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

using model chemistry: B3LYP/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 B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-588.530918
Energy at 298.15K-588.533833
HF Energy-588.530918
Nuclear repulsion energy258.530737
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 B3LYP/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 1305 1259 498.32      
2 A1 985 950 113.52      
3 A1 703 678 0.43      
4 A1 357 345 38.95      
5 A1 212 205 19.26      
6 A2 115 111 0.00      
7 B1 849 819 15.11      
8 B1 115 111 48.72      
9 B2 1573 1518 744.02      
10 B2 736 710 7.33      
11 B2 385 371 42.92      
12 B2 376 363 71.80      

Unscaled Zero Point Vibrational Energy (zpe) 3855.6 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 3720.6 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 B3LYP/6-31G(2df,p)
ABC
0.21380 0.06647 0.05071

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.555
O2 0.000 0.000 0.803
O3 0.000 1.125 -1.152
O4 0.000 -1.125 -1.152
Na5 0.000 2.153 0.698
Na6 0.000 -2.153 0.698

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35771.27421.27422.49062.4906
O21.35772.25612.25612.15542.1554
O31.27422.25612.25062.11623.7641
O41.27422.25612.25063.76412.1162
Na52.49062.15542.11623.76414.3057
Na62.49062.15543.76412.11624.3057

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 87.197 C1 O2 Na6 87.197
C1 O3 Na5 91.073 C1 O4 Na6 91.073
O2 C1 O3 117.976 O2 C1 O4 117.976
O2 Na5 O3 63.754 O2 Na6 O4 63.754
O3 C1 O4 124.049 Na5 O2 Na6 174.393
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.432      
2 O -0.505      
3 O -0.461      
4 O -0.461      
5 Na 0.498      
6 Na 0.498      


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 7.616 7.616
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.591 0.000 0.000
y 0.000 -3.358 0.000
z 0.000 0.000 -37.965
Traceless
 xyz
x -10.929 0.000 0.000
y 0.000 31.420 0.000
z 0.000 0.000 -20.491
Polar
3z2-r2-40.982
x2-y2-28.233
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.251 0.000 0.000
y 0.000 8.536 0.000
z 0.000 0.000 6.074


<r2> (average value of r2) Å2
<r2> 176.363
(<r2>)1/2 13.280