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

using model chemistry: B3LYP/aug-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 B3LYP/aug-cc-pVTZ
 hartrees
Energy at 0K-588.646159
Energy at 298.15K-588.649025
HF Energy-588.646159
Nuclear repulsion energy257.293232
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 B3LYP/aug-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 1298 1256 561.10      
2 A1 989 956 112.12      
3 A1 702 679 0.09      
4 A1 346 334 49.75      
5 A1 199 193 24.67      
6 A2 113 109 0.00      
7 B1 855 827 15.10      
8 B1 113 109 52.05      
9 B2 1540 1490 756.03      
10 B2 733 709 5.31      
11 B2 372 360 89.42      
12 B2 366 354 22.68      

Unscaled Zero Point Vibrational Energy (zpe) 3812.4 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 3688.5 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 B3LYP/aug-cc-pVTZ
ABC
0.21068 0.06568 0.05007

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVTZ

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 0.792
O3 0.000 1.126 -1.161
O4 0.000 -1.126 -1.161
Na5 0.000 2.168 0.709
Na6 0.000 -2.168 0.709

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35351.27501.27502.51312.5131
O21.35352.25362.25362.16962.1696
O31.27502.25362.25132.14083.7875
O41.27502.25362.25133.78752.1408
Na52.51312.16962.14083.78754.3361
Na62.51312.16963.78752.14084.3361

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 87.822 C1 O2 Na6 87.822
C1 O3 Na5 91.125 C1 O4 Na6 91.125
O2 C1 O3 118.013 O2 C1 O4 118.013
O2 Na5 O3 63.040 O2 Na6 O4 63.040
O3 C1 O4 123.973 Na5 O2 Na6 175.644
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.000      
2 O -0.837      
3 O -0.696      
4 O -0.696      
5 Na 0.615      
6 Na 0.615      


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 8.410 8.410
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.833 0.000 0.000
y 0.000 -2.042 0.000
z 0.000 0.000 -39.072
Traceless
 xyz
x -11.275 0.000 0.000
y 0.000 33.410 0.000
z 0.000 0.000 -22.135
Polar
3z2-r2-44.270
x2-y2-29.791
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.740 0.000 0.000
y 0.000 8.318 0.000
z 0.000 0.000 6.874


<r2> (average value of r2) Å2
<r2> 178.397
(<r2>)1/2 13.357