Why does a tungsten filament light bulb (or any heated metal for that matter) emit EM radiation (both visible and infrared) - is the EM radiation due to vibration of molecules or electron excitation?
greeting
How exactly the electric force acts .The definition of force is In physics, a force is any interaction that, when unopposed, will change the motion of an object. as the electron circulates around the nucleus of the atom because of that I do not see how that force acts .
If someone, were to theoretically build a microscope that could see an atom what, would the electrons be doing?...would they be orbiting the nucleus at a steady speed or would they be popping in and out of existence in their shells in different locations due to the uncertainty principle?
Homework Statement
Homework EquationsThe Attempt at a Solution
[/B]
Both electrons are in 1s orbit.
For taking out the second electron, I will have to put slightly more energy than 24.6eV.
So, the energy required to remove both electrons should be slightly more than 49.2 eV.
So, I...
Suppose the hydrogen atom consists of a positive point charge (+e), located in the center of the atom, which is surrounded by a negative charge (-e), distributed in the space around it.
The space distribution of the negative charge changes according to the law p=Ce^(−2r/R), where C is a...
Quantum mechanics does a good job in describing the hydrogen atom. Are there any views either mathematically or conceptually in describing the hydrogen atom?
Homework Statement
In hydrogen atom ionization H→p+e show that ##μ_H=μ_p+μ_r##
Homework Equations
G=μN (N is the number of particles)
The Attempt at a Solution
(1) I think the question should say "Find chemical potential relation AT EQUILIBRIUM", don't you think?
(2) My professor said that...
Homework Statement
Homework EquationsThe Attempt at a Solution
E = (13.6 – 3.4 = 10.2)eV = ## \frac {hc } { \lambda } ##
=1.22 * 10^{-5} cm
So, the correct option is (a).
Is this correct?
1. A certain type of atom has only four energy levels, as shown in the diagram. The "spectral lines" produces by this element are all visible, except for one infrared line. The quantum jump that produces the infrared line is:
(see attached file)
A) state 4 to 3.B) state 4 to 1.C) state 2 to 1...
Hello,
The hydrogen atom Hamiltonian is
$$H=\frac{p^2}{2m} -\frac{e^2}{r}\tag{1}$$
with e the elementary charge,m the mass of the electron,r the radius from the nucleus and p,the momentum. Apparently we can factorize H $$H=\gamma +\frac{1}{2m}\sum_{k=1}^{3}\left(\hat p_k+i\beta\frac{\hat...
Say you had two isolated hydrogen atoms. Because of the spherical distribution of electronic charge on each hydrogen and the net charge of 0 outside each atom, wouldn't Gauss's law dictate a 0 net electric field outside each atom? If this is the case, why does diatomic hydrogen so readily form...
Homework Statement
When an electron in a hydrogen atom makes a transiton between two levels with prinicipal quantum numbers n1 and n2, light is emitted with wavelength of 658.1 nm. If we assume that the energy levels of the atom are in agreement with the Bohr model, what are n1 and n2...
[Note from mentor: this thread was originally posted in the Quantum Physics forum.]
I am looking for a way to mathematically express the orbit of an electron around the nucleus of a hydrogen atom, while the atom is stationary as well as in motion.
Note the orbit of the electron is 3...
My question is that why is the negative charge on the oxygen atom with the single bond, why not on the oxygen atom with the double bond? I am confused.
Source: https://chem-net.blogspot.in/2012/01/simple-procedure-for-writing-lewis.html
Homework Statement
A hydrogen atom is in the 7f state.
What is the magnitude of its orbital angular momentum?
Homework Equations
L=sqrt(L(L+1)hbar
The Attempt at a Solution
L= Sqrt(3(3+1)Hbar)
1.41hbar (we want J*S)
1.41*1.054*10^-34
1.47*10^-34J*S
Homework Statement
In the photoelectric effect it is generalley assumed that all the energy is given as kinetic energy to the electron while the atom is neglected. Do not neglect the recoil kinetic energy of the atom and calculate the kinetic energy of the photoelectron and the ionized atom and...
Homework Statement
This is not a homework problem. It's an example in a textbook.
3 electrons.
For ##S=3/2##, we have that
$$
m_{s_1}
= m_{s_2}
= m_{s_3} = 1/2
$$
Therefore by the Pauli Exclusion principle,
$$
m_{l_1}
\neq m_{l_2}
\neq m_{l_3}
$$
and they take the values ##-1,0,1##...
Hi.
From what I read, according to Quantum mechanics "even though it looks like objects are in definite places, when we get down to ridiculously tiny objects (like electrons) they seem to be not he in anyone place. And everything looks like a hazy clouds of probability."...
Homework Statement
https://imgur.com/a/8deZc
Homework Equations
P(E) = ∫φ*(r)ψ(r)dr from -∞ to ∞
The Attempt at a Solution
To find the probability, I know I have to use this equation:
P(E) = ∫φ*(r)ψ(r)dr from -∞ to ∞
My question is, what is the energy eigenstate, φ*(r)? Is it the measured...
The quantum physicists claim, that an electron has been 'smeared out' in the space around the nucleus.
So it seems an electron in the atom is present everywhere at once.
Is the next interpretation acceptable?
The electron moves with many km/s in an extremely small space.
In photography it...
Hi
I'm Dan and new to Physics forums! I'm planning on posting something tomorrow on an alternate theory for the structure of an atom... I thought I would start with something light ;-)
By day I'm a Product Owner and have established several successful and unsuccessful companies! I'm...
Hi
Q1:
I was reading about ultraviolet catastrophe and it was said that atoms were assumed to be harmonic oscillators of radiation.
I believe that two harmonic oscillators could have the same frequency but different amplitudes so it would mean that two different atoms (i.e. two harmonic...
Homework Statement
Homework EquationsThe Attempt at a Solution
Let's consider the primitive model of atom i.e. the nucleus is surrounded by an electron cloud.
Let's say that the nucleus has charge qa and it moves a distance d from the center in the equilibrium position.
## E = \frac {kq}...
Homework Statement
Homework EquationsThe Attempt at a Solution
##\rho = b r
\\E =\frac { k r^2} {4ε_0}
\\ p ∝ E^a
\\E \left ( r=d \right ) = \frac { k d^2} {4ε_0}
\\ p = q d
\\ d ∝ d^{2a}
\\a = ½
\\p ∝ √E ##
PART B
##\rho ∝ r^n
\\E ∝r^{n+1}
\\ p ∝ E^a
\\d ∝d ^{{n+1}a}
\\## For eq. 4.1 to...
If we do electrolysis, using a potassium electrolyte in water, the Na+ ions turn into Na atoms at the cathode. The question is, how long, on average, will it take for the Na atom to react with water and form a Na+ ion again?
Hey all,
I am looking for a reference that derives the optical Bloch equations for a two-level system driven by two near-detuned monochromatic radiation sources. Specifically, I am looking to substantiate a result I derived by following the same procedure as for a two-level atom driven by a...
Hello!
How do I find how much energy does electron radiate during one revolution if the energy radiation rate is given by Larmor Formula: dE /dt = [(− 2/3)* e2* a2]/ c3. Should I use the chain rule? At the moment I only want a hint how to solve this.
With best regards
I was reading that one of the successes of the Dirac equation was that it was able to account for the fine structure of some of the differences in the spectrum of the hydrogen atom.
But the Dirac equation is about subatomic particles moving at relativistic velocities. But an electron around the...
Hello mates. I was doing some research about Rydberg atoms, and I came up with this question: what's the energy of an electron in n energy level in an atom which is NOT hydrogen-like, that is, an atom with more than 1 electron? How can we calculate it?
What if the electron we are studying is in...
I read a page about making atom under absolute zero.
https://www.livescience.com/25959-atoms-colder-than-absolute-zero.html
I don't understand very much, if you know pleas help me. Thanks!
For electron scattering experiment which measures charge radius of the nucleus, it's said that energies of scattering electrons (or protons) must be such that their wavelength size is of the same order as nuclear dimensions. While i understand why this must be true I'm not entirely sure. My...
1. Homework Statement
A simple model atom is composed of a point-like nucleus with charge ##+Q## and an electron charge distribution
$$
\rho(\vec{r})=-\dfrac{\left|Q\right|}{\pi a^2 r}exp(-2r/a)
$$
where ##a## is a constant. Show that the ionization energy (the energy to remove the electron to...
Homework Statement
An electron in a hydrogen atom does not fall to the proton because of quantum motion (which may be accounted for by the Heisenberg uncertainty relation for an electron localized in the volume with size r). This is true because the absolute value of the Coulomb potential...
The radiation of an atom was interpreted by time-independent schrodinger equation:electron was transformed from high energy level state to lower and emit a photon.Could we treat this process through a wavefunction ##{\psi}(t)##? Before emiting,the system's wavefunction is ##{\psi}(0)## and after...
Hi, I am trying to simulate in 3D a bunch of chemical reactions. Some of them are complex and I would like to be able to just spawn the elements and molecules and watch them collide to see what happens. Is their any free software to do this?
Homework Statement
A hydrogen atom collides with another hydrogen atom at rest. If the electrons in both atoms are in the ground state, what is the minimum kinetic energy of the hydrogen atom such that the hydrogen atom at rest will have its electron in the first excited state after collision...
Hi folks,
I am reading "Purcell Electricity and Magnetism" and in the problem 1.77 he says:
"
Imagine a sphere of radius a filled with negative charge of uniform
density, the total charge being equivalent to that of two electrons.
Imbed in this jelly of negative charge two protons, and assume...
Homework Statement
A hydrogen atom transitions from ni= 5 state down to the ground state.
a) What is the energy of photon emitted from the transition of the hydrogen atom?
b) What is the ratio of the momentum of the emitted photon to the momentum of an electron which possesses the same kinetic...
Hi, I've just gotten started with basic quantum physics in physics class and we've just talked about ionization energy. It is stated that the energy of a hydrogen atom is -13.60eV (or -2.179aJ). I assume this is the potential energy (and that this is the reason the atom has a lower mass than the...
In the virial theorem the numerical value of the average potential energy within a system is exactly twice that of the average kinetic energy. I know the theorem is proved mathematically but to me it seems a coincidence that one value is exactly twice the other value. I find that interesting.
I...
Lets suppose that I have a magnetic dipole moment at (0,0,0) pointing to the Z axis, and in the position (X,Y,Z) in the space, I have a Hydrogen atom, I would like to know the exact interaction between the magnetic field created by the magnetic dipole moment in (0,0,0) and the magnetic fields of...
Homework Statement
I have already solved the problem, but I don't really understand why the orbital angular momentum in the z-direction has to be taken to 0 ?
Homework EquationsThe Attempt at a Solution
Suppose the component of orbital angular momentum in the z-direction is...
Homework Statement
Suppose there is a deviation from Coulomb's law at very small distances, with the mutual Coulomb potential energy between an electron and a proton being given by:
$$V_{mod}(r)= \begin{cases} - \frac {e^2} {4 \pi \varepsilon_0} \frac {b} {r^2} & \text {for } 0 \lt r \leq b \\...
I am familiar with the usual solution of the hydrogen atom using the associated legendre functions and spherical harmonics, but my question is: is it possible to extend the hamiltonian of the hydrogen atom to naturally encompass half integer spin?
My guess is that spin only pops in naturally in...
Homework Statement
Calculate ##\left< \frac 1 r \right>## and ##\left< \frac 1 {r^2} \right>## and the expectation value and uncertainty of the potential energy of the electron and proton for a hydrogen atom in the given state.
The given state is:
$$ \psi_{2,1,-1} \left( r,\theta,\phi \right)...