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

using model chemistry: B97D3/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 B97D3/cc-pVTZ
 hartrees
Energy at 0K-588.400725
Energy at 298.15K-588.403397
HF Energy-588.400725
Nuclear repulsion energy254.129104
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 B97D3/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 1242 1225 515.35      
2 A1 941 928 125.36      
3 A1 675 666 0.06      
4 A1 321 317 39.61      
5 A1 178 175 23.18      
6 A2 109 107 0.00      
7 B1 820 809 8.22      
8 B1 105 104 51.79      
9 B2 1497 1476 713.82      
10 B2 701 691 1.77      
11 B2 347 342 107.06      
12 B2 333 329 4.97      

Unscaled Zero Point Vibrational Energy (zpe) 3634.7 cm-1
Scaled (by 0.986) Zero Point Vibrational Energy (zpe) 3583.8 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 B97D3/cc-pVTZ
ABC
0.20544 0.06378 0.04867

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.570
O2 0.000 0.000 0.796
O3 0.000 1.130 -1.175
O4 0.000 -1.130 -1.175
Na5 0.000 2.204 0.721
Na6 0.000 -2.204 0.721

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.36571.28241.28242.55422.5542
O21.36572.27232.27232.20562.2056
O31.28242.27232.26102.17873.8359
O41.28242.27232.26103.83592.1787
Na52.55422.20562.17873.83594.4086
Na62.55422.20563.83592.17874.4086

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 87.661 C1 O2 Na6 87.661
C1 O3 Na5 90.819 C1 O4 Na6 90.819
O2 C1 O3 118.355 O2 C1 O4 118.355
O2 Na5 O3 63.166 O2 Na6 O4 63.166
O3 C1 O4 123.290 Na5 O2 Na6 175.321
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.595      
2 O -0.599      
3 O -0.459      
4 O -0.459      
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 8.193 8.193
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.923 0.000 0.000
y 0.000 -1.072 0.000
z 0.000 0.000 -38.502
Traceless
 xyz
x -12.136 0.000 0.000
y 0.000 34.140 0.000
z 0.000 0.000 -22.004
Polar
3z2-r2-44.008
x2-y2-30.850
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.774 0.000 0.000
y 0.000 9.879 0.000
z 0.000 0.000 7.083


<r2> (average value of r2) Å2
<r2> 182.763
(<r2>)1/2 13.519