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

using model chemistry: LSDA/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 LSDA/6-31+G**
 hartrees
Energy at 0K-585.942986
Energy at 298.15K-585.945919
HF Energy-585.942986
Nuclear repulsion energy259.760452
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 LSDA/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 1330 1310 551.56      
2 A1 998 983 97.61      
3 A1 687 676 1.56      
4 A1 356 350 44.95      
5 A1 218 215 23.59      
6 A2 119 117 0.00      
7 B1 823 811 11.59      
8 B1 129 127 53.14      
9 B2 1596 1572 713.92      
10 B2 732 721 8.55      
11 B2 388 382 92.82      
12 B2 374 368 12.00      

Unscaled Zero Point Vibrational Energy (zpe) 3873.0 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 3814.9 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 LSDA/6-31+G**
ABC
0.21261 0.06789 0.05146

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/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 0.795
O3 0.000 1.129 -1.155
O4 0.000 -1.129 -1.155
Na5 0.000 2.125 0.704
Na6 0.000 -2.125 0.704

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35351.27701.27702.47132.4713
O21.35352.25332.25332.12652.1265
O31.27702.25332.25842.10863.7473
O41.27702.25332.25843.74732.1086
Na52.47132.12652.10863.74734.2490
Na62.47132.12653.74732.10864.2490

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 87.547 C1 O2 Na6 87.547
C1 O3 Na5 90.323 C1 O4 Na6 90.323
O2 C1 O3 117.843 O2 C1 O4 117.843
O2 Na5 O3 64.287 O2 Na6 O4 64.287
O3 C1 O4 124.313 Na5 O2 Na6 175.095
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.673      
2 O -1.008      
3 O -0.650      
4 O -0.650      
5 Na 0.818      
6 Na 0.818      


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 8.259 8.259
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.201 0.000 0.000
y 0.000 -3.917 0.000
z 0.000 0.000 -39.471
Traceless
 xyz
x -10.508 0.000 0.000
y 0.000 31.919 0.000
z 0.000 0.000 -21.412
Polar
3z2-r2-42.824
x2-y2-28.285
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.552 0.000 0.000
y 0.000 8.746 0.000
z 0.000 0.000 6.962


<r2> (average value of r2) Å2
<r2> 174.608
(<r2>)1/2 13.214