Binding energy Definition and 262 Threads

  1. J

    What is the Einstein relationship for calculating nuclear binding energy?

    I was reading over some nuclear physics and I came across the binding energy of a nucleus. The equation is Eb=[ZM(H)+Nmn-M(AZX)]x931.494 MeV/u I remember seeing this and using this in class when I took it over a year ago but I can't remember exactly how to use it and I see no examples in the...
  2. H

    Why is high exciton binding energy in ZnO important?

    The title says it all. I'm doing a presentation on ZnO nanoflowers, and one article says that the bandgap of 3.3eV in combination with the high exciton binding energy of 60meV makes ZnO promising for optoelectronic applications. The bandgap I understand, what property does the exciton binding...
  3. M

    Binding Energy and Muon Interactions in Deuterium Gas

    1. Hello, I have some questions on my homework which are not so clear. The professor asked for " since the binding energy of the D-μ(it is muon) is much bigger than that of ordinary deuterium atom De, explain what will happen if a beam of muons is directed through a gas of ordinary De atoms...
  4. B

    What has bandgap gotta do with binding energy and stability?

    Hi, Could someone clarify the following statement please? "ZnO has a bandgap of 3.4 eV at room temperature and a free exciton binding energy of 60meV which is much larger than the room temperature thermal excitation energy (25meV) making them stable at rtp." Does it mean that at rtp, we...
  5. K

    Binding energy and radiactive decay?

    We are studying nuclear physics right now and I don't quite understand the concept of binding energy. So, as I understand it binding energy is the work done to remove the nucleons which are bound together by the strong nuclear force. But then during radioactive decay, when you do the equations...
  6. X

    Magnetic moment and binding energy

    I ran across the fact that the magnetic moment of the neutron is approx 9.66e-27 J/T. When I plug it into the formula for attractive/repulsive force between 2 magnetic dipoles within 1 femtometer of each other (nuclear dimensions) I get almost 9000N, and the energy to separate them (if...
  7. C

    How Do Binding Energies Compare Between Nucleons and Electrons in Deuterium?

    Homework Statement a) Calculate the average binding energy per nucleon in the deuterium nucleus. b) The energy that binds an orbiting electron to the hydrogen nucleus is 13.4eV. Calculate the ratio of the binding energy per nucleon to the binding energy per electron in deuterium. Which...
  8. T

    Elementary question of binding energy

    Hello! I asked this question in Physics section but no one replies so i think it is more a chem question. When it is given that the interacting energy between 2 ions in a crystal is U, is the binding energy W(for 1 atom) equal to U? i.e. U=W? I think it's a reasonable guess;but i also...
  9. A

    Calculating Binding Energy of Deuterium Nucleus

    Homework Statement {a} Calculate the average binding enrgy per nucleon in the deutrium nucleus {b} The energy that binds an orbiting electron to the hydrogen nucleus is 13.4 eV. Calculate the ratio of the binding energy per nucleon to the binding energy per electron in deutrium. Which...
  10. R

    Electron capture, electrons binding energy

    Homework Statement Hello! I am doing some calculations with electron capture for the reaction \stackrel{196}{79}Au\stackrel{EC}{\rightarrow}\stackrel{196}{78}Pt The Q-value for the reaction is Q=[m(\stackrel{196}{79}Au-\stackrel{196}{78}Pt]c^2-B_{n} where B_{n} stands for electron's...
  11. P

    Calculate Binding Energy & Equilibrium Sep. of Na+/Cl- in NaCl

    Homework Statement The question is; The interaction energy between Na+ and Cl- ions in a NaCl crystal can be written as: E(r)= -A/r + (B/r^8) where A = 4.03 x 10^-28 J.m and B = 6.97×10^-96 J.m^8. The energy is given in Joules per ion pair. (a) Calculate the binding energy (E0) and...
  12. P

    Why does binding energy affect the mass of quarks, but not protons and neutrons?

    Why is it that the binding energy creates mass in the case of quarks but depletes mass in the case of protons and neutrons? Am i mistaken?
  13. P

    What is the binding energy of a protium nucleus?

    what is the binding energy of protium (hydrogen-1) nucleus? As i understand binding energy, it is the energy required to bring two nucleons from infinity to a stable state in a nuclues but if there is only one nuclide in a nucleus how do we determine the binding energy for that nucleus?
  14. L

    Exploring Binding Energy: Fusion & Fission

    Homework Statement the lesser amount of binding energy for lighter and heavier nuclei explains fusion and fission. It has been mentioned large amount of energy is released during fusion and fission due to this low binding energy. i can't understand the concept. binding energy is the the...
  15. P

    Binding Energy given a function?

    Homework Statement The binding energy of a two-particle system is defined as the energy required to separate the two particles from their state of lowest energy to r=infinity. The potential energy of the two atoms in a diatomic (two-atom) molecule can be written U(r)=-a/(r^6)+b/(r^12) where...
  16. K

    EM and Gravitational binding energy for quarks

    Hi guys, If I have a \Sigma triplet of baryons, how do I calculate the EM and gravitational binding energy of these baryons? (assuming there is 1fm of distance between quarks and that each quark has 1/3 the mass of the \Sigma), I guess I have to use the EM and Gravitational Potential...
  17. T

    Calculating the Binding Energy of 12C

    Homework Statement What is the binding energy of 12C ? (the 12 is meant to be the nucleon number of C) Homework Equations E=mc^2 The Attempt at a Solution I am not sure how to calculate the mass defect. Do i take into consideration of the protons, electrons and neutrons?
  18. V

    Binding energy after fission and fusion

    I've read the following: The total binding energy after fission and fusion decreases. Does that sound right to you? Can you please give me some explanation also? Or direct me to webpages for further understanding of binding energy in the context of fusion and fission. Thanks
  19. H

    Binding energy vs Kinetic energy

    Homework Statement My lecturer writes the following in his lecture notes: " There is a binding energy between the particles. Different states can then be characterised by the kinetic energy of the particles. For solids, k.e. << binding energy (looks like SHM) For liquids, single bond...
  20. A

    Calculating the binding energy of a black hole

    Hi. I tried to calculate the gravitational binding energy of a black hole, but I suspect that I did not do it correctly. I used the following formulae: black hole radius (Swarzschild radius): R(m)=\frac{2Gm}{c^{2}} gravitational potential energy for separating two masses from...
  21. M

    Confused about nuclear binding energy

    hi there, now I've been googling around for ages now trying to find this answer but i cant i have read time and time again that a nucleus always has less mass than the sum of the masses of the nucleons in it. This is put down to the binding energy, this is where i get confused surely if it...
  22. C

    Comparing Binding Energy: Electron vs. Neutron

    Homework Statement The energy that binds an orbiting electron to the hydrogen nucleus is 13.4 eV. Calculate the ratio of the binding energy per nucleon to the binding per electron in deuterium. Which particle is held more tightly, the electron or the neutron? Homework Equations using...
  23. J

    Understanding Binding Energy and Mass in Nuclear Reactions: A Basic Guide

    Very basic questions, since I don't know anything about anything. What do we mean by a particle's mass, and how can we measure it? This is with regards to measuring mass defects after a nuclear reaction. (We may as well just define mass as the number that comes out after doing a certain...
  24. R

    Mass Defect of Hydrogen-2 Electron Binding Energy

    Homework Statement : the binding energy for the electron in the ground state of hydrogen-2 is 13.6ev what is the corresponding mass defect of the hydrogen atom in amu (atomic mass units) not sure if you need atmoic mass of the hysgrogen atom its given to be 2.014102u Relevant equations: not...
  25. K

    Which is Greater: Binding Energy Per Nucleon of Parent or Daughter Nucleus?

    Homework Statement A nucleus of mass M + m1 is at rest and decays into two daughter nuclei of equal mass M/2 each. The binding energy per nucleon for the parent nucleus is A and that for the daughter nucleus is B. Which is greater A or B? Homework Equations Binding energy per nucleon=...
  26. L

    Calculations Involving Binding Energy of Nucleus

    Homework Statement The binding energy of a nucleus is given by: E_{b}=a_{1}A-a_{2}A^{\frac{2}{3}}-a_{3}Z^{2}A^{-\frac{1}{3}}-a_{4}\left(Z-\frac{A}{2}\right)^{2}A^{-1}\pm a_{5}A^{-\frac{1}{2}} For a given set of isobars, A constant, E_{b} will be maximised at the value of Z that satisfies...
  27. Q

    Binding energy and endothermic reactions

    from masteringphyics.com, ||\\\\\\\\ the binding energy of a nucleus is defined as the difference between the rest energy that the individual particles would have if they were not bound in a nucleus and the rest energy of the nucleus itself. So, stated another way, fusion reactions are...
  28. W

    Binding energy of the alpha particle

    Homework Statement Calculate the difference between the binding energy of a nucleus of carbon 12 and the sum of the binding energies of three alpha particles. Assuming the carbon 12 is composed of three alpha particles in a triangular structure, with three effective "alpha bonds" joining them...
  29. W

    Find the binding energy of hydrogen

    Homework Statement Calculate the mass corresponding to the binding energy of an H atom. What fraction of the mass of the atom is this? Homework Equations BE=(mp+me-mH)c2 The Attempt at a Solution I couldn't figure this one out, so I searched for the answer online, and it's...
  30. S

    Binding energy of an electron in an excited state?

    Homework Statement How much energy is required to remove an electron from a hydrogen atom in a state with n = 8? Homework Equations E = - (1 / 4pi*epsilon_0)(me^4/2(h-bar)^2)(1/n^2) Where E is the total energy of the electron. The Attempt at a Solution I know that if you solve...
  31. V

    What is the Potential Height for Separating N2 Molecules?

    Homework Statement Show that the potential height (energy required to separate 2 nitrogen molecules from each other) for N2 is ~ 0.01eV, given that latent heat of evaporation is 210 Jg^-1 and molecular weight is 28 for N2. Homework Equations I'm thinking that this equation might be of...
  32. K

    Exploring Decrease in Binding Energy per Nucleon in Heavy Nuclei Like U-235

    Homework Statement . Why does the binding energy per nucleon decrease with increase in mass number for heavy nuclei like 235 U? Homework Equations The loss in energy of the nucleons when they move from an unbound state to a bound state is the binding...
  33. K

    Binding energy per nucleon for atoms of low mass number

    Could someone please explain to me as to why the binding energy per nucleon is lower for atoms of low mass number as compared to the atoms in the middle zone of the binding energy per nucleon versus mass number graph? My conceptual issue lies in the fact that when the mass number is low the...
  34. R

    Why Is the Binding Energy of a Satellite Equal to Its Total Energy?

    Homework Statement If an orbiting satellite has a total energy of -1.4 x 1012 J, then the binding energy is... b. 1.4 x 1012 J Homework Equations Eg = (-GMm)/r Binding energy = (GMm)/2r The Attempt at a Solution I was just wondering why the answer is 1.4 x 1012 J. Thanks
  35. Dadface

    Is the electron and proton's mass affected when they form an atom?

    Nucleons are less massive when in the nucleus than when they are separated,atoms are less massive than the particles which make them up,these differences being explained in terms of binding energy.Does this mean,for example, that the electron and proton both lose mass when they come together to...
  36. E

    Binding energy calculation of a nucleus

    Hello, I'd appreciate feedback on my calculation of binding energy, just wanted to check if I'm on the right track w/ regards to calculation steps (and thought process). I'll try to be as clear as possible, please give me input if there's some notations / steps I should correct and keep...
  37. J

    Total Binding Energy: Determining Electron Count

    When determining the total binding energy of an atom I understand the method to be as follows: The total mass of all nucleons added together minus The total mass of the atom minus the mass of the electrons My question is, how do you determine the number of electrons in an atom? All...
  38. S

    What Can the Gravitational Binding Energy Equation Tell Us?

    I read about the gravitational binding energy and I figured out how to derive it but what is the significance of it, what does it tell us? It also says something about the suns internal energy, how would I find this? Gravitational binding energy equation U=\frac{3GM^{2}}{5R}
  39. N

    Mass deflect and binding energy

    Homework Statement Energy is required to separate a nucleus into its constituent nucleons. this energy is the total binding energy of the nucleus. for example, separating nitrogen-14 into nitrogen-13 and a neutron takes an energy equal to the binding energy of the neutron. use the following...
  40. A

    Solving Binding Energy Problem of 147N

    Homework Statement Problem: Calculate the binding energy of 147N (nuclear mass of 13.999234 amu) in Joules per nucleon. According to periodic table, the mass of N is 14.0067 amu. Homework Equations E = mc2 The Attempt at a Solution Calculate mass defect: 13.999234 - 14.0067 =...
  41. N

    Binding energy per nucleon / fission / fusion

    What I'm looking to understand is why fission and or fusion result in the release of energy. I understand that: By looking at the Binding Energy per Nucleon Curve, due to the strong force acting at very small length scales and falling off as 1/x^3 and the electro-magnetic repulsion of the...
  42. A

    Explaining Decreasing Binding Energy of Outermost Electron in Alkali Atoms

    I know this question is fairly easy, but I'm completely flabbergasted by it. I'm sure it has to do with the Ionization energy, I'm just really confused by the negative values for the binding energies. Anyway here is the question. The absolute value of the binding energy of the outermost...
  43. N

    Binding Energy per Nucleon (Fission)

    Homework Statement By analyzing the Binding Energy per Nucleon Curve, and using the equivalence factor 1amu=931.4 MeV, show that a U fission frees energy equivalent to 0.2 AMU. Homework Equations E=mc^2 A fission I picked: U-235 + slow neutron ---> 141/56 Ba + 93/36 Kr + 2n...
  44. B

    Does binding energy mean energy has a mass?

    Is the Mass Defect in the atom due to the Binding Energy and does this account for that small amount of mass? does this mean that it contributes to the atom's mass and has a mass itself?
  45. L

    Finding binding energy from equilibrium bond length

    [b]1. The equilibrium bond length of the He dimer is 2.97 angstroms. What is the binding energy in kJ/mol for this dimer? Would be dimer be stable at room temperature T= 300K (Hint: compare the binding energy to kT) [b]2. interaction potential for the dimer: V(r) =...
  46. B

    Calculating Binding Energy for Hydrogen Positron Emission

    Homework Statement Find the binding energy for hydrogen in kJ/mol through positron emission. 4(11H) → 42He + 2(0+1ß) Homework Equations E=Δmc2 Mass of Hydrogen: 1.0079 amu Mass of Helium: 4.0026 amu 1 amu = 1.6605 x 10-27kg The Attempt at a Solution Here is what I did: Eb=...
  47. N

    Calculating Binding Energy of Neutron in 14N

    Homework Statement Calculate the binding energy of a neutron in 14N Homework Equations E=mc^2 delta m * 1u + E The Attempt at a Solution The mass of Nitrogen (from periodic table): 14.007amu Calculated mass of N: 7 protons (7 * 1.007277amu) + 7 neutrons (7* 1.008665amu) +...
  48. R

    The gravitational binding energy of the Milky Way?

    Does this even make sense? Just how immense would that be?
  49. T

    Exploring the Binding Energy and Gluons: What Holds Nucleons Together?

    What actually holds nucleons together? Is it gluons from quarks (ie the strong force), or the mass defecit in total nucleon mass (binding energy)? How does one differentiate between these? Regards in advance
  50. L

    Question about nuclear fission/fusion and binding energy

    So, i know that during nuclear fission, a heavy particle is split into two smaller ones that have a higher specific binding energy. And i know that a certain amount of mass is transformed to energy for the binding. The same thing happens during nuclear fusion. However, from my intuitive (and...
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