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

using model chemistry: B3PW91/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/STO-3G
 hartrees
Energy at 0K-580.675758
Energy at 298.15K-580.679059
HF Energy-580.675758
Nuclear repulsion energy266.404882
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 B3PW91/STO-3G
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 1398 1238 211.56      
2 A1 979 867 20.95      
3 A1 774 685 14.21      
4 A1 480 425 26.49      
5 A1 364 322 14.11      
6 A2 151 134 0.00      
7 B1 697 617 22.78      
8 B1 127 112 46.60      
9 B2 1684 1491 340.47      
10 B2 907 803 61.04      
11 B2 628 556 1.47      
12 B2 499 441 77.90      

Unscaled Zero Point Vibrational Energy (zpe) 4344.5 cm-1
Scaled (by 0.885) Zero Point Vibrational Energy (zpe) 3844.9 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 B3PW91/STO-3G
ABC
0.21612 0.07617 0.05632

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.551
O2 0.000 0.000 0.863
O3 0.000 1.190 -1.144
O4 0.000 -1.190 -1.144
Na5 0.000 1.956 0.669
Na6 0.000 -1.956 0.669

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.41401.33001.33002.30542.3054
O21.41402.33392.33391.96601.9660
O31.33002.33392.38051.96843.6316
O41.33002.33392.38053.63161.9684
Na52.30541.96601.96843.63163.9128
Na62.30541.96603.63161.96843.9128

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 84.326 C1 O2 Na6 84.326
C1 O3 Na5 86.404 C1 O4 Na6 86.404
O2 C1 O3 116.503 O2 C1 O4 116.503
O2 Na5 O3 72.767 O2 Na6 O4 72.767
O3 C1 O4 126.994 Na5 O2 Na6 168.653
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.115      
2 O -0.470      
3 O -0.406      
4 O -0.406      
5 Na 0.583      
6 Na 0.583      


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 6.957 6.957
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.143 0.000 0.000
y 0.000 -6.694 0.000
z 0.000 0.000 -31.714
Traceless
 xyz
x -6.939 0.000 0.000
y 0.000 22.235 0.000
z 0.000 0.000 -15.296
Polar
3z2-r2-30.591
x2-y2-19.449
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.775 0.000 0.000
y 0.000 4.725 0.000
z 0.000 0.000 2.580


<r2> (average value of r2) Å2
<r2> 158.885
(<r2>)1/2 12.605