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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311G*
 hartrees
Energy at 0K-588.081905
Energy at 298.15K-588.084828
HF Energy-588.081905
Nuclear repulsion energy258.418952
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 PBE1PBE/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 1352 1296 563.59      
2 A1 1018 976 100.05      
3 A1 713 684 1.07      
4 A1 356 341 44.55      
5 A1 209 200 22.43      
6 A2 115 110 0.00      
7 B1 864 828 22.46      
8 B1 112 107 53.74      
9 B2 1618 1551 767.23      
10 B2 750 718 6.74      
11 B2 384 368 80.50      
12 B2 377 362 33.40      

Unscaled Zero Point Vibrational Energy (zpe) 3933.3 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 3770.1 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 PBE1PBE/6-311G*
ABC
0.21121 0.06649 0.05057

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.564
O2 0.000 0.000 0.785
O3 0.000 1.122 -1.158
O4 0.000 -1.122 -1.158
Na5 0.000 2.154 0.711
Na6 0.000 -2.154 0.711

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34961.26961.26962.50282.5028
O21.34962.24432.24432.15502.1550
O31.26962.24432.24422.13493.7715
O41.26962.24432.24423.77152.1349
Na52.50282.15502.13493.77154.3074
Na62.50282.15503.77152.13494.3074

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 88.018 C1 O2 Na6 88.018
C1 O3 Na5 90.997 C1 O4 Na6 90.997
O2 C1 O3 117.898 O2 C1 O4 117.898
O2 Na5 O3 63.087 O2 Na6 O4 63.087
O3 C1 O4 124.205 Na5 O2 Na6 176.035
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.555      
2 O -0.705      
3 O -0.561      
4 O -0.561      
5 Na 0.637      
6 Na 0.637      


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 8.242 8.242
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.100 0.000 0.000
y 0.000 -2.325 0.000
z 0.000 0.000 -38.113
Traceless
 xyz
x -10.880 0.000 0.000
y 0.000 32.281 0.000
z 0.000 0.000 -21.401
Polar
3z2-r2-42.801
x2-y2-28.774
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.389 0.000 0.000
y 0.000 7.773 0.000
z 0.000 0.000 5.258


<r2> (average value of r2) Å2
<r2> 176.508
(<r2>)1/2 13.286