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

using model chemistry: B3LYPultrafine/aug-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 B3LYPultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-588.570188
Energy at 298.15K-588.573035
HF Energy-588.570188
Nuclear repulsion energy256.756354
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 B3LYPultrafine/aug-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 1300 1261 568.66      
2 A1 982 953 99.67      
3 A1 693 672 0.23      
4 A1 345 335 50.52      
5 A1 201 196 24.81      
6 A2 114 111 0.00      
7 B1 842 817 14.15      
8 B1 109 106 53.20      
9 B2 1543 1497 736.04      
10 B2 726 704 5.37      
11 B2 370 359 108.43      
12 B2 361 351 5.55      

Unscaled Zero Point Vibrational Energy (zpe) 3793.4 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 3681.1 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 B3LYPultrafine/aug-cc-pVDZ
ABC
0.21000 0.06552 0.04994

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.561
O2 0.000 0.000 0.797
O3 0.000 1.132 -1.163
O4 0.000 -1.132 -1.163
Na5 0.000 2.169 0.709
Na6 0.000 -2.169 0.709

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35851.28161.28162.51362.5136
O21.35852.26302.26302.17072.1707
O31.28162.26302.26372.13973.7945
O41.28162.26302.26373.79452.1397
Na52.51362.17072.13973.79454.3379
Na62.51362.17073.79452.13974.3379

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 87.673 C1 O2 Na6 87.673
C1 O3 Na5 91.016 C1 O4 Na6 91.016
O2 C1 O3 117.977 O2 C1 O4 117.977
O2 Na5 O3 63.334 O2 Na6 O4 63.334
O3 C1 O4 124.046 Na5 O2 Na6 175.347
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.905      
2 O -1.054      
3 O -0.694      
4 O -0.694      
5 Na 0.769      
6 Na 0.769      


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 8.466 8.466
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.100 0.000 0.000
y 0.000 -1.898 0.000
z 0.000 0.000 -39.267
Traceless
 xyz
x -11.518 0.000 0.000
y 0.000 33.785 0.000
z 0.000 0.000 -22.268
Polar
3z2-r2-44.535
x2-y2-30.202
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.700 0.000 0.000
y 0.000 8.350 0.000
z 0.000 0.000 6.842


<r2> (average value of r2) Å2
<r2> 178.903
(<r2>)1/2 13.375