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In those setter methods, you may notice that we re once again going through the trouble of releasing the old value and retaining the new one, a series of steps that won t really do anything in our garbage-collected world. Really, setText: is doing a copy rather than a retain, which does make a difference (and in general is a good idea when receiving an object such as NSString, because the caller may actually be passing you a mutable string that can be changed by some other piece of code), but even there, the release on the line above it doesn t do anything, so why bother We ve touched on this before, but it s worth repeating: even though we re encouraging you to use GC in all your applications, there may be times when you can t. You may find that you need to start linking with a framework or library that doesn t work well with GC, or that you want to port your application to iPhone, which (at the time of this writing anyway) doesn t include GC at all. Taking the simple step of writing your accessors from the beginning in a way that will work in a non-GC situation will make such transitions that much easier. With that said, writing your own accessors that properly deal with memory management issues in a non-GC environment can be trickier that you might imagine. If you re not 100 percent sure of how to proceed, you can find a detailed discussion of these issues in Learn Objective-C on the Mac, by Mark Dalrymple and Scott Knaster (Apress, 2009).

The energy absorbed by the atom, E, is equal to the energy difference between the final energy level of the atom, E f , and the initial energy level of the atom, E i E Ef Ei E2 E1 Substitute Ef E2, Ei E1 340 eV ( 136 eV) Substitute E2 340 eV, E1 136 eV 102 eV Energy is absorbed

Are the units correct Orbital energy values should be measured in electron volts Is the sign correct The energy difference is positive when electrons move from lower energy levels to higher energy levels Is the magnitude realistic The energy needed to move an electron from the first energy level to the second energy level should be approximately 10 eV, which it is

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1 Calculate the energies of the second, third, and fourth energy levels in the hydrogen atom 2 Calculate the energy difference between E3 and E2 in the hydrogen atom 3 Calculate the energy difference between E4 and E2 in the hydrogen atom 4 The text shows the solution of the equation rn

radius of the hydrogen atom Note that with the exception of n 2, all factors in the equation are constants The value of r1 is 53 10 11 m, or 0053 nm Use this information to calculate the radii of the second, third, and fourth allowable energy levels in the hydrogen atom

5 The diameter of the hydrogen nucleus is 25 10 15 m, and the distance between the nucleus and the first electron is about 5 10 11 m If you use a ball with a diameter of 75 cm to represent the nucleus, how far away will the electron be

Frequency and Wavelength of Emitted Photons An excited hydrogen atom drops from the second energy level (n 2) to the first energy level (n 1) Calculate the energy and the wavelength of the emitted photon Use E1 and E2 values from Example Problem 1

Now let s move on to the meat of the LOLView class: drawing the image and superimposing some text. Let s start with the image, which we can copy into place quite quickly by adding a few lines to the drawRect: method that was put in place when you created the class:

Diagram the energy levels E1 and E2 Indicate the direction of increasing energy and show the emission of a photon on the diagram Known:

Unknown:

The energy of the emitted photon is equal to E, the energy difference between the final energy level of the atom, E f , and the initial energy level of the atom, E i E Ef Ei E1 E2 Substitute Ef E1, Ei E2 136 eV ( 340 eV) Substitute E1 136 eV, E2 340 eV Math Handbook 102 eV Energy is emitted Isolating a Variable To determine the wavelength of the photon, use the following equations E c hf, so f f, so

Solve the photon energy equation for frequency Solve the wavelength-frequency equation for wavelength Substitute f

1240 eV nm,

- (void)drawRect:(NSRect)rect { NSRect srcImageRect = NSMakeRect(0, 0, [self.image size].width, [self.image size].height); [self.image drawAtPoint:[self bounds].origin fromRect:srcImageRect operation:NSCompositeCopy fraction:1.0]; }

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