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

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-588.420660
Energy at 298.15K-588.423597
HF Energy-588.420660
Nuclear repulsion energy259.203500
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 mPW1PW91/6-31G(2df,p)
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 1352 1291 532.49      
2 A1 1018 972 95.47      
3 A1 714 681 1.12      
4 A1 358 342 41.69      
5 A1 214 204 20.53      
6 A2 114 108 0.00      
7 B1 868 828 16.46      
8 B1 113 108 49.82      
9 B2 1613 1540 756.51      
10 B2 745 711 8.93      
11 B2 386 369 26.58      
12 B2 377 360 89.47      

Unscaled Zero Point Vibrational Energy (zpe) 3935.5 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 3757.2 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 mPW1PW91/6-31G(2df,p)
ABC
0.21543 0.06661 0.05088

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.551
O2 0.000 0.000 0.796
O3 0.000 1.120 -1.149
O4 0.000 -1.120 -1.149
Na5 0.000 2.152 0.696
Na6 0.000 -2.152 0.696

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34751.26971.26972.48722.4872
O21.34752.24462.24462.15432.1543
O31.26972.24462.24072.11353.7564
O41.26972.24462.24073.75642.1135
Na52.48722.15432.11353.75644.3039
Na62.48722.15433.75642.11354.3039

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 87.330 C1 O2 Na6 87.330
C1 O3 Na5 91.144 C1 O4 Na6 91.144
O2 C1 O3 118.072 O2 C1 O4 118.072
O2 Na5 O3 63.454 O2 Na6 O4 63.454
O3 C1 O4 123.857 Na5 O2 Na6 174.660
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.492      
2 O -0.563      
3 O -0.509      
4 O -0.509      
5 Na 0.544      
6 Na 0.544      


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 7.817 7.817
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.262 0.000 0.000
y 0.000 -2.522 0.000
z 0.000 0.000 -37.644
Traceless
 xyz
x -11.179 0.000 0.000
y 0.000 31.931 0.000
z 0.000 0.000 -20.752
Polar
3z2-r2-41.504
x2-y2-28.740
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.060 0.000 0.000
y 0.000 7.837 0.000
z 0.000 0.000 5.731


<r2> (average value of r2) Å2
<r2> 175.499
(<r2>)1/2 13.248