Homework Statement
The Bohr model
The Bohr model correctly predicts the main energy levels not only for atomic hydrogen but also for other "one-electron" atoms where all but one of the atomic electrons has been moved, as as in He+ (one electron removed) or Li++ (two electrons removed). To...
Homework Statement
Instead of electrons in the hydrogen atom experiencing the Coulomb potential, let's say they experience a potential in the form of V(r) = V_0(\frac{r}{R})^k, where V_0 > 0,\: R > 0, \:k > 0.
With this information find an equation for the radii of the Bohr orbit with...
Homework Statement
What is the wavelength of the emitted photon when HCl de‐excites from the first vibrational state?
Well, I had to solve for the energy of the first vibrational state in the question before, assuming that it behaved like a harmonic oscillator using the...
This is more of a historical question than an actual physics question sorry... but it is physics related so here it goes
I know when they first met Einstein and Bohr became good friends but does anyone know if they stayed that after all their famous debates about the paradoxes of quantum...
Homework Statement
In the classical Bohr model of the hydrogen atom, the nucleus has one positive electronic charge Q_n = e = +1.602E-19 Coulombs and the single electron (mass = 9.1E-31 kg and Q_e = -e = -1.602E-19 C, one negative electronic charge) orbits the nucleus in a circular orbit. In...
Amazing British documentary. :!)
BBC - The Copenhagen Fall Out
In World War II, there were mounting fears that Hitler was building an atomic bomb. Such a prospect depended on two of the world's top nuclear scientists; brilliant German physicist Werner Heisenberg, and his Danish mentor, Niels...
bohr model: permitted radii?
Homework Statement
A new (fifth) force has been proposed that binds an object to a central body through a potential
energy function given by:
U(r) = -Dr^{\frac{-3}{2}}
2 r > 0 and D > 0
(a) What is the (central) force F(r) associated with this potential...
Homework Statement
The Bohr model
The Bohr model correctly predicts the main energy levels not only for atomic hydrogen but also for other "one-electron" atoms where all but one of the atomic electrons has been moved, as as in He+ (one electron removed) or Li++ (two electrons removed). To...
What are the major assumptions made by Bohr to explain atomic spectra from hydrogen?
I had this on a test last week and was just wanting to know the answers. I was not required to answer it but am worried I will see it again. I looked through the book and can't find anything that is...
Homework Statement
An electron moves along a circular orbit in the potential U=1/2*k*r^2. Using Bohr's quantization condition, find the permissible orbital radii and energy levels of the electron
Homework Equations
L=mvr=n*hbar
The Attempt at a Solution
Will someone put me on...
Homework Statement
4-16:
if the angular momentum of the Earth in its motion around the sun were quantized like a hydrogen electron according to equation L=mvr=(nh)/2Π, what would Earth's quantum number be? How much energy would be released in a transition to the next lowest level? would...
Bohr - van Leuven Theorem ??
Has anybody heard of this theorem? I remember vaugely that it has to do something with the work being done on magnetic dipoles / spins. I can't find it anywhere on the internet. I'm really curious...
Thanks!
Calculate the three longest wavelengths and the series limit for the K-shell x-ray series of the zirconium atom.
(a) λ(Kα) = 79.8832 pm
(b) λ(Kβ) = 67.401142 pm
(c) λ(Kγ) = 63.90653 pm
(d) The series limit is _____ pm
So I have solved parts a-c. For part d, the series limit, I tried...
[SOLVED] Bohr Model of H-atom
Hi,
Would anyone be good enough to explain why the 1s2p splitting in a hydrogen atom is 3/4 of the total binding energy?
Would it have anything to do with the Rydberg energy?
E = - 13.6eV/n^2
I appear to have floated through my degree blissfully...
Homework Statement
i have been given a question that asks to me to calculate the radii of the first, second and third 'permitted' electron orbits in hydrogen. I did this fine by using the Bohr Equation, each time just changing the n value to either 2 or 3 resulting in the first value of the...
I have this problem to solve, but I can't seem to find the right formula. It says to use "an expression for energies of a Bohr atom in a weak magnetic field".
I've looked in my coursebook but I can't find anything useful. Can anyone help me?
Use the Bohr quantization rules to calculate the energy levels for a harmonic oscillator, for which the energy is p²/2m + mw²r²/2; that is, the force is mw²r, where w is the classical angular freq of the oscillator. Restrict yourself to circular orbits.
So far I have that mvr=nh\, w=v/r, and...
I have a take home quiz here and it would be greatly appreciated if someone could check over my work (it's numeric response btw):
1) A singly charged lithium ion (m= 1.16x10^-26 kg) is accelerated from rest thru a potential difference of 5.60 x 10^5 V. The velocity selector consists of an...
Why does in QM the electron does not fall toward the nucleus? After all, the only force between nucleus and electron is attractive (- electron and + nucleus). Is the same reason that justifies the moon does not fall to the earth?
Homework Statement
Hi I'm having difficulty in understanding how to calculate the radius for certain situations.
for example, I have a question that asks me to calculate the radius and binding energy of muonic hydrogen.
Homework Equations
The Attempt at a Solution
my first...
Atom But?
I am studying atom and I reach the Bohr model & the quantum theory of atom for now.
But I have some point that I don’t understand for example:
1st We assume that the positive charge (protons) and 99% of the mass (neutrons) are stable, (in most cases), in the center of the atom .And...
Homework Statement
What is the radius of the n=1 orbit in C^5+ ? What is the energy of the electron in that orbit? What is the wavelength of the radiation emitted by C^5+ in the lyman alpha transition
Homework Equations
1/lambda=R*(1/(n^2)-1/(m^2) )...
Homework Statement
Light of wavelength 410.7 nm is observed in emission from a hydrogen source. a) what transition between hydrogen bohr orbits is responsible for this radiation? b) to what series does this transition belong to? Homework Equations1/lambda=Z^2 *R(1/n^2-m^2) ,
n being the...
an electron is distributed around a proton according to the volume charge density \rho = A e^{-2r/a_o} where A is a constant, a_o is the Bohr radius and r is the distance from the center of the atom.
Find A:
we know that Q=\int \rho dV = -e
i was wonder if this was the integral that i set up...
The bohr magneton is e hbar/ 2 m
If we're talking about an electron in a metal or semiconductor, should the effective mass be used for m?
From all the papers I've seen, nobody does that. They just use the free electron mass. For instance the Larmor precession of an electron moment. The...
Hi,
we know that we can find the radius and energy of the orbits of hydrogen.now why is it so that we cannot apply the same formulas for other elements by using the equations given by bohr.if there are complications what are they?
Homework Statement
he potential energy of a hydrogen atom in a particular Bohr orbit is -2.72 10-19 J.
(a) Which Bohr orbit does the electron occupy in this atom?
(b) Suppose the electron moves away from the nucleus to the next higher Bohr orbit. Does the potential energy of the atom...
for ions with more than one proton ie. He+, Li2+ and Be3+, doesn't the extra charge factor into the equation? because it seems only the elementary charge is http://en.wikipedia.org/wiki/Bohr_radius" , hence rendering it independent of amount of positive charge present.
In the Bohr atomic model, electrons move between shells having angular momentum L_n = n h_bar where n is the shell number and the difference in shell energies E_n2-E_n1 matches the Rydberg energy of the emitted or absorbed photon.
My question is: what hapened to the angular momentum...
In
http://arxiv.org/abs/physics/0702069
I discuss a hypothetical historical context in which a Bohm-like deterministic interpretation of the Schrodinger equation could have been proposed before the Born probabilistic interpretation and argue that in such a context the Copenhagen (Bohr)...
Im doing a paper on Bohr Energy levels and I need help. The most I can find about the Bohr models are about its radius, velocities, and such. Is there any links that can explain to me clearly the whole concept of the energy levels and all equations attributed with it, if any.
I was just doing some last minute review for my physics final tomorrow, and I have a few question about the Bohr model of the Hydrogen atom.
1) So at the ground state, a bound electron has -13.6eV energy. Now, say there was a photon with 14eV fired at it... would the electron escape?
I mean...
The electron in a hydrogen atom is in the first excited state, when the electron acquires an additional 2.86 eV of energy. What is the quantum number n of the state into which the electron moves?
I found the answer to be 5 but I don't know how. I thought I could use the following equation...
Hey, I was wondering if anyone could help me out with this. I need to take the Bohr energy equation ( En= -2.178 x 10^-18) (Z^2 /n^2) and the Inoization energy equation ( IE= Einfinity - Eground state). I need to somehow modify the bohr energy equation that can be used to find the inonization...
Hi,
I'm having trouble on the following question:
A singly ionized helium atom is in the ground state. It absorbs energy and makes a transition to the n = 3 excited state. The ion returns to the ground state by emitting two photons. What are the wavelengths of the lowest energy photon and...
Q: From the Bohr model of the Hydrogen atom, calculate the minimum amount of energy (in eV) an electron in the lowest orbital would need to free it from its proton (i.e., to ionize the atom).
A: would I use the equation: En = - 13.6 / (n^2) ?
If so, an an electron in its ground state would...
I have the chance to choose between on of the above two universities for a exchange semester next year, i was wondering if anyone can give any comparisons between the two in terms of mathematics and theoretical physics. Keep in mind I'm only a sophomore student now.
a question asks if the Bohr model contredicts in any way classical physics.
i replied that only the first assumption that the electrons are fixed in circular orbits violates the laws of classical mechanics - of the idea of centripetal acceleration (?)
am i right to say that?
did i miss...
are there any posters of both Albert einstein and neils bohr?
being two of the greatest minds of the 20th century, and the dichotomy between them... i think the poster would say a lot.
plus, einstein is my favorite physicist. so, if you know of any, id like to buy one. thanks!
5. The energy En of an electron at the nth orbit in the hydrogen atom is given as:
En = - (13.6 / n2 ) eV where n = 1,2,3, . . . . .
a, If an electron is at n=3, how many spectral transition lines are possible
if it falls to the ground ?
For part a, what does it mean by "how many...
hydrogen atoms in states of high quantum number have been created in the labortatory and observed in space. Find the quantum number of the Bohr orbit in a hydrogen atom whose radius is 0.01mm.
my problem:
n=(0.00001/(5.29*10^-11))^(1/2)=434.7
i think that n should be 434, because the...
Hi Guys,
Because of the absorbtion and emmision spectrum we know that atoms have quantised engergy levels. For example for an electron to jump from ground state to the first excited state in a Mecury atom, a photon with the exact energy of 4.9eV is required.
Now my question is what would...
Hi; Could someone please help me with this question: By what fraction does the mass of an H atom decrease when it makes an n=7 to n=5 transition? How would I go about this question? Thank you.
I have only taken QM for a semester so I'm sure there are a lot of gaps in my understanding. Here is my question: The original electron orbiting around the nucleus like planets around the sun model was rejected partly because the radiation (energy loss) was not taken into consideration. I...
Niels Bohr atom and magnetic fields
Could anyone help me solve the following problem?
I am supposed to use Biot-Savart Law. What I tried was:
The orbit of the electron can be interpreted as a current flowing in a circular spire (on the opposite direction of the electron's velocity). If an...
hey everyone! good morning!
i just took like 15 minutes drawing this to ask a question, but the funny thing is that my question got answered as i was about to post this! :biggrin: :biggrin: so I'm leaving this up for anyone who wanted to look at it!
Take care and enjoy! :cool:
Note...
According to the Bohr theory, how many revolutions will an electron make in the first excited state of hydrogen if the lifetime in that state is 10^-8?
Basically do I find the speed of the that the electron moves in this excited state then get the distance that a revolution is and divide it...