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

using model chemistry: B3LYP/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-585.068907
Energy at 298.15K-585.071805
HF Energy-585.068907
Nuclear repulsion energy259.821661
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 B3LYP/3-21G*
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 1208 1162 393.78      
2 A1 891 857 145.78      
3 A1 673 648 0.13      
4 A1 372 357 35.82      
5 A1 237 228 15.28      
6 A2 123 118 0.00      
7 B1 791 761 26.03      
8 B1 98 95 52.00      
9 B2 1550 1491 652.49      
10 B2 714 687 14.73      
11 B2 407 392 31.79      
12 B2 385 370 73.00      

Unscaled Zero Point Vibrational Energy (zpe) 3724.2 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 3582.7 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 B3LYP/3-21G*
ABC
0.20824 0.06996 0.05237

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.575
O2 0.000 0.000 0.838
O3 0.000 1.152 -1.164
O4 0.000 -1.152 -1.164
Na5 0.000 2.078 0.698
Na6 0.000 -2.078 0.698

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.41301.29361.29362.43702.4370
O21.41302.30972.30972.08272.0827
O31.29362.30972.30332.08013.7282
O41.29362.30972.30333.72822.0801
Na52.43702.08272.08013.72824.1560
Na62.43702.08273.72822.08014.1560

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 86.152 C1 O2 Na6 86.152
C1 O3 Na5 89.352 C1 O4 Na6 89.352
O2 C1 O3 117.094 O2 C1 O4 117.094
O2 Na5 O3 67.402 O2 Na6 O4 67.402
O3 C1 O4 125.812 Na5 O2 Na6 172.304
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.756      
2 O -0.573      
3 O -0.564      
4 O -0.564      
5 Na 0.472      
6 Na 0.472      


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 7.173 7.173
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.976 0.000 0.000
y 0.000 -7.370 0.000
z 0.000 0.000 -39.194
Traceless
 xyz
x -8.694 0.000 0.000
y 0.000 28.215 0.000
z 0.000 0.000 -19.521
Polar
3z2-r2-39.042
x2-y2-24.606
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.369 0.000 0.000
y 0.000 8.833 0.000
z 0.000 0.000 5.711


<r2> (average value of r2) Å2
<r2> 172.581
(<r2>)1/2 13.137