freechemist, I wasn't aware that our friendly discussion had escalated to dispute status. More seriously:
1a.) I think it is clear from my previous posts that I'm selling neither TBP nor a specific rhodium SX methodology; I was merely trying to be helpful in pointing out that many SX methods and organic solvents clearly exist. And an SX option is worth at least being aware of.
1b.) As you seem keen to make specific debating points (some people like a good debate), I revisited your previous two posts and found both your logic and conclusion(s) to be flawed.
i. "The rhodium-concentration for optimum-extraction is about 1.3 g Rh per liter."
The fact that this is optimum doesn't preclude a range of other rhodium concentrations in the aqueous fraction (and one of the reasons for banks of counter-current SX reactors in commercial systems). For a small extraction, splitting the organic solvent into two (or more) fractions and repeating the extraction with each will decrease the Rh in the aqueous fraction significantly.
ii. "Extraction of Rh is done after addition of 4 moles of stannous chloride (SnCl2) per mole of Rh, which means that the solution contains in addition 5.9 g tin per liter, and finally, the solution to be treated is 3M in HCl, corresponding to an acid-concentration of 109 g HCl per liter."
Minor expenses compared to the value of the rhodium extracted, particularly as the reagents can be reused.
iii. "According to the abstract, optimum-extraction of rhodium occurs, if equal volumes of aqueous solution and organic phase are used. So, recovery of a bit more, than 1 gram of rhodium means an enormous expenditure, not even taken into account additional outlay for getting rid of all the tin involved in the process."
If you'd have looked at the graphs more carefully, you'd have seen that one shows max Rh/solvent loading of at least 10gms per L before it shoots off the top of the chart.
iv. "The most crucial factor in the solvent-extraction process of our dispute is not the nature/species of the organic solvent used. It is the rhodium-concentration in both phases."
Ahh, you mean the Distribution Coefficient [DC]. However, if you look at the Extraction Equilibrium graph, you'll see a DC factor of around 50! More than sufficient for practical extractions.
For a commercial level system the Rh SX link appears quite reasonable. Even for the relatively trivial (in the logical sense) case of around 1 gm Rh and a 500 ml separatory funnel, the cost both relative and otherwise is hardly an "enormous expenditure".
2.) Right, research is being done because there is research to be done ... and Gold/Butly Diglyme [DBG] is no exception. BDG is only relevant for acid-side chloride extractions (and as I've already mentioned, there is a better organic solvent already being used commercially). More important volume-wise is alkali-side cyanide extractions, for which a number of practical organic systems have been identified. Why has there not been a greater uptake by industry? The main reason is the capital cost in change-over from charcoal, zinc cementation, electrowinning, etc. But it's happening. And I think you'll find that new refineries are increasingly turning to SX.