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

using model chemistry: PBE1PBE/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 PBE1PBE/3-21G*
 hartrees
Energy at 0K-76.721354
Energy at 298.15K-76.722379
HF Energy-76.721354
Nuclear repulsion energy23.868646
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 PBE1PBE/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' 706 678 0.00      
2 A2" 115 111 92.31      
3 E' 920 883 81.22      
3 E' 920 883 80.92      
4 E' 217 208 27.28      
4 E' 217 208 27.22      

Unscaled Zero Point Vibrational Energy (zpe) 1547.1 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 1484.9 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 PBE1PBE/3-21G*
ABC
0.52766 0.52766 0.26383

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.742 0.000
Li3 1.509 -0.871 0.000
Li4 -1.509 -0.871 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.74231.74231.7423
Li21.74233.01783.0178
Li31.74233.01783.0178
Li41.74233.01783.0178

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 PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.658      
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 -3.917 0.000 0.000
y 0.000 -3.917 0.000
z 0.000 0.000 -23.165
Traceless
 xyz
x 9.624 0.000 0.000
y 0.000 9.624 0.000
z 0.000 0.000 -19.248
Polar
3z2-r2-38.496
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 19.633 0.000 0.000
y 0.000 19.659 0.000
z 0.000 0.000 22.652


<r2> (average value of r2) Å2
<r2> 33.775
(<r2>)1/2 5.812

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at PBE1PBE/3-21G*
 hartrees
Energy at 0K-76.721354
Energy at 298.15K-76.722378
HF Energy-76.721354
Nuclear repulsion energy23.872035
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 PBE1PBE/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 706 678 0.00      
2 A1 115 110 92.44      
3 E 920 883 81.21      
3 E 920 883 80.91      
4 E 217 208 27.30      
4 E 217 208 27.24      

Unscaled Zero Point Vibrational Energy (zpe) 1547.5 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 1485.3 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 PBE1PBE/3-21G*
ABC
0.52781 0.52781 0.26390

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.001
Li2 0.000 1.742 -0.000
Li3 1.509 -0.871 -0.000
Li4 -1.509 -0.871 -0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.74211.74211.7421
Li21.74213.01743.0174
Li31.74213.01743.0174
Li41.74213.01743.0174

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 PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.659      
2 Li 0.220      
3 Li 0.220      
4 Li 0.220      


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 -0.005 0.005
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -3.918 0.000 0.000
y 0.000 -3.918 0.000
z 0.000 0.000 -23.161
Traceless
 xyz
x 9.621 0.000 0.000
y 0.000 9.621 0.000
z 0.000 0.000 -19.243
Polar
3z2-r2-38.485
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 19.624 0.000 0.000
y 0.000 19.650 0.000
z 0.000 0.000 22.639


<r2> (average value of r2) Å2
<r2> 33.767
(<r2>)1/2 5.811