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The chapter begins with the introduction of the two-particle Schrödinger wave equation (SWE) and the solution of this equation for the hydrogen atom. The orbital angular momentum of the electron results from the SWE solution. The Pauli spinors are introduced, and the SWE wavefunctions are modified to account for the spin of the electron. The structure of multielectron atoms is then discussed. The discussion is focused on low-Z atoms for which Russell–Saunders or LS coupling is appropriate. Alternate coupling schemes are briefly discussed. Angular momentum coupling algebra, the Clebsch–Gordan coefficients, and 3j symbols are then introduced. The Wigner–Eckart theorem is discussed, and the use of irreducible spherical tensors for evaluation of quantum mechanical matrix elements is discussed in detail.
This chapter provides an overview of the fundamental elements of magnetic resonance imaging (MRI). Four terms describe the magnetic properties of materials, such as contrast agents, used in MRI. These terms are diamagnetism, paramagnetism, superparamagnetism, and ferromagnetism. The persistence of magnetization when the external magnetic field is removed distinguishes ferromagnetic materials from paramagnetic materials. To be useful for MRI, the proton must have spin angular momentum, in addition to the nuclear magnetism. Echo time (TE) and repetition time (TR) are basic parameters of image acquisition. Improvement in the magnitude of the MR signal can improve signal-to-noise ratio (SNR). Magnetic resonance angiography (MRA) uses the same MRI system and methods to make images of blood vessels. The most common MRA technique is based on the time-of-flight (TOF) effect, where blood protons flowing into the slice during the acquisition yield very high signal, but signal from stationary protons is suppressed.
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