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

using model chemistry: wB97X-D/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/3-21G*
 hartrees
Energy at 0K-584.972050
Energy at 298.15K-584.974846
HF Energy-584.972050
Nuclear repulsion energy258.950190
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 wB97X-D/3-21G*
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 1271 1205 462.37      
2 A1 941 892 124.58      
3 A1 680 645 0.30      
4 A1 340 322 41.54      
5 A1 205 194 20.77      
6 A2 118 112 0.00      
7 B1 817 775 34.12      
8 B1 119 113 55.10      
9 B2 1607 1523 701.86      
10 B2 707 670 11.37      
11 B2 369 350 85.54      
12 B2 345 327 31.75      

Unscaled Zero Point Vibrational Energy (zpe) 3760.3 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 3564.0 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 wB97X-D/3-21G*
ABC
0.20784 0.06872 0.05164

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.561
O2 0.000 0.000 0.808
O3 0.000 1.142 -1.159
O4 0.000 -1.142 -1.159
Na5 0.000 2.145 0.702
Na6 0.000 -2.145 0.702

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.36901.28911.28912.48932.4893
O21.36902.27462.27462.14732.1473
O31.28912.27462.28382.11473.7773
O41.28912.27462.28383.77732.1147
Na52.48932.14732.11473.77734.2895
Na62.48932.14733.77732.11474.2895

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 87.187 C1 O2 Na6 87.187
C1 O3 Na5 90.663 C1 O4 Na6 90.663
O2 C1 O3 117.647 O2 C1 O4 117.647
O2 Na5 O3 64.503 O2 Na6 O4 64.503
O3 C1 O4 124.707 Na5 O2 Na6 174.373
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.785      
2 O -0.629      
3 O -0.607      
4 O -0.607      
5 Na 0.529      
6 Na 0.529      


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 7.836 7.836
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.322 0.000 0.000
y 0.000 -4.945 0.000
z 0.000 0.000 -38.729
Traceless
 xyz
x -9.485 0.000 0.000
y 0.000 30.080 0.000
z 0.000 0.000 -20.595
Polar
3z2-r2-41.191
x2-y2-26.377
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.013 0.000 0.000
y 0.000 7.425 0.000
z 0.000 0.000 4.871


<r2> (average value of r2) Å2
<r2> 173.975
(<r2>)1/2 13.190