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

using model chemistry: M06-2X/3-21G

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 M06-2X/3-21G
 hartrees
Energy at 0K-76.824843
Energy at 298.15K-76.826031
HF Energy-76.824843
Nuclear repulsion energy23.965203
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 M06-2X/3-21G
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' 730 700 0.00      
2 A2" 172 165 181.95      
3 E' 947 907 165.07      
3 E' 946 907 164.22      
4 E' 232 223 47.97      
4 E' 232 222 47.43      

Unscaled Zero Point Vibrational Energy (zpe) 1629.6 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 1562.3 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 M06-2X/3-21G
ABC
0.53193 0.53193 0.26597

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.735 0.000
Li3 1.503 -0.868 0.000
Li4 -1.503 -0.868 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.73531.73531.7353
Li21.73533.00573.0057
Li31.73533.00573.0057
Li41.73533.00573.0057

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 M06-2X/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.641      
2 Li 0.214      
3 Li 0.214      
4 Li 0.214      


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 -3.300 0.000 0.000
y 0.000 -3.300 0.000
z 0.000 0.000 -22.625
Traceless
 xyz
x 9.663 0.000 0.000
y 0.000 9.663 0.000
z 0.000 0.000 -19.325
Polar
3z2-r2-38.650
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 15.517 0.000 0.000
y 0.000 15.417 0.000
z 0.000 0.000 17.172


<r2> (average value of r2) Å2
<r2> 33.186
(<r2>)1/2 5.761

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at M06-2X/3-21G
 hartrees
Energy at 0K-76.824843
Energy at 298.15K-76.826031
HF Energy-76.824843
Nuclear repulsion energy23.965253
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 M06-2X/3-21G
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 730 700 0.00      
2 A1 172 165 181.95      
3 E 947 907 165.07      
3 E 946 907 164.22      
4 E 232 223 47.97      
4 E 232 222 47.43      

Unscaled Zero Point Vibrational Energy (zpe) 1629.6 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 1562.3 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 M06-2X/3-21G
ABC
0.53194 0.53194 0.26597

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 -0.000
Li2 0.000 1.735 0.000
Li3 1.503 -0.868 0.000
Li4 -1.503 -0.868 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.73531.73531.7353
Li21.73533.00573.0057
Li31.73533.00573.0057
Li41.73533.00573.0057

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 M06-2X/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.641      
2 Li 0.214      
3 Li 0.214      
4 Li 0.214      


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 -3.300 0.000 0.000
y 0.000 -3.300 0.000
z 0.000 0.000 -22.625
Traceless
 xyz
x 9.662 0.000 0.000
y 0.000 9.662 0.000
z 0.000 0.000 -19.325
Polar
3z2-r2-38.650
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 15.517 0.000 0.000
y 0.000 15.417 0.000
z 0.000 0.000 17.172


<r2> (average value of r2) Å2
<r2> 33.186
(<r2>)1/2 5.761