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

using model chemistry: HSEh1PBE/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/cc-pVDZ
 hartrees
Energy at 0K-588.092913
Energy at 298.15K-588.095841
HF Energy-588.092913
Nuclear repulsion energy258.082028
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-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 1351 1300 596.98      
2 A1 1010 971 106.64      
3 A1 702 675 0.80      
4 A1 351 337 38.94      
5 A1 209 202 21.74      
6 A2 121 117 0.00      
7 B1 855 823 19.81      
8 B1 119 114 53.85      
9 B2 1625 1563 801.45      
10 B2 740 712 6.15      
11 B2 381 367 85.75      
12 B2 369 355 27.06      

Unscaled Zero Point Vibrational Energy (zpe) 3916.8 cm-1
Scaled (by 0.9619) Zero Point Vibrational Energy (zpe) 3767.5 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-pVDZ
ABC
0.21072 0.06645 0.05052

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 -1.160
O4 0.000 -1.126 -1.160
Na5 0.000 2.153 0.710
Na6 0.000 -2.153 0.710

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35581.27401.27402.50152.5015
O21.35582.25292.25292.15432.1543
O31.27402.25292.25292.13263.7746
O41.27402.25292.25293.77462.1326
Na52.50152.15432.13263.77464.3055
Na62.50152.15433.77462.13264.3055

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 87.826 C1 O2 Na6 87.826
C1 O3 Na5 90.914 C1 O4 Na6 90.914
O2 C1 O3 117.854 O2 C1 O4 117.854
O2 Na5 O3 63.406 O2 Na6 O4 63.406
O3 C1 O4 124.293 Na5 O2 Na6 175.653
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.370      
2 O -0.560      
3 O -0.439      
4 O -0.439      
5 Na 0.534      
6 Na 0.534      


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 8.131 8.131
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.601 0.000 0.000
y 0.000 -1.953 0.000
z 0.000 0.000 -38.197
Traceless
 xyz
x -11.525 0.000 0.000
y 0.000 32.946 0.000
z 0.000 0.000 -21.420
Polar
3z2-r2-42.841
x2-y2-29.647
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.638 0.000 0.000
y 0.000 7.984 0.000
z 0.000 0.000 5.343


<r2> (average value of r2) Å2
<r2> 176.714
(<r2>)1/2 13.293