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I'm not an expert teacher or lecturer of chemistry. I was only a student from SMA NEGERI 15 SURABAYA who had been one of the Bronze Medalist Participants of Olimpiade Sains Nasional X (2011) of Chemistry In Manado, North Sulawesi, 11 - 16 September 2011 and graduated in 2012. Now, I'm studying at Universitas Airlangga in Surabaya, Indonesia. I do love chemistry and I would like to help them who had difficulties in studying chemistry. That's why, please understand me if you found some misconcepts in my entries. Suggestions are always necessary in order to develop this blog. And I'm sorry because my English isn't so well.

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Tuesday, November 06, 2012

Particle Probability in "Particle in a Box"

See the graph as follows:

2| is absolute squared value of wave function in 1 dimension. Wave equation shows us the wave that is produced by a particle in a place (here: box). Wave equation also shows us the position of that particle in a box. So, if you want to search the highest probability of a particle in a box in range of a to b, it also means you have to determine its area by integrate the equation. See the expression as follows:

Where P(a,b) is the probability (in percent) of a particle in a box from range a to b.

Now how to calculate that probability?

First, you have to know the general form of a Wave Equation as follows:

Where L is the length of the area, n is the coordinate of the particle, and x is a variable.

Second, the order is: you have to find the probability of a particle in a box at ground state (n=1) from 1.50 nm until 2.05 nm that has length of 13 nm.

So let the party begin!

Now you have the right equation to calculate the question above!

Thank You

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