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This article will provide you with study notes on Tunnelling, which comes under the Physical Chemistry section of the Chemical Science syllabus, with a detailed video explanation. Our experienced subject-matter experts have meticulously designed this set of short notes on the Tunnelling to give you the most standard set of study materials to be focused upon. In this cut-throat competitive world, students need to prepare themselves with the best study materials to help them learn and for their future. So, here we are offering the best study notes that are reliable and can be used by the students during their preparations for the upcoming CSIR-NET 2021 exam.
Study Notes on Tunnelling
Tunnelling is a quantum mechanical phenomenon that takes place when a particle penetrates through a potential energy barrier. Thus, it is also known as barrier penetration.
1. Potential Barrier Problem with Infinite Width-
2. Potential Barrier Problem with Finite Width-
3. Potential Barrier with Infinite Width-
Consider a free particle with energy E; mass m collides having height V and infinite width at x = 0.
Here, the A function represents the movement of particles along positive x-direction in the I region, while the B function represents the movement of particles along negative x-direction.
Schrodinger Equation Corresponding to the movement of a Particle in II region is:
To find the relation b/w A,B & C apply boundary condition at x = 0,
4. Potential Barrier Problem with finite width:
Let us consider a free particle of mass m, energy E, collides with pot. barrier of height V (o < c < L) as
On applying the boundary condition and solve the resultant equation by performing a lot of algebra, we get the expression of Tunnelling / T as:
Video Explanation of Tunnelling:
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Quiz on Tunnelling:
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