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

using model chemistry: HF/daug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HF/daug-cc-pVTZ
 hartrees
Energy at 0K-586.420348
Energy at 298.15K-586.423368
HF Energy-586.420348
Nuclear repulsion energy259.881066
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 HF/daug-cc-pVTZ
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 1484 1342 716.48      
2 A1 1124 1017 73.79      
3 A1 775 701 1.80      
4 A1 359 325 59.07      
5 A1 204 184 29.05      
6 A2 115 104 0.00      
7 B1 977 884 44.20      
8 B1 116 105 53.84      
9 B2 1702 1539 933.71      
10 B2 805 728 10.84      
11 B2 387 350 81.96      
12 B2 375 339 39.83      

Unscaled Zero Point Vibrational Energy (zpe) 4210.2 cm-1
Scaled (by 0.9046) Zero Point Vibrational Energy (zpe) 3808.6 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 HF/daug-cc-pVTZ
ABC
0.21758 0.06597 0.05062

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.555
O2 0.000 0.000 0.764
O3 0.000 1.107 -1.142
O4 0.000 -1.107 -1.142
Na5 0.000 2.169 0.704
Na6 0.000 -2.169 0.704

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.31921.25291.25292.50772.5077
O21.31922.20402.20402.16982.1698
O31.25292.20402.21442.12893.7601
O41.25292.20402.21443.76012.1289
Na52.50772.16982.12893.76014.3379
Na62.50772.16983.76012.12894.3379

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 88.403 C1 O2 Na6 88.403
C1 O3 Na5 92.003 C1 O4 Na6 92.003
O2 C1 O3 117.912 O2 C1 O4 117.912
O2 Na5 O3 61.682 O2 Na6 O4 61.682
O3 C1 O4 124.176 Na5 O2 Na6 176.806
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.815      
2 O -0.508      
3 O -0.882      
4 O -0.882      
5 Na 0.228      
6 Na 0.228      


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 8.965 8.965
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.763 0.000 0.000
y 0.000 0.119 0.000
z 0.000 0.000 -38.329
Traceless
 xyz
x -11.658 0.000 0.000
y 0.000 34.665 0.000
z 0.000 0.000 -23.007
Polar
3z2-r2-46.014
x2-y2-30.882
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.783 0.000 0.000
y 0.000 5.521 0.000
z 0.000 0.000 4.933


<r2> (average value of r2) Å2
<r2> 175.734
(<r2>)1/2 13.256