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

using model chemistry: mPW1PW91/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 mPW1PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-588.531434
Energy at 298.15K-588.534329
HF Energy-588.531434
Nuclear repulsion energy258.086396
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 mPW1PW91/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 1346 1289 590.55      
2 A1 1020 978 94.99      
3 A1 713 683 0.54      
4 A1 347 332 51.62      
5 A1 203 194 25.02      
6 A2 110 105 0.00      
7 B1 871 834 15.87      
8 B1 112 107 52.66      
9 B2 1585 1518 768.69      
10 B2 742 711 6.84      
11 B2 374 358 43.47      
12 B2 370 354 69.67      

Unscaled Zero Point Vibrational Energy (zpe) 3895.8 cm-1
Scaled (by 0.9581) Zero Point Vibrational Energy (zpe) 3732.6 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 mPW1PW91/aug-cc-pVTZ
ABC
0.21266 0.06587 0.05030

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.558
O2 0.000 0.000 0.786
O3 0.000 1.121 -1.155
O4 0.000 -1.121 -1.155
Na5 0.000 2.166 0.707
Na6 0.000 -2.166 0.707

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34411.27011.27012.50812.5081
O21.34412.24192.24192.16752.1675
O31.27012.24192.24142.13543.7776
O41.27012.24192.24143.77762.1354
Na52.50812.16752.13543.77764.3321
Na62.50812.16753.77762.13544.3321

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 87.894 C1 O2 Na6 87.894
C1 O3 Na5 91.239 C1 O4 Na6 91.239
O2 C1 O3 118.070 O2 C1 O4 118.070
O2 Na5 O3 62.797 O2 Na6 O4 62.797
O3 C1 O4 123.860 Na5 O2 Na6 175.788
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.965      
2 O -0.895      
3 O -0.736      
4 O -0.736      
5 Na 0.701      
6 Na 0.701      


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 8.506 8.506
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.461 0.000 0.000
y 0.000 -1.308 0.000
z 0.000 0.000 -38.576
Traceless
 xyz
x -11.519 0.000 0.000
y 0.000 33.710 0.000
z 0.000 0.000 -22.191
Polar
3z2-r2-44.383
x2-y2-30.153
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.532 0.000 0.000
y 0.000 7.655 0.000
z 0.000 0.000 6.465


<r2> (average value of r2) Å2
<r2> 177.327
(<r2>)1/2 13.316