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

using model chemistry: wB97X-D/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/6-311G**
 hartrees
Energy at 0K-588.462976
Energy at 298.15K-588.465857
HF Energy-588.462976
Nuclear repulsion energy257.261461
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 wB97X-D/6-311G**
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 1363 1304 591.95      
2 A1 1025 980 96.72      
3 A1 711 680 0.66      
4 A1 342 327 46.97      
5 A1 206 197 26.16      
6 A2 111 106 0.00      
7 B1 869 832 26.21      
8 B1 107 103 55.47      
9 B2 1625 1555 801.01      
10 B2 751 718 8.21      
11 B2 381 364 80.39      
12 B2 357 342 38.73      

Unscaled Zero Point Vibrational Energy (zpe) 3925.0 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 3754.3 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 wB97X-D/6-311G**
ABC
0.21023 0.06546 0.04992

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.558
O2 0.000 0.000 0.785
O3 0.000 1.121 -1.155
O4 0.000 -1.121 -1.155
Na5 0.000 2.163 0.707
Na6 0.000 -2.163 0.707

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34301.26971.26972.50582.5058
O21.34302.24012.24012.16442.1644
O31.26972.24012.24172.13353.7748
O41.26972.24012.24173.77482.1335
Na52.50582.16442.13353.77484.3261
Na62.50582.16443.77482.13354.3261

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 87.936 C1 O2 Na6 87.936
C1 O3 Na5 91.217 C1 O4 Na6 91.217
O2 C1 O3 118.024 O2 C1 O4 118.024
O2 Na5 O3 62.822 O2 Na6 O4 62.822
O3 C1 O4 123.951 Na5 O2 Na6 175.872
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.537      
2 O -0.707      
3 O -0.566      
4 O -0.566      
5 Na 0.651      
6 Na 0.651      


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 8.524 8.524
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.889 0.000 0.000
y 0.000 -0.868 0.000
z 0.000 0.000 -38.063
Traceless
 xyz
x -11.424 0.000 0.000
y 0.000 33.609 0.000
z 0.000 0.000 -22.185
Polar
3z2-r2-44.370
x2-y2-30.022
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.250 0.000 0.000
y 0.000 6.985 0.000
z 0.000 0.000 4.870


<r2> (average value of r2) Å2
<r2> 178.235
(<r2>)1/2 13.350