The magnetization of cobalt as a function of the temperature and the determination of its intrinsic magnetic field . energy per unit distance andT and R are respectively the absolute temperature and the universalgas constant. The arrangement of the magnetic molecules in a paramagnet-ic substance when not under the influence of an external magnetic 27. DuBois and Honda. Konink. Akad. Wetensch., Amsterdam, Proc. 12,PP. 396-602, March 1910. Reference from Science AbstractsNo. 736, 1910. ^6. Vorlesungen fiber Gas-Theorie, 1 Teil, p. 136. - 47 - field is exactly analogous to that of the gas molecul
The magnetization of cobalt as a function of the temperature and the determination of its intrinsic magnetic field . energy per unit distance andT and R are respectively the absolute temperature and the universalgas constant. The arrangement of the magnetic molecules in a paramagnet-ic substance when not under the influence of an external magnetic 27. DuBois and Honda. Konink. Akad. Wetensch., Amsterdam, Proc. 12,PP. 396-602, March 1910. Reference from Science AbstractsNo. 736, 1910. ^6. Vorlesungen fiber Gas-Theorie, 1 Teil, p. 136. - 47 - field is exactly analogous to that of the gas molecules when notunder the influence of gravity, and the rearrangement caused bythe action of a uniform magnetic field will follow an exactly sim-ilar law. The number of molecules, dn, the direction of whoseaxes are included in an elementary solid angle, dw, will be given dn = K e dw ( 1 ) where K is a constant. The potential energy of an elementary mag-net of moment M whose axis makes an angle $ with a uniform mag-netic field E is W = H M cos $From the figure dw = 27T* sin* $ d$Substituting this value and integrat-. ing from 0 to 7r we have4ttK n = sinh a ( 1a ) Fiqure 17 where This result assumes that the resulting intensity of magnetization is in the same direction as K. In general this will not be the case. If $ is the angle between H and I we have dl = M»cos $«dn and rlC I = \ M-cos $»dn Substituting the value of dn from (1) and integrating, and thensubstituting the value of K from (1a) we have t i cosh a 1 \ I = n M ( —z— ) v sinfi a a. where n is the number of molecules in unit volume. Since it is - 4£ - the thermal agitation of the molecules which opposes the action ofH, if there were no thermal agitation - if the substance wereat absolute zero - the intensity of magnetization would be a max-imum, and we would have HenceSince Im = n M I = im( 22**JL - 1 ) ( 2 ) m sinh a a a = MH / RT this gives „ I = Im f (?) For paramagnetic substances, a is very small - much
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