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

using model chemistry: LSDA/6-31G**

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/6-31G**
 hartrees
Energy at 0K-585.920512
Energy at 298.15K-585.923423
HF Energy-585.920512
Nuclear repulsion energy260.635448
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/6-31G**
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 1342 1317 478.06      
2 A1 998 980 86.53      
3 A1 691 678 2.85      
4 A1 359 352 34.51      
5 A1 222 218 19.31      
6 A2 116 114 0.00      
7 B1 819 803 12.99      
8 B1 104 102 49.09      
9 B2 1619 1589 669.97      
10 B2 734 721 4.96      
11 B2 398 391 34.63      
12 B2 382 375 70.26      

Unscaled Zero Point Vibrational Energy (zpe) 3891.7 cm-1
Scaled (by 0.9813) Zero Point Vibrational Energy (zpe) 3818.9 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/6-31G**
ABC
0.21314 0.06868 0.05194

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.554
O2 0.000 0.000 0.800
O3 0.000 1.126 -1.155
O4 0.000 -1.126 -1.155
Na5 0.000 2.111 0.700
Na6 0.000 -2.111 0.700

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.35401.27601.27602.45572.4557
O21.35402.25542.25542.11332.1133
O31.27602.25542.25202.10023.7308
O41.27602.25542.25203.73082.1002
Na52.45572.11332.10023.73084.2220
Na62.45572.11333.73082.10024.2220

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 87.305 C1 O2 Na6 87.305
C1 O3 Na5 89.910 C1 O4 Na6 89.910
O2 C1 O3 118.060 O2 C1 O4 118.060
O2 Na5 O3 64.725 O2 Na6 O4 64.725
O3 C1 O4 123.881 Na5 O2 Na6 174.610
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.699      
2 O -0.634      
3 O -0.560      
4 O -0.560      
5 Na 0.528      
6 Na 0.528      


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 7.644 7.644
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.626 0.000 0.000
y 0.000 -4.902 0.000
z 0.000 0.000 -37.964
Traceless
 xyz
x -10.193 0.000 0.000
y 0.000 29.893 0.000
z 0.000 0.000 -19.699
Polar
3z2-r2-39.399
x2-y2-26.724
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.852 0.000 0.000
y 0.000 9.625 0.000
z 0.000 0.000 6.236


<r2> (average value of r2) Å2
<r2> 172.909
(<r2>)1/2 13.150