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

using model chemistry: HF/STO-3G

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 HF/STO-3G
 hartrees
Energy at 0K-75.761785
Energy at 298.15K-75.763070
HF Energy-75.761785
Nuclear repulsion energy24.692771
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 HF/STO-3G
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' 844 689 0.00      
2 A2" 235 192 66.55      
3 E' 1033 844 304.57      
3 E' 1033 844 304.57      
4 E' 271 221 39.64      
4 E' 271 221 39.64      

Unscaled Zero Point Vibrational Energy (zpe) 1843.2 cm-1
Scaled (by 0.8165) Zero Point Vibrational Energy (zpe) 1505.0 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 HF/STO-3G
ABC
0.56472 0.56472 0.28236

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/STO-3G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.684 0.000
Li3 1.459 -0.842 0.000
Li4 -1.459 -0.842 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.68421.68421.6842
Li21.68422.91712.9171
Li31.68422.91712.9171
Li41.68422.91712.9171

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 HF/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.229      
2 Li 0.076      
3 Li 0.076      
4 Li 0.076      


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 -4.614 0.000 0.000
y 0.000 -4.614 0.000
z 0.000 0.000 -20.577
Traceless
 xyz
x 7.981 0.000 0.000
y 0.000 7.981 0.000
z 0.000 0.000 -15.963
Polar
3z2-r2-31.926
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 9.533 0.000 0.000
y 0.000 9.533 0.000
z 0.000 0.000 8.212


<r2> (average value of r2) Å2
<r2> 31.733
(<r2>)1/2 5.633

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at HF/STO-3G
 hartrees
Energy at 0K-75.761785
Energy at 298.15K-75.763070
HF Energy-75.761785
Nuclear repulsion energy24.693203
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 HF/STO-3G
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 844 689 0.00      
2 A1 235 192 66.56      
3 E 1033 844 304.55      
3 E 1033 844 304.55      
4 E 271 221 39.64      
4 E 271 221 39.64      

Unscaled Zero Point Vibrational Energy (zpe) 1843.2 cm-1
Scaled (by 0.8165) Zero Point Vibrational Energy (zpe) 1505.0 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 HF/STO-3G
ABC
0.56474 0.56474 0.28237

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/STO-3G

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 -0.000
Li2 0.000 1.684 0.000
Li3 1.459 -0.842 0.000
Li4 -1.459 -0.842 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.68421.68421.6842
Li21.68422.91702.9170
Li31.68422.91702.9170
Li41.68422.91702.9170

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 HF/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.229      
2 Li 0.076      
3 Li 0.076      
4 Li 0.076      


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 -4.614 0.000 0.000
y 0.000 -4.614 0.000
z 0.000 0.000 -20.576
Traceless
 xyz
x 7.981 0.000 0.000
y 0.000 7.981 0.000
z 0.000 0.000 -15.963
Polar
3z2-r2-31.925
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 9.532 0.000 0.000
y 0.000 9.532 0.000
z 0.000 0.000 8.212


<r2> (average value of r2) Å2
<r2> 31.733
(<r2>)1/2 5.633