
This is great, thank you so much!I used an online tool to calculate theoretical titration curves of monobasic and dibasic mescaline fumarate with NaOH. It's not my tool, but the output matches my hand-calculation at a few points. These calculations are nontrivial when pKa values are close together, and in general must be solved numerically. For 400 mg of salt, I input 1.22 mmol each mescaline and fumaric acid for the monobasic, 1.48 mmol and 0.74 mmol for the dibasic. I believe this is consistent with @Loveall's calculation.
I plotted the two calculated curves along with the measured curve, obtaining the figure below:
View attachment 106158
The calculated monobasic fits remarkably well at lower pH. It diverges starting around pH 8, possibly as the mescaline begins to precipitate since that effect isn't modelled. They reconverge later, possibly because precipitated mescaline behaves the same as dissolved mescaline at pH >> pKa (neither can accept a proton) so the model accidentally becomes accurate again. The calculated dibasic is never very close. I believe my conclusion differs from @Loveall's because I'm comparing primarily at lower pH and modelling the partial dissociation of the amine; but I believe the calculation will be most accurate at lower pH per above.
The starting pH alone may also provide a clue that it's monobasic. The pH of the dibasic salt is maximally sensitive to excess acid (since it's on the steepest part of the titration curve of mescaline with fumaric acid), but still seems distinguishable. That same tool calculates pH 3.78 for the monobasic salt, 6.82 for the dibasic, 4.77 for the dibasic with 20% excess acid.
That said, I don't see why the yield calculation by mass would be wrong. A solvate would go in the wrong direction. Was that yield calculated from the freebase to the salt, or the salt to the freebase? The latter seems easier to make accurate, with repeated extraction, drying over sodium sulfate, and repeated extraction of the sodium sulfate. The water could also be evaporated and weighed to cross check, perhaps after re-acidifying with a known mass of fumaric acid since excess sodium hydroxide would gain mass from atmospheric carbon dioxide. I haven't worked much with mescaline in general, so don't trust this part too much.

Are we sure the model includes the effect of freebase mescaline raising the pH before NaOH takes over?
Assuming that 0% of precipitated mescaline accepts a proton while >0% of dissolved mescaline does, I think you're right. So that effect goes in the wrong direction, and does not explain the divergence. Maybe it's something like precipitated mescaline coating the probe so it doesn't actually reflect the solution pH? But I'm speculating wildly there.Also wouldn't mescaline precipitating lower the pH vs the model?
The initial pH would be strongly acidic without the amine, and we see a buffer effect around 9.5 in the calculated curves (but not the measured curve). Changing the pKa for the amine changes both of those as expected. So I'm pretty confident the model includes the effect of the amine in the textbook manner, though I'm less confident that's the correct model at higher pH.Are we sure the model includes the effect of freebase mescaline raising the pH before NaOH takes over?
I think it's easier to go from pH to titrant volume than the reverse. At pH = 9.5, dissolved mescaline would be half dissociated, and the acid would be fully dissociated. So:Could you calculate by hand the he expected pH at 20ml of NaOH if not done already?

I was dropping those all by eye since my pipette pump only went down to 0.15mL and I don't have anything else that's that accurate. I used a smaller pipette manually. I was careful trying to ensure i didn't double drop or whatnot, but I know drop sizes are not perfectly 0.05mL sorry.@starbob, are we sure the machine you are using is indeed capable of measuring small volumes well? If for example, you ask it to drop 0.05ml 100 times, do you get 5ml?
Maybe it's something like precipitated mescaline coating the probe so it doesn't actually reflect the solution pH?
It would indeed be interesting to know whether and when the solution clouded, or to repeat the experiment at lower concentration.
I believe the starting volume was ~120ml (@starbob ?)
I don't think any mescaline would precipitate. Did you see any clouding @starbob ?
I'd be inclined to agree here - freebase mescaline is fairly soluble in water. From the concentrations in the titration it's possible to work out the maximum concentration of mescaline base, and whether that exceeds its known solubility.I don't think any mescaline would precipitate. Did you see any clouding @starbob ?
How does that square up with the volume of titrand? Ah, I see you've just posted that it was 60mL, so that can dissolve up to ~5050mg! This maximum comes with discounting any salting-out effect from the addition of NaOH.Does anyone know how soluble freebase mescaline is in water? I found this post on the nook but have not had any luck tracking down the source.
The Nook said:For freebase M, the solubility is 84100 mg/L. (MEYLAN,WM ET AL. (1996))
The sulfate has limited solubility in cold water, but is fairly soluble in hot water (hence it's use in making crystals)
The hydrochloride is quite soluble - .3g/ml +-.1g, from what I've found on other forums.
Addit: also, I don't suppose anyone has any numbers on how soluble freebase mescaline is in d-limonene?
I'd be inclined to agree here - freebase mescaline is fairly soluble in water. From the concentrations in the titration it's possible to work out the maximum concentration of mescaline base, and whether that exceeds its known solubility.
Also there's a figure of 84100 mgL⁻¹ quoted here:Mescaline solubility and other properties
Mescaline solubility and other properties Version 1.2 Note: when talking about IPA (isopropyl alcohol), a purity of 99% IPA is assumed. 91% IPA or less cannot substitute for 99% IPA. Freebase mescaline Composition: C11H17NO3 Melting point: 35-36°C (Kindler and Peschke, 103) Boiling point...forum.dmt-nexus.me
How does that square up with the volume of titrand? Ah, I see you've just posted that it was 60mL, so that can dissolve up to ~5050mg! This maximum comes with discounting any salting-out effect from the addition of NaOH.
It's impressive that the titration went so well if that was in fact undissolved M fumarate causing the turbidity. Is there a possibility it might be due to traces of calcium fumarate?
And well done to @Loveall for identifying the potential systematic error![]()
the 1mL, 0.5mL and 0.25mL were all an adjustable pipette, but it's really spec'd for 1-5mL.@starbob - Can you confirm whether those 0.25 mL steps were made with the adjustable pipette or by counting drops?
Nice, we can re-calculate the 0.1M NaOH volume with this infothe 1mL, 0.5mL and 0.25mL were all an adjustable pipette, but it's really spec'd for 1-5mL.
You can see it's the 1000-5000uL near the bottom of this chart:
![]()
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I'll check if it's accurate like suggested adding up a bunch, and similarly the pipette tip I used for the drops.
UPDATE: did repeated 10x and a 20x of 0.25mL on that adjustable pipette and they came back 0.28mL, 0.297mL, 0.347mL, 0.294mL & 0.3145mL. So avg ~0.31mL.
25x, 25x angled, 50x of drops came back 0.03584mL, 0.3548mL, 0.0358mL. So avg ~0.0357mL.
(10x of the 0.5mL on the adjustable came back 0.5039 so i'm not worried about that or 1mL.)
Thank you so much @starbob and @aizoaceous 
But @starbob didn't report any additional clouding during the titration, and @Transform's link implies the freebase should be plenty soluble. The obvious model for precipitation would make our divergence worse and not better. So I'd currently guess my initial speculation was wrong, and solubility plays no role here.(2) precipitation from the concentrated solution
Explanation of mesc FB's water solubility here:But @starbob didn't report any additional clouding during the titration, and @Transform's link implies the freebase should be plenty soluble. The obvious model for precipitation would make our divergence worse and not better. So I'd currently guess my initial speculation was wrong, and solubility plays no role here.
A repeat titration would be interesting. I think the consistency of constant-volume steps would outweigh any benefit in accuracy from smaller steps near the steep part of the curve. Or has anyone very carefully (many pulls, lots of stirring, thoroughly wash the drying agent, evaporate the last pull alone to confirm nothing was left, etc.) converted fumarate to freebase and weighed the result? That seems like the more accurate direction for yield by weight. What did @starbob do with the solution after the titration? I assume the mescaline was or will be recovered, and its weight as freebase could be compared.
The three methoxy groups on mescaline have appreciable electrostatic interactions with polar water molecules. Thus making mescaline pretty soluble in water. While DMT is largely non-polar in nature. Edit - doesn't have much to do with the protonation of the amines(pKa's and such). Notice how it is free-base mescaline that is soluble in the water and not the acid 'salt'(which is very soluble in water).
Intermolecular forces, and electronegativity as some key-words if you're more curious about this.
Hopefully this is what you were looking for.
I haven't done anything with it yet! I'd meant to reply to your earlier comment on yield and re-acidifying to fumarate; that I'm currently planning on adding excess NaCl (kosherWhat did @starbob do with the solution after the titration? I assume the mescaline was or will be recovered, and its weight as freebase could be compared.
) and pulling with ethyl acetate, then re-salting citric acid to compare weight vs 400mg fumarate. I've never isolated freebase mescaline before I don't have a clue offhand how to do that to weigh it for comparison
.After extraction of the titration mixture, your ethyl acetate should contain mescaline base, some dissolved water, and some inorganic salts made soluble by the water. You could dry the ethyl acetate over anhydrous sodium sulfate, decant to separate the sodium sulfate, rinse the sodium sulfate a couple times with fresh ethyl acetate to recover mescaline from solvent trapped in the sodium sulfate, and then evaporate until the weight stops decreasing.I've never isolated freebase mescaline before I don't have a clue offhand how to do that to weigh it for comparison.