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: PBEPBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-31G*
 hartrees
Energy at 0K-587.976110
Energy at 298.15K-587.978868
HF Energy-587.976110
Nuclear repulsion energy256.235497
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 PBEPBE/6-31G*
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 1271 1252 444.99      
2 A1 949 936 97.09      
3 A1 670 661 1.32      
4 A1 343 338 32.44      
5 A1 208 205 18.64      
6 A2 110 108 0.00      
7 B1 796 785 9.94      
8 B1 99 97 48.65      
9 B2 1539 1517 677.32      
10 B2 710 700 2.42      
11 B2 378 373 51.57      
12 B2 365 360 54.33      

Unscaled Zero Point Vibrational Energy (zpe) 3718.3 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 3665.2 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 PBEPBE/6-31G*
ABC
0.20643 0.06602 0.05002

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.564
O2 0.000 0.000 0.808
O3 0.000 1.137 -1.173
O4 0.000 -1.137 -1.173
Na5 0.000 2.157 0.713
Na6 0.000 -2.157 0.713

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.37251.28961.28962.50722.5072
O21.37252.28432.28432.15942.1594
O31.28962.28432.27372.14473.7961
O41.28962.28432.27373.79612.1447
Na52.50722.15942.14473.79614.3147
Na62.50722.15943.79612.14474.3147

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 87.479 C1 O2 Na6 87.479
C1 O3 Na5 90.241 C1 O4 Na6 90.241
O2 C1 O3 118.172 O2 C1 O4 118.172
O2 Na5 O3 64.108 O2 Na6 O4 64.108
O3 C1 O4 123.657 Na5 O2 Na6 174.959
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.763      
2 O -0.658      
3 O -0.588      
4 O -0.588      
5 Na 0.536      
6 Na 0.536      


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 7.644 7.644
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.833 0.000 0.000
y 0.000 -4.127 0.000
z 0.000 0.000 -38.286
Traceless
 xyz
x -10.626 0.000 0.000
y 0.000 30.932 0.000
z 0.000 0.000 -20.306
Polar
3z2-r2-40.612
x2-y2-27.706
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.137 0.000 0.000
y 0.000 11.206 0.000
z 0.000 0.000 7.068


<r2> (average value of r2) Å2
<r2> 178.876
(<r2>)1/2 13.374