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All results from a given calculation for Na2CO3 (Sodium Carbonate)

using model chemistry: M06-2X/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/6-31G(2df,p)
 hartrees
Energy at 0K-588.361968
Energy at 298.15K-588.364932
HF Energy-588.361968
Nuclear repulsion energy260.385870
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 M06-2X/6-31G(2df,p)
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 1376 1311 550.51      
2 A1 1033 984 104.49      
3 A1 722 688 1.35      
4 A1 364 347 45.51      
5 A1 219 209 18.78      
6 A2 117 111 0.00      
7 B1 879 837 20.72      
8 B1 101 96 50.11      
9 B2 1641 1563 810.56      
10 B2 752 717 11.20      
11 B2 398 379 13.77      
12 B2 381 362 103.42      

Unscaled Zero Point Vibrational Energy (zpe) 3991.9 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 3801.9 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.
Rotational Constants (cm-1) from geometry optimized at M06-2X/6-31G(2df,p)
ABC
0.21699 0.06752 0.05150

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.549
O2 0.000 0.000 0.799
O3 0.000 1.120 -1.144
O4 0.000 -1.120 -1.144
Na5 0.000 2.135 0.691
Na6 0.000 -2.135 0.691

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34791.26891.26892.46862.4686
O21.34792.24352.24352.13732.1373
O31.26892.24352.24062.09743.7369
O41.26892.24352.24063.73692.0974
Na52.46862.13732.09743.73694.2692
Na62.46862.13733.73692.09744.2692

picture of Sodium Carbonate state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O2 Na5 87.105 C1 O2 Na6 87.105
C1 O3 Na5 90.914 C1 O4 Na6 90.914
O2 C1 O3 118.006 O2 C1 O4 118.006
O2 Na5 O3 63.974 O2 Na6 O4 63.974
O3 C1 O4 123.988 Na5 O2 Na6 174.210
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.604      
2 O -0.611      
3 O -0.545      
4 O -0.545      
5 Na 0.549      
6 Na 0.549      


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 7.838 7.838
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.227 0.000 0.000
y 0.000 -2.756 0.000
z 0.000 0.000 -37.621
Traceless
 xyz
x -11.038 0.000 0.000
y 0.000 31.668 0.000
z 0.000 0.000 -20.630
Polar
3z2-r2-41.259
x2-y2-28.471
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.870 0.000 0.000
y 0.000 7.075 0.000
z 0.000 0.000 5.261


<r2> (average value of r2) Å2
<r2> 173.619
(<r2>)1/2 13.176