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All results from a given calculation for Li2CO3 (Lithium Carbonate)

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-278.794579
Energy at 298.15K-278.796979
HF Energy-278.794579
Nuclear repulsion energy148.690370
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
4/u)
Dep P Dep U
1 A1 1270 1254 463.30      
2 A1 940 928 132.05      
3 A1 710 701 25.14      
4 A1 582 575 75.42      
5 A1 407 403 35.14      
6 A2 171 169 0.00      
7 B1 810 800 16.00      
8 B1 169 167 129.86      
9 B2 1586 1567 615.19      
10 B2 772 763 100.23      
11 B2 583 576 169.82      
12 B2 516 510 21.58      

Unscaled Zero Point Vibrational Energy (zpe) 4257.9 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 4206.4 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 PBEPBE/Def2TZVPP
ABC
0.31603 0.19296 0.11981

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.233
O2 0.000 0.000 1.130
O3 0.000 1.138 -0.807
O4 0.000 -1.138 -0.807
Li5 0.000 1.816 0.880
Li6 0.000 -1.816 0.880

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Li5 Li6
C11.36331.27481.27482.12962.1296
O21.36332.24702.24701.83291.8329
O31.27482.24702.27621.81803.4017
O41.27482.24702.27623.40171.8180
Li52.12961.83291.81803.40173.6315
Li62.12961.83293.40171.81803.6315

picture of Lithium Carbonate state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O2 Li5 82.146 C1 O2 Li6 82.146
C1 O3 Li5 85.111 C1 O4 Li6 85.111
O2 C1 O3 116.774 O2 C1 O4 116.774
O3 C1 O4 126.453
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.422      
2 O -0.733      
3 O -0.521      
4 O -0.521      
5 Li 0.676      
6 Li 0.676      


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 6.095 6.095
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.957 0.000 0.000
y 0.000 -9.013 0.000
z 0.000 0.000 -29.059
Traceless
 xyz
x -6.921 0.000 0.000
y 0.000 18.495 0.000
z 0.000 0.000 -11.574
Polar
3z2-r2-23.148
x2-y2-16.944
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.754 0.000 0.000
y 0.000 6.830 0.000
z 0.000 0.000 5.357


<r2> (average value of r2) Å2
<r2> 79.625
(<r2>)1/2 8.923