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

using model chemistry: M06-2X/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/STO-3G
 hartrees
Energy at 0K-580.849386
Energy at 298.15K-580.852858
HF Energy-580.849386
Nuclear repulsion energy268.475302
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 M06-2X/STO-3G
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 1463 1463 245.15      
2 A1 1024 1024 22.22      
3 A1 810 810 17.01      
4 A1 497 497 25.61      
5 A1 381 381 16.04      
6 A2 172 172 0.00      
7 B1 738 738 34.18      
8 B1 140 140 48.14      
9 B2 1752 1752 412.55      
10 B2 945 945 66.12      
11 B2 663 663 2.32      
12 B2 517 517 78.53      

Unscaled Zero Point Vibrational Energy (zpe) 4549.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 4549.8 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 M06-2X/STO-3G
ABC
0.22003 0.07716 0.05713

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.549
O2 0.000 0.000 0.851
O3 0.000 1.181 -1.134
O4 0.000 -1.181 -1.134
Na5 0.000 1.945 0.665
Na6 0.000 -1.945 0.665

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.40031.31761.31762.29242.2924
O21.40032.30942.30941.95341.9534
O31.31762.30942.36191.95383.6060
O41.31762.30942.36193.60601.9538
Na52.29241.95341.95383.60603.8890
Na62.29241.95343.60601.95383.8890

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 84.531 C1 O2 Na6 84.531
C1 O3 Na5 86.680 C1 O4 Na6 86.680
O2 C1 O3 116.325 O2 C1 O4 116.325
O2 Na5 O3 72.464 O2 Na6 O4 72.464
O3 C1 O4 127.350 Na5 O2 Na6 169.063
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.160      
2 O -0.497      
3 O -0.430      
4 O -0.430      
5 Na 0.598      
6 Na 0.598      


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 7.036 7.036
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.010 0.000 0.000
y 0.000 -6.796 0.000
z 0.000 0.000 -31.905
Traceless
 xyz
x -6.659 0.000 0.000
y 0.000 22.161 0.000
z 0.000 0.000 -15.502
Polar
3z2-r2-31.004
x2-y2-19.214
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.715 0.000 0.000
y 0.000 4.405 0.000
z 0.000 0.000 2.397


<r2> (average value of r2) Å2
<r2> 156.860
(<r2>)1/2 12.524