KitemanSA wrote:Right, which is the total energy RELEASED by the nucleus during the reaction.D Tibbets wrote:Again, the mass defect represents just that, the mass equivalent of a nucleus that is not measured on a scale. That is because it is in the form of energy. The total binding energy in fact.Axil wrote:Here is a post from the nextbigfuture that shows a positive energy production from NI58 to CU63 When you go through the calculation, you get positive energy output.Becasue that is its definition. Why you can't understand that is beyond me.D Tibbets wrote:Why people believe that this energy represents some released energy is beyond me.No, the binding energy is the energy RELEASED. The remainder up to the ~14MeV is the part that stays with the nucleus as part of it's mass.D Tibbets wrote:It is a part of the nucleus. The nucleus cannot exist without this incorporated energy- it is the binding energy - a part of the nucleus.Dan, I begin to believe you are hopeless.D Tibbets wrote:A lead rock sitting on the ground doesn't release any more energy than a lithium rock sitting on the ground. The lead rock has a lot more mass in the form of neutrons and protons and electrons, and binding energy, but that means nothing in this static situation. If you apply kinetic energy (an equal shove on both) it will not have any more energy than the light rock. If you divide up the mass in the lead into that represented by neutrons and protons, and mass deficit or binding energy, the total does not change. The binding energy may have increased, but this is a part of the nucleus, not the energy released in the formation. The total binding energy is simply the missing mass or the change in the balance between the defined masses of the particles in isolation and their mass within a nucleus. The mass- energy total does not change, only the ratio.
Go back to the empirical binding energy equation you linked to before. Notice that the FIRST term is a positive term of about 14MeV and the rest (except the final) are negative. Those NEGATIVE terms are what you are calling (inaccurately) the binding energy. Those terms relate to the amount of mass that DOESN'T go deficit upon a reaction. If no energy was absorbed by stretching bonds and going into surface tension, then each and every nucleon added would release 14MeV. But they don't. They release somewhat less, but still positive. Each and every time you add a nucleon.The binding energy per nucleon is by definition the amount of matter lost in the sum total of all reactions that make up the nucleus divided by the number of electrons. It is by Einstein's equation, the amount of energy lost (released) by the sum total of reactions divided by the number of nucleons.D Tibbets wrote: The binding energy per nucleon is a different matter.
DAN LISTEN, DON'T TRY TO MAKE IT ANY HARDER!!! It is just that simple. E=Mc². Mass deficit = energy released. This is called "binding energy". All those other terms (surface tension, couloum repulsion, symmetry) REDUCE the binding energy.Seems it just makes it more confusing to you since you just refuse to get it.D Tibbets wrote:This experimentally derived table/ graph is less confusing (for me) if you consider it as the packing fraction, or nuclear density. Ni62 is the most tightly packed due to the interactions between the strong but short range Strong nuclear force, and the relatively weak but long range Electromagnetic repulsive force.Dan, if you start condsing something, it may be the mopst compact form, but you continue to release energy from the least compact for if you condense it onto the unit. Same with nuclei. 62Ni may be the most dense, but it plus a proton are MUCH less dense that 63Cu. And it is the PROTON (or neutron) that releases the energy, NOT the nickel.D Tibbets wrote: Nuclear physic sometimes uses a liquid model (or gas) to describe things. As you compact/ increase the density of a fluid, the temperature increases (energy is released), as the fliud/ gas expands heat is absorbed. This is the same for nickel62. It is the most dense collection of nucleons possible for this consideration (neutron stars is different physics).
KitemanSA, you obvously do not consider my arguments as reasonable, so I will not present new ones, instead I will only give you referrals that you can persue if you truely wish to understand the issue.
First read this reference carefully, I think it may be the most enlightening discussion of the terms and significance that I have found (Warning- you can read the text, but if you run the associated demonstrations, you may be required to register.)
http://www.furryelephant.com/content/ra ... ss-defect/
A whole bunch of binding energy/ nucleon graphs with links to the articles that discuss them. Click on the graphs to go to the links. Looking through these imparts a lot of knowledge.
http://www.google.com/search?q=nuclear+ ... 16&bih=591
Some other links, some of which has been referenced before
http://hyperphysics.phy-astr.gsu.edu/hb ... ucbin.html
Nuclei are made up of protons and neutron, but the mass of a nucleus is always less than the sum of the individual masses of the protons and neutrons which constitute it. The difference is a measure of the nuclear binding energy which holds the nucleus together. This binding energy can be calculated from the Einstein relationship
The iron limit:
The buildup of heavier elements in the nuclear fusion processes in stars is limited to elements below iron, since the fusion of iron would subtract energy rather than provide it. Iron-56 is abundant in stellar processes, and with a binding energy per nucleon of 8.8 MeV, it is the third most tightly bound of the nuclides. Its average binding energy per nucleon is exceeded only by 58Fe and 62Ni, the nickel isotope being the most tightly bound of the nuclides.
The binding energy curve is obtained by dividing the total nuclear binding energy by the number of nucleons. The fact that there is a peak in the binding energy curve in the region of stability near iron means that either the breakup of heavier nuclei (fission) or the combining of lighter nuclei (fusion) will yield nuclei which are more tightly bound (less mass per nucleon).
The binding energies of nucleons are in the range of millions of electron volts compared to tens of eV for atomic electrons. Whereas an atomic transition might emit a photon in the range of a few electron volts, perhaps in the visible light region, nuclear transitions can emit gamma-rays with quantum energies in the MeV range.
The iron limit:
The buildup of heavier elements in the nuclear fusion processes in stars is limited to elements below iron, since the fusion of iron would subtract energy rather than provide it. Iron-56 is abundant in stellar processes, and with a binding energy per nucleon of 8.8 MeV, it is the third most tightly bound of the nuclides. Its average binding energy per nucleon is exceeded only by 58Fe and 62Ni, the nickel isotope being the most tightly bound of the nuclides.
http://en.wikipedia.org/wiki/Nuclear_binding_energy
.As we go on to elements heavier than oxygen, the energy which can be gained by assembling them from lighter elements decreases, up to iron. For nuclei heavier than iron, one actually gains energy by breaking them up into 2 fragments. That, of course, is how energy is extracted by breaking up uranium nuclei in nuclear power reactors.
The reason the trend reverses after iron is the growing positive charge of the nuclei. The electric force may be weaker than the nuclear force, but its range is greater: in an iron nucleus, each proton repels 25 other protons, while (one may argue) the nuclear force only binds close neighbors.
As nuclei grow bigger still, this disruptive effect becomes steadily more significant. By the time plutonium is reached (94 protons), nuclei can no longer accommodate their large positive charge, but emit their excess protons quite rapidly in the process of alpha radioactivity—the emission of helium nuclei, each containing two protons and two neutrons. (Helium nuclei are an especially stable combination.) This process becomes so rapid that still heavier nuclei are not found naturally on Earth.
http://www-istp.gsfc.nasa.gov/stargaze/SnucEnerA-2.htm
The net binding energy of a nucleus is that of the nuclear attraction, minus the disruptive energy of the electric force. As nuclei get heavier than helium, their net binding energy per nucleon (deduced from the difference in mass between the nucleus and the sum of masses of component nucleons) grows more and more slowly, reaching its peak at iron. As nucleons are added, the total nuclear binding energy always increases--but the total disruptive energy of electric forces (positive protons repelling other protons) also increases, and past iron, the second increase outweighs the first. One may say 56 Fe is the most efficiently bound nucleus. (see reference #10b)
http://www.scienceinschool.org/print/257
http://www4.nau.edu/meteorite/meteorite ... saryb.htmlIron-56 has the most stable nucleus because it has the maximum nuclear binding energy (see box and diagram below). Nature cherishes stable configurations and therefore the fusion process described in our last article, which brings us from hydrogen up to heavier, more stable nuclei, will not continue beyond iron-56. So, where do heavier elements such as lead, silver, gold and uranium come from? There is no magic: the Universe provides other fascinating ways to produce all the heavy elements. In the high temperature and pressure of a star, fusion is as spontaneous as rolling down a hill (a process that releases energy). However, these new mechanisms are more laborious, like climbing a hill (a process that needs energy). Furthermore the next stages of nucleosynthesis are quite hectic, as they involve captures and explosions. Three types of capture are involved, two dealing with the capture of neutrons (the s- and r-processes) and one with the capture of protons (the p-process).
BINDING ENERGY1 - Amount of energy released at the creation of a particular isotope. Protons and neutron are held together by the "strong force". The strong force only acts over very small distances but is able to overcome the electrostatic repulsion between protons. The magnitude of the bonding is measured by the binding energy per nucleon where "nucleon" is a collective name for neutrons and protons (sometimes called the "mass defect per nucleon"). The mass defect reflects the fact that the total mass of the nucleus is less than the sum of the mass of the individual neutrons and protons that formed it. The difference in mass is equivalent to the energy released in forming the nucleus. The general decrease in binding energy beyond iron is caused by the fact that, as the nucleus gets bigger, the ability of the strong force to counteract the electrostatic force between the protons becomes weaker. The most tightly bound isotopes are 62Ni, 58Fe, and 56Fe, which have binding energies of 8.8 MeV per nucleon. Elements heavier than these isotopes can yield energy by nuclear fission; lighter isotopes can yield energy by fusion
Dan Tibbets