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: LSDA/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at LSDA/aug-cc-pVTZ
 hartrees
Energy at 0K-586.075905
Energy at 298.15K-586.078833
HF Energy-586.075905
Nuclear repulsion energy260.257657
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 LSDA/aug-cc-pVTZ
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 1316 1304 529.29      
2 A1 995 986 99.45      
3 A1 696 690 1.15      
4 A1 355 352 45.84      
5 A1 214 212 22.55      
6 A2 114 112 0.00      
7 B1 835 827 9.63      
8 B1 115 114 51.01      
9 B2 1568 1553 696.43      
10 B2 731 724 6.00      
11 B2 388 384 0.46      
12 B2 381 377 103.56      

Unscaled Zero Point Vibrational Energy (zpe) 3852.9 cm-1
Scaled (by 0.9906) Zero Point Vibrational Energy (zpe) 3816.7 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 LSDA/aug-cc-pVTZ
ABC
0.21468 0.06779 0.05152

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.552
O2 0.000 0.000 0.794
O3 0.000 1.121 -1.151
O4 0.000 -1.121 -1.151
Na5 0.000 2.129 0.699
Na6 0.000 -2.129 0.699

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.34661.27081.27082.46962.4696
O21.34662.24482.24482.13142.1314
O31.27082.24482.24242.10613.7397
O41.27082.24482.24243.73972.1061
Na52.46962.13142.10613.73974.2585
Na62.46962.13143.73972.10614.2585

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 87.430 C1 O2 Na6 87.430
C1 O3 Na5 90.516 C1 O4 Na6 90.516
O2 C1 O3 118.080 O2 C1 O4 118.080
O2 Na5 O3 63.974 O2 Na6 O4 63.974
O3 C1 O4 123.840 Na5 O2 Na6 174.860
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.022      
2 O -0.730      
3 O -0.666      
4 O -0.666      
5 Na 0.520      
6 Na 0.520      


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 8.097 8.097
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.022 0.000 0.000
y 0.000 -3.690 0.000
z 0.000 0.000 -38.909
Traceless
 xyz
x -10.723 0.000 0.000
y 0.000 31.775 0.000
z 0.000 0.000 -21.053
Polar
3z2-r2-42.105
x2-y2-28.332
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.930 0.000 0.000
y 0.000 8.908 0.000
z 0.000 0.000 7.307


<r2> (average value of r2) Å2
<r2> 174.189
(<r2>)1/2 13.198