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

using model chemistry: wB97X-D/TZVP

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/TZVP
 hartrees
Energy at 0K-588.494420
Energy at 298.15K-588.497266
HF Energy-588.494420
Nuclear repulsion energy256.134398
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/TZVP
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 1355 1294 648.63      
2 A1 1021 975 111.90      
3 A1 710 678 0.11      
4 A1 334 319 51.63      
5 A1 195 186 29.62      
6 A2 112 107 0.00      
7 B1 863 824 26.23      
8 B1 117 111 61.52      
9 B2 1616 1543 834.53      
10 B2 747 713 7.62      
11 B2 369 352 94.82      
12 B2 347 332 20.20      

Unscaled Zero Point Vibrational Energy (zpe) 3892.8 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 3717.6 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/TZVP
ABC
0.20910 0.06449 0.04929

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.562
O2 0.000 0.000 0.781
O3 0.000 1.122 -1.154
O4 0.000 -1.122 -1.154
Na5 0.000 2.170 0.709
Na6 0.000 -2.170 0.709

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34261.26891.26892.51432.5143
O21.34262.23682.23682.17092.1709
O31.26892.23682.24452.13713.7824
O41.26892.23682.24453.78242.1371
Na52.51432.17092.13713.78244.3394
Na62.51432.17093.78242.13714.3394

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 88.097 C1 O2 Na6 88.097
C1 O3 Na5 91.526 C1 O4 Na6 91.526
O2 C1 O3 117.823 O2 C1 O4 117.823
O2 Na5 O3 62.554 O2 Na6 O4 62.554
O3 C1 O4 124.354 Na5 O2 Na6 176.195
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.466      
2 O -0.890      
3 O -0.658      
4 O -0.658      
5 Na 0.870      
6 Na 0.870      


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 9.091 9.091
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.268 0.000 0.000
y 0.000 0.846 0.000
z 0.000 0.000 -39.126
Traceless
 xyz
x -12.129 0.000 0.000
y 0.000 36.043 0.000
z 0.000 0.000 -23.914
Polar
3z2-r2-47.829
x2-y2-32.114
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.292 0.000 0.000
y 0.000 6.532 0.000
z 0.000 0.000 4.993


<r2> (average value of r2) Å2
<r2> 180.238
(<r2>)1/2 13.425