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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-587.954351
Energy at 298.15K-587.957177
HF Energy-587.954351
Nuclear repulsion energy255.722125
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 1284 1229 509.88      
2 A1 956 914 95.12      
3 A1 676 647 0.58      
4 A1 351 336 41.46      
5 A1 203 194 22.66      
6 A2 116 111 0.00      
7 B1 794 760 31.62      
8 B1 118 112 59.88      
9 B2 1587 1518 657.68      
10 B2 718 687 8.18      
11 B2 383 366 99.58      
12 B2 357 342 9.96      

Unscaled Zero Point Vibrational Energy (zpe) 3771.6 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 3607.9 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
0.20418 0.06610 0.04993

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 -0.584
O2 0.000 0.000 0.800
O3 0.000 1.151 -1.176
O4 0.000 -1.151 -1.176
Na5 0.000 2.151 0.723
Na6 0.000 -2.151 0.723

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.38411.29421.29422.51652.5165
O21.38412.28672.28672.15192.1519
O31.29422.28672.30202.14563.8085
O41.29422.28672.30203.80852.1456
Na52.51652.15192.14563.80854.3011
Na62.51652.15193.80852.14564.3011

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 87.943 C1 O2 Na6 87.943
C1 O3 Na5 90.557 C1 O4 Na6 90.557
O2 C1 O3 117.208 O2 C1 O4 117.208
O2 Na5 O3 64.292 O2 Na6 O4 64.292
O3 C1 O4 125.584 Na5 O2 Na6 175.885
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 0.650      
2 O -0.791      
3 O -0.642      
4 O -0.642      
5 Na 0.712      
6 Na 0.712      


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 8.604 8.604
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.286 0.000 0.000
y 0.000 -2.747 0.000
z 0.000 0.000 -39.348
Traceless
 xyz
x -10.239 0.000 0.000
y 0.000 32.570 0.000
z 0.000 0.000 -22.331
Polar
3z2-r2-44.663
x2-y2-28.539
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.855 0.000 0.000
y 0.000 8.123 0.000
z 0.000 0.000 5.277


<r2> (average value of r2) Å2
<r2> 179.004
(<r2>)1/2 13.379