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

using model chemistry: wB97X-D/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 wB97X-D/cc-pVTZ
 hartrees
Energy at 0K-588.512297
Energy at 298.15K-588.515151
HF Energy-588.512297
Nuclear repulsion energy256.634348
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/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 1358 1298 618.69      
2 A1 1026 981 98.64      
3 A1 711 680 0.20      
4 A1 336 322 45.81      
5 A1 201 192 28.11      
6 A2 107 102 0.00      
7 B1 875 836 17.58      
8 B1 108 104 54.06      
9 B2 1602 1532 815.27      
10 B2 746 713 7.35      
11 B2 373 356 86.56      
12 B2 354 338 31.46      

Unscaled Zero Point Vibrational Energy (zpe) 3898.0 cm-1
Scaled (by 0.956) Zero Point Vibrational Energy (zpe) 3726.5 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 wB97X-D/cc-pVTZ
ABC
0.21059 0.06474 0.04952

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.556
O2 0.000 0.000 0.785
O3 0.000 1.119 -1.155
O4 0.000 -1.119 -1.155
Na5 0.000 2.167 0.706
Na6 0.000 -2.167 0.706

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34141.26911.26912.50822.5082
O21.34142.23992.23992.16892.1689
O31.26912.23992.23752.13663.7768
O41.26912.23992.23753.77682.1366
Na52.50822.16892.13663.77684.3348
Na62.50822.16893.77682.13664.3348

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 87.912 C1 O2 Na6 87.912
C1 O3 Na5 91.222 C1 O4 Na6 91.222
O2 C1 O3 118.173 O2 C1 O4 118.173
O2 Na5 O3 62.693 O2 Na6 O4 62.693
O3 C1 O4 123.655 Na5 O2 Na6 175.824
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.636      
2 O -0.626      
3 O -0.488      
4 O -0.488      
5 Na 0.483      
6 Na 0.483      


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 8.599 8.599
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.423 0.000 0.000
y 0.000 0.029 0.000
z 0.000 0.000 -38.240
Traceless
 xyz
x -12.318 0.000 0.000
y 0.000 34.861 0.000
z 0.000 0.000 -22.543
Polar
3z2-r2-45.085
x2-y2-31.452
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.136 0.000 0.000
y 0.000 7.195 0.000
z 0.000 0.000 5.616


<r2> (average value of r2) Å2
<r2> 179.488
(<r2>)1/2 13.397