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

using model chemistry: wB97X-D/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-588.396346
Energy at 298.15K-588.399197
HF Energy-588.396346
Nuclear repulsion energy256.503531
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/6-31+G**
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 1375 1309 652.48      
2 A1 1033 983 92.57      
3 A1 702 669 0.60      
4 A1 334 318 51.49      
5 A1 205 195 30.48      
6 A2 110 105 0.00      
7 B1 863 822 22.43      
8 B1 118 112 56.05      
9 B2 1622 1545 832.46      
10 B2 744 709 10.11      
11 B2 376 358 90.31      
12 B2 347 330 26.25      

Unscaled Zero Point Vibrational Energy (zpe) 3914.3 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 3727.6 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/6-31+G**
ABC
0.20984 0.06495 0.04960

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.559
O2 0.000 0.000 0.786
O3 0.000 1.127 -1.156
O4 0.000 -1.127 -1.156
Na5 0.000 2.166 0.707
Na6 0.000 -2.166 0.707

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34521.27501.27502.50902.5090
O21.34522.24532.24532.16722.1672
O31.27502.24532.25332.13373.7832
O41.27502.24532.25333.78322.1337
Na52.50902.16722.13373.78324.3315
Na62.50902.16723.78322.13374.3315

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 87.923 C1 O2 Na6 87.923
C1 O3 Na5 91.227 C1 O4 Na6 91.227
O2 C1 O3 117.915 O2 C1 O4 117.915
O2 Na5 O3 62.935 O2 Na6 O4 62.935
O3 C1 O4 124.170 Na5 O2 Na6 175.846
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.795      
2 O -0.990      
3 O -0.730      
4 O -0.730      
5 Na 0.827      
6 Na 0.827      


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 8.916 8.916
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.571 0.000 0.000
y 0.000 -0.270 0.000
z 0.000 0.000 -39.247
Traceless
 xyz
x -11.813 0.000 0.000
y 0.000 35.139 0.000
z 0.000 0.000 -23.326
Polar
3z2-r2-46.652
x2-y2-31.301
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.092 0.000 0.000
y 0.000 6.916 0.000
z 0.000 0.000 5.823


<r2> (average value of r2) Å2
<r2> 179.546
(<r2>)1/2 13.399