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

using model chemistry: PBE1PBE/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/cc-pVDZ
 hartrees
Energy at 0K-588.044916
Energy at 298.15K-588.047857
HF Energy-588.044916
Nuclear repulsion energy258.141491
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/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 1356 1304 599.64      
2 A1 1013 974 103.98      
3 A1 703 676 0.87      
4 A1 352 339 39.37      
5 A1 211 203 21.67      
6 A2 121 116 0.00      
7 B1 857 824 20.03      
8 B1 120 115 53.93      
9 B2 1629 1566 804.51      
10 B2 742 714 6.61      
11 B2 383 368 80.70      
12 B2 371 357 32.27      

Unscaled Zero Point Vibrational Energy (zpe) 3929.2 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 3777.9 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/cc-pVDZ
ABC
0.21085 0.06648 0.05054

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

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 0.791
O3 0.000 1.126 -1.159
O4 0.000 -1.126 -1.159
Na5 0.000 2.152 0.709
Na6 0.000 -2.152 0.709

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35511.27401.27402.50082.5008
O21.35512.25232.25232.15382.1538
O31.27402.25232.25262.13193.7738
O41.27402.25232.25263.77382.1319
Na52.50082.15382.13193.77384.3046
Na62.50082.15383.77382.13194.3046

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 87.827 C1 O2 Na6 87.827
C1 O3 Na5 90.906 C1 O4 Na6 90.906
O2 C1 O3 117.861 O2 C1 O4 117.861
O2 Na5 O3 63.406 O2 Na6 O4 63.406
O3 C1 O4 124.277 Na5 O2 Na6 175.653
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.376      
2 O -0.566      
3 O -0.444      
4 O -0.444      
5 Na 0.539      
6 Na 0.539      


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 8.154 8.154
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.579 0.000 0.000
y 0.000 -1.916 0.000
z 0.000 0.000 -38.193
Traceless
 xyz
x -11.524 0.000 0.000
y 0.000 32.970 0.000
z 0.000 0.000 -21.445
Polar
3z2-r2-42.891
x2-y2-29.663
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.612 0.000 0.000
y 0.000 7.893 0.000
z 0.000 0.000 5.300


<r2> (average value of r2) Å2
<r2> 176.628
(<r2>)1/2 13.290