Which is the correct formula of Kapustinskii equation?

Derivation from the Born–Landé equation Kapustinskii originally proposed the following simpler form, which he faulted as “associated with antiquated concepts of the character of repulsion forces”. Here, K’ = 1.079×10−4 J·m·mol−1.

Which equation is an equation for theoretical determination of lattice energy?

The Born–Landé equation is a means of calculating the lattice energy of a crystalline ionic compound. In 1918 Max Born and Alfred Landé proposed that the lattice energy could be derived from the electrostatic potential of the ionic lattice and a repulsive potential energy term.

WHAT IS A in Born Mayer equation?

The Born–Mayer equation is an equation that is used to calculate the lattice energy of a crystalline ionic compound. It is a refinement of the Born–Landé equation by using an improved repulsion term.

How do you find the lattice energy of CsCl?

Estimate the lattice energy using a Born-Haber cycle.

  1. Cs(s) + ½ Cl2(g) → CsCl(s) ΔHf° = –433 kJ/mole.
  2. Cs(s) → Cs(g) S = 79 kJ/mole.
  3. Cs(g) → Cs+(g) + e– IE = 375 kJ/mole.
  4. ½ Cl2(g) → Cl(g) ½BDE = ½×242 = 121 kJ/mole.
  5. Cl(g) + e– → Cl–(g) EA = 349 kJ/mole.
  6. Cs+(g) + Cl–(g) → CsCl(s) Elat

What is born-Haber cycle and its application?

Application of Born – Haber Cycle? Born-Haber cycles are primarily used in calculating the lattice energy which cannot be measured otherwise. The lattice energy is the enthalpy change involved in the formation of ionic solids from gaseous ions or the energy involved in breaking the ionic solids into gaseous ions.

What are the application of Born Lande equation?

The Born-Landé equation is a concept originally formulated in 1918 by the scientists Born and Lande and is used to calculate the lattice energy (measure of the strength of bonds) of a compound. This expression takes into account both the Born interactions as well as the Coulomb attractions.

What is NaCl lattice energy?

The lattice energy of NaCl, for example, is 787.3 kJ/mol, which is only slightly less than the energy given off when natural gas burns. The bond between ions of opposite charge is strongest when the ions are small.

What is the lattice energy of SrO?

Representative lattice energies

Compound Experimental Lattice Energy Structure type
CsI −600 kJ/mol CsCl
MgO −3795 kJ/mol NaCl
CaO −3414 kJ/mol NaCl
SrO −3217 kJ/mol NaCl

What is the lattice energy of CsCl?

The lattice energy of CsCl is 633 kJ/mol.

What is born Haber cycle with example?

Born Haber cycle is a cycle of enthalpy change of process that leads to the formation of a solid crystalline ionic compound from the elemental atoms in their standard state and of the enthalpy of formation of the solid compound such that the net enthalpy becomes zero.

Which is the correct answer to the Kapustinskii equation?

The Kapustinskii equation is: z⁺and z⁻ are the numbers of elementary charge on the cation and anion respectively r⁺ and r⁻ are the ionic radii of the cation and anion respectively in meters This equation gives very accurate values of lattice energy. It can also be used to calculate the ionic radii if lattice energy is known.

How is the lattice energy calculated in Kapustinskii equation?

He thus arrived at a lattice energy formula using an average Madelung constant, corrected to monovalent radii. In the Kapustinskii formula, the lattice energy (kJ/mol) is given by: Here the sum of the monovalent radii is used in place of r o, the bond distance in the Born-Mayer equation.

How did Kapustinskii calculate the Madelung constant M?

Finally, Kapustinskii noted that the Madelung constant, M, was approximately 0.88 times the number of ions in the empirical formula. The derivation of the later form of the Kapustinskii equation followed similar logic, starting from the quantum chemical treatment in which the final term is 1 − d

How is the Kapustinskii equation named after Anatoli Fedorovich?

The Kapustinskii equation calculates the lattice energy UL for an ionic crystal, which is experimentally difficult to determine. It is named after Anatoli Fedorovich Kapustinskii who published the formula in 1956. r+ and r− are the radii of the cation and anion, respectively, in meters.