return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3LYP/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-54.055006
Energy at 298.15K-54.057663
HF Energy-54.055006
Nuclear repulsion energy62.088101
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 B3LYP/CEP-121G
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 1204 1174 555.73      
2 A1 897 874 102.85      
3 A1 635 619 0.00      
4 A1 320 312 48.39      
5 A1 186 181 24.57      
6 A2 116 113 0.00      
7 B1 749 730 25.49      
8 B1 123 119 66.11      
9 B2 1486 1448 656.28      
10 B2 671 654 7.83      
11 B2 351 342 92.51      
12 B2 327 319 14.24      

Unscaled Zero Point Vibrational Energy (zpe) 3532.2 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 3442.1 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 B3LYP/CEP-121G
ABC
0.19793 0.06433 0.04855

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.599
O2 0.000 0.000 0.814
O3 0.000 1.173 -1.192
O4 0.000 -1.173 -1.192
Na5 0.000 2.178 0.735
Na6 0.000 -2.178 0.735

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.41301.31441.31442.55362.5536
O21.41302.32392.32392.17902.1790
O31.31442.32392.34592.17313.8651
O41.31442.32392.34593.86512.1731
Na52.55362.17902.17313.86514.3552
Na62.55362.17903.86512.17314.3552

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 87.916 C1 O2 Na6 87.916
C1 O3 Na5 90.712 C1 O4 Na6 90.712
O2 C1 O3 116.824 O2 C1 O4 116.824
O2 Na5 O3 64.547 O2 Na6 O4 64.547
O3 C1 O4 126.351 Na5 O2 Na6 175.833
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.098      
2 O -0.786      
3 O -0.488      
4 O -0.488      
5 Na 0.832      
6 Na 0.832      


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 9.162 9.162
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.032 0.000 0.000
y 0.000 5.024 0.000
z 0.000 0.000 -34.688
Traceless
 xyz
x -11.200 0.000 0.000
y 0.000 35.384 0.000
z 0.000 0.000 -24.185
Polar
3z2-r2-48.369
x2-y2-31.056
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.210 0.000 0.000
y 0.000 7.507 0.000
z 0.000 0.000 5.532


<r2> (average value of r2) Å2
<r2> 61.137
(<r2>)1/2 7.819