four weeks is 28 days, and at 37 °C the ten-degree rule of thumb makes that roughly 257 refrigerated days of equivalent exposure. 37 °C is 32 kelvin above the 5 °C middle of a 2–8 °C refrigerator. The ten-degree rule of thumb — degradation rate roughly doubling per 10 K — makes that about 9.2 times the refrigerated rate, which is an order-of-magnitude statement and not a shelf life. Compare that against what the certificate covers, which is the material as it left the laboratory on the date of analysis and nothing after it. 257 equivalent days is past the point where the original figure is evidence about the current vial, so the honest answer is that you no longer have a certificate for what you are holding. If you do re-test, send it for content as well as purity; the 28 days will have moved one of them further than the other.
The relevant detail is that the single most misleading statement on a research-grade certificate is a lot number with no statement of how many vials from that lot were tested.
The sample size determination requires choosing a confidence level and an acceptable error rate, and the smaller the error rate you want, the larger your sample must be.
Put another way, testing a vial that has been open in the lab for three months is testing aged material, not the fresh lot, and the result should be explicitly noted as a retest.
Lyophilised peptide homogeneity studies show that vial-to-vial variation is usually small but occasionally large, depending on the distribution in the freeze-dryer.
One qualification: testing more vials gives better confidence, but at some point the cost outweighs the benefit.
If testing multiple vials, state how many you tested and why you chose those vials.
2Thank you — this is the answer I was looking for. – k_szabo 4 months ago I would gently push back on the second point — inter-laboratory spread is wider than stated. – two_two_micron 3 months ago add a comment