Explanation
$$\Delta_{ sys }G = \Delta_{ sys }H - T\Delta_{ sys }S$$
$$\Delta_{ sys }G < 0 (spontaneous)$$$$\Delta_{ sys }G = 0 (equilibrium)$$$$\Delta_{ sys }G > 0 (non-spontaneous)$$
It is a series of steps (chemical processes) used to calculate the lattice energy of ionic solids, which is difficult to determine experimentally. You can think of BH cycle as a special case of Hess's law which states that the overall energy change in a chemical process can be calculated by breaking down the process into several steps and adding the energy change from each step.
$$({ \Delta H }_{ f })_{ KH }$$ = -$$\frac { 124 }{ 2 } \Rightarrow $$ 62 kJ/mole.
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