Rydberg Equation

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  • Опубліковано 12 лис 2012
  • The Bohr model of the atom is used to calculate the wavelength of light emitted.
    Warning! For some reason, this particular video gives a few watchers a lot of angst. Watch at your own risk, and let me clarify a few things. (1) I know that there are different ways to solve this problem. (2) I know that a different equation can be used (i.e., Balmer equation). (3) I know that particular forms of the Balmer equation may be used to preform the calculation more quickly.
    Knowing all that, I still choose to solve this problem in this way. If you want more background on my solving method, see • Rydberg vs Balmer
    I completely understand if you prefer to not watch this video for whatever reason.
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КОМЕНТАРІ • 96

  • @quintonwilson8565
    @quintonwilson8565 5 років тому +24

    Amazing student-prof interaction.

  • @coljambla
    @coljambla 10 років тому +12

    Explains the Rydberg Equation really well. Thanks!

  • @ATVOYTAS
    @ATVOYTAS 4 роки тому +4

    Thank you for breaking this down! I understood this better than using the Balmer’s formula.

  • @LivingDead53
    @LivingDead53 6 років тому +5

    Thank you for being clear. I'm here for conceptual reasons, but I will work a few problems after seeing this to get the idea in my brain. I actually can. It's not so bad. I really liked how you didn't puff your ego up by making this impossible to understand. We should have a book burning for impossible wording.

  • @HopefulCynic42
    @HopefulCynic42 10 років тому +2

    This is exactly what I needed. Thanks!

  • @izzie4760
    @izzie4760 Рік тому +1

    This was so helpful. Thank you!

  • @christiannachor3124
    @christiannachor3124 7 років тому +6

    thnk u so much for showing this. for that u deserve a sub

  • @aslikucukcalik9126
    @aslikucukcalik9126 8 років тому +2

    Hi! I'm from Turkey. I just find out about your videos while I was studying for my chem midterm which I have tomorrow. I didn't know anything but now I started learning wish I could heard about your videos long ago. Thank you SIR!

    • @EnderlePhD
      @EnderlePhD  8 років тому

      +Asli Kucukcalik I hope the exam went well!

    • @mbaharkaragozoglu
      @mbaharkaragozoglu 4 місяці тому

      7 yil sonra baska bir turk, ertesi gunku chem mt'sine calisiyor...

  • @35Bassell06
    @35Bassell06 8 років тому +6

    Very Helpful! Also, your voice reminds of of Amir from College Humor's Jake and Amir

  • @MisterEric
    @MisterEric 11 років тому +1

    Thanks for the video, very helpful!

  • @EnderlePhD
    @EnderlePhD  11 років тому +4

    It doesn't really matter as long as you know conceptually which way energy is flowing.

  • @syed5078
    @syed5078 4 роки тому +1

    Thank you for helping us in lockdown
    Love from kashmir (india)

  • @josephdurgam8578
    @josephdurgam8578 3 роки тому +6

    The rydberg constant for hydrogen is: (1.097 x 10^7) I think. Where are you getting the: (2.179 x 10^-18) from?

    • @shnig2333
      @shnig2333 2 роки тому +3

      i know your comment is 8 months old but i'll be answering it just in case you or someone else still has the same question...
      he wrote the Rydberg formula which is ΔE=h · c · Rh (1/n - 1/n) as ΔE=Rh (1/n - 1/n)

    • @taro8956
      @taro8956 2 роки тому +1

      @@shnig2333 Thanks! Bio student here wondering the same thing

  • @tuby4116
    @tuby4116 2 роки тому +1

    Those who are wondering why rydberg constand have diff value so
    Rydberg constant is 2π²k²Z²e⁴m / h³c
    And this have value 1.097 × 10⁷
    But he wrote rydberg formula= hc/wavelength
    And according to that rydberg constant formula changes i.e.
    2π²k²Z²e⁴m / h² which is energy formula
    And equal to 13.6eV and if we convert it into Volt it will be 13.6 × 1.6×10-¹⁹ = 21.76× 10-¹⁹
    This value shift according to orbit

  • @jessicaloweke1740
    @jessicaloweke1740 2 роки тому

    Very helpful, thank you kindly

  • @allisonscanlan4144
    @allisonscanlan4144 7 років тому +4

    This was an exact question on my test.. must be the same problem bank..or just very coincidental

  • @EnderlePhD
    @EnderlePhD  11 років тому +4

    Different units - multiply yours by hc and it will be the same in mine (Joules).

  • @FIN3creati0ns
    @FIN3creati0ns 9 років тому +1

    Thanks dude!!

  • @allisali
    @allisali 7 років тому +13

    when you convert from nanometers to meters, why is it 10^9 and not 10^-9?

    • @EnderlePhD
      @EnderlePhD  7 років тому +14

      You can either say 1 nm = 10^-9 m or 1 m = 10^9 nm. Both are equivalent mathematically.

    • @lisandrosalazar8092
      @lisandrosalazar8092 4 роки тому

      there are 1.0e^9 nm in one m

  • @krishnakantthakur7730
    @krishnakantthakur7730 5 років тому +2

    Liked it....💓

  • @SplashEazy
    @SplashEazy 10 років тому +7

    I think Rydberg's constant as that number some of you are typing represents a wavelength. If you multiply it by plank's constant and the speed of light you get the number as an electron volt (eV). From there you can convert it into Joules and it becomes 2.18*10^-18 J.
    Someone should call me out if I'm wrong, because I'm not entirely sure.

    • @Aecretra
      @Aecretra 5 років тому

      It looks like the number you get when you multiply Rydberg's constant by Planck's constant and the speed of light is already in Joules. My Planck's constant was given in J*s though.

  • @EnderlePhD
    @EnderlePhD  10 років тому +3

    It's a matter of units.

  • @physicsbykaushik1279
    @physicsbykaushik1279 5 років тому +2

    Why this name is redberg constant????

  • @lrcphysics8085
    @lrcphysics8085 8 років тому

    Wow, I'm so glad you are still replying to questions here. I happen to be desperate to know how Balmer came up with his constant 364.50682. I understand that RH is 4/364.50682, but where does that constant of Balmer's come from? Can you offer any insight on that score?

    • @EnderlePhD
      @EnderlePhD  8 років тому

      +LRC Physics I don't have an answer to your question exactly, but I'll refer you to my other video which at least lists the other constants: ua-cam.com/video/DEhdJLUfd54/v-deo.html
      If you find the answer to your question, please post here. Thanks!

    • @lrcphysics8085
      @lrcphysics8085 8 років тому

      Yeah, thanks. What I found out is nobody knows. It appears Balmer found his constant by trial and error. Then Rydberg divided 4 by it to get his, so the mystery is really the number 4, or 2 squared. It turns out that the hydrogen series follows the quadratic polynomial expansion n squared minus 1, which Rydberg inverted in his algebraic reformulation of Balmer's equation. It's all mysterious, but hidden, because Bohr's model explained it so easily.

    • @siddhantmadane200
      @siddhantmadane200 2 роки тому

      @@lrcphysics8085 he is real legend

  • @baemonrawr
    @baemonrawr 8 років тому

    I have a question I hope someone can answer.
    Since it is Delta E, shouldn't the formula be (1/nf^2 - 1/ni^2)*constant since the change should have final minus initial???
    Thanks in advance! Very helpful video

    • @baemonrawr
      @baemonrawr 8 років тому

      Wait... I think I answered my own question. I'm using a negative constant where E= -hcR (1/n^2) where you use a positive constant hcR. Haha I'm just glad I figured it out. Thanks again!

  • @ergosum5001
    @ergosum5001 11 років тому +1

    Does the Rydberg Equation have to have the 1/initial - 1/final? I've looked around the internet and some have it 1/final - 1/initial and I don't understand why. If you reverse it does it make the equation 'absorption' specific or 'emission' specific or something?

    • @voidisyinyangvoidisyinyang885
      @voidisyinyangvoidisyinyang885 Рік тому

      I think the final answer has to be positive so which ever initial value is less than the final value - if you are emitting or absorbing it reverses the direction.

  • @1357shaw
    @1357shaw 9 років тому +2

    What happens if the initial orbit is larger than final orbit?
    (for ex. ni = 253 and nf = 252...... "highly excited hydrogen atom")
    Energy comes out to be negative, right? does negative energy make sense?
    maybe it simply means that the hydrogen is losing energy, so the magnitude of the energy can be written regardless of the sign?

    • @EnderlePhD
      @EnderlePhD  9 років тому +3

      That's fine. Negative E means that E is being released. Positive E means it's being absorbed.

  • @Vain4223
    @Vain4223 9 років тому +6

    I'm not sure I follow this variation of the Rydberg equation. As I know it, the left side will be 1/lambda, not (delta)energy.
    Inferring that 1/lambda = E should be fairly simple if true, but given that E = hc/lambda, and hc will never be equal to 1...
    How does that work?

    • @Commonmischief
      @Commonmischief 9 років тому +6

      There are three variations that I'm aware of which use different R values. 1/lambda will need R=1.097x10^7 m^-1. ∆E uses R=2.178x10^-18 J. Finally, when the left side is frequency you use R=3.29x10^15 Hz or 1.097x10^7 m/s. Hope this helps!

    • @j.g.s.njayarathna1154
      @j.g.s.njayarathna1154 5 років тому

      I know the same equation :(

  • @josueventura-reserva9946
    @josueventura-reserva9946 9 років тому

    Hi, I'm from Peru, I can help with this question please. It reads: initially an electron is in the fourth level, if energy of 4.16 × 10 -7 erg is issued. At what level he moved? I get as data K = 3.29 x 10 ^ 15. Greetings.

    • @EnderlePhD
      @EnderlePhD  9 років тому +1

      Josue Ventura It's the same type of calculation. You are solving for nf knowing that ni is 4.

    • @josueventura-reserva9946
      @josueventura-reserva9946 9 років тому

      EnderlePhD ok thanks.

  • @lerromac2262
    @lerromac2262 Рік тому

    You can take value of hc together as 12400 but put wavelength in A° this would be easy for calculations

  • @EnderlePhD
    @EnderlePhD  11 років тому

    It's not necessary. The size of n1 in comparison to n2 tells you the direction of energy flow.

  • @ktkc1o7
    @ktkc1o7 3 роки тому +1

    Hold up. Why is it n initial (6) - n final (2) in his equation? My chem book says final minus initial.
    (1/6^2 - 1/2^2)
    Vs
    (1/2^2 - 1/6^2)

    • @ktkc1o7
      @ktkc1o7 3 роки тому

      @T DP The two equations I have are
      delta E = -2.18 x 10^-18 (1/n^2 final - 1/n^2 initial)
      and
      1/lambda = R(1/n^2 sub1 - 1/n^2 sub2) where n sub1 > n sub2 and R = 1.096776 x 10^7 m^-1

  • @johannadsouza439
    @johannadsouza439 2 роки тому

    Thankyou!

  • @shabazkhurshid4099
    @shabazkhurshid4099 7 років тому

    sir will u plz explain when u solve ur equation there must be a negative value will come

    • @EnderlePhD
      @EnderlePhD  7 років тому

      I'm not sure I completely understand your question. In general, the negative shows the directions of energy flow.

  • @deepakba5246
    @deepakba5246 6 років тому +1

    Sir, does rydberg depends on atomic number

    • @alexjamesmalcolm
      @alexjamesmalcolm 2 роки тому

      Rydberg's Formula does but it has to be changed (there's a missing Z^2), he has a video called Ionization Energy Calc 2 that I got here from that he explains that. I'm sad that Rydberg only works on Hydrogen-like atoms. I want to calculate every ionization energy. Edit: Any atom can be hydrogen-like, it just has to have only 1 electron left. So Helium's second ionization, Lithium's third ionization.

  • @TheMcketo
    @TheMcketo 11 років тому

    yea i thought the same thing. he is teaching a different way of finding the same answer.

  • @adrianriyadi7879
    @adrianriyadi7879 3 роки тому

    Thank youuuuuu

  • @savannaobregon3823
    @savannaobregon3823 5 років тому

    In the version I was taught, the constant is just written negative ad the n values are switched. I was very confused for half of this video haha

  • @exploreit591
    @exploreit591 6 років тому

    great

  • @corneliusaz6995
    @corneliusaz6995 10 років тому +2

    How did you get 2.179*10^-18? Isn't Rydberg's constant=1.097*10^7?

    • @RohitKumar-hi4qf
      @RohitKumar-hi4qf 5 років тому +1

      That's for m^-1, convert it into joules by multiplying it by hc..... Because he wrote delta e

    • @robingriffin42
      @robingriffin42 4 роки тому +2

      @@RohitKumar-hi4qf Omg thank you. I was so confused as I've been watching several videos and the constant is one or the other and I was not understanding why.

  • @arthurkubacki666
    @arthurkubacki666 5 років тому

    i don't understand how you find NI AND nF , somebody can explains ?

    • @sasuke_uchiha6850
      @sasuke_uchiha6850 5 років тому +1

      Ni stands for the initial orbit number and the Nf stands for the final orbit number

  • @okieoneshinobi
    @okieoneshinobi 5 років тому +2

    I like the part where he says to make the initial orbit larger just for fun but 12 is too large.

    • @alexjamesmalcolm
      @alexjamesmalcolm 2 роки тому

      I'm not sure but I don't think 12 exists as far as orbits go. Just my amateur experience but I've only seen up to 8.

  • @JumpKID923
    @JumpKID923 11 років тому +1

    I thought the Rydberg constant was 1.097x10^7...?

  • @persona7506
    @persona7506 3 роки тому

    I get it now

  • @arielwest3078
    @arielwest3078 8 років тому

    Why are you converting with 10^9 and not 10^-9? If anyone understands why please feel free to explain! Thank you!

    • @EnderlePhD
      @EnderlePhD  8 років тому

      +iTroNN Yes, thanks.

    • @arielwest3078
      @arielwest3078 8 років тому

      Thank you guys! I am just not used to ever seeing it done this way, for some reason we only ever have problems that require multiplying 10^-9 m / 1 nm. Now I can see that it is the same thing, it just took me a second. Have a great day everyone! P.S. Thank you for the video, it immensely helped me with my midterm!

    • @EnderlePhD
      @EnderlePhD  8 років тому

      +Ariel West Good luck on the rest of your classes!

  • @dr.octavious2085
    @dr.octavious2085 Рік тому

    Daaamnn!!

  • @EnderlePhD
    @EnderlePhD  10 років тому

    Double check your conversions and you'll see that 1 m = 1000000000 nm.

  • @nickanzohrevand7547
    @nickanzohrevand7547 4 роки тому +1

    Wait but Rydberg's constant is -2.17*10^-18

    • @EnderlePhD
      @EnderlePhD  4 роки тому +2

      Yes, that’s what was used in the video

  • @megheshsahu7023
    @megheshsahu7023 3 роки тому +1

    I am here after 8 years 😅😅

  • @unknownplayer4902
    @unknownplayer4902 Рік тому

    2:20 sir ans is 4.85917*10^19j

  • @madhavimurala2295
    @madhavimurala2295 5 років тому

    Rydberg's constant is 109678 cm^-1 isn't it

    • @EnderlePhD
      @EnderlePhD  5 років тому

      It depends on how the equation is setup.

  • @burritobrawl5922
    @burritobrawl5922 Рік тому

    thanks for the help bill nye

  • @AidanRatnage
    @AidanRatnage 9 років тому

    Why does my chemistry course tell me RH = 3.29x10^15?

    • @EnderlePhD
      @EnderlePhD  9 років тому

      Aidan Ratnage It could be. There are different forms of the same equation. Check your equation carefully. Also, there are different series that cause the equation to vary as well.

    • @MajorasMaskMailman
      @MajorasMaskMailman 9 років тому

      +Aidan Ratnage That constant is for when you're solving the Rydberg equation for the frequency of the photon emitted, not the energy.

    • @EnderlePhD
      @EnderlePhD  9 років тому

      +MajorasMaskMailman Great.

    • @robingriffin42
      @robingriffin42 4 роки тому

      @@EnderlePhD How do you know which one to use?

  • @willkeegan1645
    @willkeegan1645 8 років тому +1

    An easier and more correct way to calculate the wavelength would be to set the equation up like this: 1/λ=R(1/nf^2 - 1/ni^2).
    Here it is worked out:
    1/λ= 1.096 x 10^7 M^-1 (1/2^2-1/6^2)
    1/λ= 1.096 x 10^7 M^-1 (8/36)
    λ= 1/1.096x 10^7 M^-1
    λ= 4.1058 x 10^7 M
    λ= 410 nm

    • @EnderlePhD
      @EnderlePhD  8 років тому

      +Will Keegan Thanks, for the details of the calculation. I am very aware of that method. It turns out to be an equivalent method, not more or less correct. I use the method in this video for very particular reasons. If you desire to see why, go to: ua-cam.com/video/DEhdJLUfd54/v-deo.html

    • @RohitKumar-hi4qf
      @RohitKumar-hi4qf 5 років тому

      What if u want to calculate energy .....
      With this u won't have to calculate lamda

  • @pheksinshin3539
    @pheksinshin3539 2 роки тому

    O

  • @adityakanoi8703
    @adityakanoi8703 7 років тому +1

    Not much use full in india as iit exam ( world's 3rd most hard exam just requires the value as 109677 cm-1

    • @candypaii
      @candypaii 6 років тому

      Aditya Kanoi 3rd most? Source?

  • @zhaka5464
    @zhaka5464 Рік тому

    Life sucks and we're all going to die.

  • @abhijitsinghbains2470
    @abhijitsinghbains2470 7 років тому +1

    look at that shirt loose as hip Hop artist ...lol

  • @aprilwhitledge7837
    @aprilwhitledge7837 8 років тому +1

    You are pronouncing the name wrong wtf! its Rydberg like ride a bird.

  • @cowboyjack5559
    @cowboyjack5559 10 років тому

    What tha hell, no equations should be given for a test. Maybe constants, but that's about it.