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

using model chemistry: HF/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HF/3-21G
 hartrees
Energy at 0K-582.859477
Energy at 298.15K-582.862600
HF Energy-582.859477
Nuclear repulsion energy260.596028
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 HF/3-21G
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 1386 1255 588.02      
2 A1 1035 937 90.55      
3 A1 748 677 2.64      
4 A1 386 349 46.51      
5 A1 226 204 23.86      
6 A2 130 118 0.00      
7 B1 903 818 104.37      
8 B1 125 113 58.38      
9 B2 1694 1534 866.60      
10 B2 789 714 16.03      
11 B2 414 375 99.28      
12 B2 396 359 11.57      

Unscaled Zero Point Vibrational Energy (zpe) 4115.2 cm-1
Scaled (by 0.9056) Zero Point Vibrational Energy (zpe) 3726.7 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 HF/3-21G
ABC
0.21329 0.06857 0.05189

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.578
O2 0.000 0.000 0.787
O3 0.000 1.137 -1.148
O4 0.000 -1.137 -1.148
Na5 0.000 2.109 0.707
Na6 0.000 -2.109 0.707

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.36421.27261.27262.46912.4691
O21.36422.24452.24452.11022.1102
O31.27262.24452.27502.09403.7389
O41.27262.24452.27503.73892.0940
Na52.46912.11022.09403.73894.2175
Na62.46912.11023.73892.09404.2175

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 87.834 C1 O2 Na6 87.834
C1 O3 Na5 90.988 C1 O4 Na6 90.988
O2 C1 O3 116.646 O2 C1 O4 116.646
O2 Na5 O3 64.532 O2 Na6 O4 64.532
O3 C1 O4 126.709 Na5 O2 Na6 175.668
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.084      
2 O -0.876      
3 O -0.796      
4 O -0.796      
5 Na 0.692      
6 Na 0.692      


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 8.652 8.652
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.309 0.000 0.000
y 0.000 -3.480 0.000
z 0.000 0.000 -38.921
Traceless
 xyz
x -9.108 0.000 0.000
y 0.000 31.135 0.000
z 0.000 0.000 -22.026
Polar
3z2-r2-44.053
x2-y2-26.829
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.923 0.000 0.000
y 0.000 5.408 0.000
z 0.000 0.000 3.457


<r2> (average value of r2) Å2
<r2> 172.710
(<r2>)1/2 13.142