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All results from a given calculation for CaCO3 (Calcium Carbonate)

using model chemistry: PBEPBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-940.882818
Energy at 298.15K 
Nuclear repulsion energy226.107475
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 PBEPBE/6-31+G**
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 1667 1648 469.31      
2 A1 905 895 67.03      
3 A1 709 701 4.01      
4 A1 415 410 67.70      
5 B1 768 759 4.69      
6 B1 99 98 22.96      
7 B2 796 787 254.11      
8 B2 464 459 60.57      
9 B2 423i 418i 102.09      

Unscaled Zero Point Vibrational Energy (zpe) 2700.0 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 2669.2 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 PBEPBE/6-31+G**
ABC
0.39667 0.08644 0.07097

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -1.082
O2 0.000 0.000 -2.314
Ca3 0.000 0.000 1.516
O4 0.000 1.153 -0.332
O5 0.000 -1.153 -0.332

Atom - Atom Distances (Å)
  C1 O2 Ca3 O4 O5
C11.23242.59741.37501.3750
O21.23243.82972.29292.2929
Ca32.59743.82972.17772.1777
O41.37502.29292.17772.3052
O51.37502.29292.17772.3052

picture of Calcium Carbonate state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
O2 C1 Ca3 180.000 O2 C1 O4 123.044
O2 C1 O5 123.044 Ca3 C1 O4 56.956
Ca3 C1 O5 56.956 O4 C1 O5 113.912
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.516      
2 O -0.525      
3 Ca 1.299      
4 O -0.645      
5 O -0.645      


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 15.175 15.175
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.617 0.000 0.000
y 0.000 -44.854 0.000
z 0.000 0.000 -28.436
Traceless
 xyz
x 3.028 0.000 0.000
y 0.000 -13.828 0.000
z 0.000 0.000 10.799
Polar
3z2-r221.599
x2-y211.237
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.288 0.000 0.000
y 0.000 7.768 0.000
z 0.000 0.000 15.573


<r2> (average value of r2) Å2
<r2> 141.082
(<r2>)1/2 11.878