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: PBEPBEultrafine/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-588.045836
Energy at 298.15K-588.048576
HF Energy-588.045836
Nuclear repulsion energy255.049512
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 PBEPBEultrafine/aug-cc-pVDZ
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 1248 1241 507.99      
2 A1 942 936 99.17      
3 A1 665 661 0.25      
4 A1 333 331 44.93      
5 A1 198 196 23.40      
6 A2 110 109 0.00      
7 B1 802 797 6.41      
8 B1 105 105 51.97      
9 B2 1493 1484 671.39      
10 B2 698 693 3.05      
11 B2 359 357 108.37      
12 B2 351 349 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 3651.9 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 3629.6 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 PBEPBEultrafine/aug-cc-pVDZ
ABC
0.20656 0.06486 0.04936

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

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 0.807
O3 0.000 1.139 -1.173
O4 0.000 -1.139 -1.173
Na5 0.000 2.179 0.713
Na6 0.000 -2.179 0.713

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.37031.29201.29202.52572.5257
O21.37032.28442.28442.18142.1814
O31.29202.28442.27812.15413.8171
O41.29202.28442.27813.81712.1541
Na52.52572.18142.15413.81714.3588
Na62.52572.18143.81712.15414.3588

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 87.534 C1 O2 Na6 87.534
C1 O3 Na5 90.717 C1 O4 Na6 90.717
O2 C1 O3 118.163 O2 C1 O4 118.163
O2 Na5 O3 63.587 O2 Na6 O4 63.587
O3 C1 O4 123.675 Na5 O2 Na6 175.067
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.907      
2 O -1.072      
3 O -0.682      
4 O -0.682      
5 Na 0.764      
6 Na 0.764      


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 8.249 8.249
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.539 0.000 0.000
y 0.000 -2.430 0.000
z 0.000 0.000 -39.425
Traceless
 xyz
x -11.612 0.000 0.000
y 0.000 33.552 0.000
z 0.000 0.000 -21.940
Polar
3z2-r2-43.881
x2-y2-30.109
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.234 0.000 0.000
y 0.000 10.222 0.000
z 0.000 0.000 8.021


<r2> (average value of r2) Å2
<r2> 181.065
(<r2>)1/2 13.456