Louis Victor Pierre Raymond, 7th Duc de Broglie (, also US: , French: [də bʁɔj] or [də bʁœj] (listen); 15 August 1892 – 19 March 1987) was a French physicist and aristocrat who made groundbreaking contributions to quantum theory. In his 1924 PhD thesis, he postulated the wave nature of electrons and suggested that all matter has wave properties. This concept is known as the de Broglie hypothesis, an example of wave–particle duality, and forms a central part of the theory of quantum mechanics.
De Broglie won the Nobel Prize for Physics in 1929, after the wave-like behaviour of matter was first experimentally demonstrated in 1927.
The 1925 pilot-wave model, and the wave-like behaviour of particles discovered by de Broglie was used by Erwin Schrödinger in his formulation of wave mechanics. The pilot-wave model and interpretation was then abandoned, in favor of the quantum formalism, until 1952 when it was rediscovered and enhanced by David Bohm.Louis de Broglie was the sixteenth member elected to occupy seat 1 of the Académie française in 1944, and served as Perpetual Secretary of the French Academy of Sciences. De Broglie became the first high-level scientist to call for establishment of a multi-national laboratory, a proposal that led to the establishment of the European Organization for Nuclear Research (CERN).
Inquiry:
When introducing de Broglie waves, the author of my modern physics book first makes the analogy of a wave propagating on a string. Naturally the displacement at any time is given by y=Acos2\pift, where A is amplitude of the vibrations and f is the frequency. Then he argues that a more...
Am I correct in thinking that the quantum mechanical de broglie wavelength explains relativity's contraction of matter? because lambda = h/p, as the velocity of say a proton increases, the momentum also increases, and the wavelength should get smaller because lim p-->infinity of h/p = 0. At very...
De broglie wavelength of fast moving particle--help please!
Homework Statement
A particle moving with kinetic energy equal to its rest energy has a de Broglie wavelength of 1.7898 *10^-16 m. If the kinetic energy doubles, what is the new de Broglie wavelength?
Homework Equations...
Homework Statement
A certain crystal has a set of planes 0.33 nm apart. A beam of neutrons strikes the crystal at normal incidence and the first maximum of the diffraction pattern occurs at ∅= 38°. What is the de Broglie wavelength of the neutrons?
Homework Equations
nλ = Dsin∅ where D...
Hello,
In the book physical chemistry (P. Atkins & Julio de Paula, 2009, 5 ED) the authors derive a justification of the Schrödinger equation.
1.) \frac{-\hbar^{2}}{2m} \frac{d^{2}\psi}{dx^{2}}+V(x)\psi=E \psi
The derivation goes as follows:
Derivation:
We can justify the form of...
The atoms in a gas can be treated as classical particles if their de Broglie wavelength is much smaller than the average separation between the particles. Compare the average de Broglie wavelength and the average separation between the atoms in a container of monatomic helium gas at 1.00 atm...
Homework Statement
In quantum mechanics the de Broglie wavelength of an object depends
on its momentum according to λ=h/p where h is Planck's constant.
Protons of charge e and mass m are accelerated from rest through a
potential V. What is their de Broglie wavelength?
A) 2h/\sqrt{}meV...
As we know that the properties of nanoscale material are quite diffrent from the bulk's. But what's the threshold of the size, or what the upper limmit where significant difference can be observed? The De Broglie wavelength or the Fermi wavelength of the electron in material? How to understand that?
Homework Statement
What is the De Broglie wavelength of an electron with KE= 8.5 eV?
Homework Equations
λ=h/p
KE=0.5mv2
p=mv
The Attempt at a Solution
I converted 8.5 eV into joules:
8/5 eV × 1.602e-19 J = 1.3617e-18
Then used it for KE to solve for v:
I got 1729006.11...
Homework Statement
http://img580.imageshack.us/img580/7492/50177994.jpg
The Attempt at a Solution
I first attempt part (a) since both parts are similar:
(a) I need to know "v" in order to use the following equation to find the de Broglie wavelength:
\lambda = \frac{h}{p}...
I'm having trouble understanding some things about the De Broglie relation, λ=h/p
1. A massive system, such as an atom, is a composite of several particles (protons/neutrons, electrons), each of which is a matter wave with its own wavelength, according to De Broglie relation. But the atom...
Dear Physics Forum,
I think I am confused in applying the correspondence principle in QM, using the particle in a box and de Broglie wavelength calculations for massive (macroscopic) objects.
Why is the calculated energy of a massive object so small in the particle in a box
E = h2/8mL2...
We can calculate a de Broglie wavelength for a particle with momentum p. My question is does this apply to the lateral size of the particle? Perpendicular to the motion the momentum is zero. What can we say about the size of the particle in the perpendicular direction?
I went back to my old introductory books on Quantum Mechanics and noticed the derivation of the de Broglie relation.
Therefore I have now this question:
How much does the de Broglie relation (p = hb k) depend on Special relativity?
Would the dependence be strong enough that one may...
While deriving De-Broglie wavelength we equate mc^2 to hf and then for electron we change c to v but as far I know mc^2 is rest energy then how could c be converted into v for electron.Shouldnt it have the same rest energy?
I'm reviewing for one of my final exam and I can't seem to figure out this problem:
Find the Debroglie wavelength of an electron with a KE of 40 ev.
I got an answer of 3.9 x 10^-10 m.
I keep getting it wrong and I'm not sure what to do.
Thanks in advance!
My book does not explain this and i can't rly find a simple explanation for this on google and my professor basically dodged my question:
So the de Broglie wavelength formula basically says that matter creates waves with wavelength h/p, where p is the matter's momentum. However, when the...
Homework Statement
Bose-Einstein condensation of a fluid occurs when the de Broglie wavelength of a "typical" particle becomes greater than the average nearest-neighbor distance. One can interpret the momentum in the de Broglie equation as
p=\sqrt{<p^{2}>}
where <p^{2}> means the thermal...
Hello everybody at physicsforums.com!
This is my very first topic in here, although I visit the forum for some time. I'm from Brazil and as english is not my mother language, i ask you not to be so harsh with my probables grammar mistakes XD.
Well, so let's get to business.
I have...
According to Broigle,
λ=h/p
where
p=momentum,
h=planck constant, and
λ=wavelength
But that means,
if λ increases, then p will increase
p=mv
and so v will increase along with the wavelength
But what if the v is that of light,i.e, c?
Does de Broglie wave length apply to composite particles? For example a very low momentum neutron does it have a very large wave length? Or do we think in terms of the three quarks that make up the neutron? The three quarks do not have low momentum they are banging back and forth inside the...
Homework Statement
(a) Find the kinetic energy of an electron whose de Broglie wavelength is equal to 0.63 Å, a typical atomic size.
Ke = 379 eV
(b) Repeat part (a) for an electron with a wavelength equal to 1.7 x 10-15 m, a typical nuclear size.
Ke = _____eV
Homework Equations...
Homework Statement
In the Bohr model of the hydrogen atom, if the electron is in the second orbit with a radius of 2.12 Å. What is the de Broglie wavelength of the electron?
Homework Equations
λ = 4h^2ε/me^2
The Attempt at a Solution
I found this equation hunting around online and...
Find the kinetic energy of the following particles that each have a de Broglie wavelength of 0.50 nm.?
(a) photons
____eV = 2480eV
(b) electrons
____eV
(c) neutrons
____eV
(d) α particles
____eV
i know E= hc/wavelength which = a and after that I am stuck i know that the wavelength =...
Hello there,
If an object has a mass of 1 in arbitary units, and it's velocity is zero relative to you, what is the de Broglie wavelength? Shouldn't p be zero in this case? Or am I missing something related to intrinsic energy and momentum?
Thank you very much.
Homework Statement
Find the de Broglie wavelength for an electron with v=0.001c. Find the angular width of the central bright fringe in a double slit experiment, with the separation of the two slits d=50nm.
Homework Equations
wavelength = h/mv
d sin(theta)=n*wavelength
The...
If a photon hits electron which is at rest. scatters electron. Some one pleas show formula that relates compton wavelength and de broglie wavelength of electron
Alright, as this wikipedia article states that, "A wave is a disturbance that travels through space and time, usually accompanied by the transfer of energy. Waves travel and the wave motion transfers energy from one point to another, often with no permanent displacement of the particles of the...
Photons are blue-shifted as they accelerate in free-fall toward the earth. When an electron or positron is conceptualized as a wave using de Broglie's equation, are the de Broglie wavelengths of the electron or positron shortened (blue-shifted) as they accelerate toward the Earth in free-fall...
I've posted a similar question here before, but to no avail. My question is, what is the cause for the propagation of a matter wave? In the same sense that oscillating electric and magnetic fields carry light across space (for lack of a better explanation), and every wave propagates through a...
In the same sense that sound waves propagate through air, water waves through water, light through spacetime, what medium does the de broglie wave propagate through? Also, how could one detect such a disturbance in this medium without measuring the particle itself? (i.e. you can see the wake of...
Question-A certain crystal has a set of planes spaced 0.376 nm apart. A beam of neutrons strikes the crystal at normal incidence and the first maximum of the diffraction pattern occurs at a scattering angle (i.e angle between incoming neutrons and reflected beam) of 41.4 degrees. What is the de...
i was working on atomic structure and i stuck here.
how can a wave be associated to any material? is it related to wavelength of colur it emits or is it the wavelength of vibrations after it has been stuck by something?
what is it??
So, I've come across a new page in my revision guide in the Quantum Phenomena section, labelled "de Broglie wavelength".
My old enemy.
Now, I understand the theory behind wave-particle duality, I just don't understand this chunk of de Broglie and his equation.
Here it reads "The de...
Just a very quick question:
in my notes I have the velocity of a DeBroglie wave is given by:
\nu\lambda=2\pi\nu\frac{\lambda}{2\pi}=\frac{\omega}{k}=\frac{E}{p}=\frac{c^{2}}{v}
I can't figure out how he want from E/p=c^2/v.
I think the assumption is made that E is approximately equal...
I have taken down in my notes that for massless particles the formula by DeBrogle becomes
E = pc, where p is momentum and c is the speed of light.
But what I don't understand is how you can calculate momentum without mass? I thought momentum was mass times velocity? The specific example I...
An electron around a hydrogen-atom, with radius r and length of circle a whole number, n, times wavelenght. This implies that
2*3,14*r=n*(wavelenght)
I have read someplace that if you substitute the wavelenght with h/p, you can find the kinetic energy of an electron, which is the same as...
I had this https://www.physicsforums.com/showthread.php?p=3200140#post3200140", which I posted on PF. I got the answer, but then I started thinking more about it and have some theoretical questions.
If you did have this particle of mass m in a box of length L, which you are trying to stop...
This question appeared in my exam .
Q. A bullet of mass 41g travels at 960m/s. what wavelength can we associate with it?
why does the wave nature of the bullet not reveal itself though diffraction effects?
Ans..
i find de broglie wave length by formula
lamda = h/mc
but didnt...
Homework Statement
To "obeserve" small objects,one measures the diffraction of the particles whose de Broglie wavelength is approximately equal to the object's size.
Find the kinetic energy(in electron volts) required by the electrons to resolve
c) a nucleus of size 10fm.
Homework...
I have a few questions:
1. 'small smoke particles in air are seen under a low magnification microscope to move randomly at a speed of 0.10mm/s. The speed of sound in air is 330m/s. Estimate the mass of the smoke particles.
I cannot make the link between speed of particle and speed of sound -...
Homework Statement
An electron in the first Bohr orbit of a hydrogen atom (a_0=5.3*10^-11m) has a KE of 13.6 eV. Express the de Broglie wavelength for this electron in multiples of the atomic circumference.
Homework Equations
lambda=h/p
=h/(sqrt(2mqV)
The Attempt at a...
Homework Statement
What is the de Broglie wavelength of a neutron traveling with a momentum equal to 300 \frac{\text{MeV}}{\text{c}}?
Homework Equations
\lambda = \frac{h}{p}
The Attempt at a Solution
p = \frac{300 \cdot \left( \left(1\times10^6 \right) \times...
What relationship did de Broglie postulate between the momentum of a particle
and the wavelength of the corresponding matter wave?
Explain briefly how a beam of electrons may be used to investigate the atomic
structure of the surface of a metallic substance. Estimate the potential...
I've been studying quantum physics for a little over a semester now and I'm having trouble wrapping my head around the physical significance of matter waves. The derivation also confuses me because it states the momentum of particle with mass as mc, which is only true for a massless photon. I...