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

using model chemistry: LSDA/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at LSDA/TZVP
 hartrees
Energy at 0K-586.045629
Energy at 298.15K-586.048537
HF Energy-586.045629
Nuclear repulsion energy259.319343
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 LSDA/TZVP
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 1313 1298 543.64      
2 A1 988 977 115.75      
3 A1 693 685 0.67      
4 A1 351 346 43.39      
5 A1 207 205 23.71      
6 A2 120 119 0.00      
7 B1 823 813 13.79      
8 B1 121 119 58.50      
9 B2 1590 1572 705.56      
10 B2 734 725 4.76      
11 B2 382 378 72.47      
12 B2 371 367 30.44      

Unscaled Zero Point Vibrational Energy (zpe) 3846.1 cm-1
Scaled (by 0.9884) Zero Point Vibrational Energy (zpe) 3801.4 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 LSDA/TZVP
ABC
0.21201 0.06729 0.05108

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/TZVP

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 0.787
O3 0.000 1.124 -1.156
O4 0.000 -1.124 -1.156
Na5 0.000 2.138 0.708
Na6 0.000 -2.138 0.708

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35251.26951.26952.48842.4884
O21.35252.24432.24432.13912.1391
O31.26952.24432.24802.12173.7567
O41.26952.24432.24803.75672.1217
Na52.48842.13912.12173.75674.2752
Na62.48842.13913.75672.12174.2752

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 87.894 C1 O2 Na6 87.894
C1 O3 Na5 90.840 C1 O4 Na6 90.840
O2 C1 O3 117.698 O2 C1 O4 117.698
O2 Na5 O3 63.569 O2 Na6 O4 63.569
O3 C1 O4 124.605 Na5 O2 Na6 175.787
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.395      
2 O -0.851      
3 O -0.597      
4 O -0.597      
5 Na 0.825      
6 Na 0.825      


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 8.453 8.453
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.990 0.000 0.000
y 0.000 -2.778 0.000
z 0.000 0.000 -39.430
Traceless
 xyz
x -10.886 0.000 0.000
y 0.000 32.932 0.000
z 0.000 0.000 -22.046
Polar
3z2-r2-44.092
x2-y2-29.212
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.777 0.000 0.000
y 0.000 8.494 0.000
z 0.000 0.000 6.044


<r2> (average value of r2) Å2
<r2> 175.468
(<r2>)1/2 13.246