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: PBE1PBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/STO-3G
 hartrees
Energy at 0K-580.400076
Energy at 298.15K-580.403420
HF Energy-580.400076
Nuclear repulsion energy267.284954
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 PBE1PBE/STO-3G
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 1428 1260 219.51      
2 A1 1000 882 20.90      
3 A1 785 692 15.26      
4 A1 487 429 26.30      
5 A1 368 325 14.19      
6 A2 152 134 0.00      
7 B1 711 627 25.00      
8 B1 128 113 46.53      
9 B2 1716 1513 354.14      
10 B2 919 810 61.57      
11 B2 636 561 1.50      
12 B2 505 445 78.16      

Unscaled Zero Point Vibrational Energy (zpe) 4416.3 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 3895.6 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 PBE1PBE/STO-3G
ABC
0.21775 0.07659 0.05666

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.549
O2 0.000 0.000 0.858
O3 0.000 1.185 -1.140
O4 0.000 -1.185 -1.140
Na5 0.000 1.952 0.667
Na6 0.000 -1.952 0.667

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.40671.32461.32462.29962.2996
O21.40672.32322.32321.96121.9612
O31.32462.32322.37061.96313.6205
O41.32462.32322.37063.62051.9631
Na52.29961.96121.96313.62053.9037
Na62.29961.96123.62051.96313.9037

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 84.415 C1 O2 Na6 84.415
C1 O3 Na5 86.470 C1 O4 Na6 86.470
O2 C1 O3 116.514 O2 C1 O4 116.514
O2 Na5 O3 72.601 O2 Na6 O4 72.601
O3 C1 O4 126.971 Na5 O2 Na6 168.830
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.123      
2 O -0.473      
3 O -0.409      
4 O -0.409      
5 Na 0.585      
6 Na 0.585      


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 6.957 6.957
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.123 0.000 0.000
y 0.000 -6.814 0.000
z 0.000 0.000 -31.740
Traceless
 xyz
x -6.846 0.000 0.000
y 0.000 22.118 0.000
z 0.000 0.000 -15.272
Polar
3z2-r2-30.543
x2-y2-19.309
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.758 0.000 0.000
y 0.000 4.624 0.000
z 0.000 0.000 2.526


<r2> (average value of r2) Å2
<r2> 158.044
(<r2>)1/2 12.572