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

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-588.392830
Energy at 298.15K-588.395724
HF Energy-588.392830
Nuclear repulsion energy258.723636
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 mPW1PW91/6-31G*
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 1375 1304 551.72      
2 A1 1026 973 86.98      
3 A1 710 673 1.68      
4 A1 356 337 42.23      
5 A1 212 201 21.84      
6 A2 113 107 0.00      
7 B1 858 813 24.52      
8 B1 104 99 51.66      
9 B2 1639 1554 748.00      
10 B2 749 710 6.99      
11 B2 386 366 58.13      
12 B2 378 358 55.85      

Unscaled Zero Point Vibrational Energy (zpe) 3952.8 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 3748.5 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 mPW1PW91/6-31G*
ABC
0.21186 0.06685 0.05082

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.559
O2 0.000 0.000 0.792
O3 0.000 1.125 -1.158
O4 0.000 -1.125 -1.158
Na5 0.000 2.146 0.706
Na6 0.000 -2.146 0.706

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35061.27431.27432.49102.4910
O21.35062.25052.25052.14732.1473
O31.27432.25052.24982.12523.7645
O41.27432.25052.24983.76452.1252
Na52.49102.14732.12523.76454.2913
Na62.49102.14733.76452.12524.2913

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 87.728 C1 O2 Na6 87.728
C1 O3 Na5 90.684 C1 O4 Na6 90.684
O2 C1 O3 118.020 O2 C1 O4 118.020
O2 Na5 O3 63.568 O2 Na6 O4 63.568
O3 C1 O4 123.961 Na5 O2 Na6 175.456
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.859      
2 O -0.748      
3 O -0.663      
4 O -0.663      
5 Na 0.607      
6 Na 0.607      


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 8.171 8.171
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.995 0.000 0.000
y 0.000 -2.428 0.000
z 0.000 0.000 -37.836
Traceless
 xyz
x -10.863 0.000 0.000
y 0.000 31.988 0.000
z 0.000 0.000 -21.125
Polar
3z2-r2-42.250
x2-y2-28.567
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.360 0.000 0.000
y 0.000 7.766 0.000
z 0.000 0.000 5.288


<r2> (average value of r2) Å2
<r2> 175.673
(<r2>)1/2 13.254