How to measure size of lead (Pb) nanoparticle from VSM (Vibrating Sample Magnetometer)?

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I have calculated bandgap value of lead (Pb) nanoparticles and got two results. Can anyone suggest which one is the accurate result?

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Does the agglomeration of nanoparticles lead to formation of bulk material?

Agglomeration of Cu nanoparticles lead to formation of bulk copper?

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Could you recommend any books about Number Theory?

Beginner level books. High level books. Analytical Number Theory. Algebraic Number Theory. Combinatorical Number Theory. Books about partitions. Books about primes.

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Palash Gangopadhyay

Try this one: http://arxiv.org/pdf/cond-mat/0210459v1.pdf

Google too would have taken you there.

Cheers!

Kai Fauth

There have also been some cute measurements by K. Kern's group some years ago. I attended a talk of his at the time but guess that this must have been published in the meantime.

Theivasanthi Thirugnanasambandan

VSM measurements details for lead nanoparticles are attached.

References from the Kern group:

Observation of shell effects in superconducting nanoparticles of Sn (DOI: 10.1038/NMAT2768)

Experimental observation of thermal fluctuations in single superconducting Pb nanoparticles through tunneling measurements (DOI: 10.1103/PhysRevB.84.104525 & DOI: 10.1103/PhysRevB.84.219906)

Is any one know saturation magnetization Ms of bulk lead?