Jump to
S1C2
Energy calculated at PBE1PBE/3-21G*
| hartrees |
Energy at 0K | -76.721354 |
Energy at 298.15K | -76.722379 |
HF Energy | -76.721354 |
Nuclear repulsion energy | 23.868646 |
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 PBE1PBE/3-21G*
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' |
706 |
678 |
0.00 |
|
|
|
2 |
A2" |
115 |
111 |
92.31 |
|
|
|
3 |
E' |
920 |
883 |
81.22 |
|
|
|
3 |
E' |
920 |
883 |
80.92 |
|
|
|
4 |
E' |
217 |
208 |
27.28 |
|
|
|
4 |
E' |
217 |
208 |
27.22 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 1547.1 cm
-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 1484.9 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 PBE1PBE/3-21G*
Point Group is D3h
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
N1 |
0.000 |
0.000 |
0.000 |
Li2 |
0.000 |
1.742 |
0.000 |
Li3 |
1.509 |
-0.871 |
0.000 |
Li4 |
-1.509 |
-0.871 |
0.000 |
Atom - Atom Distances (Å)
|
N1 |
Li2 |
Li3 |
Li4 |
N1 | | 1.7423 | 1.7423 | 1.7423 |
Li2 | 1.7423 | | 3.0178 | 3.0178 | Li3 | 1.7423 | 3.0178 | | 3.0178 | Li4 | 1.7423 | 3.0178 | 3.0178 | |
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 PBE1PBE/3-21G*
Charges (e)
Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
1 |
N |
-0.658 |
|
|
|
2 |
Li |
0.219 |
|
|
|
3 |
Li |
0.219 |
|
|
|
4 |
Li |
0.219 |
|
|
|
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 |
-3.917 |
0.000 |
0.000 |
y |
0.000 |
-3.917 |
0.000 |
z |
0.000 |
0.000 |
-23.165 |
|
Traceless |
| x | y | z |
x |
9.624 |
0.000 |
0.000 |
y |
0.000 |
9.624 |
0.000 |
z |
0.000 |
0.000 |
-19.248 |
|
Polar |
3z2-r2 | -38.496 |
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 |
19.633 |
0.000 |
0.000 |
y |
0.000 |
19.659 |
0.000 |
z |
0.000 |
0.000 |
22.652 |
<r2> (average value of r
2) Å
2
<r2> |
33.775 |
(<r2>)1/2 |
5.812 |
Jump to
S1C1
Energy calculated at PBE1PBE/3-21G*
| hartrees |
Energy at 0K | -76.721354 |
Energy at 298.15K | -76.722378 |
HF Energy | -76.721354 |
Nuclear repulsion energy | 23.872035 |
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 PBE1PBE/3-21G*
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 |
706 |
678 |
0.00 |
|
|
|
2 |
A1 |
115 |
110 |
92.44 |
|
|
|
3 |
E |
920 |
883 |
81.21 |
|
|
|
3 |
E |
920 |
883 |
80.91 |
|
|
|
4 |
E |
217 |
208 |
27.30 |
|
|
|
4 |
E |
217 |
208 |
27.24 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 1547.5 cm
-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 1485.3 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 PBE1PBE/3-21G*
Point Group is C3v
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
N1 |
0.000 |
0.000 |
0.001 |
Li2 |
0.000 |
1.742 |
-0.000 |
Li3 |
1.509 |
-0.871 |
-0.000 |
Li4 |
-1.509 |
-0.871 |
-0.000 |
Atom - Atom Distances (Å)
|
N1 |
Li2 |
Li3 |
Li4 |
N1 | | 1.7421 | 1.7421 | 1.7421 |
Li2 | 1.7421 | | 3.0174 | 3.0174 | Li3 | 1.7421 | 3.0174 | | 3.0174 | Li4 | 1.7421 | 3.0174 | 3.0174 | |
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 PBE1PBE/3-21G*
Charges (e)
Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
1 |
N |
-0.659 |
|
|
|
2 |
Li |
0.220 |
|
|
|
3 |
Li |
0.220 |
|
|
|
4 |
Li |
0.220 |
|
|
|
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 |
-0.005 |
0.005 |
CHELPG |
|
|
|
|
AIM |
|
|
|
|
ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
Primitive |
| x | y | z |
x |
-3.918 |
0.000 |
0.000 |
y |
0.000 |
-3.918 |
0.000 |
z |
0.000 |
0.000 |
-23.161 |
|
Traceless |
| x | y | z |
x |
9.621 |
0.000 |
0.000 |
y |
0.000 |
9.621 |
0.000 |
z |
0.000 |
0.000 |
-19.243 |
|
Polar |
3z2-r2 | -38.485 |
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 |
19.624 |
0.000 |
0.000 |
y |
0.000 |
19.650 |
0.000 |
z |
0.000 |
0.000 |
22.639 |
<r2> (average value of r
2) Å
2
<r2> |
33.767 |
(<r2>)1/2 |
5.811 |