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

using model chemistry: HSEh1PBE/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 HSEh1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-588.185205
Energy at 298.15K-588.188096
HF Energy-588.185205
Nuclear repulsion energy258.116163
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-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 1342 1291 589.15      
2 A1 1018 979 97.25      
3 A1 711 684 0.54      
4 A1 346 333 50.70      
5 A1 203 195 25.10      
6 A2 111 107 0.00      
7 B1 869 835 15.09      
8 B1 110 106 52.45      
9 B2 1583 1522 766.20      
10 B2 741 713 6.28      
11 B2 373 359 53.91      
12 B2 370 356 58.69      

Unscaled Zero Point Vibrational Energy (zpe) 3888.8 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 3740.3 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-pVTZ
ABC
0.21261 0.06594 0.05033

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.558
O2 0.000 0.000 0.787
O3 0.000 1.121 -1.156
O4 0.000 -1.121 -1.156
Na5 0.000 2.165 0.706
Na6 0.000 -2.165 0.706

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34491.27051.27052.50672.5067
O21.34492.24312.24312.16622.1662
O31.27052.24312.24202.13453.7766
O41.27052.24312.24203.77662.1345
Na52.50672.16622.13453.77664.3294
Na62.50672.16623.77662.13454.3294

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 87.860 C1 O2 Na6 87.860
C1 O3 Na5 91.195 C1 O4 Na6 91.195
O2 C1 O3 118.077 O2 C1 O4 118.077
O2 Na5 O3 62.868 O2 Na6 O4 62.868
O3 C1 O4 123.846 Na5 O2 Na6 175.719
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.962      
2 O -0.874      
3 O -0.710      
4 O -0.710      
5 Na 0.666      
6 Na 0.666      


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 8.465 8.465
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.566 0.000 0.000
y 0.000 -1.519 0.000
z 0.000 0.000 -38.659
Traceless
 xyz
x -11.477 0.000 0.000
y 0.000 33.593 0.000
z 0.000 0.000 -22.116
Polar
3z2-r2-44.232
x2-y2-30.047
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.604 0.000 0.000
y 0.000 7.849 0.000
z 0.000 0.000 6.573


<r2> (average value of r2) Å2
<r2> 177.303
(<r2>)1/2 13.316