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very real sense representing an invention. We listed a number of accelerator types in the Introduction. Here we will focus on one such, the betatron, which illustrates the principles in a transparent and elegant way as a precursor to the main theme of acceleration using resonant structures. The betatron was the first circular accelerator to operate at constant orbit radius, and transverse particle oscillations in the neighborhood of the design trajectories of modern accelerators are still called betatron oscillations because they were studied in this case initially. In the betatron, a time varying magnetic field produces an electric field which accelerates the particles as we will see in the following discussion. Suppose that there is a uniformly distributed magnetic flux with rate of change 6 in a cylindrical region of space as depicted in Figure 2.5. Then at a radius r , there will be a tangentially directed electric field of magnitude E = &/(27rr). If we now provide a magnetic field B at r , directed in the a same sense as 6, particle can be made to follow a circular orbit of constant radius. From

Carbenes Carbenes are species which contain a dicoordinated carbon atom formally with two valence electrons. The possible electronic structures of the parent carbene, methylene :CH2 , are shown in Figure 7.5. The 2p orbital of the dicoordinated C atom is placed above by about 0X25j j in order to accommodate the lower electronegativity. One would expect on the basis of Huckel MO theory that the lowest energy con gu ration, i.e., the electronic ground state of :CH2 , is S0 1A1 . This is incorrect. In this case we are done in by the assumption that the electron electron coulomb repulsion can be neglected. The coulomb repulsion is most severe when two electrons are constrained to the same small MO. Although one pays a price for separation of the electrons into di erent MOs, this is largely compensated by the relief of electron electron repulsion which ensues by virtue of the orthogonality of the MOs. Thus, while it is true that S0 is lower in energy than S1 , the di erence is not as great as might have been expected. The triplet con guration, T1 3 B1 , is additionally stabilized by relief of ``exchange repulsion,'' the self-avoidance of two electrons with the same spin, that is, the principle underlying Hund's rule. The triplet con guration T1 falls 37.7 kJ/mol below S0 in the case of :CH2 [151]. The geometries of singlet and triplet carbene are di erent: singlet, HCH 103 [152]; triplet, HCH 136 [153]. The chemical consequences of whether

IE-SPYAD2 is a version of the tool that adds entries to Internet Explorer s Restricted sites list for all users of the same computer. The IE-SPYAD tool can be used to add entries for the current user only if so desired.

The BIOS is the program that handles the initial start up routine of your PC when you first switch it on and before any operating system that you ve installed takes over. This program handles communications and the loading of initial default parameters suitable for the hardware installed on the PC. There are a couple of tweaks that you can make to the PC s system BIOS. Some are operational, and others are performance-related. Let s take a look at some of these now. Switch on the PC and enter the BIOS screen. Consult your motherboard manual for instructions on how to enter the system BIOS (usually a key press such as Del or F2). Generally, the BIOS screen shows yellow, white, and red text against a dark blue background not the most friendly or aesthetic sets of colors to choose but nonetheless they are the ones most commonly used, so don t be worried about it! The main BIOS title screen will contain all the top level menus for all the changes that you can make to the BIOS. You navigate from menu to menu using the cursor keys on the keyboard (the up, down, left, and right arrows) and select an option by pressing Enter.

2. Save your drawing as ab24-08.dwg in your AutoCAD Bible folder. 3. Choose Modify 3D Operations Slice or choose Slice from the expanded 3D Make control panel of the Dashboard. Follow the prompts:

You can access an array s elements by index or by slice:

Meanwhile, the end-to-end WFI, denoted WFI i, can be expressed as WFIi s Di , s y By 4.36., we obtain from WFIi s Di , 1 q Di , 2 y From 4.33. and 4.34., we get WFIi s WFI i , 1 q WFI i , 2 .