All Questions
Tagged with stability atomic-physics
29 questions
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Stability with the Variational Principle
In quantum mechanics you can use the variational principle to find an approximate bound to the energy of some state. My lecturer said that with this method the stability of an $H_2$ atom and a $H^+$ ...
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What makes classical Rutherford model unstable?
Every reference to the classical Rutherford model of atom claims that it is unstable since the electron is radiating energy and so it should collapse into the nucleus.
But I had a confusion with the ...
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Why are orbitals are stable even though they have wierd shapes?
I'm curious to know about why are they stable, let's talk about $p$-orbital , $p$-orbital is dumbbell shaped shouldn't electrons just fall into the nucleus because we need a centrifugal force to ...
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About exchange energy
Electrons of the same spin in degenerate orbitals undergo exchange and make the atom more stable. Why do they release energy during exchange? We can calculate the number of possibilities in which the ...
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Neutron star vs. Islands of stability
"Neutron stars" are said to be almost entirely composed of neutrons. The islands of stability principle recognizes an upper limit to the number of neutrons that can be introduced to an atom. ...
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Were there any explanations as for the stability of matter before the advent of quantum mechanics?
Reading the paper by Lieb "The stability of matter", it is clear from the start that quantum mechanics is absolutely necessary to solve this problem. However, I assume this question was ...
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About why electrons in atom don't radiate(considering wave nature also) [duplicate]
It's said in textbooks that electrons won't radiate and fall into nucleus because matter wave of it's form a standing wave but could somebody explain why being a standing wave it doesn't radiate, even ...
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Are atoms still unstable in 4 spatial dimensions when the physical size of nuclei is accounted for?
Per this answer, depending on a dimensionless parameter hydrogen atoms in 4 spatial dimensions can be either unbound (i.e., nonexistent), stably bound dependent on boundary conditions, or unstable ...
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Electrons remaining in an orbit and the emission of photons?
Electrons are not stationary around a nucleus, even if it remains in the same excitation state / in the same 'orbit'.
As moving electrons should stir the EM field, they should be creating EM waves/...
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Is there a highest possible atomic number?
I know that atoms with higher atomic numbers tend to become more and more unstable and decay quicker the higher the atomic number goes. Is there a limit to this where the time it takes for the atom to ...
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Physics history -- the Ultraviolet Catastrophe [duplicate]
I will ask my question in a way that's all handwaving and no math, and I will welcome handwaving answers. I'm interested in visualizing the concepts.
We had an idea about the atom as a massive nucleus ...
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What actually makes a Bohr's radius stable?
I was told that Bohr introduced the concept of Stationary orbits in which electrons were stable in my school but I never got the reason behind this stability.
So can someone explain why is Bohr's ...
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How to show that an atomic Hamiltonian spectrum is lower-bounded?
I'm looking for a proof that the spectrum of an atomic (or molecular) Hamiltonian is lower-bounded.
Right now, the closest I've got is the proof in [1] that the spectrum of a second-order elliptic PDE ...
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Planetary model of the atom
Wherever I look about the early planetary model of the atom, it says the electron must lose energy while revolving around the nucleus. And therefore fall into the nucleus. Thus, the atom is unstable.
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Hydrogen atom in quantum field theory
In principle, how would we demonstrate the existence of the hydrogen atom in quantum field theory and the standard model?
Has it been done in practice?
Some naive ideas:
Demonstrate that the familiar ...
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Why an electron does not get stuck to nucleus?
An electron remains in its orbit because of electrostatic and centrifugal force. But when a reaction takes place some electrons are gained or removed. Then how they still are stable?
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How do electrons stay in orbitals in Bohmian Mechanics?
I've been reading various realist interpretations of quantum mechanics and in Bohmian Mechanics, I found that the "wave" aspect of a quantum particle is removed from the particle to preserve ...
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How Bohr's model explains the stability of atoms?
How Bohr's model explains the stability of atoms? From Maxwell's equation, we know that an electron or any other charge will radiate energy on acceleration.
This problem is said to be solved by Bohr ...
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How to argue on physical grounds that a function is the ground state of a Hamiltonian?
$u_l(r) = Ar^{l+1}e^{-\kappa r}$ is provided as a solution to the radial wave equation for the Coulomb potential $$-\frac{\hbar^2}{2m}\frac{d^2}{dr^2}u_l(r)+\Bigl[\frac{\hbar^2}{2m}\frac{l(l+1)}{r^2} -...
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The classical electrodynamic atom
What methods have been used to rigorously prove that classical electrodynamics does not admit a robustly stable atom?
The conclusion is often stated and I am aware of the standard responses such as ...
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Will an isolated Helium atom decay if all electrons are removed?
I’m not about a plasma with the possibility of reassembling of the lost electrons. How long a He-nucleus (aka. an alpha particle) will be stable without electrons?
Stimulation for my question was ...
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The stability of an atom
I've read about different models of atom proposed in 18$^{th}$ and 19$^{th}$ centuries, of which the most vital were JJ Thomson's model, followed by Rutherford's nuclear model and then Bohr's quantum ...
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Questioning Stability
Today in class my professor was teaching about Einstein's coefficients and in the talk of excited states in spontaneous emission, he was explaining about meta stability of an atom. This made me ...
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Is this a correct demonstration for why elements above untriseptium cannot exist?
With the confirmation that elements 113, 115, 117, and 118 are indeed fundamental elements that are now to be named on the periodic table, the next question is: what is the highest atomic number ...
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What does the g mean after the isotope given?
I'm familiar with notation such as Sc-44m standing for the meta stable state of Sc-44.
What does Sc-44g mean? There are a few examples of this notation; here's one:
http://iopscience.iop.org/0031-...
- 1,758
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Why don't electrons collide among themselves
The Heisenberg principle states that we cannot ascertain simultaneously the position or momentum of any small particle.
However slight, is there a chance that 2 or more electrons from the same or ...
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Is it possible that every single isotope is radioactive, and isotopes which we call stable are actually unstable but have an extremely long half-life?
I've read that tellurium-128 has an half-life of $2.2 \times 10^{24}$ years, much bigger than the age of the universe.
So I've thought that maybe every single isotope of every single atom are ...
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Possibility of stable muonic structures?
In an analogy to the neutron, which decays rapidly as a free particle, but when bound in a nucleus it is stable, would it be possible to crease a structure that permits the stability of muons - be it ...
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Where did Schrödinger solve the radiating problem of Bohr's model?
One of the problems with Bohr's theory to describe the hydrogen atom, was that the electron orbiting around the nucleus has an acceleration. Therefore it radiates and loses energy, until it would ...
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