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

using model chemistry: M06-2X/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
1 2 no CS 1A'

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-936.487151
Energy at 298.15K-936.489070
HF Energy-936.487151
Nuclear repulsion energy226.676445
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 M06-2X/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 1800 1705 492.69      
2 A1 913 865 93.65      
3 A1 729 690 13.80      
4 A1 454 430 65.33      
5 B1 811 768 25.63      
6 B1 130 123 35.02      
7 B2 996 943 530.37      
8 B2 671 636 0.49      
9 B2 421 398 6.71      

Unscaled Zero Point Vibrational Energy (zpe) 3462.4 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 3279.6 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 M06-2X/3-21G*
ABC
0.39559 0.08728 0.07150

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -1.094
O2 0.000 0.000 -2.316
Ca3 0.000 0.000 1.500
O4 0.000 1.154 -0.307
O5 0.000 -1.154 -0.307

Atom - Atom Distances (Å)
  C1 O2 Ca3 O4 O5
C11.22252.59411.39671.3967
O21.22253.81662.31692.3169
Ca32.59413.81662.14472.1447
O41.39672.31692.14472.3084
O51.39672.31692.14472.3084

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 124.271
O2 C1 O5 124.271 Ca3 C1 O4 55.729
Ca3 C1 O5 55.729 O4 C1 O5 111.459
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.724      
2 O -0.536      
3 Ca 1.066      
4 O -0.627      
5 O -0.627      


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 15.382 15.382
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.471 0.000 0.000
y 0.000 -45.558 0.000
z 0.000 0.000 -24.337
Traceless
 xyz
x 1.477 0.000 0.000
y 0.000 -16.654 0.000
z 0.000 0.000 15.177
Polar
3z2-r230.354
x2-y212.087
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.710 0.000 0.000
y 0.000 4.684 0.000
z 0.000 0.000 8.590


<r2> (average value of r2) Å2
<r2> 139.465
(<r2>)1/2 11.810

Conformer 2 (CS)

Jump to S1C1
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-936.487151
Energy at 298.15K-936.489068
HF Energy-936.487151
Nuclear repulsion energy226.671979
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 M06-2X/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 A' 1803 1708 493.11      
2 A' 995 943 530.19      
3 A' 913 865 94.11      
4 A' 729 690 13.75      
5 A' 671 635 0.51      
6 A' 454 430 65.31      
7 A' 420 398 6.66      
8 A" 810 768 25.66      
9 A" 130 123 35.01      

Unscaled Zero Point Vibrational Energy (zpe) 3462.3 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 3279.5 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 M06-2X/3-21G*
ABC
0.39545 0.08728 0.07150

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.094 0.000
O2 0.001 2.316 0.000
Ca3 -0.001 -1.500 0.000
O4 -1.154 0.308 0.000
O5 1.155 0.306 0.000

Atom - Atom Distances (Å)
  C1 O2 Ca3 O4 O5
C11.22212.59431.39631.3975
O21.22213.81642.31672.3169
Ca32.59433.81642.14492.1447
O41.39632.31672.14492.3088
O51.39752.31692.14472.3088

picture of Calcium Carbonate state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
O2 C1 Ca3 179.954 O2 C1 O4 124.313
O2 C1 O5 124.230 Ca3 C1 O4 55.733
Ca3 C1 O5 55.724 O4 C1 O5 111.457
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.724      
2 O -0.535      
3 Ca 1.066      
4 O -0.627      
5 O -0.627      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.015 -15.377 0.000 15.377
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.562 0.011 0.000
y 0.011 -24.330 0.000
z 0.000 0.000 -33.472
Traceless
 xyz
x -16.661 0.011 0.000
y 0.011 15.187 0.000
z 0.000 0.000 1.474
Polar
3z2-r22.948
x2-y2-21.232
xy0.011
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.686 0.002 0.000
y 0.002 8.589 -0.000
z 0.000 -0.000 3.715


<r2> (average value of r2) Å2
<r2> 139.464
(<r2>)1/2 11.809