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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31G*
 hartrees
Energy at 0K-588.501019
Energy at 298.15K-588.503887
HF Energy-588.501019
Nuclear repulsion energy258.052834
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 B3LYPultrafine/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 1326 1270 514.44      
2 A1 992 950 101.49      
3 A1 699 670 1.01      
4 A1 355 340 39.04      
5 A1 212 203 20.62      
6 A2 116 111 0.00      
7 B1 838 803 21.31      
8 B1 102 98 49.93      
9 B2 1596 1529 727.36      
10 B2 739 708 4.94      
11 B2 387 371 68.52      
12 B2 376 360 43.95      

Unscaled Zero Point Vibrational Energy (zpe) 3869.3 cm-1
Scaled (by 0.958) Zero Point Vibrational Energy (zpe) 3706.8 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 B3LYPultrafine/6-31G*
ABC
0.20980 0.06681 0.05068

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.563
O2 0.000 0.000 0.798
O3 0.000 1.130 -1.163
O4 0.000 -1.130 -1.163
Na5 0.000 2.145 0.709
Na6 0.000 -2.145 0.709

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.36091.27941.27942.49342.4934
O21.36092.26322.26322.14632.1463
O31.27942.26322.26012.12923.7719
O41.27942.26322.26013.77192.1292
Na52.49342.14632.12923.77194.2890
Na62.49342.14633.77192.12924.2890

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 87.627 C1 O2 Na6 87.627
C1 O3 Na5 90.489 C1 O4 Na6 90.489
O2 C1 O3 117.964 O2 C1 O4 117.964
O2 Na5 O3 63.920 O2 Na6 O4 63.920
O3 C1 O4 124.071 Na5 O2 Na6 175.253
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.844      
2 O -0.711      
3 O -0.635      
4 O -0.635      
5 Na 0.569      
6 Na 0.569      


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 7.943 7.943
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.300 0.000 0.000
y 0.000 -3.407 0.000
z 0.000 0.000 -38.066
Traceless
 xyz
x -10.564 0.000 0.000
y 0.000 31.276 0.000
z 0.000 0.000 -20.713
Polar
3z2-r2-41.425
x2-y2-27.893
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.601 0.000 0.000
y 0.000 8.769 0.000
z 0.000 0.000 5.745


<r2> (average value of r2) Å2
<r2> 176.454
(<r2>)1/2 13.284