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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G
 hartrees
Energy at 0K-587.905223
Energy at 298.15K-587.908063
HF Energy-587.905223
Nuclear repulsion energy255.764907
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 PBE1PBE/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 1288 1231 511.88      
2 A1 959 916 93.50      
3 A1 678 648 0.66      
4 A1 353 338 41.90      
5 A1 205 196 22.62      
6 A2 116 111 0.00      
7 B1 795 760 31.98      
8 B1 119 114 60.06      
9 B2 1591 1521 661.30      
10 B2 720 688 8.86      
11 B2 384 367 98.55      
12 B2 360 344 11.09      

Unscaled Zero Point Vibrational Energy (zpe) 3784.0 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 3617.1 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 PBE1PBE/6-31G
ABC
0.20431 0.06612 0.04995

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.583
O2 0.000 0.000 0.800
O3 0.000 1.151 -1.175
O4 0.000 -1.151 -1.175
Na5 0.000 2.150 0.723
Na6 0.000 -2.150 0.723

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.38371.29421.29422.51592.5159
O21.38372.28632.28632.15172.1517
O31.29422.28632.30202.14493.8080
O41.29422.28632.30203.80802.1449
Na52.51592.15172.14493.80804.3005
Na62.51592.15173.80802.14494.3005

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 87.937 C1 O2 Na6 87.937
C1 O3 Na5 90.558 C1 O4 Na6 90.558
O2 C1 O3 117.208 O2 C1 O4 117.208
O2 Na5 O3 64.297 O2 Na6 O4 64.297
O3 C1 O4 125.584 Na5 O2 Na6 175.874
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.656      
2 O -0.796      
3 O -0.646      
4 O -0.646      
5 Na 0.716      
6 Na 0.716      


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 8.625 8.625
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.274 0.000 0.000
y 0.000 -2.702 0.000
z 0.000 0.000 -39.355
Traceless
 xyz
x -10.245 0.000 0.000
y 0.000 32.612 0.000
z 0.000 0.000 -22.367
Polar
3z2-r2-44.734
x2-y2-28.572
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.828 0.000 0.000
y 0.000 7.996 0.000
z 0.000 0.000 5.225


<r2> (average value of r2) Å2
<r2> 178.940
(<r2>)1/2 13.377