Engineering Physics II - Ch. 4.2

Paramagnetic Materials:-
                In some materials the paramagnetism arise due to the presence of permanent magnetic dipoles. When such magnetic materials are placed in a strong uniform magnetic field, they get feebly magnetised in the direction of the field. The applied magnetic field aligns their atomic dipoles in their own direction. In this way the resultant magnetic field in the magnetised material increases and become greater than the applied field. The tendency of a material to increase the magnetic field by magnetisation in the materials is called paramagnetism. The materials which exhibit this property are called paramagnetic materials. In the absence of an applied field, the dipoles are randomly oriented and hence the total magnetisation in any given direction is zero.
                The relative permeabilities of paramagnetic materials are slightly greater than unity and their susceptibilities are positive, of the order of 10-3 to 10-5. At low magnetic field  magnetisation I varies with in a linear way, but at very high fields the deviation from proportionality occurs. Examples of paramagnetic materials are aluminium, sodium, platinum, manganese, antimony, copper chloride, liquid oxygen, solutions of salts of iron and nickel, ect.
                The rise in temperature of a paramagnetic material increases its thermal energy and hence the thermal agitation of its atom so that the alignment of the dipoles becomes more difficult. At finite temperature, the thermal agitation makes the dipole orientation random. Even the strong field is unable to compete with the force due to thermal agitation as a result of which magnetic dipoles slightly turn in the field direction, that is why the paramagnetic substances are feebly magnetised in the field direction.
                The other characteristics of paramagnetic substances are as follows:
1. When a bar of a paramagnetic material is suspended freely in the region of intense magnetic field between the two strong magnetic poles, the axis of the bar becomes parallel to the field and the poles developed at the ends of the bar are opposite to the nearer magnetic poles figure.
2. When a paramagnetic material is placed in a non-uniform magnetic field, it tends to move from weaker to the stronger parts of the field.
3. It is also noticed that the susceptibility of a paramagnetic material is inversely proportional to the absolute temperature (that is, c = C/T, where C is the Curie constant). Its value decreases with the rise in temperature and becomes negative at higher temperature. At higher temperatures the paramagnetic material becomes diamagnetic.
4. In the surrounding of move paramagnetic medium, a paramagnetic material behaves like a diamagnetic.
5. When a bar of paramagnetic material is placed in the region of intense magnetic field, the bar concentrates most of the lines of force into it figure and thus they become more dense.
6. It is observed that a paramagnetic gas when allowed to ascend between the pole pieces of a magnet, it spreads along the field.


Ferromagnetic Materials:-
                There are certain substances the permanent atomic dipoles of which have a strong tendency to align themselves in the direction of the field in spite of the randomizing nature of thermal agitation of its atoms.This property of the material is called ferromagnetism and the materials which exhibit this property are called ferromagnetic materials. Even in the absence of any external field the ferromagnetic materials show ferromagnetism that is why permanent magnets are made from them. The phenomenon of ferromagnetism arises due to both the interaction between the neighbouring atomic dipoles and the alignment of permanent dipoles in atoms that result from unpaired electrons in the outer shells. The ferromagnetic materials such as iron, cobalt, nickel, dysprosium, gadolinium have a peculiar electronic structure such that their outermost shell contains electrons even though the inner shell next to the outermost is still unfilled. Due to this peculiarity in structure the spin magnetic moments of ferromagnetic materials become drastically large, resulting large atomic dipole moments. The arrangement of atomic dipoles in ferromagnetic materials is shown in figure.
         The relative permeabilities of ferromagnetic materials are of the order of hundreds and thousands. The susceptibillties of ferromagnetic materials are independent of temperature and have very large and positive values.
Each ferromagnetic material has a characteristic temperature, called curie temperature, below which they exhibit the ferromagnetic behaviour of spontaneous magnetisation and above which the ferromagnetic materials behaves as a paramagnetic. The curie temperatures of iron, nickel, cobalt, dysprosium and gadolinium are 1043 K, 638 K, 1348 K, 105 K and 288 K respectively.
      The other characteristics of ferromagnetic substances are as follows :
1.  The proportionality between the intensity of magnetisation and magnetising field in a ferromagnetic material maintains for smaller values of H (part OP of the curve shown in figure). For moderate values of magnetising field H, I increases rapidly and acquire a constant value for large H as shown in figure. It is also evident from figure that the susceptibility remains constant for smaller values of H, increases in the intermediate region and then decreases for very large values of .


2. It is apparent from the magnetic induction  versus  curve shown in figure that the flux density B in a ferromagnetic substance is not directly proportional to the magnetising force H, but B varies  with H in a similar fashion as I varies with H except that B does not