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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-587.892713
Energy at 298.15K-587.895394
HF Energy-587.892713
Nuclear repulsion energy253.136106
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 1183 1167 412.34      
2 A1 881 869 111.47      
3 A1 640 631 0.14      
4 A1 337 332 31.87      
5 A1 200 197 19.02      
6 A2 111 109 0.00      
7 B1 741 731 13.10      
8 B1 112 111 56.53      
9 B2 1491 1470 581.25      
10 B2 681 672 3.00      
11 B2 372 367 85.00      
12 B2 347 342 16.95      

Unscaled Zero Point Vibrational Energy (zpe) 3547.7 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 3498.8 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 PBEPBE/6-31G
ABC
0.19875 0.06521 0.04910

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 -0.590
O2 0.000 0.000 0.819
O3 0.000 1.163 -1.192
O4 0.000 -1.163 -1.192
Na5 0.000 2.164 0.730
Na6 0.000 -2.164 0.730

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.40841.30981.30982.53432.5343
O21.40842.32282.32282.16542.1654
O31.30982.32282.32632.16663.8420
O41.30982.32282.32633.84202.1666
Na52.53432.16542.16663.84204.3272
Na62.53432.16543.84202.16664.3272

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 87.650 C1 O2 Na6 87.650
C1 O3 Na5 90.128 C1 O4 Na6 90.128
O2 C1 O3 117.373 O2 C1 O4 117.373
O2 Na5 O3 64.850 O2 Na6 O4 64.850
O3 C1 O4 125.254 Na5 O2 Na6 175.299
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 0.546      
2 O -0.707      
3 O -0.569      
4 O -0.569      
5 Na 0.650      
6 Na 0.650      


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 8.075 8.075
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.072 0.000 0.000
y 0.000 -4.202 0.000
z 0.000 0.000 -39.685
Traceless
 xyz
x -10.128 0.000 0.000
y 0.000 31.677 0.000
z 0.000 0.000 -21.549
Polar
3z2-r2-43.097
x2-y2-27.870
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.687 0.000 0.000
y 0.000 11.467 0.000
z 0.000 0.000 7.046


<r2> (average value of r2) Å2
<r2> 182.348
(<r2>)1/2 13.504