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Questions tagged [binding-energy]

Please use binding energy in the context of the atomic scale and/or atomic systems. This can be used in nuclear reactions.

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Effect of Compression/Tension on the Rest Mass of an Elastic Solid

If I compress an elastic solid I will strain the material in the direction of the force and therefore do work that is stored as potential energy in the material. The resulting material will have no ...
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2answers
60 views

How is mass of neutron compared with proton when it is inside the nucleus? [on hold]

The mass of free neutron is around 0.1% more than the mass of proton. When it is bound inside the nucleus, neutron mass is less compared to its mass in free state. The question is how much mass it ...
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2answers
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Strong force and radioactivity [duplicate]

Why does adding more neutrons to an atom unstabilise it? Won’t adding more neutrons increase the strong force and thus knit the nucleus more tightly? Or is it because it’s being added in a particular ...
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About nuclear energy levels

The energy level of a heavy atomic nucleus such as that of uranium, which is related to the zeta function, is determined by taking a discrete value, but cannot it be represented by an equation like an ...
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The energy level of electrons is known as $- hcR (Z ^ 2) / (n ^ 2)$, but what kind of formula is the energy level of the atomic nucleus? [duplicate]

The energy level of electrons is known as - hcR (Z ^ 2) / (n ^ 2), but what kind of formula is the energy level of the atomic nucleus?The energy level of electrons is known as - hcR (Z ^ 2) / (n ^ 2), ...
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4answers
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Difference between Mass Number and atomic mass unit (AMU)

I am struggling to understand the difference between Mass Number and atomic mass unit (AMU). I read several posts on this site but still confused. Mass Number seems like a number (i.e. number of ...
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1answer
71 views

Impact of electronic binding energies on mass

According to relativity, the inertial mass of an object that enters into the force equation to get acceleration is given by the total energy in the center of mass rest frame. $$E=Mc^2=\sum_i (m_i c^...
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Why does the binding energy curve ever decrease?

So the way I understand binding energy is that if I have two nucleons and I let the come together, they’ll decrease their potential energy as they move closer and this will speed them up as they’re ...
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Why is iron the peak of the binding energy curve?

If Nickel-62 and Iron-58 have more binding energy per nucleon than Iron-56 does, then why is iron-56 shown as the peak of the binding energy curve? Also, does adding neutrons always make the atom more ...
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Why Don't All Heavy Elements Decay into $^{62}\rm Ni$?

I read the question If we assume that protons don't decay, then will all matter ultimately decay into Iron-56 or into nickel-62?, but I have a different question concerning the decay that has ...
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How does binding energy change as more fermions interact?

The subject is few-body quantum mechanics. Given a system of $N$ identical fermions (spin 1/2) interacting through pairwise potentials $V_{ij}$, how does the binding energy change between $N$ and $N+1$...
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Why do fusion and fission both release energy?

I only have high school physics knowledge, but here is my understanding: Fusion: 2 atoms come together to form a new atom. This process releases the energy keeping them apart, and is very energetic. ...
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1answer
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Stability in Nuclear Shell Model

As far as I understand , a particular sub-shell is filled with either protons or neutrons, $2*(2l+1)$ number of them, and never both together since protons and neutrons fill up levels separately in ...
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1answer
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Binding Energy and mass defect

Binding energy is the energy required to separate the nucleus into its constituent particles. The thing is that I read in a book that the binding energy is also the energy equal to the mass defect. ...
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2answers
206 views

Why does a star die once it has iron?

I found out that iron is the death element for stars, but I couldn't find why can anyone knowledgeable on stars explain why iron causes the star to die?
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Is this equation for mass defect correct? [duplicate]

I just want to know if this equation for the mass defect is correct $$\Delta m = Z * m_p + Z * m_e + N* m_n - A $$ where Z- Atomic number A- Mass number N- number of neutrons $m_p$- mass of the ...
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1answer
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Do we know what causes the release of energy in nuclear fission?

I was trying to put together all the things I've read in the last couple of days and I realized that based on my current knowledge of the standard model and the way nuclear fission works, I'm not able ...
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2answers
97 views

What is more massive, Proton, standard Hydrogen?

If you consider the classical states of hydrogen, one in which the electron is rotating at an orbital distance of $r$ and then take $\lim_{r\to\infty}$ one obtains that the $r_\infty$ state has more ...
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1answer
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What is the binding energy between conduction band and valence band of metals and insulators?

As far as my understanding of solid state physics goes, I can't see a clear connection between binding energy and band gap. But our teacher asked us the question as an assignment but i really can't ...
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2answers
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Accurate Equation for Earth's Gravitational Binding Energy

This is a relatively important question for anyone who can answer it. I am trying to find the equation that accurately solves for Earth's Gravitational Binding Energy. The information below is from ...
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2answers
63 views

Binding Energy and Energy Mass Equivalence

Consider a neutral atom. An external force acts on one of its valence electron so that it brings this valence electron to infinity away from the rest of the atom. The electron's kinetic energy does ...
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1answer
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Relationship between binding energy of atoms in a solid and compressibility defined by bulk modulus

Consider an atom which has η nearest neighbours. The equilibrium binding energy $L_0$ of $N$ atoms is: $$ L_0 = \frac{Nηϵ}{2} $$ The bulk modulus $K$ of a solid of volume $V$ compressed under pressure ...
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How fast do nuclei need to be traveling when colliding for them to break apart? [closed]

I don't mean fission or fusion reactions with uranium or such. I mean gold or lead or even hydrogen collisions, such as in these particle colliders or outer space, wherein the nuclei seem to touch, ...
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1answer
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Binding energy of the nucleus

In a reaction U235+1n->141 Ba +92Kr +(3) 1n+200MeV, the energy released (200Mev) is of one atom or of 6.023*10^23 atoms?
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Why is the kinetic energy of an electron in a hydrogen atom at $n=2$ level, the negative of its total energy?

My textbook [1] says in order to determine the De Broglie wavelength of an $e^-$ in a hydrogen atom at energy level $n=2$, we can determine its kinetic energy first by finding its total energy from $E=...
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A question about Helium spectrum

I'm starting to read about two-electron atoms from physics of atoms and molecules by Bransden. Analyzing Helium spectrum I noticed that the energy of $He^+(1s)+e^-$ is greater than the energy of He, ...
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4answers
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How exactly does nuclear reactor work in generating energy, when the energy created from fission transformed into binding energy?

I asked this question because I'm a bit confused about the concept of binding energy. From my understanding, in a nuclear reactor, Uranium-235 atoms are bombarded with neutrons so that fission ...
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2answers
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What is the relationship between binding energy / mass number as a function of mass number?

Specifically, in this figure, which shows the binding energy per nucleon of β-stable nuclei, what is the main contribution to the increasing value of B/A at low values of A? And what is the main cause ...
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1answer
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When you see the atomic mass number for an element, does it take into account the atomic mass defect?

Sometimes I read that the official atomic mass number for an element on the periodic table only includes natural isotope ratios, other times I read that atomic mass defect, number of electrons, etc. ...
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3answers
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Relativistic mass of components gives system rest mass?

To put it briefly, in the classic thought experiment of a massless box with mirrored insides containing photons, does the relativistic mass of the photons imbue the box with rest mass? I take it that'...
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2answers
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Does the strong force increase or decrease with aligned spins?

The deuterium exists only with the proton and neutron of aligned spin, which suggests that the residual strong force is greated with aligned spins, i.e. the binding energy is greater if the spins are ...
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2answers
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How does Pauli exclusion principle cause the coupling term in Weizsäcker formula?

Consider the pairing term in Weizsäcker formula. Here it is claimed that: Due to the Pauli exclusion principle the nucleus would have a lower energy if the number of protons with spin up were ...
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5answers
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Why mass of nucleus decreases after binding of it's components (protons and neutrons)? [duplicate]

Nucleus mass should be equal to sum of mass of protons and neutrons, but after binding of these particles, its mass is reduced. Why? Due to reduced mass of protons or neurons? Then what's the purpose ...
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2answers
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If a nucleus is radioactive, will another nucleus with lesser binding energy be necessarily radioactive?

Consider two nuclei A and B. Let the binding energy of A is less than the binding energy of B (i.e., A is unstable compared to B) and B is known to be radioactive. Does it mean that A also has to be ...
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2answers
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How is energy actually extracted from fission?

Every source I can find right now just says something like 'energy/ heat is released by nuclear fission' but I can't find a description of the specific mechanism. I know that the energy 'conversion' ...
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2answers
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Why do heavy unstable nuclei emit nuclei with high BE?

'Heavy unstable nuclei are likely to emit helium because it has a high binding energy'. Why is this? If a nucleus has a high binding energy than I thought that meant it has a lower mass than its ...
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Binding energy of the daughter nucleus

In radioactivity, the total binding energy of parent nucleus must be greater than the daughter nucleus. In alpha decay, uranium has greater binding energy because it is large but in beta plus decay (...
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3answers
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Are free electrons truly free?

As this diagram shows, energy levels get closer together as they get higher. Is a free electron then truly free? Or is it in such a high (bound) state of energy that the transitions become nearly (but ...
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Why is energy emitted when nucleons come together?

In terms of nuclear fusion, why exactly does the coming-together of nucleons result in a net gain of energy (at least until iron)?
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Control of Nuclear Fission

What is it precisely which prevents current technology in nuclear fission from controlling the size of fission products; in other words, why is it not feasible, presuming that such an approach would ...
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Do all binding energies work like the exchanging force of photons but just in different strengths? [closed]

Do all Binding Energies use the same force but in different strengths?
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Nuclear stability [duplicate]

Why does increasing the number of neutrons in a nucleus make it more unstable? I know that adding more protons increases electrostatic repulsion, therefore the nucleus is more unstable, but as ...
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0answers
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Unstable nuclei [closed]

I have been given three nuclei, $$\left(i\right)\:^{26}_9F\:,\:\left(ii\right)\:^{63}_{32}Ge,\:\left(iii\right)^{94}_{47}Ag.$$ For each nucleus I have to determine what makes it unstable. For the ...
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1answer
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Are there bound states from light-light or gravity-gravity scattering in general relativity?

Is the formation of bound states from light-light scattering or from the scattering of gravitational waves possible according to general relativity? If it's possible, are there papers out there about ...
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1answer
107 views

How can I determine which element is found from an electron count vs binding energy graph

I am given tables of data that I have made into graphs with electron count vs binding energy. The goal of this assignment is to determine the element of the surface material using data that was ...
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3answers
652 views

Why doesn't hydrogen have a neutron?

Why doesn't hydrogen have a neutron?
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1answer
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Is the change in mass during alpha decay a change in rest mass?

Energy is released in alpha decay as kinetic energy as the sum of the masses of the nuclei formed is less than the mass of the parent nucleus. However as the nuclei formed have kinetic energy their ...
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1answer
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What is the difference between atomic mass and mass number?

As total number of nucleons in nucleus is equal to mass number. And is also called atomic mass number. I want to know that is there any difference between the two? Because in nuclear reactions mass ...
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Can I use this example for binding energy

From what I understand, no particles are converted to energy during a nuclear reaction. Could I use the following analogy?: 4 billiard balls are rolled into a bowling ball one at a time. Each ...
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1answer
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What $E=mc^2$ has to do with nuclear formation?

I am a bit confused that what actually the Einstein's equation meant to describe binding energy wht is that $c^2$ for as when nucleon combine what is the need of speed of light in equation?