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

using model chemistry: PBEPBEultrafine/aug-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/aug-cc-pVTZ
 hartrees
Energy at 0K-588.118837
Energy at 298.15K-588.121591
HF Energy-588.118837
Nuclear repulsion energy255.517862
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/aug-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 1231 500.02      
2 A1 946 935 111.20      
3 A1 673 666 0.10      
4 A1 333 329 44.56      
5 A1 196 194 22.79      
6 A2 108 107 0.00      
7 B1 812 803 7.09      
8 B1 106 105 50.76      
9 B2 1489 1473 685.89      
10 B2 703 695 2.87      
11 B2 359 355 30.17      
12 B2 359 355 76.65      

Unscaled Zero Point Vibrational Energy (zpe) 3664.8 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 3623.7 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/aug-cc-pVTZ
ABC
0.20729 0.06496 0.04946

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.564
O2 0.000 0.000 0.802
O3 0.000 1.133 -1.171
O4 0.000 -1.133 -1.171
Na5 0.000 2.180 0.713
Na6 0.000 -2.180 0.713

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.36571.28561.28562.52612.5261
O21.36572.27512.27512.18142.1814
O31.28562.27512.26662.15513.8111
O41.28562.27512.26663.81112.1551
Na52.52612.18142.15513.81114.3591
Na62.52612.18143.81112.15514.3591

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 87.668 C1 O2 Na6 87.668
C1 O3 Na5 90.869 C1 O4 Na6 90.869
O2 C1 O3 118.176 O2 C1 O4 118.176
O2 Na5 O3 63.287 O2 Na6 O4 63.287
O3 C1 O4 123.649 Na5 O2 Na6 175.337
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.968      
2 O -0.770      
3 O -0.659      
4 O -0.659      
5 Na 0.560      
6 Na 0.560      


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 8.190 8.190
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.260 0.000 0.000
y 0.000 -2.544 0.000
z 0.000 0.000 -39.234
Traceless
 xyz
x -11.371 0.000 0.000
y 0.000 33.203 0.000
z 0.000 0.000 -21.832
Polar
3z2-r2-43.664
x2-y2-29.716
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.281 0.000 0.000
y 0.000 10.149 0.000
z 0.000 0.000 8.049


<r2> (average value of r2) Å2
<r2> 180.650
(<r2>)1/2 13.441