Hi everybody.
How to convert particles/mL to microgram/mL?
If spherical AuNPs with a concentration of 2 x 10^11 particles/mL must be converted to ug/mL.
Many thanks!
Yes Kåre surely it depends on their average size. The calculation formula is:
Microgram/ml =2 x 10^11 (particles/ml) * gold density (gm/cm3) * (1/6) (22/7) * (average diameter of particles nm)3 *10^-21 (cm3/nm3) * 10^6 (ugm/gm)
If you take the gold nanoparticles true density: 19.32 g/cm3
Microgram/ml = 20.24^ -4 *(average diameter of particles in nanometer)3
Best regards
You have to figure out a way to determine the (average) mass of your gold nanoparticles, which depends on their (average) size. So perhaps you should determine their size first.
Yes Kåre surely it depends on their average size. The calculation formula is:
Microgram/ml =2 x 10^11 (particles/ml) * gold density (gm/cm3) * (1/6) (22/7) * (average diameter of particles nm)3 *10^-21 (cm3/nm3) * 10^6 (ugm/gm)
If you take the gold nanoparticles true density: 19.32 g/cm3
Microgram/ml = 20.24^ -4 *(average diameter of particles in nanometer)3
Best regards
Then you have everything required to do the remaining math yourself. Don't forget to thank Mohammed for his kind help. You should expect some uncertainty in the results, due to size variation around 30 nm, and possible deviations from perfect spherical shape. The provider ought to have information about that, if you should need it.
Yes Monique
Microgram/ml = 20.24^ -4 *(average diameter of particles in nanometer)3
Microgram/ml = 20.24^ -4 *(30nm)3
= 54.64
Best regards
@Mohammed. You should encourage Monique to do some work on her own; how can she become a serious scientist otherwise? That said, I also enjoy doing the computations myself :-).
@Mohammed - Thank you so much for your advice and guiding - this will surely help me. I appreciate your effort!
@Kåre - Please don't assume that I did not do work on my own.
Many thanks.
Yes, Hanan it is applied for silver nano particles as well. Please use the silver nanoparticles true density: 10.5 g/cm3 instead of gold true density.
Best regards.
Mohammed sir,
I want to know how this formulae for converting the concentration(particles/ml) of nanoparticles into microgram/ml came. Is there any reference or journal paper for this calculation.
As, I am working on the mix nanoparticles I want to know is it possible that using this formulae I can also calculate the unknown concentration of nanoparticles in the suspension.
@Mohammed - This information is so helpful, thank you for sharing. In your original equation what did the numbers, 10^-21 (cm3/nm3) * 10^6 (ugm/gm), represent. I am trying to do the same calculation with a 500 nm particles.
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