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All results from a given calculation for MgCO3 (Magnesium Carbonate)

using model chemistry: PBE1PBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/6-311G**
 hartrees
Energy at 0K-463.568741
Energy at 298.15K-463.570633
HF Energy-463.568741
Nuclear repulsion energy189.465476
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 PBE1PBE/6-311G**
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 1840 1765 429.32      
2 A1 939 901 69.22      
3 A1 831 797 10.11      
4 A1 537 515 82.95      
5 B1 821 788 17.16      
6 B1 163 156 43.87      
7 B2 1040 997 562.07      
8 B2 688 660 0.35      
9 B2 491 471 0.76      

Unscaled Zero Point Vibrational Energy (zpe) 3674.8 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 3525.6 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 PBE1PBE/6-311G**
ABC
0.41063 0.13952 0.10414

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.703
O2 0.000 0.000 -1.902
Mg3 0.000 0.000 1.541
O4 0.000 1.133 0.059
O5 0.000 -1.133 0.059

Atom - Atom Distances (Å)
  C1 O2 Mg3 O4 O5
C11.19972.24301.36511.3651
O21.19973.44272.26502.2650
Mg32.24303.44271.86491.8649
O41.36512.26501.86492.2657
O51.36512.26501.86492.2657

picture of Magnesium Carbonate state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O4 Mg3 86.509 C1 O5 Mg3 86.509
O2 C1 O4 123.915 O2 C1 O5 123.915
O4 C1 O5 112.170 O4 Mg3 O5 74.812
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.571      
2 O -0.375      
3 Mg 0.919      
4 O -0.557      
5 O -0.557      


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 11.568 11.568
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.141 0.000 0.000
y 0.000 -36.975 0.000
z 0.000 0.000 -16.474
Traceless
 xyz
x -0.417 0.000 0.000
y 0.000 -15.167 0.000
z 0.000 0.000 15.584
Polar
3z2-r231.168
x2-y29.834
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.300 0.000 0.000
y 0.000 4.097 0.000
z 0.000 0.000 8.728


<r2> (average value of r2) Å2
<r2> 97.753
(<r2>)1/2 9.887