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 energy | 23.801456 |
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 (Å4/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.
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 |
N1 | | 1.7473 | 1.7473 | 1.7473 |
Li2 | 1.7473 | | 3.0263 | 3.0263 | Li3 | 1.7473 | 3.0263 | | 3.0263 | Li4 | 1.7473 | 3.0263 | 3.0263 | |
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 |
| x | y | z |
x |
-2.784 |
0.000 |
0.000 |
y |
0.000 |
-2.784 |
0.000 |
z |
0.000 |
0.000 |
-21.961 |
|
Traceless |
| x | y | z |
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-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 |
18.530 |
0.000 |
0.000 |
y |
0.000 |
18.571 |
0.000 |
z |
0.000 |
0.000 |
18.341 |
<r2> (average value of r
2) Å
2
<r2> |
33.208 |
(<r2>)1/2 |
5.763 |
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 energy | 23.805394 |
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 (Å4/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.
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 |
N1 | | 1.7470 | 1.7470 | 1.7470 |
Li2 | 1.7470 | | 3.0258 | 3.0258 | Li3 | 1.7470 | 3.0258 | | 3.0258 | Li4 | 1.7470 | 3.0258 | 3.0258 | |
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 |
| x | y | z |
x |
-2.787 |
0.000 |
0.000 |
y |
0.000 |
-2.787 |
0.000 |
z |
0.000 |
0.000 |
-21.959 |
|
Traceless |
| x | y | z |
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-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 |
18.521 |
0.000 |
0.000 |
y |
0.000 |
18.562 |
0.000 |
z |
0.000 |
0.000 |
18.331 |
<r2> (average value of r
2) Å
2
<r2> |
33.199 |
(<r2>)1/2 |
5.762 |