return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3PW91/6-31G(2df,p)

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 B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-77.246267
Energy at 298.15K-77.247116
HF Energy-77.246267
Nuclear repulsion energy23.997885
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 B3PW91/6-31G(2df,p)
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' 669 643 0.00      
2 A2" 92 89 117.67      
3 E' 880 846 71.24      
3 E' 880 846 71.25      
4 E' 182 175 30.19      
4 E' 182 175 30.16      

Unscaled Zero Point Vibrational Energy (zpe) 1442.5 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 1386.8 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 B3PW91/6-31G(2df,p)
ABC
0.53339 0.53339 0.26669

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.733 0.000
Li3 1.501 -0.866 0.000
Li4 -1.501 -0.866 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.73301.73301.7330
Li21.73303.00163.0016
Li31.73303.00163.0016
Li41.73303.00163.0016

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 B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.561      
2 Li 0.187      
3 Li 0.187      
4 Li 0.187      


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 -2.438 0.000 0.000
y 0.000 -2.438 0.000
z 0.000 0.000 -21.803
Traceless
 xyz
x 9.682 0.000 0.000
y 0.000 9.682 0.000
z 0.000 0.000 -19.365
Polar
3z2-r2-38.730
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 18.520 0.000 0.000
y 0.000 18.543 0.000
z 0.000 0.000 18.501


<r2> (average value of r2) Å2
<r2> 32.583
(<r2>)1/2 5.708

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-77.246267
Energy at 298.15K-77.247116
HF Energy-77.246267
Nuclear repulsion energy23.996715
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 B3PW91/6-31G(2df,p)
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 668 643 0.00      
2 A1 92 89 117.63      
3 E 880 846 71.24      
3 E 880 846 71.25      
4 E 182 175 30.18      
4 E 182 175 30.16      

Unscaled Zero Point Vibrational Energy (zpe) 1442.4 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 1386.8 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 B3PW91/6-31G(2df,p)
ABC
0.53333 0.53333 0.26667

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.733 -0.000
Li3 1.501 -0.867 -0.000
Li4 -1.501 -0.867 -0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.73301.73301.7330
Li21.73303.00173.0017
Li31.73303.00173.0017
Li41.73303.00173.0017

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 B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.561      
2 Li 0.187      
3 Li 0.187      
4 Li 0.187      


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 -0.004 0.004
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -2.437 0.000 0.000
y 0.000 -2.437 0.000
z 0.000 0.000 -21.804
Traceless
 xyz
x 9.683 0.000 0.000
y 0.000 9.683 0.000
z 0.000 0.000 -19.366
Polar
3z2-r2-38.733
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 18.523 0.000 0.000
y 0.000 18.546 0.000
z 0.000 0.000 18.504


<r2> (average value of r2) Å2
<r2> 32.585
(<r2>)1/2 5.708