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

using model chemistry: HF/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 HF/6-31G(2df,p)
 hartrees
Energy at 0K-586.312586
Energy at 298.15K-586.315675
HF Energy-586.312586
Nuclear repulsion energy260.751934
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/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 1488 1347 665.73      
2 A1 1123 1017 74.63      
3 A1 777 704 2.83      
4 A1 373 337 51.14      
5 A1 213 193 25.29      
6 A2 120 109 0.00      
7 B1 980 888 47.06      
8 B1 117 106 51.15      
9 B2 1722 1560 920.72      
10 B2 808 731 13.09      
11 B2 402 364 63.86      
12 B2 384 347 61.85      

Unscaled Zero Point Vibrational Energy (zpe) 4253.1 cm-1
Scaled (by 0.9055) Zero Point Vibrational Energy (zpe) 3851.2 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 HF/6-31G(2df,p)
ABC
0.21998 0.06653 0.05108

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.549
O2 0.000 0.000 0.773
O3 0.000 1.107 -1.136
O4 0.000 -1.107 -1.136
Na5 0.000 2.158 0.695
Na6 0.000 -2.158 0.695

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.32171.25291.25292.49112.4911
O21.32172.20642.20642.15982.1598
O31.25292.20642.21362.11143.7434
O41.25292.20642.21363.74342.1114
Na52.49112.15982.11143.74344.3167
Na62.49112.15983.74342.11144.3167

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 87.934 C1 O2 Na6 87.934
C1 O3 Na5 91.928 C1 O4 Na6 91.928
O2 C1 O3 117.944 O2 C1 O4 117.944
O2 Na5 O3 62.195 O2 Na6 O4 62.195
O3 C1 O4 124.113 Na5 O2 Na6 175.868
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.669      
2 O -0.729      
3 O -0.646      
4 O -0.646      
5 Na 0.676      
6 Na 0.676      


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 8.434 8.434
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.534 0.000 0.000
y 0.000 -0.779 0.000
z 0.000 0.000 -37.556
Traceless
 xyz
x -11.366 0.000 0.000
y 0.000 33.266 0.000
z 0.000 0.000 -21.900
Polar
3z2-r2-43.800
x2-y2-29.755
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.368 0.000 0.000
y 0.000 5.537 0.000
z 0.000 0.000 4.313


<r2> (average value of r2) Å2
<r2> 174.282
(<r2>)1/2 13.202