Category: MRI
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Resonance: A Mathematical Foundation of NMR Spectroscopy and Chemical Structure
Chapter 1: Introduction to Nuclear Magnetic Resonance: A Chemical Perspective 1.1 The Chemical Origins of NMR: Connecting Molecular Structure to Spectroscopic Parameters Nuclear Magnetic Resonance (NMR) spectroscopy has become an indispensable tool for chemists across diverse fields, from elucidating the structure of complex natural products to probing the dynamics of biological macromolecules. Its power lies…
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MRI Pulse Sequences and Mathematics
Chapter 1: Laying the Foundation: A Review of Linear Algebra and Signal Processing for MRI 1.1 Vector Spaces, Linear Transformations, and Basis Functions in MRI: Exploring k-space as a Vector Space and the Fourier Transform as a Linear Transformation In the realm of Magnetic Resonance Imaging (MRI), a profound understanding of linear algebra is not…
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Magnetic Resonance Imaging: A Dive into its Physics
Chapter 1: The Quantum Underpinnings: A Journey into Nuclear Spin and Magnetic Moments 1. The Intrinsic Angular Momentum: Demystifying Nuclear Spin and its Quantization At the heart of nuclear magnetic resonance (NMR) lies a fundamental property of atomic nuclei known as nuclear spin. Unlike the classical notion of a spinning top, nuclear spin is an…
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MRI: Cryogen free tech
New Cryogen-Free Technology for Achieving Superconductivity Cryogen-free technology for superconductivity refers to systems that achieve and maintain the low temperatures required for superconducting states without relying on traditional cryogenic liquids like liquid helium (boiling point ~4.2 K) or liquid nitrogen (boiling point ~77 K). Instead, these systems use closed-cycle cryocoolers, such as pulse tube cryocoolers…
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MRI: Quantum coherence
Multiple quantum coherence (MQC) is a central concept in nuclear magnetic resonance (NMR) spectroscopy, describing the correlated evolution of multiple nuclear spins in a quantum mechanical system. It plays a critical role in advanced NMR experiments, enabling the study of molecular structure, dynamics, and interactions with high resolution and sensitivity. Below, I provide a comprehensive…