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

using model chemistry: M06-2X/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-588.346296
Energy at 298.15K-588.349203
HF Energy-588.346296
Nuclear repulsion energy258.736666
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/6-31+G**
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 1384 1318 631.53      
2 A1 1039 989 105.94      
3 A1 712 678 1.05      
4 A1 351 334 54.21      
5 A1 211 200 24.04      
6 A2 116 111 0.00      
7 B1 869 828 26.89      
8 B1 105 100 55.77      
9 B2 1642 1563 852.34      
10 B2 750 714 10.88      
11 B2 378 360 101.31      
12 B2 373 356 12.76      

Unscaled Zero Point Vibrational Energy (zpe) 3965.2 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 3775.6 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.
Rotational Constants (cm-1) from geometry optimized at M06-2X/6-31+G**
ABC
0.21293 0.06668 0.05078

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.560
O2 0.000 0.000 0.790
O3 0.000 1.127 -1.154
O4 0.000 -1.127 -1.154
Na5 0.000 2.148 0.705
Na6 0.000 -2.148 0.705

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35041.27421.27422.49282.4928
O21.35042.24752.24752.14982.1498
O31.27422.24752.25452.12063.7660
O41.27422.24752.25453.76602.1206
Na52.49282.14982.12063.76604.2963
Na62.49282.14983.76602.12064.2963

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 87.714 C1 O2 Na6 87.714
C1 O3 Na5 90.991 C1 O4 Na6 90.991
O2 C1 O3 117.787 O2 C1 O4 117.787
O2 Na5 O3 63.507 O2 Na6 O4 63.507
O3 C1 O4 124.425 Na5 O2 Na6 175.428
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.808      
2 O -0.991      
3 O -0.719      
4 O -0.719      
5 Na 0.811      
6 Na 0.811      


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 8.626 8.626
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.548 0.000 0.000
y 0.000 -1.715 0.000
z 0.000 0.000 -39.111
Traceless
 xyz
x -11.135 0.000 0.000
y 0.000 33.614 0.000
z 0.000 0.000 -22.480
Polar
3z2-r2-44.959
x2-y2-29.833
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.855 0.000 0.000
y 0.000 6.770 0.000
z 0.000 0.000 5.572


<r2> (average value of r2) Å2
<r2> 176.028
(<r2>)1/2 13.268