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

using model chemistry: M06-2X/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 M06-2X/cc-pVTZ
 hartrees
Energy at 0K-588.484788
Energy at 298.15K-588.487718
HF Energy-588.484788
Nuclear repulsion energy258.757743
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/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 1372 1310 603.34      
2 A1 1034 987 104.48      
3 A1 721 689 0.39      
4 A1 350 334 49.48      
5 A1 211 201 23.35      
6 A2 114 109 0.00      
7 B1 884 845 24.69      
8 B1 104 99 53.89      
9 B2 1624 1551 824.92      
10 B2 754 720 9.77      
11 B2 381 364 11.41      
12 B2 374 357 104.89      

Unscaled Zero Point Vibrational Energy (zpe) 3960.9 cm-1
Scaled (by 0.9551) Zero Point Vibrational Energy (zpe) 3783.1 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/cc-pVTZ
ABC
0.21348 0.06642 0.05066

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.558
O2 0.000 0.000 0.788
O3 0.000 1.121 -1.153
O4 0.000 -1.121 -1.153
Na5 0.000 2.155 0.704
Na6 0.000 -2.155 0.704

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34591.26941.26942.49752.4975
O21.34592.24172.24172.15702.1570
O31.26942.24172.24232.12563.7662
O41.26942.24172.24233.76622.1256
Na52.49752.15702.12563.76624.3108
Na62.49752.15703.76622.12564.3108

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 87.763 C1 O2 Na6 87.763
C1 O3 Na5 91.150 C1 O4 Na6 91.150
O2 C1 O3 117.966 O2 C1 O4 117.966
O2 Na5 O3 63.121 O2 Na6 O4 63.121
O3 C1 O4 124.068 Na5 O2 Na6 175.527
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.751      
2 O -0.662      
3 O -0.509      
4 O -0.509      
5 Na 0.464      
6 Na 0.464      


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 8.446 8.446
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.466 0.000 0.000
y 0.000 -1.389 0.000
z 0.000 0.000 -38.360
Traceless
 xyz
x -11.592 0.000 0.000
y 0.000 33.524 0.000
z 0.000 0.000 -21.932
Polar
3z2-r2-43.864
x2-y2-30.078
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.850 0.000 0.000
y 0.000 6.803 0.000
z 0.000 0.000 5.322


<r2> (average value of r2) Å2
<r2> 176.154
(<r2>)1/2 13.272