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

using model chemistry: HSEh1PBE/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/cc-pVTZ
 hartrees
Energy at 0K-588.180262
Energy at 298.15K-588.183157
HF Energy-588.180262
Nuclear repulsion energy257.868889
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/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 1343 1291 581.39      
2 A1 1016 977 100.45      
3 A1 712 684 0.38      
4 A1 347 333 44.82      
5 A1 203 195 23.83      
6 A2 113 108 0.00      
7 B1 869 835 15.72      
8 B1 111 107 52.54      
9 B2 1592 1530 768.06      
10 B2 743 714 5.74      
11 B2 372 358 98.25      
12 B2 371 356 15.57      

Unscaled Zero Point Vibrational Energy (zpe) 3894.8 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 3743.3 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/cc-pVTZ
ABC
0.21183 0.06582 0.05022

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.559
O2 0.000 0.000 0.787
O3 0.000 1.120 -1.158
O4 0.000 -1.120 -1.158
Na5 0.000 2.167 0.708
Na6 0.000 -2.167 0.708

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34621.27021.27022.51072.5107
O21.34622.24432.24432.16852.1685
O31.27022.24432.24092.13953.7802
O41.27022.24432.24093.78022.1395
Na52.51072.16852.13953.78024.3342
Na62.51072.16853.78022.13954.3342

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 87.924 C1 O2 Na6 87.924
C1 O3 Na5 91.187 C1 O4 Na6 91.187
O2 C1 O3 118.102 O2 C1 O4 118.102
O2 Na5 O3 62.787 O2 Na6 O4 62.787
O3 C1 O4 123.796 Na5 O2 Na6 175.849
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.660      
2 O -0.625      
3 O -0.479      
4 O -0.479      
5 Na 0.461      
6 Na 0.461      


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 8.331 8.331
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.562 0.000 0.000
y 0.000 -1.447 0.000
z 0.000 0.000 -38.253
Traceless
 xyz
x -11.712 0.000 0.000
y 0.000 33.460 0.000
z 0.000 0.000 -21.748
Polar
3z2-r2-43.496
x2-y2-30.115
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.205 0.000 0.000
y 0.000 7.878 0.000
z 0.000 0.000 5.929


<r2> (average value of r2) Å2
<r2> 177.556
(<r2>)1/2 13.325