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

using model chemistry: mPW1PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-588.300141
Energy at 298.15K-588.302971
HF Energy-588.300141
Nuclear repulsion energy255.652871
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 mPW1PW91/6-31G
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 1288 1219 514.53      
2 A1 958 907 93.52      
3 A1 677 641 0.53      
4 A1 352 333 42.71      
5 A1 203 192 22.81      
6 A2 116 110 0.00      
7 B1 796 753 33.09      
8 B1 119 113 60.53      
9 B2 1589 1504 665.77      
10 B2 719 680 9.72      
11 B2 382 362 99.90      
12 B2 358 339 9.66      

Unscaled Zero Point Vibrational Energy (zpe) 3778.1 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 3576.3 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 mPW1PW91/6-31G
ABC
0.20427 0.06600 0.04988

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.584
O2 0.000 0.000 0.799
O3 0.000 1.151 -1.175
O4 0.000 -1.151 -1.175
Na5 0.000 2.153 0.723
Na6 0.000 -2.153 0.723

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.38351.29391.29392.51852.5185
O21.38352.28562.28562.15392.1539
O31.29392.28562.30202.14643.8102
O41.29392.28562.30203.81022.1464
Na52.51852.15392.14643.81024.3051
Na62.51852.15393.81022.14644.3051

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 87.973 C1 O2 Na6 87.973
C1 O3 Na5 90.634 C1 O4 Na6 90.634
O2 C1 O3 117.181 O2 C1 O4 117.181
O2 Na5 O3 64.212 O2 Na6 O4 64.212
O3 C1 O4 125.638 Na5 O2 Na6 175.946
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.657      
2 O -0.802      
3 O -0.650      
4 O -0.650      
5 Na 0.722      
6 Na 0.722      


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 8.678 8.678
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.200 0.000 0.000
y 0.000 -2.458 0.000
z 0.000 0.000 -39.343
Traceless
 xyz
x -10.299 0.000 0.000
y 0.000 32.813 0.000
z 0.000 0.000 -22.514
Polar
3z2-r2-45.027
x2-y2-28.742
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.773 0.000 0.000
y 0.000 7.730 0.000
z 0.000 0.000 5.144


<r2> (average value of r2) Å2
<r2> 179.096
(<r2>)1/2 13.383