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

using model chemistry: B3PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-31G
 hartrees
Energy at 0K-588.215978
Energy at 298.15K-588.218777
HF Energy-588.215978
Nuclear repulsion energy255.067065
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 B3PW91/6-31G
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 1269 1215 504.52      
2 A1 944 904 96.75      
3 A1 671 642 0.32      
4 A1 348 333 42.23      
5 A1 201 193 22.54      
6 A2 115 110 0.00      
7 B1 787 754 29.83      
8 B1 118 113 60.58      
9 B2 1572 1506 648.73      
10 B2 711 681 8.29      
11 B2 379 363 99.91      
12 B2 354 339 10.52      

Unscaled Zero Point Vibrational Energy (zpe) 3734.5 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 3576.6 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 B3PW91/6-31G
ABC
0.20315 0.06575 0.04967

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.586
O2 0.000 0.000 0.803
O3 0.000 1.153 -1.178
O4 0.000 -1.153 -1.178
Na5 0.000 2.157 0.725
Na6 0.000 -2.157 0.725

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.38821.29691.29692.52352.5235
O21.38822.29232.29232.15792.1579
O31.29692.29232.30702.15143.8182
O41.29692.29232.30703.81822.1514
Na52.52352.15792.15143.81824.3130
Na62.52352.15793.81822.15144.3130

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 87.937 C1 O2 Na6 87.937
C1 O3 Na5 90.589 C1 O4 Na6 90.589
O2 C1 O3 117.200 O2 C1 O4 117.200
O2 Na5 O3 64.274 O2 Na6 O4 64.274
O3 C1 O4 125.599 Na5 O2 Na6 175.874
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.635      
2 O -0.789      
3 O -0.639      
4 O -0.639      
5 Na 0.717      
6 Na 0.717      


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 8.657 8.657
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.231 0.000 0.000
y 0.000 -2.344 0.000
z 0.000 0.000 -39.298
Traceless
 xyz
x -10.410 0.000 0.000
y 0.000 32.920 0.000
z 0.000 0.000 -22.510
Polar
3z2-r2-45.021
x2-y2-28.887
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.868 0.000 0.000
y 0.000 8.103 0.000
z 0.000 0.000 5.303


<r2> (average value of r2) Å2
<r2> 179.761
(<r2>)1/2 13.408