Probability: The Heart of Chemistry
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- Опубликовано: 15 окт 2024
- Chemical reactions happen because they want to maximize entropy, a direct consequence of probability. Here, I'll bring you through the journey of bridging the mathematical world of probability with the realm of chemistry.
WOW! I'm an organic chemist with a hobby of pure math (specifically stuff in topology and Lie theory) and I've never made this connection til now. BRILLIANT explanation and fantastic graphics nonetheless, I'll probably showing this to students and I hope you continue to produce content!
Thank you! I’ve already got a video coming up next week
The connection between the number of states something can be in and its energy is very cool. It can help explain other things too like why valence electrons have more energy than their full shelled counterparts, and why the Higg's field has a seemingly endless supply of energy.
It was said before, but I want to emphasize it again: NEVER use background music with voices in a video where YOUR voice is the only everyone should focus on. I personally have an incredibly hard time focusing on what you say.
... of course incredibly nice video otherwise :D I learned something new
Nice video man! please keep making this kind of stuff. as an chemistry undergrad student who loves math, this video was pure gold!!
Nice video!! I would love to see other connections between mathematics and chemistry! Thank you for sharing this!
I love problems that bridge two allready known things, good video
Interesting topic. But bgr music is too loud. Hard to hear the voiceover. 🙂
the vocals in the background music ard distracting - nice video otherwise tho :) a bit too fast tho, 15-20mins with more steps would have been appropriate :)
Thanks! Noted
I agree; speaking as someone with degrees in both math and chemistry, I was VERY excited when I saw this video. And while your had some AMAZING insights that is usually taught/implied in a physical chemistry class, I think this video should’ve been split up into multiple longer videos.
Each video could’ve been a step in your connection from math to chemistry, with maybe a summary video to tie it all together at the end of the playlist. Multiple, longer videos would’ve allowed you to go at a slower pace (both in your cadence and in regards to the on-screen graphics) for a better dialogue. Even with my previous knowledge, I had to pause and rewind a few times just to catch everything between the algebraic manipulations and what you were actually saying.
I hope that wasn’t too harsh a criticism; I did learn some things and saw/discovered some interesting connections between my two favorite sciences, but I just hope you continue making videos, and they could reach more people with less technical knowledge! Keep it up!
@@morgangraley1049 thanks for the comments!
I am just saying this is good and "well done". Right now nothing else to add.
Hey! This is an excellent video. I knew something beforehand since I saw a video from KhanAcademy where they derivated the equillibrium constant from bare probabilities.
But never saw the general case, which is this video. I'm neither a math expert, nor chemistry, but have an interest in such themes.
I understand Permutations and Combinations, their formulas and how to derive them. Yet, I quite don't understand how you infered the formula for the arrangements of the molecules.
I don't understand what do you mean by "arranging them". Do you mean a Combination with no repeats? More specifically, why do you do 7!, shouldn't you do (number of energy levels to choose from)! ?
It seems I quite don't get the intuition. Keep in mind I'm no math student, as I said, I'm just interested in the topic.
Do you have some sort of paper or short reference from which you made the content of the video? Or something that explains it in a more precise way? (For newbies, ofc)
I hope this doesn't bother you much. Anyways, AMAZING video!!! I loved it.
Oh, btw, I am a med student and also I love maths. Sometimes I quite don't get some engineering concepts you talk about in your recent videos (ex. PID controller). But I love the way you explain biological processes via math.
These are some things I also discovered while studying cellular biology and I love seeing someone else sharing that knowledge. It's quite unfortunate that applied maths, statistics and probability isn't usually taught at any science related to healthcare, unless it's a very specific chemistry/molecular topic.
Contrary to the popular opinion, I think such concepts, specifically probability and statistics should be taught at such careers. As it would shift the overall health professional's mindset from "personal experience-based medicine" to "evidence/proof-based medicine". And also, widen the knowledge we have about a lot of physiological processes, in a more accurate way. More importantly, those related to neurophysiology. I think statistics and probabilities is the most appropiate way to study the human body in such topics.
I mean, not every medical professional has the mathematical intuition behind how, for example, signaling and transduction works in cells, rather than the basic "the molecule and the receptor form a molecular complex, and then it's just a cascade of phosforilations". And thats a serious error, since some pathologies are related to failures in the integration of certain signals/stimuli.
Whatever, I've gone far too long. Thanks for this amazing video! If you have a paper or anything closely related your video, I'd be very grateful.
Sorry if my english is bad. It's not my first languaje.
Great video man!, as an undergrad chemist I would love to know where I can learn more abt this, even the applications of the lagrange
You should read the textbook molecular driving forces, amazing intro to statistical mechanics with applications in chemistry
Thank you!
very interesting connection!
There is no equilibrium in this particular elimination reaction, because there is no electrophile on the product side, sodium bromide and water are not adding across an alkene. Very cool stuff though.
Wow!
I feel like you missed a key connection at the end there. You started with a discussion purely about entropy, but ΔG isn’t just dependent on entropy. When you added temperature into the mix, you necessarily also added enthalpy, too. That would have been a great time to bring in the definition of free energy that most chemistry students would be more familiar with: ΔG = ΔH - TΔS. And then you could show how the most important equations in kinetics and thermodynamics can be related to each other.
G minimisation is equivalent to maximising entropy of universe. The Delta S you see is only entropy of the system. The Delta H term corresponds to Delta S of the Surrounding. So eveything in there is about entropy.
For reversible process Delta G = 0, Delta S univ =0
For spontaneous process Delta G < 0, Delta S univ > 0
For non spontaneous process Delta G > 0, Delta S univ < 0
amazing content! but please consider using music without vocals its distracting
Yes
Please get better audio!!!!!!!!!
Damn your audience is rude as hell. Nice work ⭐️
Thanks! I take the comments as good criticism though. My content isn't perfect and negative feedback helps me improve a lot.
probability is fart of chemistry😁😁😁😄😄🤣🤣🤣🤣
Stop saying “less” when it should be “fewer”. Bad English let’s you down.