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

using model chemistry: HSEh1PBE/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 HSEh1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-588.113896
Energy at 298.15K-588.116777
HF Energy-588.113896
Nuclear repulsion energy257.630535
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 HSEh1PBE/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 1345 1294 595.15      
2 A1 1012 974 87.22      
3 A1 704 677 0.81      
4 A1 347 334 51.68      
5 A1 204 197 25.21      
6 A2 113 109 0.00      
7 B1 858 825 14.42      
8 B1 108 104 53.71      
9 B2 1586 1526 747.69      
10 B2 736 708 6.52      
11 B2 373 359 93.69      
12 B2 366 353 20.95      

Unscaled Zero Point Vibrational Energy (zpe) 3875.6 cm-1
Scaled (by 0.9622) Zero Point Vibrational Energy (zpe) 3729.1 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 HSEh1PBE/aug-cc-pVDZ
ABC
0.21218 0.06578 0.05021

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.557
O2 0.000 0.000 0.793
O3 0.000 1.127 -1.157
O4 0.000 -1.127 -1.157
Na5 0.000 2.166 0.705
Na6 0.000 -2.166 0.705

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34961.27671.27672.50662.5066
O21.34962.25202.25202.16752.1675
O31.27672.25202.25352.13263.7827
O41.27672.25202.25353.78272.1326
Na52.50662.16752.13263.78274.3316
Na62.50662.16753.78272.13264.3316

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 87.684 C1 O2 Na6 87.684
C1 O3 Na5 91.110 C1 O4 Na6 91.110
O2 C1 O3 118.049 O2 C1 O4 118.049
O2 Na5 O3 63.157 O2 Na6 O4 63.157
O3 C1 O4 123.902 Na5 O2 Na6 175.369
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.949      
2 O -1.040      
3 O -0.727      
4 O -0.727      
5 Na 0.772      
6 Na 0.772      


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 8.513 8.513
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.837 0.000 0.000
y 0.000 -1.367 0.000
z 0.000 0.000 -38.859
Traceless
 xyz
x -11.724 0.000 0.000
y 0.000 33.981 0.000
z 0.000 0.000 -22.257
Polar
3z2-r2-44.515
x2-y2-30.470
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.545 0.000 0.000
y 0.000 7.835 0.000
z 0.000 0.000 6.528


<r2> (average value of r2) Å2
<r2> 177.759
(<r2>)1/2 13.333