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

using model chemistry: TPSSh/aug-cc-pVDZ

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 TPSSh/aug-cc-pVDZ
 hartrees
Energy at 0K-77.300097
Energy at 298.15K-77.300907
HF Energy-77.300097
Nuclear repulsion energy23.858526
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 TPSSh/aug-cc-pVDZ
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' 661 640 0.00      
2 A2" 81 79 86.26      
3 E' 863 835 57.09      
3 E' 863 835 57.15      
4 E' 177 171 21.50      
4 E' 177 171 21.57      

Unscaled Zero Point Vibrational Energy (zpe) 1411.1 cm-1
Scaled (by 0.9673) Zero Point Vibrational Energy (zpe) 1364.9 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 TPSSh/aug-cc-pVDZ
ABC
0.52721 0.52721 0.26360

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/aug-cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.743 0.000
Li3 1.510 -0.872 0.000
Li4 -1.510 -0.872 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.74311.74311.7431
Li21.74313.01913.0191
Li31.74313.01913.0191
Li41.74313.01913.0191

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 TPSSh/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.479      
2 Li -0.160      
3 Li -0.160      
4 Li -0.160      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 20.583 0.000 0.000
y 0.000 20.621 0.000
z 0.000 0.000 23.579


<r2> (average value of r2) Å2
<r2> 33.317
(<r2>)1/2 5.772

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at TPSSh/aug-cc-pVDZ
 hartrees
Energy at 0K-77.300097
Energy at 298.15K-77.300906
HF Energy-77.300097
Nuclear repulsion energy23.859362
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 TPSSh/aug-cc-pVDZ
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 661 640 0.00      
2 A1 81 79 86.28      
3 E 863 835 57.09      
3 E 863 835 57.15      
4 E 177 171 21.51      
4 E 177 171 21.58      

Unscaled Zero Point Vibrational Energy (zpe) 1411.1 cm-1
Scaled (by 0.9673) Zero Point Vibrational Energy (zpe) 1365.0 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 TPSSh/aug-cc-pVDZ
ABC
0.52725 0.52725 0.26362

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/aug-cc-pVDZ

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.001
Li2 0.000 1.743 -0.001
Li3 1.509 -0.872 -0.001
Li4 -1.509 -0.872 -0.001

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.74301.74301.7430
Li21.74303.01903.0190
Li31.74303.01903.0190
Li41.74303.01903.0190

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 TPSSh/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.479      
2 Li -0.160      
3 Li -0.160      
4 Li -0.160      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 20.581 0.000 0.000
y 0.000 20.619 0.000
z 0.000 0.000 23.576


<r2> (average value of r2) Å2
<r2> 33.316
(<r2>)1/2 5.772