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: BLYP/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 BLYP/3-21G
 hartrees
Energy at 0K-584.964468
Energy at 298.15K-584.967119
HF Energy-584.964468
Nuclear repulsion energy255.201349
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 BLYP/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 1103 1096 322.99      
2 A1 818 814 165.64      
3 A1 634 631 0.10      
4 A1 340 339 23.38      
5 A1 213 212 13.16      
6 A2 114 114 0.00      
7 B1 730 726 9.65      
8 B1 88 88 49.03      
9 B2 1444 1437 587.64      
10 B2 670 666 1.48      
11 B2 381 379 54.90      
12 B2 354 353 33.03      

Unscaled Zero Point Vibrational Energy (zpe) 3444.7 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 3425.8 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 BLYP/3-21G
ABC
0.19982 0.06737 0.05039

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.596
O2 0.000 0.000 0.839
O3 0.000 1.167 -1.186
O4 0.000 -1.167 -1.186
Na5 0.000 2.120 0.720
Na6 0.000 -2.120 0.720

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.43411.30821.30822.49512.4951
O21.43412.33732.33732.12322.1232
O31.30822.33732.33452.13143.8000
O41.30822.33732.33453.80002.1314
Na52.49512.12322.13143.80004.2398
Na62.49512.12323.80002.13144.2398

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 86.806 C1 O2 Na6 86.806
C1 O3 Na5 89.701 C1 O4 Na6 89.701
O2 C1 O3 116.848 O2 C1 O4 116.848
O2 Na5 O3 66.645 O2 Na6 O4 66.645
O3 C1 O4 126.305 Na5 O2 Na6 173.613
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.673      
2 O -0.584      
3 O -0.536      
4 O -0.536      
5 Na 0.491      
6 Na 0.491      


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 6.960 6.960
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.157 0.000 0.000
y 0.000 -8.580 0.000
z 0.000 0.000 -40.120
Traceless
 xyz
x -8.807 0.000 0.000
y 0.000 28.058 0.000
z 0.000 0.000 -19.251
Polar
3z2-r2-38.502
x2-y2-24.577
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.348 0.000 0.000
y 0.000 13.986 0.000
z 0.000 0.000 7.918


<r2> (average value of r2) Å2
<r2> 179.393
(<r2>)1/2 13.394