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

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

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
 hartrees
Energy at 0K-588.237073
Energy at 298.15K-588.239896
HF Energy-588.237073
Nuclear repulsion energy256.774439
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
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 1325 1325 542.60      
2 A1 983 983 91.12      
3 A1 688 688 0.80      
4 A1 354 354 47.88      
5 A1 202 202 22.80      
6 A2 118 118 0.00      
7 B1 809 809 45.63      
8 B1 99 99 61.95      
9 B2 1621 1621 736.02      
10 B2 726 726 12.34      
11 B2 382 382 107.71      
12 B2 359 359 4.75      

Unscaled Zero Point Vibrational Energy (zpe) 3833.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3833.6 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/6-31G
ABC
0.20657 0.06663 0.05038

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.581
O2 0.000 0.000 0.800
O3 0.000 1.150 -1.168
O4 0.000 -1.150 -1.168
Na5 0.000 2.141 0.717
Na6 0.000 -2.141 0.717

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.38081.29171.29172.50352.5035
O21.38082.27982.27982.14212.1421
O31.29172.27982.30062.13013.7929
O41.29172.27982.30063.79292.1301
Na52.50352.14212.13013.79294.2810
Na62.50352.14213.79292.13014.2810

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 87.795 C1 O2 Na6 87.795
C1 O3 Na5 90.645 C1 O4 Na6 90.645
O2 C1 O3 117.058 O2 C1 O4 117.058
O2 Na5 O3 64.502 O2 Na6 O4 64.502
O3 C1 O4 125.884 Na5 O2 Na6 175.591
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.670      
2 O -0.822      
3 O -0.662      
4 O -0.662      
5 Na 0.739      
6 Na 0.739      


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 8.753 8.753
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.084 0.000 0.000
y 0.000 -2.533 0.000
z 0.000 0.000 -39.454
Traceless
 xyz
x -10.090 0.000 0.000
y 0.000 32.736 0.000
z 0.000 0.000 -22.645
Polar
3z2-r2-45.291
x2-y2-28.551
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.448 0.000 0.000
y 0.000 6.660 0.000
z 0.000 0.000 4.515


<r2> (average value of r2) Å2
<r2> 177.495
(<r2>)1/2 13.323