Quantum Chemistry 3.7 - Particle in a Box Wavefunction Plots

[@PunmasterSTP]

I was blown away at how amazing the visuals and explanation were, and though this video already has 35,000 views (as of September 2022), it needs way, way more!

[@sr3klsxcfviou]

You are the greatest!

[@markovdecisionprocess]

All the effort you put into your videos is greatly appreciated!

[@TMPChem]

Thanks for making use of them Stephen.

[@jacobvandijk6525]

I couldn't agree more with you.

[@ethan073]

Awesome visual. I watched your other videos on this topic and you did a fantastic job at explaining things clearly and in detail. Thank you!

[@TMPChem]

Thanks Ethan. That's the goal.

[@simrannahar8262]

these are some amazingly well constructed videos, thank you so much!

[@gracedemalona9197]

What a great illustration of the effect of changing the different values! A really helpful tool, when trying to understand PIB! Thanks for this and all the other videos on quantum chemistry! Thanks to you, I learn and understand more and not the least - I passed my quantum chemistry-exam:-)

[@TMPChem]

Glad to help out, Grace. Keep up the good work.

[@vijgenboom2843]

Great video! Many thanks. God bless you!

[@dineshthakare4579]

I'm extremely happy seeing this lecture.....

[@TMPChem]

I'm happy that you're happy.

[@dineshthakare4579]

TMP Chem 😂😂😂😂

[@raquellima132]

This video is really great! Thank you very much!

[@TMPChem]

Thanks for watching, Raquel.

[@SampleroftheMultiverse]

I agree, very well done and informative! My process does not work when the probability density height is greater than one half of the wave length. Wondering how this translate into the quantum level. The graph of the energy to translate thru the energy levels I find interesting. I will send a copy of the test paper or view it on my channel. Anyone interested in seeing it.

[@alimo166]

Dear sir thanks a lot for your generous explanation, I really enjoy it. I have a misunderstanding and appreciate if you could shed a light. According to this video, the smaller box length (more confinement) is analogous to smaller wavelength. Am I right? If I am right, then a particle in a box must have small wavelength to be treated as a quantum particle. But, on the other hand, according to De Broglie, the wavelength for subatomic particles is much larger than that of classical objects. Therefore, I am a bit confused here, why a De Broglie particle has a large wavelength while a particle in a box has small one? Thanks a lot sir

[@giovana5010]

Hello! Your videos are awesome, very clean and simple! Something that I didn't understand is the change in the value of the Planck's constant. In which cases we'll do this if always we consider h as the same value of 6.626×10^-34 m²kg/s?

[@TMPChem]

Thanks, Giovana. I changed the value of Planck's constant so that the energy and the wavefunction can be conveniently plotted on the same y-axis. It doesn't have any physical interpretation, as the value of Planck's constant is always, well, constant. The range of the particle in a box wavefunctions are from -sqrt(2/L) to +sqrt(2/L). The ground state energy of the particle in a box is h^2 * n^2 / (8 * m * L^2). For an electron in a 1 Angstrom box, this gives a wavefunction range of ~10^-5, while the ground state energy is ~10^-18 (10 trillion times smaller). It's much more convenient to choose a y-axis scale for energy so that we can clearly see the energy of the first few states. "Choosing" a different value for h in this case is equivalent to changing the scale of the y-axis to fit both graphs in the same plotting area.

[@theodorehh3529]

Enjoyed your videos. Helped me understand Atkins better! Just out of curiosity, do you happen to specialise in computational/theoretical chemistry?

[@vladimirramos9793]

He has a playlist now

[@kitymaurya3102]

Sir pls make more videos on quantum chemistry...specially on perbutation theory

[@TMPChem]

More quantum chemistry videos are on the way. They will be additions to the Computational Chemistry playlist. Check on the Facebook page for updates on video progress. Current preparing to film ~30 videos on Hartree Fock theory.

[@TherealLaserdog]

Wow