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/3-21G

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/3-21G
 hartrees
Energy at 0K-582.511281
Energy at 298.15K-582.514235
HF Energy-582.511281
Nuclear repulsion energy262.822059
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/3-21G
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 1226 1206 368.91      
2 A1 900 885 137.46      
3 A1 674 663 1.28      
4 A1 376 370 32.26      
5 A1 247 243 13.83      
6 A2 123 121 0.00      
7 B1 788 775 15.21      
8 B1 105 103 51.54      
9 B2 1580 1554 616.13      
10 B2 713 701 15.15      
11 B2 415 408 13.86      
12 B2 391 384 83.87      

Unscaled Zero Point Vibrational Energy (zpe) 3767.6 cm-1
Scaled (by 0.9836) Zero Point Vibrational Energy (zpe) 3705.8 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/3-21G
ABC
0.21282 0.07198 0.05379

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.563
O2 0.000 0.000 0.839
O3 0.000 1.146 -1.152
O4 0.000 -1.146 -1.152
Na5 0.000 2.044 0.686
Na6 0.000 -2.044 0.686

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.40251.28871.28872.39602.3960
O21.40252.29802.29802.05012.0501
O31.28872.29802.29222.04663.6825
O41.28872.29802.29223.68252.0466
Na52.39602.05012.04663.68254.0888
Na62.39602.05013.68252.04664.0888

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 85.721 C1 O2 Na6 85.721
C1 O3 Na5 88.823 C1 O4 Na6 88.823
O2 C1 O3 117.212 O2 C1 O4 117.212
O2 Na5 O3 68.243 O2 Na6 O4 68.243
O3 C1 O4 125.576 Na5 O2 Na6 171.442
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.626      
2 O -0.509      
3 O -0.498      
4 O -0.498      
5 Na 0.440      
6 Na 0.440      


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 6.891 6.891
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.350 0.000 0.000
y 0.000 -8.682 0.000
z 0.000 0.000 -39.160
Traceless
 xyz
x -8.429 0.000 0.000
y 0.000 27.072 0.000
z 0.000 0.000 -18.644
Polar
3z2-r2-37.287
x2-y2-23.667
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.645 0.000 0.000
y 0.000 9.602 0.000
z 0.000 0.000 6.211


<r2> (average value of r2) Å2
<r2> 168.817
(<r2>)1/2 12.993