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: PBE1PBE/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 PBE1PBE/6-311G**
 hartrees
Energy at 0K-77.170900
Energy at 298.15K-77.171858
HF Energy-77.170900
Nuclear repulsion energy24.178617
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/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' 681 653 0.00      
2 A2" 107 103 119.82      
3 E' 895 859 87.64      
3 E' 895 859 87.54      
4 E' 203 195 31.53      
4 E' 203 195 31.57      

Unscaled Zero Point Vibrational Energy (zpe) 1492.3 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 1431.7 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 PBE1PBE/6-311G**
ABC
0.54145 0.54145 0.27072

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.720 0.000
Li3 1.490 -0.860 0.000
Li4 -1.490 -0.860 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.72001.72001.7200
Li21.72002.97912.9791
Li31.72002.97912.9791
Li41.72002.97912.9791

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.677      
2 Li 0.226      
3 Li 0.226      
4 Li 0.226      


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 -2.971 0.000 0.000
y 0.000 -2.971 0.000
z 0.000 0.000 -21.830
Traceless
 xyz
x 9.429 0.000 0.000
y 0.000 9.429 0.000
z 0.000 0.000 -18.858
Polar
3z2-r2-37.717
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 17.821 0.000 0.000
y 0.000 17.855 0.000
z 0.000 0.000 19.661


<r2> (average value of r2) Å2
<r2> 32.408
(<r2>)1/2 5.693

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at PBE1PBE/6-311G**
 hartrees
Energy at 0K-77.170900
Energy at 298.15K-77.171857
HF Energy-77.170900
Nuclear repulsion energy24.180110
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/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 681 654 0.00      
2 A1 107 103 119.87      
3 E 895 859 87.64      
3 E 895 859 87.54      
4 E 203 195 31.54      
4 E 203 195 31.58      

Unscaled Zero Point Vibrational Energy (zpe) 1492.4 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 1431.8 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 PBE1PBE/6-311G**
ABC
0.54152 0.54152 0.27076

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.720 -0.001
Li3 1.489 -0.860 -0.001
Li4 -1.489 -0.860 -0.001

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.71991.71991.7199
Li21.71992.97892.9789
Li31.71992.97892.9789
Li41.71992.97892.9789

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.677      
2 Li 0.226      
3 Li 0.226      
4 Li 0.226      


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 -2.972 0.000 0.000
y 0.000 -2.972 0.000
z 0.000 0.000 -21.829
Traceless
 xyz
x 9.428 0.000 0.000
y 0.000 9.428 0.000
z 0.000 0.000 -18.856
Polar
3z2-r2-37.713
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 17.817 0.000 0.000
y 0.000 17.852 -0.001
z 0.000 -0.001 19.657


<r2> (average value of r2) Å2
<r2> 32.405
(<r2>)1/2 5.692