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

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-584.967237
Energy at 298.15K-584.970165
HF Energy-584.967237
Nuclear repulsion energy260.236430
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 mPW1PW91/3-21G*
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 1254 1191 433.75      
2 A1 928 881 121.80      
3 A1 684 650 0.79      
4 A1 370 351 39.23      
5 A1 232 221 17.02      
6 A2 123 117 0.00      
7 B1 812 771 30.83      
8 B1 108 103 54.02      
9 B2 1590 1510 666.00      
10 B2 720 683 15.95      
11 B2 400 380 35.59      
12 B2 383 364 73.05      

Unscaled Zero Point Vibrational Energy (zpe) 3801.6 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 3610.0 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 mPW1PW91/3-21G*
ABC
0.20990 0.06979 0.05238

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.571
O2 0.000 0.000 0.828
O3 0.000 1.147 -1.160
O4 0.000 -1.147 -1.160
Na5 0.000 2.083 0.698
Na6 0.000 -2.083 0.698

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.39851.28971.28972.43892.4389
O21.39852.29492.29492.08662.0866
O31.28972.29492.29482.08033.7264
O41.28972.29492.29483.72642.0803
Na52.43892.08662.08033.72644.1652
Na62.43892.08663.72642.08034.1652

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 86.449 C1 O2 Na6 86.449
C1 O3 Na5 89.542 C1 O4 Na6 89.542
O2 C1 O3 117.173 O2 C1 O4 117.173
O2 Na5 O3 66.837 O2 Na6 O4 66.837
O3 C1 O4 125.654 Na5 O2 Na6 172.897
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.769      
2 O -0.614      
3 O -0.595      
4 O -0.595      
5 Na 0.518      
6 Na 0.518      


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 7.532 7.532
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.563 0.000 0.000
y 0.000 -6.206 0.000
z 0.000 0.000 -38.939
Traceless
 xyz
x -8.990 0.000 0.000
y 0.000 29.045 0.000
z 0.000 0.000 -20.054
Polar
3z2-r2-40.109
x2-y2-25.357
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.086 0.000 0.000
y 0.000 7.845 0.000
z 0.000 0.000 5.191


<r2> (average value of r2) Å2
<r2> 172.142
(<r2>)1/2 13.120