I have not studied the radioative intermediates produced wen radium decays into other atoms and emits a new lot of radiation. But it does happen multpe times for radium, and keeps happening- multiplying the number of partiicles so that here are MANY particles from ONE origial radium.
That continues till radium decays to lead.
Since radium has atomic weight of 226 and lead has atomic weight 207, there is a lot of decay and multiplic atio of particle numbners to be done to go from 226 down to 207, one at a time.
Radium isotopes are all radioactive, though some decay faster than others. SO there is no easy way to calculate it withoutknowing how much of which isotope were in the remedy. Knowig homeoapths are sloppy about that, and never go by weight, makes any actual calculation for a specific remedy - also repeatability - impossible.
I do not know if Helios measured radiation or is "playing safe", but I would not be surprised at a measured radiation occurring, bearing in mind the fast potential increase in radioactivity and particle numbers during remedy making and the lack of alpha particle escape route in glass.
The literature says that Radium breaks down with alpha rays at each stage, it does not vary like say uranium.
Avogadro's number is irrelevant to this.
Try to understand - Avogadro worked with gas laws - laws about how oxygem hydrogen, etc gases worked and how yo coudl compress them or chahge how much was in a container at different temperatures and pressures, and how high pressure woudl make the gas into lquid, like liquid ntrogen etc.
His avogadro number is the number of GAS molecules in a molecular weight of the substance.
It happens to work for other sustances besides gases as well, but it has to do with numver of molecules PER MOLE.
You can not apply it to radioactivity. That woul be like trying to measure water with a ruler. Radioactivity involves breakdown of atoms, into different atoms and some "spare" particles that are the "radioactive" aspect.
No. Radioactive substances each have a typical breakdown for that substance, Radium breaks down (via MANY initermediate also radioactive atoms) to lead, becasue lead is the first stable substance on its radioactivity breakdown path.
I see no mystery.
Radoactivity works a known way.
Unfortuunately homepaths do not work a known way, and they ignore weights, isotopes, etc and just forge ahead, and then wonder why they cannot answer their own questions

Lack of chemistry basics leads to their tossing Avogadro's name all over the place where it does nto fit for example. And look how many homeopaths keep doing that.
You can explain the Avogadro chemistry till you are blue in the face and homeopaths prefer to not have their ears on

They are worse than skeptics at sticking to a wrong idea:-) I wrote the details of Avogadro's misfitting idea (referenced) to Trevor Cook (founder of BIH) back in last century - and he agreed to update the BIH courses, but never did. Nor did the current head of BIH.
I find that sad. Homeopaths need to get updated when truths are known. No need to use me as the source of truth, any chemist will laugh at the idea of associating Avogadro's number with a remedy where no specific molecule is involved as in most remedies, and no known molecular weight, and make homeopaths look stupid. Do we really need that? They will assume we are equally ignorant in other homeopathy claims as we are with that one. Do we also want that?
I'd like to think it is time we give up tghe old wives tales and get more scientific where we can.
It will go a specific way at a rate determined by the starting isotopes and amount of each of them used.
Were those facts recorded - or even measured?
Measuring radiation is an art, but with the right expensive equipment it can be done at each dilution with confidence and repeatability. (The "OTC" type radiation counters are a joke, not accurate enough, it would need proper equipment.) but there would be no point doing it without ALSO knowing how much of which isotope was used in the starting amount, and how long over time, each dilution took to make. The radioactivity does not stop while one gets coffee between 25C, and 26C for example, making repeatability impossible wthout the time factor also being measured and documented.
The radium isotopes and their ratio and amount, really matter if you want to make calculations on numbers of particles as some have a half-life of 3 minutes and others have a half life of over a thousand years, and others are in-between.
And my computer would likely overheat into a radioactive meltdown in the computational attempt:-)
Namaste,
Irene
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Irene de Villiers, B.Sc AASCA MCSSA D.I.Hom/D.Vet.Hom.
P.O. Box 4703 Spokane WA 99220.
www.angelfire.com/fl/furryboots/clickhere.html (Veterinary Homeopath.)
"Man who say it cannot be done should not interrupt one doing it."