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

using model chemistry: B3LYP/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 B3LYP/cc-pVTZ
 hartrees
Energy at 0K-77.332469
Energy at 298.15K-77.333463
HF Energy-77.332469
Nuclear repulsion energy24.227272
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 B3LYP/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' 681 658 0.00      
2 A2" 126 121 136.99      
3 E' 895 865 81.89      
3 E' 895 865 81.93      
4 E' 204 197 33.29      
4 E' 204 197 33.27      

Unscaled Zero Point Vibrational Energy (zpe) 1501.8 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 1451.6 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 B3LYP/cc-pVTZ
ABC
0.54363 0.54363 0.27182

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/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 1.717 0.000
Li3 1.487 -0.858 0.000
Li4 -1.487 -0.858 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.71651.71651.7165
Li21.71652.97312.9731
Li31.71652.97312.9731
Li41.71652.97312.9731

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 B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.060      
2 Li -0.020      
3 Li -0.020      
4 Li -0.020      


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 -3.150 0.000 0.000
y 0.000 -3.150 0.000
z 0.000 0.000 -22.339
Traceless
 xyz
x 9.595 0.000 0.000
y 0.000 9.595 0.000
z 0.000 0.000 -19.189
Polar
3z2-r2-38.378
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 18.346 0.000 0.000
y 0.000 18.362 0.000
z 0.000 0.000 19.852


<r2> (average value of r2) Å2
<r2> 32.481
(<r2>)1/2 5.699

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-77.332469
Energy at 298.15K-77.333463
HF Energy-77.332469
Nuclear repulsion energy24.228612
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 B3LYP/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 681 658 0.00      
2 A1 125 121 137.03      
3 E 895 865 81.89      
3 E 895 865 81.92      
4 E 204 197 33.30      
4 E 204 197 33.27      

Unscaled Zero Point Vibrational Energy (zpe) 1501.9 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 1451.7 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 B3LYP/cc-pVTZ
ABC
0.54369 0.54369 0.27185

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.001
Li2 0.000 1.716 -0.001
Li3 1.486 -0.858 -0.001
Li4 -1.486 -0.858 -0.001

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.71651.71651.7165
Li21.71652.97302.9730
Li31.71652.97302.9730
Li41.71652.97302.9730

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 B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.060      
2 Li -0.020      
3 Li -0.020      
4 Li -0.020      


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 -0.007 0.007
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -3.151 0.000 0.000
y 0.000 -3.151 0.000
z 0.000 0.000 -22.338
Traceless
 xyz
x 9.594 0.000 0.000
y 0.000 9.594 0.000
z 0.000 0.000 -19.187
Polar
3z2-r2-38.375
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 18.343 0.000 0.000
y 0.000 18.359 -0.000
z 0.000 -0.000 19.849


<r2> (average value of r2) Å2
<r2> 32.479
(<r2>)1/2 5.699