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Hysteresis loop magnetization of Gadolinium
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[QUOTE="gony rosenman, post: 6027134, member: 644934"] hello i have a few questions regarding hysteresis loop in ferromagnets as showen [URL='https://goo.gl/images/Eo7mXp'][B][U]here[/U][/B][/URL] . i had an experiment in which i took a piece of gadolinium and cooled it down using liquid nitrogen , than i put it in an apparatus as showen [U][B][URL='https://photos.app.goo.gl/jffdU66JdErF8cNh6']here[/URL] [/B][/U], so i induct an oscillating magnetic field on it , forcing some inner magnetization to arise within the metal , according to blochs law . [B]M(T) = M(0)*(1-(T/T[SUB]curie[/SUB])[SUP]3/2[/SUP])[/B] M(T) - inner magnetization M(0) - inner magnetization at absolute zero T - Temperature T[SUB]curie[/SUB] - curie temperature , in which the magnetic domains cannot form a unified direction and the metal become paramagnetic now things get tricky for me i learned that in hysteresis loops , the inner magnetization is measured as the magnitude of B at the retentivity point (which makes sense cause that's the field that remain in the metal when there is no magnetic field induced) ,[B] but that is confusing because that value is in units of Tesla/Gauss , and i wanted to find the Magnetization in amper/meter units . [/B] am i getting something wrong , or should i just convert to amper/meter , and if so - which formula should i use ? [B][/B] further more , in the experiment i measure the voltage drop on the capacitor C2 (shown in figure) and get a signal proportional to B , with an unknown factor which i am unable to attain from the lab ( apparently no one knows the precise inductance of the coil , i measured it by myself but decided i rather keep the whole data with volatages and show proportionality) , [B]so in the end the value extracted from the hysteresis loop was only proportional to B at the retentivity point .[/B] nevertheless ,[B] i decided to fit the data using CFtool (matlab) and a costume equation similar to bloch's law[/B] (meaning i took the value of V proportional to B at the retentivity point of each hysteresis loop corresponding to a different Temperature , and plot it against the matching temperature , and tried to make a fit with bloch's law equation) the striking part , the results were surprisingly close to the expected values . for example , i looked up the inner magnetization and saw the following for gadolinium : [URL='https://journals.aps.org/pr/abstract/10.1103/PhysRev.91.28'][I]The saturation magnetization at absolute zero, determined by extrapolation is 253.6±0.9 cgs units[/I][/URL][I] . This saturation moment [I]corresponds to 7.12 Bohr magnetons. [/I][/I] the value i got in the CFtool for M(0) was around 700 , which is in the same order of magnitude . so my final question , is it a coincidence or does it make sense somehow that my proportional measurment somehow corresponds well to the actual value , and that my measurement was in units of B when maybe it should have been somehow converted to units of magnetization .that is a very long question , i hope someone out there might be able to assist with some clarification , there's not much i can do in return but send honest gratitude ! [I][I] [/I] [/I] [/QUOTE]
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Hysteresis loop magnetization of Gadolinium
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