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

using model chemistry: wB97X-D/6-31+G**

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 wB97X-D/6-31+G**
 hartrees
Energy at 0K-77.265372
Energy at 298.15K-77.266393
HF Energy-77.265372
Nuclear repulsion energy23.915417
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 wB97X-D/6-31+G**
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' 662 631 0.00      
2 A2" 138 131 124.23      
3 E' 879 837 122.43      
3 E' 879 837 122.26      
4 E' 216 205 35.56      
4 E' 216 205 35.35      

Unscaled Zero Point Vibrational Energy (zpe) 1494.6 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 1423.3 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 wB97X-D/6-31+G**
ABC
0.52986 0.52986 0.26493

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31+G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.730 0.000
Li3 1.498 -0.865 0.000
Li4 -1.498 -0.865 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.72991.72991.7299
Li21.72992.99632.9963
Li31.72992.99632.9963
Li41.72992.99632.9963

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 wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.206      
2 Li -0.069      
3 Li -0.069      
4 Li -0.069      


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 -2.654 0.000 0.000
y 0.000 -2.654 0.000
z 0.000 0.000 -22.860
Traceless
 xyz
x 10.103 0.000 0.000
y 0.000 10.103 0.000
z 0.000 0.000 -20.206
Polar
3z2-r2-40.412
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 18.126 0.000 0.000
y 0.000 18.144 0.000
z 0.000 0.000 20.598


<r2> (average value of r2) Å2
<r2> 33.072
(<r2>)1/2 5.751

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at wB97X-D/6-31+G**
 hartrees
Energy at 0K-77.265372
Energy at 298.15K-77.266393
HF Energy-77.265372
Nuclear repulsion energy23.915991
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 wB97X-D/6-31+G**
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 662 631 0.00      
2 A1 138 131 124.25      
3 E 879 837 122.42      
3 E 879 837 122.26      
4 E 216 205 35.56      
4 E 216 205 35.35      

Unscaled Zero Point Vibrational Energy (zpe) 1494.7 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 1423.4 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 wB97X-D/6-31+G**
ABC
0.52988 0.52988 0.26494

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31+G**

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.082
Li2 0.000 1.731 -0.064
Li3 1.500 -0.866 -0.064
Li4 -1.500 -0.866 -0.064

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.73761.73761.7376
Li21.73762.99902.9990
Li31.73762.99902.9990
Li41.73762.99902.9990

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 119.306 Li2 N1 Li4 119.306
Li3 N1 Li4 119.306
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.206      
2 Li -0.069      
3 Li -0.069      
4 Li -0.069      


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 -0.002 0.002
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -2.654 0.000 0.000
y 0.000 -2.654 0.000
z 0.000 0.000 -22.859
Traceless
 xyz
x 10.103 0.000 0.000
y 0.000 10.103 0.000
z 0.000 0.000 -20.205
Polar
3z2-r2-40.410
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 18.125 0.000 0.000
y 0.000 18.143 0.000
z 0.000 0.000 20.596


<r2> (average value of r2) Å2
<r2> 33.071
(<r2>)1/2 5.751