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

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-588.306753
Energy at 298.15K-588.309617
HF Energy-588.306753
Nuclear repulsion energy258.111382
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 B3PW91/6-31G*
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 1356 1297 543.95      
2 A1 1011 967 89.97      
3 A1 703 673 1.41      
4 A1 352 337 41.89      
5 A1 210 201 21.60      
6 A2 112 108 0.00      
7 B1 848 811 22.21      
8 B1 104 99 51.80      
9 B2 1622 1552 731.80      
10 B2 742 710 6.03      
11 B2 383 366 59.94      
12 B2 374 358 54.91      

Unscaled Zero Point Vibrational Energy (zpe) 3908.1 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 3738.9 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 B3PW91/6-31G*
ABC
0.21068 0.06658 0.05059

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.561
O2 0.000 0.000 0.794
O3 0.000 1.127 -1.161
O4 0.000 -1.127 -1.161
Na5 0.000 2.150 0.708
Na6 0.000 -2.150 0.708

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35491.27721.27722.49652.4965
O21.35492.25682.25682.15172.1517
O31.27722.25682.25472.13063.7729
O41.27722.25682.25473.77292.1306
Na52.49652.15172.13063.77294.3000
Na62.49652.15173.77292.13064.3000

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 87.710 C1 O2 Na6 87.710
C1 O3 Na5 90.656 C1 O4 Na6 90.656
O2 C1 O3 118.029 O2 C1 O4 118.029
O2 Na5 O3 63.605 O2 Na6 O4 63.605
O3 C1 O4 123.943 Na5 O2 Na6 175.420
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.842      
2 O -0.735      
3 O -0.654      
4 O -0.654      
5 Na 0.601      
6 Na 0.601      


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 8.156 8.156
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.026 0.000 0.000
y 0.000 -2.303 0.000
z 0.000 0.000 -37.820
Traceless
 xyz
x -10.964 0.000 0.000
y 0.000 32.120 0.000
z 0.000 0.000 -21.155
Polar
3z2-r2-42.311
x2-y2-28.722
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.445 0.000 0.000
y 0.000 8.058 0.000
z 0.000 0.000 5.415


<r2> (average value of r2) Å2
<r2> 176.372
(<r2>)1/2 13.281