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

using model chemistry: B3PW91/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-588.353194
Energy at 298.15K-588.356092
HF Energy-588.353194
Nuclear repulsion energy257.353299
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/cc-pVDZ
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 1334 1288 590.66      
2 A1 996 962 109.16      
3 A1 696 672 0.49      
4 A1 347 335 39.55      
5 A1 207 200 21.66      
6 A2 120 116 0.00      
7 B1 847 817 18.70      
8 B1 119 115 54.37      
9 B2 1609 1553 791.32      
10 B2 733 708 6.05      
11 B2 377 363 87.75      
12 B2 365 352 26.08      

Unscaled Zero Point Vibrational Energy (zpe) 3875.1 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 3739.5 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 B3PW91/cc-pVDZ
ABC
0.20951 0.06605 0.05022

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVDZ

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 0.793
O3 0.000 1.129 -1.163
O4 0.000 -1.129 -1.163
Na5 0.000 2.160 0.712
Na6 0.000 -2.160 0.712

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35981.27671.27672.50982.5098
O21.35982.25842.25842.16112.1611
O31.27672.25842.25792.13943.7854
O41.27672.25842.25793.78542.1394
Na52.50982.16112.13943.78544.3192
Na62.50982.16113.78542.13944.3192

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 87.849 C1 O2 Na6 87.849
C1 O3 Na5 90.962 C1 O4 Na6 90.962
O2 C1 O3 117.837 O2 C1 O4 117.837
O2 Na5 O3 63.352 O2 Na6 O4 63.352
O3 C1 O4 124.327 Na5 O2 Na6 175.699
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.362      
2 O -0.559      
3 O -0.438      
4 O -0.438      
5 Na 0.537      
6 Na 0.537      


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 8.184 8.184
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.542 0.000 0.000
y 0.000 -1.570 0.000
z 0.000 0.000 -38.178
Traceless
 xyz
x -11.668 0.000 0.000
y 0.000 33.290 0.000
z 0.000 0.000 -21.622
Polar
3z2-r2-43.244
x2-y2-29.972
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.660 0.000 0.000
y 0.000 8.000 0.000
z 0.000 0.000 5.388


<r2> (average value of r2) Å2
<r2> 177.584
(<r2>)1/2 13.326