Jump to
S1C2
Energy calculated at B3PW91/6-31G(2df,p)
| hartrees |
Energy at 0K | -77.246267 |
Energy at 298.15K | -77.247116 |
HF Energy | -77.246267 |
Nuclear repulsion energy | 23.997885 |
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 B3PW91/6-31G(2df,p)
Mode Number |
Symmetry |
Frequency (cm-1) |
Scaled Frequency (cm-1) |
IR Intensities (km mol-1) |
Raman Act (Å4/u) |
Dep P |
Dep U |
1 |
A1' |
669 |
643 |
0.00 |
|
|
|
2 |
A2" |
92 |
89 |
117.67 |
|
|
|
3 |
E' |
880 |
846 |
71.24 |
|
|
|
3 |
E' |
880 |
846 |
71.25 |
|
|
|
4 |
E' |
182 |
175 |
30.19 |
|
|
|
4 |
E' |
182 |
175 |
30.16 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 1442.5 cm
-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 1386.8 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.
Geometric Data calculated at B3PW91/6-31G(2df,p)
Point Group is D3h
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
N1 |
0.000 |
0.000 |
0.000 |
Li2 |
0.000 |
1.733 |
0.000 |
Li3 |
1.501 |
-0.866 |
0.000 |
Li4 |
-1.501 |
-0.866 |
0.000 |
Atom - Atom Distances (Å)
|
N1 |
Li2 |
Li3 |
Li4 |
N1 | | 1.7330 | 1.7330 | 1.7330 |
Li2 | 1.7330 | | 3.0016 | 3.0016 | Li3 | 1.7330 | 3.0016 | | 3.0016 | Li4 | 1.7330 | 3.0016 | 3.0016 | |
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 B3PW91/6-31G(2df,p)
Charges (e)
Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
1 |
N |
-0.561 |
|
|
|
2 |
Li |
0.187 |
|
|
|
3 |
Li |
0.187 |
|
|
|
4 |
Li |
0.187 |
|
|
|
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 |
| x | y | z |
x |
-2.438 |
0.000 |
0.000 |
y |
0.000 |
-2.438 |
0.000 |
z |
0.000 |
0.000 |
-21.803 |
|
Traceless |
| x | y | z |
x |
9.682 |
0.000 |
0.000 |
y |
0.000 |
9.682 |
0.000 |
z |
0.000 |
0.000 |
-19.365 |
|
Polar |
3z2-r2 | -38.730 |
x2-y2 | 0.000 |
xy | 0.000 |
xz | 0.000 |
yz | 0.000 |
|
Polarizabilities
Components of the polarizability tensor.
Units are
Å
3 (Angstrom cubed)
Change units.
|
x |
y |
z |
x |
18.520 |
0.000 |
0.000 |
y |
0.000 |
18.543 |
0.000 |
z |
0.000 |
0.000 |
18.501 |
<r2> (average value of r
2) Å
2
<r2> |
32.583 |
(<r2>)1/2 |
5.708 |
Jump to
S1C1
Energy calculated at B3PW91/6-31G(2df,p)
| hartrees |
Energy at 0K | -77.246267 |
Energy at 298.15K | -77.247116 |
HF Energy | -77.246267 |
Nuclear repulsion energy | 23.996715 |
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 B3PW91/6-31G(2df,p)
Mode Number |
Symmetry |
Frequency (cm-1) |
Scaled Frequency (cm-1) |
IR Intensities (km mol-1) |
Raman Act (Å4/u) |
Dep P |
Dep U |
1 |
A1 |
668 |
643 |
0.00 |
|
|
|
2 |
A1 |
92 |
89 |
117.63 |
|
|
|
3 |
E |
880 |
846 |
71.24 |
|
|
|
3 |
E |
880 |
846 |
71.25 |
|
|
|
4 |
E |
182 |
175 |
30.18 |
|
|
|
4 |
E |
182 |
175 |
30.16 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 1442.4 cm
-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 1386.8 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.
Geometric Data calculated at B3PW91/6-31G(2df,p)
Point Group is C3v
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
N1 |
0.000 |
0.000 |
0.000 |
Li2 |
0.000 |
1.733 |
-0.000 |
Li3 |
1.501 |
-0.867 |
-0.000 |
Li4 |
-1.501 |
-0.867 |
-0.000 |
Atom - Atom Distances (Å)
|
N1 |
Li2 |
Li3 |
Li4 |
N1 | | 1.7330 | 1.7330 | 1.7330 |
Li2 | 1.7330 | | 3.0017 | 3.0017 | Li3 | 1.7330 | 3.0017 | | 3.0017 | Li4 | 1.7330 | 3.0017 | 3.0017 | |
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 B3PW91/6-31G(2df,p)
Charges (e)
Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
1 |
N |
-0.561 |
|
|
|
2 |
Li |
0.187 |
|
|
|
3 |
Li |
0.187 |
|
|
|
4 |
Li |
0.187 |
|
|
|
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 |
-0.004 |
0.004 |
CHELPG |
|
|
|
|
AIM |
|
|
|
|
ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
Primitive |
| x | y | z |
x |
-2.437 |
0.000 |
0.000 |
y |
0.000 |
-2.437 |
0.000 |
z |
0.000 |
0.000 |
-21.804 |
|
Traceless |
| x | y | z |
x |
9.683 |
0.000 |
0.000 |
y |
0.000 |
9.683 |
0.000 |
z |
0.000 |
0.000 |
-19.366 |
|
Polar |
3z2-r2 | -38.733 |
x2-y2 | 0.000 |
xy | 0.000 |
xz | 0.000 |
yz | 0.000 |
|
Polarizabilities
Components of the polarizability tensor.
Units are
Å
3 (Angstrom cubed)
Change units.
|
x |
y |
z |
x |
18.523 |
0.000 |
0.000 |
y |
0.000 |
18.546 |
0.000 |
z |
0.000 |
0.000 |
18.504 |
<r2> (average value of r
2) Å
2
<r2> |
32.585 |
(<r2>)1/2 |
5.708 |