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

using model chemistry: HF/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 HF/aug-cc-pVTZ
 hartrees
Energy at 0K-586.419436
Energy at 298.15K-586.422473
HF Energy-586.419436
Nuclear repulsion energy259.770061
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/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 1483 1350 717.87      
2 A1 1123 1022 73.40      
3 A1 775 706 1.79      
4 A1 359 327 59.07      
5 A1 203 185 28.96      
6 A2 116 105 0.00      
7 B1 978 890 44.40      
8 B1 116 105 54.01      
9 B2 1699 1547 934.83      
10 B2 804 732 10.74      
11 B2 387 353 76.03      
12 B2 375 341 45.50      

Unscaled Zero Point Vibrational Energy (zpe) 4208.0 cm-1
Scaled (by 0.9104) Zero Point Vibrational Energy (zpe) 3831.0 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/aug-cc-pVTZ
ABC
0.21764 0.06587 0.05057

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.554
O2 0.000 0.000 0.765
O3 0.000 1.107 -1.142
O4 0.000 -1.107 -1.142
Na5 0.000 2.171 0.703
Na6 0.000 -2.171 0.703

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.31941.25331.25332.50902.5090
O21.31942.20472.20472.17182.1718
O31.25332.20472.21462.12953.7617
O41.25332.20472.21463.76172.1295
Na52.50902.17182.12953.76174.3418
Na62.50902.17183.76172.12954.3418

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 88.376 C1 O2 Na6 88.376
C1 O3 Na5 92.034 C1 O4 Na6 92.034
O2 C1 O3 117.930 O2 C1 O4 117.930
O2 Na5 O3 61.660 O2 Na6 O4 61.660
O3 C1 O4 124.140 Na5 O2 Na6 176.751
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.900      
2 O -1.032      
3 O -0.768      
4 O -0.768      
5 Na 0.834      
6 Na 0.834      


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 8.975 8.975
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.766 0.000 0.000
y 0.000 0.222 0.000
z 0.000 0.000 -38.354
Traceless
 xyz
x -11.700 0.000 0.000
y 0.000 34.782 0.000
z 0.000 0.000 -23.081
Polar
3z2-r2-46.163
x2-y2-30.988
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.764 0.000 0.000
y 0.000 5.507 0.000
z 0.000 0.000 4.920


<r2> (average value of r2) Å2
<r2> 175.901
(<r2>)1/2 13.263