return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B97D3/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-588.384376
Energy at 298.15K-588.387040
HF Energy-588.384376
Nuclear repulsion energy254.802021
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 B97D3/6-311+G(3df,2p)
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 1247 1231 518.26      
2 A1 948 936 120.04      
3 A1 678 669 0.02      
4 A1 321 317 46.30      
5 A1 179 176 24.60      
6 A2 107 105 0.00      
7 B1 824 813 8.93      
8 B1 103 101 50.86      
9 B2 1497 1477 709.62      
10 B2 702 693 2.82      
11 B2 347 343 101.72      
12 B2 332 328 10.12      

Unscaled Zero Point Vibrational Energy (zpe) 3642.3 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 3594.9 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 B97D3/6-311+G(3df,2p)
ABC
0.20738 0.06404 0.04893

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.566
O2 0.000 0.000 0.796
O3 0.000 1.130 -1.170
O4 0.000 -1.130 -1.170
Na5 0.000 2.199 0.716
Na6 0.000 -2.199 0.716

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.36221.28081.28082.54572.5457
O21.36222.26712.26712.20072.2007
O31.28082.26712.25972.16763.8259
O41.28082.26712.25973.82592.1676
Na52.54572.20072.16763.82594.3984
Na62.54572.20073.82592.16764.3984

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 87.673 C1 O2 Na6 87.673
C1 O3 Na5 90.941 C1 O4 Na6 90.941
O2 C1 O3 118.247 O2 C1 O4 118.247
O2 Na5 O3 63.138 O2 Na6 O4 63.138
O3 C1 O4 123.506 Na5 O2 Na6 175.346
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.262      
2 O -0.885      
3 O -0.825      
4 O -0.825      
5 Na 0.636      
6 Na 0.636      


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 8.288 8.288
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.903 0.000 0.000
y 0.000 -1.505 0.000
z 0.000 0.000 -39.065
Traceless
 xyz
x -11.618 0.000 0.000
y 0.000 33.980 0.000
z 0.000 0.000 -22.361
Polar
3z2-r2-44.723
x2-y2-30.398
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.113 0.000 0.000
y 0.000 9.519 0.000
z 0.000 0.000 7.638


<r2> (average value of r2) Å2
<r2> 182.071
(<r2>)1/2 13.493