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All results from a given calculation for Na2CO3 (Sodium Carbonate)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-587.976104
Energy at 298.15K-587.978859
HF Energy-587.976104
Nuclear repulsion energy256.275928
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/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 1270 1249 444.40      
2 A1 949 933 97.71      
3 A1 670 659 1.29      
4 A1 342 337 32.22      
5 A1 206 203 18.90      
6 A2 112 110 0.00      
7 B1 797 783 9.97      
8 B1 98 96 48.64      
9 B2 1539 1514 677.14      
10 B2 709 698 2.42      
11 B2 377 371 57.36      
12 B2 364 358 48.41      

Unscaled Zero Point Vibrational Energy (zpe) 3716.4 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 3655.1 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/6-31G*
ABC
0.20620 0.06610 0.05005

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.565
O2 0.000 0.000 0.808
O3 0.000 1.137 -1.174
O4 0.000 -1.137 -1.174
Na5 0.000 2.156 0.714
Na6 0.000 -2.156 0.714

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.37271.28961.28962.50662.5066
O21.37272.28442.28442.15782.1578
O31.28962.28442.27392.14513.7955
O41.28962.28442.27393.79552.1451
Na52.50662.15782.14513.79554.3116
Na62.50662.15783.79552.14514.3116

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 87.511 C1 O2 Na6 87.511
C1 O3 Na5 90.194 C1 O4 Na6 90.194
O2 C1 O3 118.164 O2 C1 O4 118.164
O2 Na5 O3 64.132 O2 Na6 O4 64.132
O3 C1 O4 123.672 Na5 O2 Na6 175.022
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.763      
2 O -0.659      
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 7.651 7.651
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.832 0.000 0.000
y 0.000 -4.178 0.000
z 0.000 0.000 -38.276
Traceless
 xyz
x -10.605 0.000 0.000
y 0.000 30.876 0.000
z 0.000 0.000 -20.271
Polar
3z2-r2-40.543
x2-y2-27.654
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.136 0.000 0.000
y 0.000 11.191 0.000
z 0.000 0.000 7.068


<r2> (average value of r2) Å2
<r2> 178.783
(<r2>)1/2 13.371