A thermal conductor is a material that allows energy in the form of heat, to be transferred within the material, without any movement of the material itself. An easy way to understand this concept is through a simple demonstration.
An insulator is a material that does not allow a transfer of electricity or energy. Materials that are poor thermal conductors can also be described as being good thermal insulators.
Well-insulated buildings need less energy for heating than buildings that have no insulation. Two building materials that are being used more and more worldwide, are mineral wool and polystyrene.
Mineral wool is a good insulator because it holds air still in the matrix of the wool so that heat is not lost. Since air is a poor conductor and a good insulator, this helps to keep energy within the building.
Polystyrene is also a good insulator and is able to keep cool things cool and hot things hot. It has the added advantage of being resistant to moisture, mould and mildew.
http://www.rare-earth-magnets.com/t-conductors-and-insulators.aspx
In conductive materials, the outer electrons in each atom can easily come or go, and are called free electrons.
In insulating materials, the outer electrons are not so free to move.
All metals are electrically conductive.
Dynamic electricity, or electric current, is the uniform motion of electrons through a conductor. Static electricity is an unmoving, accumulated charge formed by either an excess or deficiency of electrons in an object.
For electrons to flow continuously (indefinitely) through a conductor, there must be a complete, unbroken path for them to move both into and out of that conductor.
http://www.bbc.co.uk/bitesize/ks2/science/materials/heat/read/3/
Some materials let heat move through them easily (they conduct heat well). These materials are called thermal conductors.
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