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

using model chemistry: mPW1PW91/TZVP

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/TZVP
 hartrees
Energy at 0K-588.506996
Energy at 298.15K-588.509884
HF Energy-588.506996
Nuclear repulsion energy257.387272
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/TZVP
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 1343 1282 616.25      
2 A1 1014 968 113.24      
3 A1 711 678 0.25      
4 A1 343 328 49.64      
5 A1 198 189 26.05      
6 A2 117 112 0.00      
7 B1 860 821 24.29      
8 B1 119 113 60.17      
9 B2 1608 1534 791.69      
10 B2 746 712 6.59      
11 B2 371 354 106.27      
12 B2 362 345 4.64      

Unscaled Zero Point Vibrational Energy (zpe) 3895.9 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 3716.7 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/TZVP
ABC
0.21048 0.06553 0.04997

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.570
O2 0.000 0.000 0.780
O3 0.000 1.123 -1.159
O4 0.000 -1.123 -1.159
Na5 0.000 2.172 0.715
Na6 0.000 -2.172 0.715

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34971.26861.26862.52332.5233
O21.34972.24112.24112.17292.1729
O31.26862.24112.24642.14763.7908
O41.26862.24112.24643.79082.1476
Na52.52332.17292.14763.79084.3439
Na62.52332.17293.79082.14764.3439

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 88.278 C1 O2 Na6 88.278
C1 O3 Na5 91.532 C1 O4 Na6 91.532
O2 C1 O3 117.700 O2 C1 O4 117.700
O2 Na5 O3 62.490 O2 Na6 O4 62.490
O3 C1 O4 124.600 Na5 O2 Na6 176.556
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.469      
2 O -0.883      
3 O -0.645      
4 O -0.645      
5 Na 0.852      
6 Na 0.852      


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 8.839 8.839
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.350 0.000 0.000
y 0.000 -0.464 0.000
z 0.000 0.000 -39.078
Traceless
 xyz
x -11.579 0.000 0.000
y 0.000 34.750 0.000
z 0.000 0.000 -23.171
Polar
3z2-r2-46.341
x2-y2-30.886
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.349 0.000 0.000
y 0.000 7.079 0.000
z 0.000 0.000 5.249


<r2> (average value of r2) Å2
<r2> 178.283
(<r2>)1/2 13.352