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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-311G**
 hartrees
Energy at 0K-588.131066
Energy at 298.15K-588.133990
HF Energy-588.131066
Nuclear repulsion energy258.348326
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/6-311G**
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 1347 1293 560.93      
2 A1 1014 974 102.50      
3 A1 712 684 0.97      
4 A1 354 340 44.21      
5 A1 207 199 22.52      
6 A2 116 111 0.00      
7 B1 863 829 22.27      
8 B1 111 106 53.72      
9 B2 1614 1550 763.85      
10 B2 748 718 6.27      
11 B2 382 367 90.47      
12 B2 375 360 23.28      

Unscaled Zero Point Vibrational Energy (zpe) 3920.4 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 3765.1 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/6-311G**
ABC
0.21107 0.06645 0.05054

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.565
O2 0.000 0.000 0.786
O3 0.000 1.122 -1.159
O4 0.000 -1.122 -1.159
Na5 0.000 2.154 0.711
Na6 0.000 -2.154 0.711

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35021.26971.26972.50372.5037
O21.35022.24482.24482.15562.1556
O31.26972.24482.24452.13563.7725
O41.26972.24482.24453.77252.1356
Na52.50372.15562.13563.77254.3087
Na62.50372.15563.77252.13564.3087

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 88.018 C1 O2 Na6 88.018
C1 O3 Na5 91.009 C1 O4 Na6 91.009
O2 C1 O3 117.890 O2 C1 O4 117.890
O2 Na5 O3 63.082 O2 Na6 O4 63.082
O3 C1 O4 124.220 Na5 O2 Na6 176.037
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.548      
2 O -0.701      
3 O -0.558      
4 O -0.558      
5 Na 0.634      
6 Na 0.634      


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 8.228 8.228
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.119 0.000 0.000
y 0.000 -2.353 0.000
z 0.000 0.000 -38.130
Traceless
 xyz
x -10.878 0.000 0.000
y 0.000 32.271 0.000
z 0.000 0.000 -21.393
Polar
3z2-r2-42.787
x2-y2-28.766
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 7.858 0.000
z 0.000 0.000 5.297


<r2> (average value of r2) Å2
<r2> 176.614
(<r2>)1/2 13.290