return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBE1PBE/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-588.065768
Energy at 298.15K-588.068661
HF Energy-588.065768
Nuclear repulsion energy257.717648
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 PBE1PBE/aug-cc-pVDZ
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 1350 1298 594.61      
2 A1 1015 976 84.98      
3 A1 705 678 0.91      
4 A1 349 336 52.15      
5 A1 206 198 24.91      
6 A2 113 108 0.00      
7 B1 859 826 14.45      
8 B1 109 105 53.69      
9 B2 1589 1528 748.45      
10 B2 737 709 6.92      
11 B2 375 360 75.80      
12 B2 369 355 39.22      

Unscaled Zero Point Vibrational Energy (zpe) 3887.5 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 3738.2 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 PBE1PBE/aug-cc-pVDZ
ABC
0.21235 0.06583 0.05025

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.556
O2 0.000 0.000 0.793
O3 0.000 1.127 -1.157
O4 0.000 -1.127 -1.157
Na5 0.000 2.165 0.705
Na6 0.000 -2.165 0.705

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34921.27671.27672.50522.5052
O21.34922.25182.25182.16652.1665
O31.27672.25182.25332.13133.7813
O41.27672.25182.25333.78132.1313
Na52.50522.16652.13133.78134.3295
Na62.50522.16653.78132.13134.3295

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 87.665 C1 O2 Na6 87.665
C1 O3 Na5 91.091 C1 O4 Na6 91.091
O2 C1 O3 118.057 O2 C1 O4 118.057
O2 Na5 O3 63.187 O2 Na6 O4 63.187
O3 C1 O4 123.886 Na5 O2 Na6 175.330
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.986      
2 O -1.050      
3 O -0.743      
4 O -0.743      
5 Na 0.775      
6 Na 0.775      


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 8.519 8.519
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.813 0.000 0.000
y 0.000 -1.360 0.000
z 0.000 0.000 -38.830
Traceless
 xyz
x -11.718 0.000 0.000
y 0.000 33.962 0.000
z 0.000 0.000 -22.244
Polar
3z2-r2-44.487
x2-y2-30.453
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.521 0.000 0.000
y 0.000 7.773 0.000
z 0.000 0.000 6.484


<r2> (average value of r2) Å2
<r2> 177.614
(<r2>)1/2 13.327