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

using model chemistry: PBEPBE/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 PBEPBE/6-311G**
 hartrees
Energy at 0K-588.066865
Energy at 298.15K-588.069661
HF Energy-588.066865
Nuclear repulsion energy255.760807
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 PBEPBE/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 1247 1236 458.45      
2 A1 939 931 113.65      
3 A1 674 668 0.53      
4 A1 342 339 36.03      
5 A1 203 201 19.66      
6 A2 113 112 0.00      
7 B1 804 797 10.11      
8 B1 107 106 50.91      
9 B2 1517 1503 684.12      
10 B2 710 704 2.60      
11 B2 373 369 72.59      
12 B2 363 359 33.56      

Unscaled Zero Point Vibrational Energy (zpe) 3695.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 3661.8 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 PBEPBE/6-311G**
ABC
0.20574 0.06549 0.04967

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.571
O2 0.000 0.000 0.801
O3 0.000 1.134 -1.174
O4 0.000 -1.134 -1.174
Na5 0.000 2.169 0.718
Na6 0.000 -2.169 0.718

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.37141.28471.28472.52282.5228
O21.37142.27722.27722.17032.1703
O31.28472.27722.26862.15633.8065
O41.28472.27722.26863.80652.1563
Na52.52282.17032.15633.80654.3375
Na62.52282.17033.80652.15634.3375

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 87.820 C1 O2 Na6 87.820
C1 O3 Na5 90.667 C1 O4 Na6 90.667
O2 C1 O3 118.001 O2 C1 O4 118.001
O2 Na5 O3 63.512 O2 Na6 O4 63.512
O3 C1 O4 123.998 Na5 O2 Na6 175.639
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.476      
2 O -0.633      
3 O -0.498      
4 O -0.498      
5 Na 0.577      
6 Na 0.577      


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 7.814 7.814
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.843 0.000 0.000
y 0.000 -3.727 0.000
z 0.000 0.000 -38.550
Traceless
 xyz
x -10.704 0.000 0.000
y 0.000 31.470 0.000
z 0.000 0.000 -20.766
Polar
3z2-r2-41.531
x2-y2-28.116
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.038 0.000 0.000
y 0.000 10.693 0.000
z 0.000 0.000 6.738


<r2> (average value of r2) Å2
<r2> 179.970
(<r2>)1/2 13.415