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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G**
 hartrees
Energy at 0K-588.047704
Energy at 298.15K-588.050607
HF Energy-588.047704
Nuclear repulsion energy258.815260
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 HSEh1PBE/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 1373 1310 548.76      
2 A1 1024 977 88.79      
3 A1 709 676 1.83      
4 A1 355 339 41.33      
5 A1 212 202 21.64      
6 A2 114 109 0.00      
7 B1 856 817 23.32      
8 B1 103 98 51.25      
9 B2 1638 1563 741.81      
10 B2 748 714 5.99      
11 B2 386 369 60.75      
12 B2 377 360 53.19      

Unscaled Zero Point Vibrational Energy (zpe) 3946.9 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 3766.5 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 HSEh1PBE/6-31G**
ABC
0.21180 0.06697 0.05088

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.559
O2 0.000 0.000 0.793
O3 0.000 1.125 -1.158
O4 0.000 -1.125 -1.158
Na5 0.000 2.143 0.706
Na6 0.000 -2.143 0.706

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35121.27451.27452.48882.4888
O21.35122.25152.25152.14512.1451
O31.27452.25152.24982.12413.7625
O41.27452.25152.24983.76252.1241
Na52.48882.14512.12413.76254.2867
Na62.48882.14513.76252.12414.2867

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 87.693 C1 O2 Na6 87.693
C1 O3 Na5 90.610 C1 O4 Na6 90.610
O2 C1 O3 118.042 O2 C1 O4 118.042
O2 Na5 O3 63.656 O2 Na6 O4 63.656
O3 C1 O4 123.917 Na5 O2 Na6 175.386
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.848      
2 O -0.736      
3 O -0.653      
4 O -0.653      
5 Na 0.597      
6 Na 0.597      


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 8.102 8.102
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.070 0.000 0.000
y 0.000 -2.678 0.000
z 0.000 0.000 -37.838
Traceless
 xyz
x -10.812 0.000 0.000
y 0.000 31.776 0.000
z 0.000 0.000 -20.963
Polar
3z2-r2-41.927
x2-y2-28.392
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.428 0.000 0.000
y 0.000 8.065 0.000
z 0.000 0.000 5.383


<r2> (average value of r2) Å2
<r2> 175.538
(<r2>)1/2 13.249