 xyz
x 9.470 0.000 0.000
y 0.000 9.470 0.000
z 0.000 0.000 -18.940
Polar
3z2-r2-37.879
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 18.693 0.000 0.000
y 0.000 18.734 0.000
z 0.000 0.000 20.709


<r2> (average value of r2) Å2
<r2> 32.562
(<r2>)1/2 5.706

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-77.264417
Energy at 298.15K-77.265347
HF Energy-77.264417
Nuclear repulsion energy24.120099
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 B3PW91/6-311G*
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 674 649 0.00      
2 A1 102 99 109.27      
3 E 885 852 82.06      
3 E 885 852 81.93      
4 E 202 195 28.93      
4 E 202 195 28.96      

Unscaled Zero Point Vibrational Energy (zpe) 1475.3 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 1420.3 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 B3PW91/6-311G*
ABC
0.53883 0.53883 0.26942

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.001
Li2 0.000 1.724 -0.001
Li3 1.493 -0.862 -0.001
Li4 -1.493 -0.862 -0.001

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.72421.72421.7242
Li21.72422.98642.9864
Li31.72422.98642.9864
Li41.72422.98642.9864

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 B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.656      
2 Li 0.219      
3 Li 0.219      
4 Li 0.219      


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 -0.009 0.009
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -2.976 0.000 0.000
y 0.000 -2.976 0.000
z 0.000 0.000 -21.911
Traceless
 xyz
x 9.468 0.000 0.000
y 0.000 9.468 0.000
z 0.000 0.000 -18.935
Polar
3z2-r2-37.871
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 18.686 0.000 0.000
y 0.000 18.726 -0.001
z 0.000 -0.001 20.699


<r2> (average value of r2) Å2
<r2> 32.556
(<r2>)1/2 5.706