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

using model chemistry: B97D3/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-588.260934
Energy at 298.15K-588.263614
HF Energy-588.260934
Nuclear repulsion energy 
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 B97D3/6-31G*
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 1267 1242 474.46      
2 A1 947 928 103.07      
3 A1 672 659 0.56      
4 A1 331 325 35.14      
5 A1 191 187 19.60      
6 A2 110 108 0.00      
7 B1 805 790 12.21      
8 B1 97 95 50.31      
9 B2 1535 1505 695.91      
10 B2 704 690 1.58      
11 B2 357 350 103.38      
12 B2 350 343 6.75      

Unscaled Zero Point Vibrational Energy (zpe) 3683.3 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 3611.1 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 B97D3/6-31G*
ABC
0.20553 0.06503 0.04940

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.568
O2 0.000 0.000 0.803
O3 0.000 1.135 -1.175
O4 0.000 -1.135 -1.175
Na5 0.000 2.177 0.718
Na6 0.000 -2.177 0.718

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.37071.28781.28782.52832.5283
O21.37072.28102.28102.17902.1790
O31.28782.28102.27082.16063.8153
O41.28782.28102.27083.81532.1606
Na52.52832.17902.16063.81534.3546
Na62.52832.17903.81532.16064.3546

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 87.496 C1 O2 Na6 87.496
C1 O3 Na5 90.522 C1 O4 Na6 90.522
O2 C1 O3 118.334 O2 C1 O4 118.334
O2 Na5 O3 63.648 O2 Na6 O4 63.648
O3 C1 O4 123.331 Na5 O2 Na6 174.992
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.803      
2 O -0.694      
3 O -0.618      
4 O -0.618      
5 Na 0.564      
6 Na 0.564      


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 7.887 7.887
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.501 0.000 0.000
y 0.000 -2.721 0.000
z 0.000 0.000 -38.171
Traceless
 xyz
x -11.055 0.000 0.000
y 0.000 32.115 0.000
z 0.000 0.000 -21.060
Polar
3z2-r2-42.120
x2-y2-28.780
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.030 0.000 0.000
y 0.000 10.653 0.000
z 0.000 0.000 6.835


<r2> (average value of r2) Å2
<r2> 180.512
(<r2>)1/2 13.435