The relative strength of popular substances
We define the "strength" of a medicinal pellet as the number of moles of an active ingredient in a single pellet. A popular ibuprofen 200 mg pellet with a strength of $9.7\times10^{-4}$ mol of C13H18O2 is chosen as a reference. An example of per-mol dilution strength calculation for Boiron 0.443mg pellet of Lakhesis Muta Venom., Boiron 0.443 mg::
- $ 0.443 \times 10^{-3} g /(13976 g/mol) \approx 0.443\times10^{-3}/(1.4\times10^{4}) \approx 3 \times 10^{-8}$ mol, with the relative strength to an ibuprofen pellet of $3\times10^{-8}/9.7\times10^{-4} = 3.2\times10^{-5}$.
For the reference, "https://en.wikipedia.org/wiki/Orders_of_magnitude_(mass)#nanogram", the mass of one human cell is 1ng or $10^{-9}$g , and thus a 100kg person would have $10^{14}$ cells.
Medicine |
Active Substance (AS) |
AS mass per pellet, MP (g) |
AS molecular mass, M (g/mol) |
Estimated Dilution, or De==MP/M (mol) |
Claimed Dilution, or Dc |
The De/Dc ratio |
Ibuprofen Strenghth Index (De/De_ibpf) |
C13H18O2 |
0.200 |
206 |
$9.7\times10^{-4} ~= 10^{-3} ~= 3D$ |
3D |
1 |
1 | |
Acetaminophen, C8H9NO2 |
0.500 |
151 |
$3.3\times10^{-3} ~= 10^{-3} ~= 3D$ |
3D |
1 |
3.4 | |
Immunotheraphy | |||||||
0.100 |
143597 |
$0.7 \times 10^{-6}$ ~> 6D |
6D |
1 |
0.7x10-3 | ||
Toxins | |||||||
0.300 |
65 |
$4.6 \times 10^{-3}$ ~> 2D |
2D-3D |
1 |
4.6 | ||
0.100 |
289 |
$3.5 \times 10^{-4}$, ~4D |
3D-4D |
1 |
0.35 | ||
0.593 (IP for 100kg mammal) |
13976 |
$4.2\times10^{-5}, ~ 5D$ |
$5D$ |
5D |
$0.042$ | ||
LD50 $~= 1.4x10^{-5} - 10$ g/100kg |
$10^{-3} - 10^{-10}$, 3D-10D |
xxx |
1 |
$1 -10^{-7}$ | |||
LD50 ~= 1000 ng/kg ~ 1 mg /adult |
149323 |
$ 7 \times 10^{-9} $, ~8D |
8D |
1 |
$7\times10^{-6}$ | ||
3.24 * 10^{-9} (per 500 unit vial of Dysport®) |
150000 |
$ 2.1 \times 10^{-14} $, 14D |
7C |
1 |
$2.1\times10^{-11}$ | ||
Homeophathy | |||||||
unknown |
136-212 |
10^{-3} mol |
3D |
unknown |
<1 | ||
< $10^{-15}$ g |
107.8 |
$10^{-17}$ mol, 17D |
12D |
$10^{-5}$ |
<$10^{-14}$ | ||
0.000443 |
13976 |
$3.2\times10^{-8} =~ 8D=4C$ |
$6C== 10^{-12}$ |
$3.2\times10^{4}$ |
$3.2\times10^{-5}$ | ||
Лахезис мутус (Лахезис), Гомеофарм |
Unknown |
13976 |
Minimal De range $10^{-12} - 10^{-2000}$ mol |
6C-1000C(!) |
Unknown |
Maximum pellet strength range $10^{-9} - 10^{-1997} $ | |
$1\times10^{-9} - 1100 \times10^{-9}$ |
289 |
$3.4\times10^{-12} - 3.8\times10^{-9}$ mol |
12D-9D |
Unknown |
$3.4\times10^{-9} - 3.8\times10^{-6}$ |
Medicine's labels used for calculations:
- Ibuptfen-200mg
- Tylenol-500mg
- Kali Phos, 3X
- Argentum Metallicum, 6C, $10^{-12}g, 0.443mg (?)
- Lakhesis Mutus venom, 6C, 0.443mg (?)
- Lakhesis Mutus, 6C, Gomeofarm, Russia
- A good question about 0.443mg in many Boiron products - but wrong answer
Selected studies of Lachesis venom