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

using model chemistry: B97D3/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 B97D3/TZVP
 hartrees
Energy at 0K-588.382530
Energy at 298.15K-588.385186
HF Energy-588.382530
Nuclear repulsion energy253.601179
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 B97D3/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 1238 1220 529.52      
2 A1 933 920 138.90      
3 A1 671 661 0.15      
4 A1 316 311 41.99      
5 A1 176 173 26.39      
6 A2 113 112 0.00      
7 B1 810 798 12.53      
8 B1 110 108 58.62      
9 B2 1508 1486 709.86      
10 B2 703 693 1.26      
11 B2 347 342 103.91      
12 B2 324 319 3.84      

Unscaled Zero Point Vibrational Energy (zpe) 3623.6 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 3571.4 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 B97D3/TZVP
ABC
0.20318 0.06364 0.04846

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.581
O2 0.000 0.000 0.789
O3 0.000 1.134 -1.180
O4 0.000 -1.134 -1.180
Na5 0.000 2.206 0.729
Na6 0.000 -2.206 0.729

Atom - Atom Distances (Å)
  C1 O2 O3 O4 Na5 Na6
C11.37071.28171.28172.56612.5661
O21.37072.27192.27192.20692.2069
O31.28172.27192.26702.18963.8467
O41.28172.27192.26703.84672.1896
Na52.56612.20692.18963.84674.4123
Na62.56612.20693.84672.18964.4123

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 88.439 C1 O2 Na6 88.439
C1 O3 Na5 91.507 C1 O4 Na6 91.507
O2 C1 O3 117.825 O2 C1 O4 117.825
O2 Na5 O3 62.228 O2 Na6 O4 62.228
O3 C1 O4 124.350 Na5 O2 Na6 176.879
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.415      
2 O -0.836      
3 O -0.605      
4 O -0.605      
5 Na 0.815      
6 Na 0.815      


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 8.684 8.684
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.781 0.000 0.000
y 0.000 -0.295 0.000
z 0.000 0.000 -39.264
Traceless
 xyz
x -12.001 0.000 0.000
y 0.000 35.227 0.000
z 0.000 0.000 -23.226
Polar
3z2-r2-46.451
x2-y2-31.486
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.971 0.000 0.000
y 0.000 9.455 0.000
z 0.000 0.000 6.503


<r2> (average value of r2) Å2
<r2> 183.460
(<r2>)1/2 13.545