Atomic binding mass
Posted: Tue Dec 19, 2006 5:26 am
Let me throw some utter speculation into a thread, for once, and see whether it gets anywhere.
Here's some uncontroversial background definitions to begin with.
There are around a hundred stable elements which can exist indefinitely without breaking down into smaller components.
Each atom of an element differs from others by having a fixed number of charged "particles". Lightweight loosely-bound ones, electrons, can be added or subtracted to electrically charge the element without permanently changing it. The positive proton balancing charge is carried in a tight package, the nucleus. The number of these protons can't change except in a nuclear reaction, and if they do then the element left afterwards is different.
Too many protons packed together into a nucleus is unstable unless padded out with electrically neutral "particles" called neutrons. For a given number of protons there is a small range of neutrons which will stabilize the nucleus and allow it to exist indefinitely. Each proton-neutron count that's indefinitely stable is called a stable isotope. A stable element can have one or more stable isotopes. An element with no stable isotopes is radioactive.
As a side note, I've put "particles" in quotemarks because there are two major mathematic schemes for describing their behaviour, each with entirely different equations. One treats them as point-masses and the other as stable standing waves which have no final limit to their extent, merely a description of the probability distribution relating to their average centre. Each description is a powerful tool in predicting their properties.
Two other words - weight and mass. If you take a two-kilo bag of sugar at sea-level on Earth it weighs two kilos. Put it on the Space Station and it weighs nothing to an astronaut next to it. It still has a mass of two kilos. Weight is an arbitrary consequence of speed, acceleration and gravity. Mass is a fixed quantity.
Finally, mass and energy. This is the most famous relationship of modern scientific insight. Einstein's "e equals em cee squared" says that a given cold mass can be exchanged for a given hot energy. Energy is always hot, being either speed or light.
The speed or acceleration of anything is relative to any other thing, nothing is definitively still and unmoving. All of this discussion of mass relates to particles moving and accelerating compared to the experimenter. Something which isn't moving or accelerating in that context is cold.
The mass of a cold atom can be measured. That's the isotopic mass. The mass of a cold proton, neutron and electron can also be measured. That's the particle mass.
Adding all of the particle masses in an isotope doesn't come to the same as the isotope mass. The difference is the binding mass of the isotope nucleus. Some nuclear configurations are less stressed than others and need less energy to hold them together, and since it's not hot the energy is described as a mass instead.
So, enough with the definitions, here's my speculation. If you look at binding masses for all stable isotopes you find that there's a minimum when the proton count is around 26. Those are the isotopes of Iron. Lighter and heavier elements have progressively higher binding masses the further the proton count gets from that of Iron. Where it reaches very high values for very large isotopes, none of the isotopes are stable any longer and the nucleus spontaneously breaks down (a process called atomic fission) to form lighter fragments with lower binding energies, giving off hot energy in the process. That's the basis of nuclear fission reactors which provide commercial electricity. At the lightest end of the scale, combining nuclei to form a stable heavier isotope also gives off hot energy and is the source of sunlight (and, eventually, all of the elements which make up the world, with the exception of the Hydrogen and Helium which were formed in the earliest history of the universe).
Two elements of particular interest are Sodium and Chlorine. They combine together to make common salt, the stuff you might grind over a meal if you're that way inclined. Each is interesting in that they have a higher-than-average binding mass for their proton count, and that together their constituent particles are the same as those in a two stable isotopes of Nickel (which is close in mass to Iron) each of which has a lower total binding mass.
I speculate that if there were a means whereby atoms of Sodium and Chlorine could be fused into becoming an atom of Nickel, the excess binding energy might be emitted as light. If more energy were emitted than were needed to power the process then a cheap portable power source might result which would replace the current processes which feed the global warming greenhouse effect.
Particle accelerators have been banging atomic nuclei, which are just atoms from which the electrons have been stripped, together for many years and these collisions are high-energy and destructive. The nuclei collide with so much energy that they immediately fracture. With too little collision force they merely bounce off each other without change. The energy required to push two electrically charged nuclei entirely together is significant but measurable. If it's just enough energy and no more, then the resultant combination might remain stable for long enough to dump the excess binding energy as light and stay together afterwards as a new stable cold isotope.
Current fusion reactors use electromagnets to steer nuclei of very light particles in a confined space. The energy required to steer the very much larger nuclei of Sodium and Chlorine is smaller.
So, enough speculation. Can anyone find experimental results in this area, or start a discussion about an aspect of atomic theory which prevents this from working? It's silly of me to bring it up without sufficient knowledge but not knowing niggles at me and I don't know where to go to find out why it's a fruitless avenue.
Here's some uncontroversial background definitions to begin with.
There are around a hundred stable elements which can exist indefinitely without breaking down into smaller components.
Each atom of an element differs from others by having a fixed number of charged "particles". Lightweight loosely-bound ones, electrons, can be added or subtracted to electrically charge the element without permanently changing it. The positive proton balancing charge is carried in a tight package, the nucleus. The number of these protons can't change except in a nuclear reaction, and if they do then the element left afterwards is different.
Too many protons packed together into a nucleus is unstable unless padded out with electrically neutral "particles" called neutrons. For a given number of protons there is a small range of neutrons which will stabilize the nucleus and allow it to exist indefinitely. Each proton-neutron count that's indefinitely stable is called a stable isotope. A stable element can have one or more stable isotopes. An element with no stable isotopes is radioactive.
As a side note, I've put "particles" in quotemarks because there are two major mathematic schemes for describing their behaviour, each with entirely different equations. One treats them as point-masses and the other as stable standing waves which have no final limit to their extent, merely a description of the probability distribution relating to their average centre. Each description is a powerful tool in predicting their properties.
Two other words - weight and mass. If you take a two-kilo bag of sugar at sea-level on Earth it weighs two kilos. Put it on the Space Station and it weighs nothing to an astronaut next to it. It still has a mass of two kilos. Weight is an arbitrary consequence of speed, acceleration and gravity. Mass is a fixed quantity.
Finally, mass and energy. This is the most famous relationship of modern scientific insight. Einstein's "e equals em cee squared" says that a given cold mass can be exchanged for a given hot energy. Energy is always hot, being either speed or light.
The speed or acceleration of anything is relative to any other thing, nothing is definitively still and unmoving. All of this discussion of mass relates to particles moving and accelerating compared to the experimenter. Something which isn't moving or accelerating in that context is cold.
The mass of a cold atom can be measured. That's the isotopic mass. The mass of a cold proton, neutron and electron can also be measured. That's the particle mass.
Adding all of the particle masses in an isotope doesn't come to the same as the isotope mass. The difference is the binding mass of the isotope nucleus. Some nuclear configurations are less stressed than others and need less energy to hold them together, and since it's not hot the energy is described as a mass instead.
So, enough with the definitions, here's my speculation. If you look at binding masses for all stable isotopes you find that there's a minimum when the proton count is around 26. Those are the isotopes of Iron. Lighter and heavier elements have progressively higher binding masses the further the proton count gets from that of Iron. Where it reaches very high values for very large isotopes, none of the isotopes are stable any longer and the nucleus spontaneously breaks down (a process called atomic fission) to form lighter fragments with lower binding energies, giving off hot energy in the process. That's the basis of nuclear fission reactors which provide commercial electricity. At the lightest end of the scale, combining nuclei to form a stable heavier isotope also gives off hot energy and is the source of sunlight (and, eventually, all of the elements which make up the world, with the exception of the Hydrogen and Helium which were formed in the earliest history of the universe).
Two elements of particular interest are Sodium and Chlorine. They combine together to make common salt, the stuff you might grind over a meal if you're that way inclined. Each is interesting in that they have a higher-than-average binding mass for their proton count, and that together their constituent particles are the same as those in a two stable isotopes of Nickel (which is close in mass to Iron) each of which has a lower total binding mass.
I speculate that if there were a means whereby atoms of Sodium and Chlorine could be fused into becoming an atom of Nickel, the excess binding energy might be emitted as light. If more energy were emitted than were needed to power the process then a cheap portable power source might result which would replace the current processes which feed the global warming greenhouse effect.
Particle accelerators have been banging atomic nuclei, which are just atoms from which the electrons have been stripped, together for many years and these collisions are high-energy and destructive. The nuclei collide with so much energy that they immediately fracture. With too little collision force they merely bounce off each other without change. The energy required to push two electrically charged nuclei entirely together is significant but measurable. If it's just enough energy and no more, then the resultant combination might remain stable for long enough to dump the excess binding energy as light and stay together afterwards as a new stable cold isotope.
Current fusion reactors use electromagnets to steer nuclei of very light particles in a confined space. The energy required to steer the very much larger nuclei of Sodium and Chlorine is smaller.
So, enough speculation. Can anyone find experimental results in this area, or start a discussion about an aspect of atomic theory which prevents this from working? It's silly of me to bring it up without sufficient knowledge but not knowing niggles at me and I don't know where to go to find out why it's a fruitless avenue.