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

using model chemistry: PBEPBEultrafine/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/cc-pVTZ
 hartrees
Energy at 0K-588.113177
Energy at 298.15K-588.115931
HF Energy-588.113177
Nuclear repulsion energy255.220022
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 PBEPBEultrafine/cc-pVTZ
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 1237 485.89      
2 A1 943 936 114.66      
3 A1 674 669 0.05      
4 A1 334 331 38.03      
5 A1 196 195 20.97      
6 A2 110 109 0.00      
7 B1 812 806 7.08      
8 B1 106 105 50.50      
9 B2 1498 1488 689.38      
10 B2 704 700 2.52      
11 B2 359 357 80.15      
12 B2 358 355 27.87      

Unscaled Zero Point Vibrational Energy (zpe) 3668.8 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 3643.5 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 PBEPBEultrafine/cc-pVTZ
ABC
0.20659 0.06479 0.04932

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.565
O2 0.000 0.000 0.802
O3 0.000 1.133 -1.173
O4 0.000 -1.133 -1.173
Na5 0.000 2.183 0.715
Na6 0.000 -2.183 0.715

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.36741.28521.28522.53082.5308
O21.36742.27662.27662.18502.1850
O31.28522.27662.26512.16033.8154
O41.28522.27662.26513.81542.1603
Na52.53082.18502.16033.81544.3665
Na62.53082.18503.81542.16034.3665

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 87.708 C1 O2 Na6 87.708
C1 O3 Na5 90.891 C1 O4 Na6 90.891
O2 C1 O3 118.211 O2 C1 O4 118.211
O2 Na5 O3 63.190 O2 Na6 O4 63.190
O3 C1 O4 123.578 Na5 O2 Na6 175.416
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.620      
2 O -0.555      
3 O -0.428      
4 O -0.428      
5 Na 0.395      
6 Na 0.395      


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 7.978 7.978
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.263 0.000 0.000
y 0.000 -2.538 0.000
z 0.000 0.000 -38.673
Traceless
 xyz
x -11.658 0.000 0.000
y 0.000 32.930 0.000
z 0.000 0.000 -21.273
Polar
3z2-r2-42.545
x2-y2-29.725
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.850 0.000 0.000
y 0.000 10.361 0.000
z 0.000 0.000 7.279


<r2> (average value of r2) Å2
<r2> 180.994
(<r2>)1/2 13.453