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

using model chemistry: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-588.460313
Energy at 298.15K-588.463195
HF Energy-588.460313
Nuclear repulsion energy257.565616
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 mPW1PW91/aug-cc-pVDZ
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 1349 1292 593.39      
2 A1 1014 972 84.23      
3 A1 705 676 0.81      
4 A1 347 333 52.59      
5 A1 203 195 25.25      
6 A2 113 108 0.00      
7 B1 860 824 15.31      
8 B1 109 104 53.88      
9 B2 1587 1521 745.78      
10 B2 736 706 7.08      
11 B2 373 357 84.21      
12 B2 366 350 31.22      

Unscaled Zero Point Vibrational Energy (zpe) 3881.1 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 3719.3 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 mPW1PW91/aug-cc-pVDZ
ABC
0.21217 0.06569 0.05016

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.557
O2 0.000 0.000 0.792
O3 0.000 1.127 -1.157
O4 0.000 -1.127 -1.157
Na5 0.000 2.167 0.706
Na6 0.000 -2.167 0.706

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34871.27641.27642.50842.5084
O21.34872.25112.25112.16922.1692
O31.27642.25112.25312.13383.7842
O41.27642.25112.25313.78422.1338
Na52.50842.16922.13383.78424.3349
Na62.50842.16923.78422.13384.3349

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 87.723 C1 O2 Na6 87.723
C1 O3 Na5 91.153 C1 O4 Na6 91.153
O2 C1 O3 118.044 O2 C1 O4 118.044
O2 Na5 O3 63.080 O2 Na6 O4 63.080
O3 C1 O4 123.911 Na5 O2 Na6 175.446
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.933      
2 O -1.035      
3 O -0.733      
4 O -0.733      
5 Na 0.783      
6 Na 0.783      


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 8.559 8.559
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.706 0.000 0.000
y 0.000 -1.148 0.000
z 0.000 0.000 -38.764
Traceless
 xyz
x -11.750 0.000 0.000
y 0.000 34.087 0.000
z 0.000 0.000 -22.337
Polar
3z2-r2-44.674
x2-y2-30.558
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.452 0.000 0.000
y 0.000 7.616 0.000
z 0.000 0.000 6.390


<r2> (average value of r2) Å2
<r2> 177.823
(<r2>)1/2 13.335