Le bombardement d'atomes d'azote-14 par des particules αpermet d'obtenir de l'oxygène-17 selon l

step 1 Okay, we have 4 to helium plus nitrogen which leads to formation of oxygen along with a hydrogen

Le bombardement d'atomes d'azote-14 par des particules...

Le bombardement d'atomes d'azote-14 par des particules $\alpha$ permet d'obtenir de l'oxygène-17 selon la réaction : $$ { }^{14} \mathrm{~N}+\alpha \rightarrow{ }^{17} \mathrm{O}+\mathrm{p} $$ Quelle doit être la vitesse minimale des particules $\alpha$ pour que cette réaction nucléaire ait lieu? (Les données nécessaires se trouvent dans les annexes C et E).

Le bombardement d'atomes d'azote-14 par des particules $\alpha$ permet d'obtenir de l'oxygène-17 selon la réaction :
$$
{ }^{14} \mathrm{~N}+\alpha \rightarrow{ }^{17} \mathrm{O}+\mathrm{p}
$$

Quelle doit être la vitesse minimale des particules $\alpha$ pour que cette réaction nucléaire ait lieu?
(Les données nécessaires se trouvent dans les annexes C et E).

Key Concepts

Threshold Energy

This concept refers to the minimum kinetic energy that must be imparted to the incoming particle (in this case, an alpha particle) in order for a nuclear reaction to occur. It represents the energy required to overcome various energy barriers, ensuring that the reactants can come sufficiently close to interact and result in a successful reaction.

Coulomb Barrier

The Coulomb barrier is the electrostatic repulsion between two positively charged nuclei. In nuclear reactions involving charged particles, such as an alpha particle colliding with a nitrogen nucleus, the incoming particle must have enough kinetic energy to overcome this repulsive force before the strong nuclear force can take over and allow the reaction to proceed.

Reaction Q-value

The Q-value of a nuclear reaction indicates the net amount of energy released or absorbed during the process. It is a crucial concept because it affects the minimum energy required from the projectile. If the reaction is endothermic (requiring energy input), the projectile must supply not only enough energy to overcome the Coulomb barrier but also an additional amount equal to the Q-value.

Kinetic Energy-Velocity Relationship

This principle relates the kinetic energy of a particle to its velocity, typically expressed by the equation KE = ½mv². It underpins calculations to determine the minimum speed necessary for a projectile to provide sufficient kinetic energy to overcome both the Coulomb barrier and any additional energy requirements as dictated by the reaction’s Q-value.

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