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

using model chemistry: PBEPBE/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 PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-588.005490
Energy at 298.15K-588.008301
HF Energy-588.005490
Nuclear repulsion energy256.750940
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 PBEPBE/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 1252 1239 435.30      
2 A1 942 932 110.72      
3 A1 674 667 0.51      
4 A1 345 342 33.06      
5 A1 210 208 17.51      
6 A2 111 110 0.00      
7 B1 806 798 6.89      
8 B1 111 110 47.55      
9 B2 1520 1505 684.13      
10 B2 707 699 4.49      
11 B2 374 370 4.77      
12 B2 368 364 103.77      

Unscaled Zero Point Vibrational Energy (zpe) 3710.0 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 3671.8 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 PBEPBE/6-31G(2df,p)
ABC
0.21022 0.06577 0.05009

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.557
O2 0.000 0.000 0.814
O3 0.000 1.133 -1.163
O4 0.000 -1.133 -1.163
Na5 0.000 2.164 0.702
Na6 0.000 -2.164 0.702

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.37011.28481.28482.50312.5031
O21.37012.27802.27802.16672.1667
O31.28482.27802.26542.13083.7873
O41.28482.27802.26543.78732.1308
Na52.50312.16672.13083.78734.3276
Na62.50312.16673.78732.13084.3276

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 87.042 C1 O2 Na6 87.042
C1 O3 Na5 90.782 C1 O4 Na6 90.782
O2 C1 O3 118.160 O2 C1 O4 118.160
O2 Na5 O3 64.016 O2 Na6 O4 64.016
O3 C1 O4 123.680 Na5 O2 Na6 174.085
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.406      
2 O -0.470      
3 O -0.431      
4 O -0.431      
5 Na 0.463      
6 Na 0.463      


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 7.351 7.351
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.046 0.000 0.000
y 0.000 -3.982 0.000
z 0.000 0.000 -38.124
Traceless
 xyz
x -10.993 0.000 0.000
y 0.000 31.103 0.000
z 0.000 0.000 -20.110
Polar
3z2-r2-40.220
x2-y2-28.064
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.726 0.000 0.000
y 0.000 10.556 0.000
z 0.000 0.000 7.239


<r2> (average value of r2) Å2
<r2> 178.597
(<r2>)1/2 13.364