If the pK's are well separated, so that only one is titrating at a time ( assume
only two species exist at a time), the number of equiv of NaOH to add would be :

  1/(1+10^(pK1-pH)) + 1/(1+10^(pK2-pH)) + 1/(1+10^(pK3-pH))

where each term transitions from 0 to 1 as pH passes through it's pKa

In principle the calculated buffers should be more accurate, especially in the strong buffering regions where a small error in weighing out doesn't affect pH much. They depend on accurate pKa values, but these have probably been determined by a physical chemist with a hydrogen electrode (not glass electrode) in a junctionless system with temperature control. They are probably more reproducible, since analytical balances don't drift as much or show as much temperature dependence as pH electrodes. However if you publish just giving pH and someone else tries to reproduce your results by adjusting a 1M stock solution at room temperature to the pH and then diluting it to 10 mM in the assay at 4C, they are likely to get a very different pH.

Also check the label on your NaOH bottle to see the water content and adjust the MW accordingly- NaOH is often less than 90% NaOH by weight.

Finally if the reason for using a tribasic buffer is to get similar conditions over a wide pH range, this is a delusion because different buffer species are present at different pH's. MES^- is a lot more like MOPS^- than citrate^- is like citrate^-2, ionically speaking. And the ionic strength will vary greatly from one end of the range to the other, as you go from mostly neutral citric acid to mostly Na2- or Na3-citrate.

eab

Katherine Sippel wrote:
Alternatively you could make a stock solution of citric acid (say 1 M for 
example) and
stock solution of sodium citrate (also 1 M). Mix them in the appropriate ratio 
to ballpark
the right pH and just adjust up or down with the stock solution. The 
concentration of
citrate will be the same no matter the final volume. You can then dilute that 
down to
whatever your final concentration of citrate needs to be.

If you are looking for the actual method to do the calculations I would suggest 
finding a
chemistry textbook and looking at the chapter on buffering and the 
Henderson-Hasselbalch
equation.

Cheers,
Katherine


On Thu, Jan 30, 2014 at 9:31 AM, Daniel Picot <[email protected]
<mailto:[email protected]>> wrote:

    But you have to be aware that pH depends on the concentration  of the 
buffer. This is
    especially the case for phosphate and citrate buffer.
    Daniel

    Le 30/01/2014 15:51, Schnicker, Nicholas J a écrit :
    It’s a pain but I usually just make each pH of whatever buffer I’m using 
(if you
    make it concentrated then you’ll only have to do it once).  Also, if you 
haven’t
    already found it, Hampton has a nice link to calculate volume of components 
while
    designing a tray as long as you tell it the concentrations.

    http://hamptonresearch.com/make_tray.aspx

    Nick

    From: Roger Rowlett <[email protected] <mailto:[email protected]>>
    Reply-To: Roger Rowlett <[email protected] <mailto:[email protected]>>
    Date: Thursday, January 30, 2014 at 7:23 AM
    To: "[email protected] <mailto:[email protected]>" 
<[email protected]
    <mailto:[email protected]>>
    Subject: Re: [ccp4bb] preparation of citrate buffer pH3-6.5

    The easiest way to produce repeatable conditions is to titrate a stock 
solution (say
    1M) of citric acid with NaOH to the desired pH and use that to mix your 
screen.
    That's what Hampton does anyway.

    If fine sampling pH, you can mix various ratios of pH 3 and 6.5 buffers. 
The pH
    won't be linear with mixing ratio, but will be easily repeatable. The 
actual pH of
    the final, magic solution can be directly measured if desired. Calculations 
will
    never be exactly right; pKa values are ionic strength dependent. Better to 
measure.

    Roger Rowlett

    On Jan 30, 2014 2:37 AM, "sreetama das" <[email protected]
    <mailto:[email protected]>> wrote:

        Dear All,
                   We have obtained many tiny protein crystals in a condition 
containing
        0.1M citric acid pH 3.5, 2M ammonium sulfate. The crystals are too 
small for
        mounting in loops.

                   We intend to vary the salt concentration & pH to obtain 
larger crystals.

                   Could anyone direct us to some links, or provide us with a 
method
        (with calculations) to calculate the amounts of citric acid & trisodium 
citrate
        required to obtain buffers in a range of pH 3 - 6.5?
                   I have come across online buffer calculators and links where 
the
        amounts of the components required are mentioned in grams, but none 
explaining
        how those values were arrived at.

        Thanks & regards,
        sreetama





--
"Nil illegitimo carborundum"/- /Didactylos

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