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

using model chemistry: PBEPBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-580.324998
Energy at 298.15K-580.328194
HF Energy-580.324998
Nuclear repulsion energy264.270475
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/STO-3G
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 1317 1203 170.93      
2 A1 925 845 21.30      
3 A1 750 686 11.03      
4 A1 465 425 23.42      
5 A1 359 328 12.91      
6 A2 151 138 0.00      
7 B1 657 600 13.85      
8 B1 121 111 43.59      
9 B2 1605 1466 293.90      
10 B2 884 807 53.26      
11 B2 617 564 1.37      
12 B2 485 443 69.74      

Unscaled Zero Point Vibrational Energy (zpe) 4167.7 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 3807.6 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/STO-3G
ABC
0.21155 0.07541 0.05559

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.554
O2 0.000 0.000 0.882
O3 0.000 1.203 -1.157
O4 0.000 -1.203 -1.157
Na5 0.000 1.963 0.672
Na6 0.000 -1.963 0.672

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.43651.34561.34562.31482.3148
O21.43652.36742.36741.97451.9745
O31.34562.36742.40641.98043.6566
O41.34562.36742.40643.65661.9804
Na52.31481.97451.98043.65663.9266
Na62.31481.97453.65661.98043.9266

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 83.890 C1 O2 Na6 83.890
C1 O3 Na5 85.973 C1 O4 Na6 85.973
O2 C1 O3 116.596 O2 C1 O4 116.596
O2 Na5 O3 73.540 O2 Na6 O4 73.540
O3 C1 O4 126.808 Na5 O2 Na6 167.781
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.067      
2 O -0.428      
3 O -0.369      
4 O -0.369      
5 Na 0.550      
6 Na 0.550      


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 6.665 6.665
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.398 0.000 0.000
y 0.000 -7.369 0.000
z 0.000 0.000 -31.548
Traceless
 xyz
x -6.939 0.000 0.000
y 0.000 21.603 0.000
z 0.000 0.000 -14.664
Polar
3z2-r2-29.329
x2-y2-19.028
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.858 0.000 0.000
y 0.000 5.308 0.000
z 0.000 0.000 2.843


<r2> (average value of r2) Å2
<r2> 160.974
(<r2>)1/2 12.688