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The temperature of a paramagnetic material is 30^@C, the atomic concentration is 10^(27)m^(-3) the atomicmagnetic moment is two Bohr magnetons. Estimate by what number the number of atoms with magnetic moments oriented in the direction of the field exceeds the number of atoms with magnetic moments oriented against the field, if the field induction is 1.2 T. How will the result change, if the substance is cooled to the temperature of liquid nitrogen (-195.8^@C)? |
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Answer» `N_(1)/N_(2)=(e^(-epsi_(1)//kT))/(epsi_(2)//hT)=e (epsi_(2)-epsi_(1))/(kT)=1+(epsi_(2)-epsi_(1))/(kT)` But `N_(1)` is the NUMBER of atoms whose magnetic moments are oriented ALONG the field the energy is `epsi_(1)-mu_(B) D, N_2` is the number of atoms, whose moments are oriented against the field, their ENERGYIS `epsi_(2)=p_(m)B`. we have `N_1/N_2=1+(2v_(m)B)/(kT)` |
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