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If it s implemented in the responder chain s objects, this method is called at the appropriate time to see if the user interface item (in this case, a menu item) should be enabled or not. In implementing this method, you can use anItem to get some information about the object that s going to be enabled or disabled; you can ask it for its action (so you can compare with one of your own methods) and for its tag (in case you d rather compare against a control tag you ve established in IB). Usually you ll just want to use the action. We ll show you how this works in just a bit, but first we should probably clarify just when this method is called. Here s the basic idea: any time Cocoa is about to draw the menu, generally in response to the user clicking on the menu bar, some checks are made for each menu item to determine whether it should be enabled or disabled. The flowchart in Figure 10 8 gives a rough outline of the sequence of events.

Figure 29-1 suggests that a lot more energy will be required to move valence electrons from the valence band to the conduction band in the case of crystalline carbon (diamond structure) compared to silicon Carbon in graphite form is a much better conductor because the structure of the atom arrangement in graphite gives it a smaller energy gap than that of diamond Crystalline silicon has a smaller energy gap than diamond does At absolute zero, the valence band of silicon would be completely full and the conduction band would be completely empty At room temperature, some number of valence electrons have enough thermal energy to jump the 11-eV gap to the conduction band and serve as charge carriers As the temperature increases and more electrons gain enough energy to jump the gap, the conductivity of silicon will increase Germanium has an energy gap of 07 eV, which is smaller than that of silicon This means that germanium is a better conductor than silicon at any given temperature However, it also means that germanium is too sensitive to heat for many electronic applications Relatively small changes in temperature cause large changes in the conductivity of germanium, making control and stability of circuits troublesome Lead has an interatomic spacing of 027 nm Figure 29-1 shows that this would translate to a band-gap diagram in which the conduction band overlaps the valence band One would, therefore, expect lead to be a good conductor, and it is Materials with overlapping, partially filled bands are conductors, as indicated in Figure 29-2

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Figure 29-2 In a material that is a good conductor, the conduction band is partially filled The blueshaded area shows energies occupied by electrons

When a potential difference is placed across a material, the resulting electric field exerts a force on the electrons The electrons accelerate and gain energy and the field does work on them If there are bands within the material that are only partially filled, then there are energy levels available that are only slightly higher than the electrons ground state levels As a result, the electrons that gain energy from the field can move from one atom to the next Such movement of electrons from one atom to the next is an electric current, and the entire process is known as electric conduction Materials with partially filled bands, such as the metals aluminum, lead, and copper, conduct electricity easily Random motion The free electrons in conductors move about rapidly in a random way, changing directions when they collide with the cores of the atoms However, if an electric field is put across a length of wire, there will be a net force pushing the electrons in one direction Although their motion is not greatly affected, they have a slow overall movement dictated by the electric field, as shown in Figure 29-3 Electrons continue to move rapidly with speeds of 106 m/s in random directions, and they drift very slowly at speeds of 10 5 m/s or slower toward the positive end of the wire This model of conductors is called the electron-gas model If the temperature is increased, the speeds of the electrons increase, and, consequently, they collide more frequently with atomic cores Thus, as the temperature rises, the conductivity of metals is reduced Conductivity is the reciprocal of resistivity As conductivity is reduced, a material s resistance rises

Figure 29-3 The electrons move rapidly and randomly in a conductor If a field is applied across the wire, the electrons drift toward one end Electron flow is opposite in direction to conventional current

The Free-Electron Density of a Conductor How many free electrons exist in a cubic centimeter of copper Each atom contributes one electron The density, atomic mass, and number of atoms per mole of copper can be found in Appendix D

Identify the knowns using Appendix D Known:

11:

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