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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-588.022227
Energy at 298.15K-588.025012
HF Energy-588.022227
Nuclear repulsion energy255.450877
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 PBEPBEultrafine/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 1250 1243 481.53      
2 A1 933 928 118.36      
3 A1 663 659 0.30      
4 A1 336 334 30.54      
5 A1 203 202 18.89      
6 A2 118 117 0.00      
7 B1 796 791 8.18      
8 B1 114 114 51.05      
9 B2 1529 1520 725.91      
10 B2 701 697 2.73      
11 B2 370 368 74.03      
12 B2 354 352 31.05      

Unscaled Zero Point Vibrational Energy (zpe) 3683.4 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 3662.0 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 PBEPBEultrafine/cc-pVDZ
ABC
0.20504 0.06552 0.04965

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.571
O2 0.000 0.000 0.807
O3 0.000 1.139 -1.176
O4 0.000 -1.139 -1.176
Na5 0.000 2.166 0.718
Na6 0.000 -2.166 0.718

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.37801.28931.28932.52092.5209
O21.37802.28632.28632.16832.1683
O31.28932.28632.27772.15433.8092
O41.28932.28632.27773.80922.1543
Na52.52092.16832.15433.80924.3329
Na62.52092.16833.80922.15434.3329

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 87.648 C1 O2 Na6 87.648
C1 O3 Na5 90.532 C1 O4 Na6 90.532
O2 C1 O3 117.956 O2 C1 O4 117.956
O2 Na5 O3 63.863 O2 Na6 O4 63.863
O3 C1 O4 124.087 Na5 O2 Na6 175.296
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.300      
2 O -0.484      
3 O -0.375      
4 O -0.375      
5 Na 0.467      
6 Na 0.467      


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 7.697 7.697
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.367 0.000 0.000
y 0.000 -3.321 0.000
z 0.000 0.000 -38.640
Traceless
 xyz
x -11.386 0.000 0.000
y 0.000 32.182 0.000
z 0.000 0.000 -20.796
Polar
3z2-r2-41.592
x2-y2-29.045
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.327 0.000 0.000
y 0.000 10.986 0.000
z 0.000 0.000 7.004


<r2> (average value of r2) Å2
<r2> 180.099
(<r2>)1/2 13.420