Oxysomes of F0-F1 particles take place on

The correct option/answer is Inner mitochondrial membrane.

Oxysomes, also known as $F_0-F_1$ particles or ATP synthase complexes, are vital structures involved in cellular respiration. Specifically, they play a crucial role in synthesizing ATP (adenosine triphosphate) through oxidative phosphorylation.

Let's break down where these particles are located and why:
1. Mitochondria Structure: A mitochondrion is a double-membrane-bound organelle. It consists of an outer membrane, an intermembrane space, an inner membrane, and the innermost compartment called the matrix.
2. Inner Membrane Folding (Cristae): The inner mitochondrial membrane is highly folded into numerous finger-like projections called cristae. These folds significantly increase the surface area available for chemical reactions.
3. Localization of Oxysomes: The oxysomes ($F_0-F_1$ particles) are studded along the inner mitochondrial membrane, projecting into the mitochondrial matrix. The $F_0$ base is embedded directly within the lipid bilayer of the inner membrane, while the spherical $F_1$ headpiece projects into the matrix where ATP synthesis occurs using the proton gradient generated across this inner membrane.

Therefore, oxysomes of $F_0-F_1$ particles are located on the Inner mitochondrial membrane.