Jump to
S1C2
Energy calculated at PBEPBE/Def2TZVPP
| hartrees |
Energy at 0K | -77.178542 |
Energy at 298.15K | -77.179388 |
HF Energy | -77.178542 |
Nuclear repulsion energy | 23.997191 |
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 PBEPBE/Def2TZVPP
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' |
660 |
652 |
0.00 |
|
|
|
2 |
A2" |
83 |
82 |
85.00 |
|
|
|
3 |
E' |
862 |
851 |
29.09 |
|
|
|
3 |
E' |
862 |
851 |
28.95 |
|
|
|
4 |
E' |
191 |
189 |
12.96 |
|
|
|
4 |
E' |
191 |
189 |
12.92 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 1424.3 cm
-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 1407.0 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.
Geometric Data calculated at PBEPBE/Def2TZVPP
Point Group is D3h
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
N1 |
0.000 |
0.000 |
0.000 |
Li2 |
0.000 |
1.727 |
0.000 |
Li3 |
1.496 |
-0.863 |
0.000 |
Li4 |
-1.496 |
-0.863 |
0.000 |
Atom - Atom Distances (Å)
|
N1 |
Li2 |
Li3 |
Li4 |
N1 | | 1.7269 | 1.7269 | 1.7269 |
Li2 | 1.7269 | | 2.9911 | 2.9911 | Li3 | 1.7269 | 2.9911 | | 2.9911 | Li4 | 1.7269 | 2.9911 | 2.9911 | |
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 PBEPBE/Def2TZVPP
Charges (e)
Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
1 |
N |
-1.258 |
|
|
|
2 |
Li |
0.419 |
|
|
|
3 |
Li |
0.419 |
|
|
|
4 |
Li |
0.419 |
|
|
|
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 |
-3.958 |
0.000 |
0.000 |
y |
0.000 |
-3.958 |
0.000 |
z |
0.000 |
0.000 |
-22.118 |
|
Traceless |
| x | y | z |
x |
9.080 |
0.000 |
0.000 |
y |
0.000 |
9.080 |
0.000 |
z |
0.000 |
0.000 |
-18.160 |
|
Polar |
3z2-r2 | -36.320 |
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 |
20.354 |
0.000 |
0.000 |
y |
0.000 |
20.389 |
0.000 |
z |
0.000 |
0.000 |
19.743 |
<r2> (average value of r
2) Å
2
<r2> |
33.283 |
(<r2>)1/2 |
5.769 |
Jump to
S1C1
Energy calculated at PBEPBE/Def2TZVPP
| hartrees |
Energy at 0K | -77.178542 |
Energy at 298.15K | -77.179389 |
HF Energy | -77.178542 |
Nuclear repulsion energy | 23.994729 |
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 PBEPBE/Def2TZVPP
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 |
660 |
652 |
0.00 |
|
|
|
2 |
A1 |
83 |
82 |
84.93 |
|
|
|
3 |
E |
861 |
851 |
29.09 |
|
|
|
3 |
E |
861 |
851 |
28.95 |
|
|
|
4 |
E |
191 |
189 |
12.95 |
|
|
|
4 |
E |
191 |
189 |
12.91 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 1424.2 cm
-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 1406.9 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.
Geometric Data calculated at PBEPBE/Def2TZVPP
Point Group is C3v
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
N1 |
0.000 |
0.000 |
0.094 |
Li2 |
0.000 |
1.728 |
-0.073 |
Li3 |
1.496 |
-0.864 |
-0.073 |
Li4 |
-1.496 |
-0.864 |
-0.073 |
Atom - Atom Distances (Å)
|
N1 |
Li2 |
Li3 |
Li4 |
N1 | | 1.7360 | 1.7360 | 1.7360 |
Li2 | 1.7360 | | 2.9930 | 2.9930 | Li3 | 1.7360 | 2.9930 | | 2.9930 | Li4 | 1.7360 | 2.9930 | 2.9930 | |
More geometry information
Calculated Bond Angles
atom1 |
atom2 |
atom3 |
angle |
|
atom1 |
atom2 |
atom3 |
angle |
Li2 |
N1 |
Li3 |
119.094 |
|
Li2 |
N1 |
Li4 |
119.094 |
Li3 |
N1 |
Li4 |
119.094 |
|
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP
Charges (e)
Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
1 |
N |
-1.258 |
|
|
|
2 |
Li |
0.419 |
|
|
|
3 |
Li |
0.419 |
|
|
|
4 |
Li |
0.419 |
|
|
|
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 |
-0.001 |
0.001 |
CHELPG |
|
|
|
|
AIM |
|
|
|
|
ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
Primitive |
| x | y | z |
x |
-3.956 |
0.000 |
0.000 |
y |
0.000 |
-3.956 |
0.000 |
z |
0.000 |
0.000 |
-22.119 |
|
Traceless |
| x | y | z |
x |
9.082 |
0.000 |
0.000 |
y |
0.000 |
9.082 |
0.000 |
z |
0.000 |
0.000 |
-18.163 |
|
Polar |
3z2-r2 | -36.327 |
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 |
20.360 |
0.000 |
0.000 |
y |
0.000 |
20.395 |
0.000 |
z |
0.000 |
0.000 |
19.750 |
<r2> (average value of r
2) Å
2
<r2> |
33.288 |
(<r2>)1/2 |
5.770 |