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

using model chemistry: mPW1PW91/6-31G*

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 mPW1PW91/6-31G*
 hartrees
Energy at 0K-77.240151
Energy at 298.15K-77.241035
HF Energy-77.240151
Nuclear repulsion energy23.801456
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 mPW1PW91/6-31G*
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' 678 643 0.00      
2 A2" 74 70 105.68      
3 E' 880 834 98.50      
3 E' 879 834 97.95      
4 E' 208 197 27.02      
4 E' 208 197 26.90      

Unscaled Zero Point Vibrational Energy (zpe) 1463.2 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 1387.6 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 mPW1PW91/6-31G*
ABC
0.52469 0.52469 0.26234

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.000
Li2 0.000 1.747 0.000
Li3 1.513 -0.874 0.000
Li4 -1.513 -0.874 0.000

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.74731.74731.7473
Li21.74733.02633.0263
Li31.74733.02633.0263
Li41.74733.02633.0263

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 mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.781      
2 Li 0.260      
3 Li 0.260      
4 Li 0.260      


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 -2.784 0.000 0.000
y 0.000 -2.784 0.000
z 0.000 0.000 -21.961
Traceless
 xyz
x 9.588 0.000 0.000
y 0.000 9.588 0.000
z 0.000 0.000 -19.177
Polar
3z2-r2-38.354
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 18.530 0.000 0.000
y 0.000 18.571 0.000
z 0.000 0.000 18.341


<r2> (average value of r2) Å2
<r2> 33.208
(<r2>)1/2 5.763

Conformer 2 (C3V)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-77.240151
Energy at 298.15K-77.241033
HF Energy-77.240151
Nuclear repulsion energy23.805394
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 mPW1PW91/6-31G*
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 679 644 0.00      
2 A1 73 69 105.83      
3 E 880 835 98.52      
3 E 880 835 97.97      
4 E 208 197 27.05      
4 E 208 197 26.93      

Unscaled Zero Point Vibrational Energy (zpe) 1463.3 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 1387.7 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 mPW1PW91/6-31G*
ABC
0.52486 0.52486 0.26243

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 0.001
Li2 0.000 1.747 -0.001
Li3 1.513 -0.873 -0.001
Li4 -1.513 -0.873 -0.001

Atom - Atom Distances (Å)
  N1 Li2 Li3 Li4
N11.74701.74701.7470
Li21.74703.02583.0258
Li31.74703.02583.0258
Li41.74703.02583.0258

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 mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.781      
2 Li 0.260      
3 Li 0.260      
4 Li 0.260      


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 -0.006 0.006
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -2.787 0.000 0.000
y 0.000 -2.787 0.000
z 0.000 0.000 -21.959
Traceless
 xyz
x 9.586 0.000 0.000
y 0.000 9.586 0.000
z 0.000 0.000 -19.171
Polar
3z2-r2-38.343
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 18.521 0.000 0.000
y 0.000 18.562 0.000
z 0.000 0.000 18.331


<r2> (average value of r2) Å2
<r2> 33.199
(<r2>)1/2 5.762