The Basic Math that Explains Why Atoms are Arranged Like They Are: Pauli Exclusion Principle

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Parth G

Parth G

Күн бұрын

Electrons are arranged in shells around an atomic nucleus. But why is this? Luckily there is is some basic mathematics that can give us a clue...
Hi everyone, in this video I wanted to discuss the basic mathematics of the Pauli Exclusion Principle. This is a fundamental principle of quantum mechanics that explains why electrons are arranged in shells (rather than all falling down into the same / lowest energy level).
To begin with, we need to consider a pair of particles that are indistinguishable. Not just identical in every way (same mass, same charge, etc), but we cannot tell them apart. If we have a system with two particles labelled A and B, some time later we should not be able to tell which is A and which is B.
If such particles exist, then the square modulus of their quantum wave function must be identical whether we find them in the orientation AB or BA. The reason for this is that the square modulus of the quantum wave function is something we can physically measure in real life. And if the value of this quantity changed depending on the orientation of the particles, then they would no longer be indistinguishable. We would be able to tell which orientation they were in.
The square modulus being equal upon "particle exchange" leads to two very simple mathematical conditions for the wave function of our system. One condition is that the wave function must not change as the particles are switched. This is known as a symmetric wave function, and applies to bosons, as discussed in my Bose-Einstein Condensate video. The other condition is that the wave function becomes negative when the particles are switched. This is known as an antisymmetric wave function, and applies to fermions (such as the electrons we will discuss).
For a system containing two or more fermions, we interestingly find that no two fermions can be in the same quantum state. We visualize this in the video with a simple description of a two-level, two-electron system. And this is the Pauli Exclusion Principle!
A particle's quantum state can be described with a series of "quantum numbers". One of them is the principle quantum number (n), referring to which energy level the particle is in. Another is the spin quantum number (m_s), referring to whether the particle is found in the spin up or spin down state.
There are a series of numbers that are needed in order to fully describe the particle's quantum state, and Pauli's Exclusion Principle says that no two particles can have all the same numbers - at least one number must be different.
And this explains why electrons in atoms are arranged in shells where there is a "maximum" number of electrons that can be found in each shell - 2 for the first shell, 8 for the second shell, and so on. If electrons were bosons instead, all of them would fall to the lowest energy level. And this would not be good for the universe as we know it - chemistry would be very different, and therefore biology (and life) as we know it would probably not exist.
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Пікірлер: 175
@ParthGChannel
@ParthGChannel 3 жыл бұрын
Hi everyone, thank you so much for watching and supporting this channel! Please check out my quantum mechanics playlist for more videos like this one: kzfaq.info/sun/PLOlz9q28K2e4Yn2ZqbYI__dYqw5nQ9DST
@kimberlymarkus6387
@kimberlymarkus6387 3 жыл бұрын
Einstein taught us that one experiences time to go slower when one approaches the speed of light. In theory, a photon should not be able to experience time. So are they in one dimension less than us or would they experience another dimension? Sorry if this is stupid 😅
@nickangelos7221
@nickangelos7221 3 жыл бұрын
@@kimberlymarkus6387 great question! physicists tend to think of time as the fourth dimension but that is purely conceptual. Photons (which are bosons) travel at c in empty space independent of time. If we had four spatial dimension (x,y,z,w) then photons would travel through all four of them.
@kimberlymarkus6387
@kimberlymarkus6387 3 жыл бұрын
@@nickangelos7221 thank you ☺️
@SALESENGLISH2020
@SALESENGLISH2020 3 жыл бұрын
Finally all these things are making physical sense. Thanks Parth! I wish millions of high school and college students would watch these videos, think, understand and not be scared of physics. The problem with most textbooks and teachers is that they state "It is so" but do not explain why and why not, what could be an exception and its implication and so on. That's why I always liked people like Wolfgang Pauli. It is said that if he entered a lab, all the experiments would go wrong.
@arvindiyer1649
@arvindiyer1649 3 жыл бұрын
Haha, 1 high school student here
@SALESENGLISH2020
@SALESENGLISH2020 3 жыл бұрын
​@@arvindiyer1649 Good. Even most college students need help. So, I will edit that part now. Thanks. Best wishes.
@lilac2698
@lilac2698 2 жыл бұрын
@@SALESENGLISH2020 I'm another high school student who began high school only a few months back, we've only just begun learning about atoms' structure and molecules, but I ended up learning every single thing all the way till the Pauli's Exclusion principle because I looked at the atomic number of Xenon, and the 2n² rule we were taught (Maximum no. of electrons in a shell where n is the energy level) didn't seem to hold true, and it confused me a lot. This ended up making me find chemistry and quantum mechanics highly interesting, and I binged everything I could understand without insane mathematics and symbols.
@SALESENGLISH2020
@SALESENGLISH2020 2 жыл бұрын
@@lilac2698 Superb! All the best.
@asgovindarajan5597
@asgovindarajan5597 3 жыл бұрын
Parth sir, I really wish teachers like you are invited as the Chief Guests! You deserve all the praise in the world for simplifying physics concepts in an intuitive and joyful way, for literally everyone to learn! Please keep going sir! I'm indebted to you a lot, for learning a ton from you!
@satyamverma101
@satyamverma101 3 жыл бұрын
bro lol thoda zyada ho gaya. bahut makhan laga liya
@asgovindarajan5597
@asgovindarajan5597 3 жыл бұрын
@@satyamverma101 😂😂 theek hai bhaii! But mujhe itne saalo baad pehli baar ek achi physics teacher mil gya hai us khushi mein bool dhiya. 😂😉
@squidly1369
@squidly1369 3 жыл бұрын
@@satyamverma101 makhan kya bro isme ye ek sikhne wale ke dil ki awaaaj hai lol xd ...
@integreat2890
@integreat2890 3 жыл бұрын
Hey Parth, could you make a video on Liouville's theorem?
@ranjitsarkar3126
@ranjitsarkar3126 3 жыл бұрын
That is a maths theorem and this is a physics channel
@integreat2890
@integreat2890 3 жыл бұрын
@@ranjitsarkar3126 Liouville's theorem is also used in Classical Mechanics and it's important for theoretical physicists.
@Eztoez
@Eztoez 2 жыл бұрын
What a thoroughly beautifully explained video. Thank you. I've only ever seen one video before that clearly explains the Pauli Exclusion Principle, but yours is better. You've got the right amount of mathematics in it. Not everyone has Masters degrees in mathematics, as some videos assume, although I'd like to know more about Hamiltonians, Lagrangians, and Fourier Transforms. I don't know if you've done videos on those.
@amreshyadav2758
@amreshyadav2758 3 жыл бұрын
this man have a crystal clear concepts. you beauty, parth legend.
@Threshold.edu1
@Threshold.edu1 3 жыл бұрын
I love your videos. The way you present physical structures are mind-blowing
@bradchun21
@bradchun21 4 ай бұрын
Wow. Clearest explanation I have seen yet on PEP. Thank you!👏👏👏
@gummy425
@gummy425 2 жыл бұрын
Wow wow wow! I enjoyed this video from start to finish. Definitely earned yourself a subscriber
@rakshitverma5016
@rakshitverma5016 2 жыл бұрын
Amazing video. The thought at the end about electrons being fermionic kind of indistinguishable is responsible for life and the universe we see around us is kind of mind-blowing.
@mwafrikahalisi2549
@mwafrikahalisi2549 2 жыл бұрын
Yes, because that's the principle behind the existence of all the elements in the periodic table.
@das250250
@das250250 3 жыл бұрын
A very well presnted video ,as usual. Care taken in the right spots. Beautiful how you attach the mathematical model to explain why the exclision principle exists. What is an interesting thought is that you say if the electron occupies the same spot with another it superimposes into a boson. The thought i have then is , is a boson a superposition (reflection) of fermions superpoitioned
@Tyletoful
@Tyletoful 2 жыл бұрын
Just discovered your channel. I've liked and subscribed. This is a great explanation.
@bradleywalsh4103
@bradleywalsh4103 Жыл бұрын
Loved the video my friend. Simple and to the point. Cheers
@bhaskarmangaraj7527
@bhaskarmangaraj7527 3 жыл бұрын
Your teaching is great ! I wish if you can make some videos dedicated to mathematics like a playlist of tensors or other mathematical topics needed in physics
@pedrogrimaldisemeghinimart759
@pedrogrimaldisemeghinimart759 2 жыл бұрын
That’s an amazing explanation dude, just fantastic!!
@kevinmccarthy8746
@kevinmccarthy8746 3 жыл бұрын
Thank you Parth. Love the shows.
@job2687
@job2687 7 ай бұрын
I had so much trouble with this but you explained it so clearly, thank you!
@mansoorsiddiqui7396
@mansoorsiddiqui7396 10 ай бұрын
As always brilliantly simple!!
@stefaniag4167
@stefaniag4167 3 жыл бұрын
Excellent job!!!!I found recently your channel...I have to admit that i am excited by your effort!!! could you make a video about Dirac's equation ?????
@bragoen
@bragoen 3 жыл бұрын
Hi Parth, as always your videos are very good at giving a grasp to complex prolem. Would you someday make a video on Feynman's diagram and explain for the layman what's so special about them, did they allow for something new or are just a cool doodle trick ? While I can read the wiki page what make them unique or such a contribution has always escaped me.
@divyanshugreninja6692
@divyanshugreninja6692 3 жыл бұрын
Sir , please make videos regarding the vacuum energy and all those related stuffs . I have grown interest in physics on seeing your videos . Keep going sir
@zainkhalid5740
@zainkhalid5740 3 жыл бұрын
just needed this topic!
@henryD9363
@henryD9363 3 жыл бұрын
KZfaq just recommended your excellent channel and I'm very grateful. I've only watched a few videos and intend to continue on. But I have a bit of a quarrel! I will make an assertion regarding electron/fermion spin direction that is very incorrect: There is a direction in the universe such that the spin of any electron is parallel or anti-parallel to this universal (up/down) direction. This direction is a fundamental property of the universe. There's nothing that you have taught us that contradicts this assertion. I believe a lot of your viewers may be learning about spin direction for the first time. Your statement that an electron spin is up, down or both, implies that there are no other directions available. So I would suggest that, since this direction is arbitrary in the sense that it's CHOSEN freely, you should briefly mention this very important fact at the outset. Apologies if you have already covered this topic before. But it's worth a half a sentence to be repeated! Thanks
@minecraftrtx2894
@minecraftrtx2894 2 жыл бұрын
Thanks parth for wonderful content
@huwphillips2696
@huwphillips2696 3 жыл бұрын
Absolutely brilliant video
@neelakandan.v.m2991
@neelakandan.v.m2991 3 жыл бұрын
Excellent explanation.
@Pexl_
@Pexl_ 2 жыл бұрын
lovely video parth keep making more vids like this
@eggyfebrianto4533
@eggyfebrianto4533 2 жыл бұрын
Super duper helpful, thanks a lot 👍
@eriktempelman2097
@eriktempelman2097 3 жыл бұрын
Many, many thanks for this!
@question_mark
@question_mark 3 жыл бұрын
an actualy successful attempt of representation of my feeling : 👌👂👁👄👁👂👌👌 👌💧👌 💧👌 👌 💧👌
@meymeyM7
@meymeyM7 3 жыл бұрын
I feel u lmao
@Katia_777
@Katia_777 9 ай бұрын
Thanks. That was really useful
@drshafqat9291
@drshafqat9291 3 жыл бұрын
Simply superb n fantastic
@deepyaa3392
@deepyaa3392 3 жыл бұрын
Hey Parth ,can you make a video on your favourite Physics books/STEM books in general which don't involve math beyond high school level?
@jacobhaddo1180
@jacobhaddo1180 3 жыл бұрын
I'm not Parth (obviously), but I just started Leonard Susskind's Theoretical Minimum lectures which are very informative and seem to fit what you want
@ethanfreeman9243
@ethanfreeman9243 3 жыл бұрын
Great video as always. Is it possible to make a video on Bell Inequalities please?
@theartofmusic05
@theartofmusic05 3 жыл бұрын
Good explanation Parth 😊
@adamgrimsley2900
@adamgrimsley2900 2 жыл бұрын
This is good, subscribed
@xolisanincubencube4725
@xolisanincubencube4725 11 ай бұрын
Thank sir you nailed it🎉
@heinzriemann3213
@heinzriemann3213 3 жыл бұрын
This channel is going places.
@gokuls7061
@gokuls7061 3 жыл бұрын
HI PARTH, YOUR TEACHING IS AWESOME, APART FROM MY PROFESSORS, I'M LEARNING FROM YOU. KINDLY MAKE VIDEOS ON LINEAR VECTOR SPACE.
@priyanshi6507
@priyanshi6507 3 жыл бұрын
Awesome job bhaiya😬
@A.B.A277
@A.B.A277 7 ай бұрын
I just can say god blesss you, I finally got it with a source
@rukmaninivetha8421
@rukmaninivetha8421 3 жыл бұрын
Wow.... It was awesome 😍
@levinunemaker4365
@levinunemaker4365 2 жыл бұрын
9:38 "Assuming our understanding of QM is at least relatively correct"
@informationparadox387
@informationparadox387 3 жыл бұрын
Well that was kind of BaSiC concept which is not really hard to find...So please can you start these concepts with some mathematics , it would be quite helpful!😌 B/w your videos are always great!
@utkarshpuri3739
@utkarshpuri3739 2 жыл бұрын
favorite channel
@muklpsarma
@muklpsarma 3 жыл бұрын
Proud of you parth...I love to become your student....
@sumansaha552
@sumansaha552 2 жыл бұрын
Thank you❤🙏..
@dantefernandez2455
@dantefernandez2455 3 жыл бұрын
Wonderful video as always! Just a lingering question, Parth. It seems the Pauli-Exclusion principle is just a bit of math that models fermionic behavior quite well, but it doesn't answer how fermions 'know' the state of the other. Why and how do they do that? I feel I am misunderstanding some basic things here because it would appear every particle is just really good at math, lol.
@ARVash
@ARVash 2 жыл бұрын
In my other comment I took a stab at it, I think it's because they take up space. in QM though I think it's because they share a wave function and there's constructive/destructive interference at two points. Kinda like the sand on this sound plate, turn your volume down... kzfaq.info/get/bejne/j8uUmtiTt8DakWw.html
@amirtambe2957
@amirtambe2957 3 жыл бұрын
No frills. Crisp. Liked.
@kimtaiferragamo
@kimtaiferragamo 3 жыл бұрын
THAT WAS AWESOME
@419er
@419er 3 жыл бұрын
Can you please do a video on the pilot-wave interpretation of quantum mechanics and how it differs from the Copenhagen interpretation then share your views on which you think is the correct interpretation. :)
@artberman5825
@artberman5825 3 жыл бұрын
What are the L and M distinguishing factors?
@VSHEGDE1947
@VSHEGDE1947 3 жыл бұрын
L is the azimuthal quantum number which gives the subshell to which the electron belongs, and M is the magnetic quantum number which gives the orbital to which the electron belongs
@mastershooter64
@mastershooter64 3 жыл бұрын
Hye Parth can you please explain Feynman's path integral formulation?
@Rose-ff3fi
@Rose-ff3fi 5 ай бұрын
Thank you
@simonhanson5990
@simonhanson5990 2 жыл бұрын
Am enjoying these videos very much, thank you Parth. Can someone help me understand though that if electrons may have spin up or spin down, or have other different quantum numbers or exist on different energy levels; how is it that we can then say electrons are indistinguishable? I am probably missing some point here but if anyone can clarify this for me that will be appreciated. Cheers
@donegal79
@donegal79 3 жыл бұрын
fantastic
@roshanzehra9827
@roshanzehra9827 3 жыл бұрын
Hi, Parth just saw your video and its amazing , i am 17 years old and very attracted to physics , i am going to be a physicist , if u have any tips for mr please tell me , i take u as my professor . Thanks alot
@MrPlaiedes
@MrPlaiedes 3 жыл бұрын
Subbed!
@sauravyadav4445
@sauravyadav4445 3 ай бұрын
What a explanation
@sagarrawal8332
@sagarrawal8332 3 жыл бұрын
May i know how you make your animation using which softwares. I reaaly liked the demonstration and willing to learn for my presentaion in my physics class for my students
@charmingissam6002
@charmingissam6002 3 жыл бұрын
hey . can you talking about Superconducting Materials
@adamjondo
@adamjondo 3 жыл бұрын
Great Video. But what are L and M @7:50?
@Gleem
@Gleem 3 жыл бұрын
Parth special request from a listener before you hit 10,000k I would really like to know more/for you to cover one of the biggest scary taboo topics in Particle Physics: Aether. On my investigations aether is a concept which most of science is based on, Newtons Gravity/Lorentz-Einstein's Space-time "New Aether"/Maxwells Equations/Paul Dirac's Negative Sea or Hole Theory, all have required the notion that there must be something in the background instead of an absolute void. More recently in the 21st centaury you have the likes of John Bell preferring to use Neo-Lorentzian Relativity over Einsteinian, Leon Lederman and Robert Laughlin publishing books explaining that the Quantum Background is a relativistic aether brought back from Einstein's incorrect removal, where even in letters to Lorentz and his 1938 book both explain he was wrong to remove the concept of aether, he only should have removed the measurable velocity of it, and stated that General Relativity is identical to Neo-Lorentzian Aether and therefore Aether lives on as a concept. There seems to be a lot of miscommunication from science communicators and generic sources on the internet who literally point blank state "Aether was debunked in 1887 with the Michelson-Morley experiment" but reading the original paper and the reactionary fact that Lorentz designed Length Contraction and Time Dilation to avoid removing it completely just because it was undetectable, this seems like a fabrication and MMX only removed a detectable absolute framed aether, not Lorentz' Relativistic Aether. What are your thoughts/knowledge on the topic? Here are some of the cites I mentioned, although every time I ask people of even PhD level, they stutter and I get accused of cherrypicking, so there definitely is ambiguity and lack of knowledge. Yours "lacking-input-and-need-yours", Gleem haha ----------------------------------------------------------------------------- “The aether: Invented by Isaac Newton, reinvented by James Clerk Maxwell. This is the stuff that fills up the empty space of the universe. Discredited and discarded by Einstein, the aether is now making a Nixonian comeback. It’s really the vacuum, but burdened by theoretical, ghostly particles.” Leon Lederman - God Particle: If the Universe Is the Answer, What Is the Question? - 2006 books.google.co.uk/books?id=-v84Bp-LNNIC&pg=PP15&dq=leon+lederman+%22ghostly+particles%22&hl=en&sa=X&ved=2ahUKEwivuN-kvcHsAhVMShUIHZbDDgQQuwUwAnoECAQQCA#v=onepage&q&f=false ----------------------------------------------------------------------------- "....Relativity actually says nothing about the existence or nonexistence of matter pervading the universe, only that any such matter must have relativistic symmetry. [..] It turns out that such matter exists. About the time relativity was becoming accepted, studies of radioactivity began showing that the empty vacuum of space had spectroscopic structure similar to that of ordinary quantum solids and fluids. Subsequent studies with large particle accelerators have now led us to understand that space is more like a piece of window glass than ideal Newtonian emptiness. It is filled with 'stuff' that is normally transparent but can be made visible by hitting it sufficiently hard to knock out a part. The modern concept of the vacuum of space, confirmed every day by experiment, is a relativistic ether. But we do not call it this because it is taboo” Robert B. Laughlin - A Different Universe: Reinventing Physics from the Bottom Down - 2005 archive.org/details/differentunivers00laug/page/120/mode/2up ----------------------------------------------------------------------------- “We can now see that we may very well have an aether, subject to quantum mechanics and conformable to relativity, provided we are willing to consider a perfect vacuum as an idealized state, not attainable in practice. From the experimental point of view there does not seem to be any objection to this. We must make some profound alterations to the theoretical idea of the vacuum. . . . Thus, with the new theory of electrodynamics we are rather forced to have an aether” Paul Dirac “Is there an aether?” 1951 Nature vol. 168, pp. 906-907. www.nature.com/articles/168906a0 ----------------------------------------------------------------------------- “The approach of Einstein differs from that of Lorentz in two major ways. There is a difference of philosophy, and a difference of style. The difference of philosophy is this. Since it is experimentally impossible to say which of two uniformly moving systems is really at rest, Einstein declares the notions 'really resting' and 'really moving' as meaningless. For him only the relative motion of two or more uniformly moving objects is real. Lorentz, on the other hand, preferred the view that there is indeed a state of real rest, defined by the `aether', even though the laws of physics conspire to prevent us identifying it experimentally. The facts of physics do not oblige us to accept one philosophy rather than the other.” John S. Bell - Speakable and unspeakable in Quantum Mechanics - 1988. www.google.co.uk/books/edition/Speakable_and_Unspeakable_in_Quantum_Mec/FGnnHxh2YtQC ----------------------------------------------------------------------------- "I cannot but regard the ether, which can be the seat of an electromagnetic field with its energy and its vibrations, as endowed with a certain degree of substantiality, however different it may be from all ordinary matter." Hendrik Lorentz- The Theory of Electrons and Its Applications to the Phenomena of Light and Radiant Heat - 1916 www.jstor.org/stable/41133827 ----------------------------------------------------------------------------- Einstein also wrote in a 1919 letter to Lorentz: “It would have been more correct if I had limited myself, in my earlier publications, to emphasizing only the non-existence of an ether velocity, instead of arguing the total non-existence of the ether, for I can see that with the word ether we say nothing else than that space has to be viewed as a carrier of physical qualities.” Einstein stated in his 1938 book, The Evolution of Physics: “This word ether has changed its meaning many times in the development of science. … Its story, by no means finished, is continued by the relativity theory.” www.independent.com/2012/07/20/higgs-field-new-ether/
@user-bz9qz7fg4u
@user-bz9qz7fg4u 3 жыл бұрын
Yes
@user-pf4px2cn9e
@user-pf4px2cn9e 3 жыл бұрын
Hey parth, could you make a video on the quantum mechanics of a knuckleball? ⚾️
@SWRDMaster
@SWRDMaster 2 жыл бұрын
How about a video related to electrons coexisting in Cooper pairs?
@erikawimmer7908
@erikawimmer7908 3 жыл бұрын
Whut up my physics boys we are back at it again. Hows everything going for you?
@erikawimmer7908
@erikawimmer7908 3 жыл бұрын
@@user-pz1gd3nv4n well look at i that way: if it were so then you woudnt exist lol
@davidsweeney111
@davidsweeney111 3 жыл бұрын
are the shapes of atomic orbitals mathematically optimised based on some law, eg least charge repulsion?
@bhaskarmangaraj7527
@bhaskarmangaraj7527 3 жыл бұрын
can you please make a video on lorentz transformation
@eriktempelman2097
@eriktempelman2097 3 жыл бұрын
As follow-up, can you expand on the higher shells?
@akashsudhanshu5420
@akashsudhanshu5420 3 жыл бұрын
I am trying to think of something that is unique.(to explain indistinguibility) - it's like waves are spread upto entire universe. And we can't confirm two waves are exactly similar.
@Pexl_
@Pexl_ 2 жыл бұрын
i have a quick question for you parth how can the fucntion be positve or negative during particle exchange? does it have to do with some maths? or Just the way they work?
@animalbird9436
@animalbird9436 2 жыл бұрын
Its all maths..they cant see it so if the math fits .thats how its done...hence the is maths reality crap..reality is math and math is probably reality lol 🤣🤣
@divyanshugreninja6692
@divyanshugreninja6692 3 жыл бұрын
Hey sir , I have a question. Why is it that the fermions can't occupy the same quantum states as directed by the Pauli exclusion principle ? Is there some reason behind it ? And when do we represent the superposition of the fermions it's negative in between the two states and while in bosons it is plus between the two states ? Why is it so ?
@randommcranderson5155
@randommcranderson5155 Жыл бұрын
it has to do with the properties of waves - when waves are both the same sign they reinforce each other, and when they're opposite signs they cancel out. a good video on this topic here: kzfaq.info/get/bejne/kNKgZaqCmLWwlXk.html
@mohammadhusein5061
@mohammadhusein5061 Жыл бұрын
could you explain the neutron or electron degeneracy in M dwarf star
@TheHumanHades
@TheHumanHades 3 жыл бұрын
What are those red circles of light on your glasses. I have seen them in almost all the videos now.😂
@robertknetsch2715
@robertknetsch2715 3 жыл бұрын
This makes a lot of sense. But what I have never seen is why is is that fermions obey this "law" of Pauli's Exclusion Principle, yet Bosons (e.g., photons) can simply "ignore" this law, say, in a laser where all photons are at the same state. What is the property of fermions that make them "have to" follow Pauli?
@randommcranderson5155
@randommcranderson5155 Жыл бұрын
the property that cause the Pauli exclusion principle is that fermions have anti symmetric wavefunctions. More information and visualization here: kzfaq.info/get/bejne/kNKgZaqCmLWwlXk.html
@jagadishc3143
@jagadishc3143 3 жыл бұрын
How do we know that hydrogen have 1 electron and how do we know n shell has only 2 electron Can u please explain these kind of basic questions
@gauravkumar4450
@gauravkumar4450 3 жыл бұрын
We found a proton paired with an electron and named that atom Hydrogen. Nothing special about it. You can look its history up. Each n shell has orbitals that are named as "s, p, d, f, g, h, ..." (they are determined by quantum number L that Parth has not discussed) and each orbital can hold a certain number of electrons (that in turn is determined by quantum number m_L that too Parth has not discussed). So, for n = 1 shell, it has got only s orbital and no p, d, f etc. Now, s orbital can hold only two electrons (one spin up and the other down). I am not Parth, but I hope that answered your question.
@MisterTutor2010
@MisterTutor2010 10 ай бұрын
Symmetric vs antisymmetric entirely depends on whether spin is integer or half integer.
@mnada72
@mnada72 3 жыл бұрын
9:30 May be the life we know about wouldn't exist but sure another sort of like would exist. Let's rephrase it if any single item in the a system changes all other items need to change also for a system to exist may be in a different form
@ethanfreeman9243
@ethanfreeman9243 3 жыл бұрын
Hey, could you provide a simple explanation of Maxwell’s equations please! nice video
@ParthGChannel
@ParthGChannel 3 жыл бұрын
I've already made a video for 3 out of the 4 equations! Check them out here :) kzfaq.info/sun/PLOlz9q28K2e6aNgl1zt1xccyy4Ofl3YAk
@ethanfreeman9243
@ethanfreeman9243 3 жыл бұрын
@@ParthGChannel Just checked them out amazing videos. Thank you so much for making this type of information easy to comprehend for the average person😊
@mahmoudmroweh7730
@mahmoudmroweh7730 Жыл бұрын
​@@ParthGChannelhey parth when we say that 2 electrons could found in same energy level is that implies they can be at the same position at the same time or they are in diffrenent places in the energy shell and my second question is could bosons that have mass occupy the same position and if that possible shouldn't we get a poinr containing 2 bosons of heigh energy and heigh condinsation I hope you answer me thank you
@ankitthakurankit4764
@ankitthakurankit4764 Жыл бұрын
3:03 how we know the first eqn. Is for bosons and second is for fermions??
@bjarnivalur6330
@bjarnivalur6330 3 жыл бұрын
Hey, Parth, I've been wondering, your accent sounds very British but you use V for potential instead of U which I always thought was an American custom. Where are you from?
@ankitthakurankit4764
@ankitthakurankit4764 Жыл бұрын
Bhaiya the exceptional electronic configuration of chromium is explained by the stability in half or fully filled orbitals due to law of symmetry and exchange energy can you explain both in detail 'coz law of symmetry seemed useless to me the textbook says we know that symmetry leads to stability i think this is pure junk i mean why should symmetry lead to symmetry???
@drsonaligupta75
@drsonaligupta75 3 жыл бұрын
Isn't wave function a complex number so if their modulus is same so why cant one be i times (√-1) the other one or something. Why necessary negative or positive?
@iansagar1785
@iansagar1785 3 жыл бұрын
Hey Sir I have a question !! Do light Can bend space-time ?? (as it is produces electromagnetic field, Moreover it has energy and momentum ! And Can cause stress ! ) So Can light Bend space-time too ?? I didn't get the precised Answer anywhere !! Plz help ! @Parth G
@firozr4842
@firozr4842 3 жыл бұрын
Parth , do you have an e-mail I can reach out to . Also what software do you use for the graphical representation in the video . Thanks Firoz
@huseyinhalitince4404
@huseyinhalitince4404 3 жыл бұрын
I wish You would cover L and ml quantum nubers you way dıd n and ms . ıs it possible you to do so ? it would be great if you do . Sincerely
@ppmendonca1
@ppmendonca1 3 жыл бұрын
Why does the n=1 only allow fermions of differing m_s but not of the other quantum numbers, while the other n=* allow other quantum numbers to be different?
@abhayiyer8864
@abhayiyer8864 3 жыл бұрын
Can we force 2 similar electrons into the same energy level. What will happen in that case?
@SamraiCast
@SamraiCast 2 жыл бұрын
How can I distinguish between different bosons?
@tasneemkt4797
@tasneemkt4797 3 жыл бұрын
Hey, could you explain relativistic mass! it's very confusing!
@ikehsamuelifeanyi4925
@ikehsamuelifeanyi4925 Жыл бұрын
I still find quantum physics complex and complicated. I have done all I could but it is still difficult to grasp. Maybe because of the teaching or the basic understanding of the wavefunction
@ethanfreeman9243
@ethanfreeman9243 2 жыл бұрын
okay but how come the other quantum qualities dont apply to the n=1 shell. i.e. more than two because you can have differences in the other values, like in the other shells?
@WilliamDye-willdye
@WilliamDye-willdye 3 жыл бұрын
What is the property that allows electrons to be in the (otherwise) same state as long as they are in different atoms? I've read that it's the "position" which differs, but wouldn't electrons on opposite sides of a large shell also have different positions? Maybe I just need to read the explanations more carefully, but so far it isn't yet clear to me.
@scollyer.tuition
@scollyer.tuition 2 жыл бұрын
An electron in an atom is in a so-called "bound state"; it has a definite energy and it is more likely to be near the nucleus than far away - the wavefunction tends to 0 as we go far from the nucleus. For two identical atoms, say two H atoms, we can compute the "overlap integral" for the wave functions of the two electrons; the overlap integral essentially measures the probability of the two electrons to be close together. Given that the wavefunctions tend to 0 far from the nucleus, the overlap integral will be small when the atoms are far apart. When the overlap integral is small, the probability that the electrons will occupy the same state (i.e. will have the same 4 quantum numbers) is large, and the exclusion principle is essentially "switched off"; when the overlap integral is large (when the H atoms are close), the probability that the electrons occupy the same state is small i.e the exclusion principle is strongly "switched on". When the atoms are very close, the overlap integral is close to 1, and it's exceedingly unlikely that the electrons have the same 4 quantum numbers. When the atoms are close, new energy levels become available in the H atom, (and so new energy quantum numbers), which ensures that the electrons can have different quantum numbers in the two atoms. So, for example, the 1s orbital splits into two new orbitals, one with slightly higher energy than the original, one with slightly lower energy. If we bring close together two H atoms whose electrons have opposite spins, they can both occupy the new lower energy "1s" orbital, and a low energy H_2 molecule forms, parahydrogen. If we bring close together two H atoms whose electrons have the same spins, one occupies the new higher energy orbital, the other occupies the lower energy, and a higher energy H_2 molecule forms, orthohydrogen. So the formation of new energy orbitals is important in the question of molecular bond formation (and in understanding the properties of metals and semiconductors, and so on). Caveat: this explanation is very simplified, and for more info, you may want to look at the subject of Molecular Orbital (MO) theory, beloved of chemists, and with which I only have a passing acquaintance.
@WilliamDye-willdye
@WilliamDye-willdye 2 жыл бұрын
@@scollyer.tuition Thank you!
@ARVash
@ARVash 2 жыл бұрын
I mean isn't this a long (and more specific) way of saying that electrons take up space, which doesn't strictly need a QM description because there are EM fields?
@nilanjankmukherjee234
@nilanjankmukherjee234 3 жыл бұрын
Namaskar dada.. G for Ghosh naki?
@henriquemarra6565
@henriquemarra6565 3 жыл бұрын
💚
@non-inertialobserver946
@non-inertialobserver946 3 жыл бұрын
Why can't Psi(a,b)=i*Psi(b,a) for example? The square modulus is still the same
@mikuculus3720
@mikuculus3720 3 жыл бұрын
Quantum chemistry!
@HarryPotter-ov3kv
@HarryPotter-ov3kv 2 жыл бұрын
I'm confused: electrons are indistinguishable but aren't allowed to have the same quantum state? Pls help me understand
@zeebee0454
@zeebee0454 3 жыл бұрын
Hodge conjecture tell please
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