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

using model chemistry: B97D3/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/6-311G**
 hartrees
Energy at 0K-588.353960
Energy at 298.15K-588.356666
HF Energy-588.353960
Nuclear repulsion energy254.664659
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 B97D3/6-311G**
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 1245 1227 487.35      
2 A1 938 925 120.34      
3 A1 674 665 0.07      
4 A1 327 323 38.17      
5 A1 186 184 21.72      
6 A2 111 110 0.00      
7 B1 813 801 12.24      
8 B1 104 103 52.55      
9 B2 1515 1493 706.31      
10 B2 705 695 1.89      
11 B2 356 350 105.96      
12 B2 340 335 4.30      

Unscaled Zero Point Vibrational Energy (zpe) 3657.4 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 3605.1 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 B97D3/6-311G**
ABC
0.20450 0.06450 0.04903

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311G**

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 0.794
O3 0.000 1.132 -1.177
O4 0.000 -1.132 -1.177
Na5 0.000 2.189 0.724
Na6 0.000 -2.189 0.724

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.36951.28241.28242.54552.5455
O21.36952.27332.27332.19032.1903
O31.28242.27332.26482.17463.8269
O41.28242.27332.26483.82692.1746
Na52.54552.19032.17463.82694.3783
Na62.54552.19033.82692.17464.3783

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 87.675 C1 O2 Na6 87.675
C1 O3 Na5 90.798 C1 O4 Na6 90.798
O2 C1 O3 118.246 O2 C1 O4 118.246
O2 Na5 O3 63.282 O2 Na6 O4 63.282
O3 C1 O4 123.509 Na5 O2 Na6 175.350
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.505      
2 O -0.670      
3 O -0.529      
4 O -0.529      
5 Na 0.612      
6 Na 0.612      


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 8.077 8.077
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.478 0.000 0.000
y 0.000 -2.214 0.000
z 0.000 0.000 -38.388
Traceless
 xyz
x -11.178 0.000 0.000
y 0.000 32.719 0.000
z 0.000 0.000 -21.542
Polar
3z2-r2-43.083
x2-y2-29.265
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.930 0.000 0.000
y 0.000 10.140 0.000
z 0.000 0.000 6.517


<r2> (average value of r2) Å2
<r2> 181.673
(<r2>)1/2 13.479