Firstly, it is important to explain why magnetic annealing is needed.
In the literature the magnetostriction of cobalt ferrite is normally given as a contraction of about 110 parts per million. However, these values do not refer to individual crystals, but to samples made up of large numbers of crystals. In these samples the crystals of cobalt ferrite have been placed together with random orientations, so that the (100) crystal axis of one crystal could be in the same direction as the (110) crystal axis of another crystal, while for most of the other crystals this direction does not correspond with any crystal axis at all.
It follows then that the quoted measurement of 110 parts per million is an average value for the contraction of a whole sample, with some crystals contracting by 590 parts per million, some crystals expanding by 90 parts per million, and most crystals contracting or expanding by some value between these two limits.
Therefore all of the crystals making up a whole sample are under high levels of stress when placed in a magnetic field, with some crystals attempting to contact by 590 parts per million while others will attempt to expand by 90 parts per million.
During magnetic annealing, the crystal axes of most of the crystals are changed so that afterwards their various crystal axes are all orientated roughly in the same direction.
The benefits of the annealing operation are as follows. It should reduce the elastic energy, which arises as a result of the polycrystalline material coming under a magnetic field, when some crystals attempt to contract and others expand. It should also produce larger magnetostrictive effects. Finally with a single crystal of cobalt ferrite it requires less energy to magnetise a sample in a particular direction. It requires more energy to magnetise when a different direction is chosen. If, therefore, in the sample, all the crystals have been aligned towards one direction, it should be possible to take advantage of this and so reduce the energy required to magnetise the whole sample.
Data in the literature suggests that a magnetic field strength of 9,000 Oersteds would be required for 72 hours at a temperature of 150°C.
The sample size was fixed by the research partners. It is a solid cylinder measuring 30 mm diameter by 50 mm long.
It was decided that the sample should be heated using a hot air gun and a jacketed plastic vessel should be used to protect the sample from any heat being generated from the copper coil.
The next question to consider was how to produce the magnetic field, and there are two possibilities. The first is to use a copper coil wrapped around the sample compartment. The alternative is to generate the magnetic field in an iron core some distance away from the sample chamber and then use the iron material to direct the magnetic field to pass through the sample in a closed magnetic loop.
Because of the heat being generated in the coil, it is necessary to remove the heat along thin copper discs which will conduct the heat from the coil to the outside of the equipment. In the outer section of the equipment there will be a large number of copper tubes of very small diameter, with air being forced up inside and outside these tubes. In this way the heat can be removed from the equipment, so that the annealing can take place for 3 days.
The jacketed tube will be fabricated in Ketron Peek 1000, which is a polyester material capable of withstanding 200?C.
A copper coil consisting of 31,440 turns can generate the magnetic field of 9,000 oersteds. However to remove the heat it is necessary to separate the coil into 60 sections using copper plates between each section. Therefore the coil must be made out of helices of copper wound in such a way that each helix consists of 131 turns. A set of 4 helices will form each section of the coil. The copper plates will be disc shaped and will be 1 mm thick.
It was important to be able to prove that it was possible to fabricate the copper wire into a flat helix with 131 turns, but with a thickness of only the diameter of the wire. This was done using a wire winder and a helix was formed and held together using a small amount of glue.
The coil is made from copper wire 0.71mm diameter, with an insulation layer of 0.033mm thick. An insulation layer was chosen which would be capable of withstanding 200°C.
Outside this section, the heat is transferred to vertical copper tubes. The tubes are 3 mm internal diameter, 6 mm external diameter and 1.5 mm thick.
Air would enter the bottom of the tubes at room temperature, or 20?C and leave at temperature between 47.9?C and 34.7?C. The total volumetric flow rate of the air would be 2.073 cubic meters per second.