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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-584.850465
Energy at 298.15K-584.853307
HF Energy-584.850465
Nuclear repulsion energy257.944515
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 B3PW91/3-21G
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 1231 1183 454.59      
2 A1 922 886 117.49      
3 A1 676 650 0.26      
4 A1 353 339 34.52      
5 A1 214 205 18.59      
6 A2 120 115 0.00      
7 B1 795 764 27.31      
8 B1 110 106 56.18      
9 B2 1569 1508 657.57      
10 B2 711 683 5.77      
11 B2 387 372 70.99      
12 B2 364 350 28.43      

Unscaled Zero Point Vibrational Energy (zpe) 3725.3 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 3580.8 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 B3PW91/3-21G
ABC
0.20624 0.06813 0.05121

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.583
O2 0.000 0.000 0.814
O3 0.000 1.153 -1.169
O4 0.000 -1.153 -1.169
Na5 0.000 2.111 0.713
Na6 0.000 -2.111 0.713

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.39761.29281.29282.47742.4774
O21.39762.29352.29352.11352.1135
O31.29282.29352.30552.11173.7674
O41.29282.29352.30553.76742.1117
Na52.47742.11352.11173.76744.2222
Na62.47742.11353.76742.11174.2222

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 87.259 C1 O2 Na6 87.259
C1 O3 Na5 90.073 C1 O4 Na6 90.073
O2 C1 O3 116.917 O2 C1 O4 116.917
O2 Na5 O3 65.751 O2 Na6 O4 65.751
O3 C1 O4 126.167 Na5 O2 Na6 174.518
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.752      
2 O -0.693      
3 O -0.624      
4 O -0.624      
5 Na 0.595      
6 Na 0.595      


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 7.892 7.892
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.724 0.000 0.000
y 0.000 -5.403 0.000
z 0.000 0.000 -39.133
Traceless
 xyz
x -9.456 0.000 0.000
y 0.000 30.026 0.000
z 0.000 0.000 -20.570
Polar
3z2-r2-41.139
x2-y2-26.322
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.124 0.000 0.000
y 0.000 9.416 0.000
z 0.000 0.000 5.631


<r2> (average value of r2) Å2
<r2> 175.571
(<r2>)1/2 13.250