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: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-588.393570
Energy at 298.15K-588.396454
HF Energy-588.393570
Nuclear repulsion energy257.637684
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 B3PW91/6-311G*
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 1331 1281 555.85      
2 A1 1002 965 103.59      
3 A1 707 680 0.66      
4 A1 351 338 45.14      
5 A1 205 197 22.49      
6 A2 114 110 0.00      
7 B1 856 824 21.66      
8 B1 111 107 54.21      
9 B2 1598 1538 754.68      
10 B2 742 714 6.42      
11 B2 377 363 95.85      
12 B2 371 357 19.28      

Unscaled Zero Point Vibrational Energy (zpe) 3882.4 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 3737.6 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 B3PW91/6-311G*
ABC
0.21000 0.06603 0.05024

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.567
O2 0.000 0.000 0.787
O3 0.000 1.125 -1.161
O4 0.000 -1.125 -1.161
Na5 0.000 2.162 0.713
Na6 0.000 -2.162 0.713

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35351.27221.27222.51202.5120
O21.35352.24962.24962.16292.1629
O31.27222.24962.24912.14233.7832
O41.27222.24962.24913.78322.1423
Na52.51202.16292.14233.78324.3232
Na62.51202.16293.78322.14234.3232

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 88.046 C1 O2 Na6 88.046
C1 O3 Na5 91.075 C1 O4 Na6 91.075
O2 C1 O3 117.877 O2 C1 O4 117.877
O2 Na5 O3 63.002 O2 Na6 O4 63.002
O3 C1 O4 124.246 Na5 O2 Na6 176.091
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.547      
2 O -0.706      
3 O -0.561      
4 O -0.561      
5 Na 0.641      
6 Na 0.641      


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 8.292 8.292
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.062 0.000 0.000
y 0.000 -1.949 0.000
z 0.000 0.000 -38.123
Traceless
 xyz
x -11.026 0.000 0.000
y 0.000 32.643 0.000
z 0.000 0.000 -21.617
Polar
3z2-r2-43.234
x2-y2-29.113
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.409 0.000 0.000
y 0.000 7.821 0.000
z 0.000 0.000 5.305


<r2> (average value of r2) Å2
<r2> 177.490
(<r2>)1/2 13.323