UCSB Science Line
Sponge Spicules Nerve Cells Galaxy Abalone Shell Nickel Succinate X-ray Lens Lupine
UCSB Science Line
Home
How it Works
Ask a Question
Search Topics
Webcasts
Our Scientists
Science Links
Contact Information
I'm sorry if I confused you about the calculations with the force on the magnet. It turns out that they are inccorect. They are not compatable with the second question I asked you, about the formula to calculating the diamagnetic force created by bismuth. So, if you can direct me to any information or if you have a formula that I can use to calculate the diamagnetic force created by bismuth it would be a big help. I was wondering if I could modify a formula for calculating magnetic force and use that for bismuth, but you guys know more than I do, I would really appreciate the help. So, I guess my question is to put it simply, What is the formula for calculating the diamagnetic force created by bismuth? (at certian points in space taking into acount the magnet and its certian properties, the bismuths properties, etc...)
Answer 1:

Unfortunately, this issue of calculating magnetic force is quite difficult to do since it traditionally requires knowledge of some quantum mechanics as well as some hefty numerical integration depending on the geometry.

I would recommend (for someone of your likely mathematical standing) to consider the case where the magnet is approximately the same size as the bismuth, and to calculate the diamagnetic force caused by the bismuth, you can use the magnetic susceptibility of bismuth to calculate the induced counter-magnetic field in bismuth.

The magnetic susceptibility of bismuth is about -1.66*10 (-4).

Then you can approximate the force that each of them experience to be the force between two magnets with different magnetization. However, note that they are of constant ratio, since the magnetic susceptibility of bismuth fixes that particular quantity.



Click Here to return to the search form.

University of California, Santa Barbara Materials Research Laboratory National Science Foundation
This program is co-sponsored by the National Science Foundation and UCSB School-University Partnerships
Copyright © 2015 The Regents of the University of California,
All Rights Reserved.
UCSB Terms of Use