Name: magnetic field and nuclear precession
Uploaded: 2024-04-04T10:51:40.000Z
Duration: 1 min 11 s
Channel: JoVE

地球の軸は、歳差運動と呼ばれる現象で太陽と月の引力によって、一定期間にわたってぐらつき、変化します。
同様に、回転する原子核の磁気モーメントμは、z軸に沿って向けられた印加磁場B 0により歳差運動をします。
ここで、歳差運動は、円錐を記述するためにB0場の周りを回転する原子核の回転に対応します。
磁場の周りの磁気モーメントベクトルの歳差運動は、ラーマー歳差運動と呼ばれます。歳差運動の角周波数ωは、歳差運動周波数またはラーマー周波数と呼ばれ、B0に正比例します。
磁気学比 γ は、ω と B0 の間の比例定数を表し、原子核ごとに固定されています。
ωをNMR装置の動作周波数νで表すと、項を並べ替えて方程式の両側にプランク定数を掛けると、ωとΔEの関係が得られます。

原子核: ラーモア歳差運動周波数

Atomic Nuclei: Larmor Precession Frequency

地球の重力場は、回転する質量体 (こまなど) の角運動量に垂直な「ねじり力」を生成し、これにより、歳差運動と呼ばれる現象で質量体が重力場の軸の周りで「ぐらつく」ようになります。同様に、回転原子核の磁気モーメント (μ) は、z 軸に沿った方向の外部磁場により歳差運動します。磁場の周りの磁気モーメントベクトルの歳差運動はラーモア歳差運動と呼ばれ、歳差運動の角周波数 (ω) は歳差運動またはラーモア周波数と呼ばれ、印加される磁場 (B0) に正比例します。比例定数は磁気回転比 (γ) であり、原子核ごとに固定されています。これは、各原子核がその電荷と質量に基づいて角運動量に対する磁気モーメントの比を固有に持っているためです。水素原子核 (陽子) の場合、γ の値は 2.675 × 108 T−1 s−1 です。 ω を NMR 装置の動作周波数 (ν) で表し、項を並べ替えて、方程式の両辺にプランク定数を乗算すると、ラーモア周波数とスピン状態間のエネルギー差 (ΔE) の関係が取得します。

地球の重力場は、回転する質量(回転するコマなど)の角運動量に垂直な「ねじれ力」を生成します...

atomic-nuclei-larmor-precession-frequency

Education

JoVE Core

Analytical Chemistry

分析化学

Unit 1

ユニット1

Principles of Nuclear Magnetic Resonance

核磁気共鳴の原理

KEY TERMS AND CONCEPTS

主要な用語と概念

magnetic field and nuclear precession

Magnetic field strength controls nuclear precession in NMR. A spinning nucleus has a magnetic moment, and that moment turns around an external magnetic field directed along the z-axis. This motion is called Larmor precession, and its angular frequency is the Larmor frequency.

The Larmor frequency is directly proportional to the applied magnetic field, B0. The proportionality constant is the gyromagnetic ratio, gamma. This value is fixed for each nucleus because every nucleus has its own ratio of magnetic moment to angular momentum, which depends on its charge and mass.

A hydrogen nucleus, or proton, has a gyromagnetic ratio of 2.675 × 10^8 T−1 s−1. When omega is written in terms of the operating frequency, nu, of the NMR instrument, the equation can be rearranged. Multiplying both sides by Planck's constant gives the link between Larmor frequency and the energy gap, Delta E, between the spin states.

Magnetic Field and Nuclear Precession

nuclear magnetic resonance (nmr): overview

NMR Spectra and MRI Imaging

Nuclear magnetic resonance, or NMR, is a phenomenon that certain nuclei can show when they absorb radio frequency energy under the right conditions. Scientists use it in molecular spectroscopy and in medical imaging. In both cases, the sample or the person being studied is placed in a magnetic field and exposed to radio frequency energy. In NMR spectroscopy, the result is a spectrum. This spectrum plots the absorption frequencies of the sample against peak intensity. The pattern gives detailed...

atomic nuclei: nuclear spin

Nuclear Spin and NMR-Active Nuclei

Atomic nuclei have nuclear spin, which comes from the spins of their protons and neutrons. These particle spins are intrinsic angular momentum, and each electron, proton, and neutron has a spin value of 1/2. In nuclei, proton spins pair with other protons, and neutron spins pair with other neutrons. They do not pair with each other, so the final nuclear spin depends on which nucleons are left unpaired. Even numbers of protons do not add to the nuclear spin, and even numbers of neutrons do not...

atomic nuclei: nuclear magnetic moment

Nuclear Spin States and Magnetic Alignment

Atomic nuclei can act like tiny magnets when they have a nonzero spin. Because they are positively charged and rotating, they generate a magnetic field and a magnetic moment. In the absence of an external magnetic field, this magnetic moment points in random directions. When an external magnetic field, B0, is applied, the nuclear magnetic moments can line up with the field or against it. These two directions create 2I + 1 orientations. A hydrogen nucleus is a proton, and it has spin 1/2, so it...

atomic nuclei: nuclear spin state overview

atomic-nuclei-nuclear-spin-state-overview

Zeeman Splitting in Nuclear Spin States

NMR-active nuclei have spin states that describe the orientation of their nuclear magnetic moments. Without a magnetic field, these moments point in random directions, and the spin states are degenerate, meaning they have the same energy. When an external magnetic field is applied, the nucleus can only take on 2I + 1 orientations, where I is the nuclear spin. A proton with spin 1/2 has two possible orientations. A quadrupolar nucleus with spin 1 has three possible orientations. The...

atomic nuclei: nuclear spin state population distribution

atomic-nuclei-nuclear-spin-state-population-distribution

Nuclear Spin Populations and NMR Signal

Nuclear spin populations help explain why NMR signals appear. In a magnetic field, nuclei can occupy a lower energy spin-up state or a higher energy spin-down state. Near absolute zero, most nuclei stay in the lower energy state. As temperature rises, thermal collisions spread the spins more evenly between the two states. The balance between the spin −1/2 and spin +1/2 populations is described by the Boltzmann distribution equation. In this equation, ΔE is the energy difference, k is the...

atomic nuclei: larmor precession frequency

Magnetic field strength controls nuclear precession in NMR. A spinning nucleus has a magnetic moment, and that moment turns around an external magnetic field directed along the z-axis. This motion is called Larmor precession, and its angular frequency is the Larmor frequency. The Larmor frequency is directly proportional to the applied magnetic field, B0. The proportionality constant is the gyromagnetic ratio, gamma. This value is fixed for each nucleus because every nucleus has its own ratio...

atomic nuclei: magnetic resonance

Nuclear Spins and Resonance in a Magnetic Field

Nuclear spins can line up in a magnetic field and create nuclear magnetic resonance. In the lower energy state, slightly more spins are aligned than in the higher energy state. That small difference gives the nuclei a net magnetization along the z axis.

atomic nuclei: nuclear relaxation processes

atomic-nuclei-nuclear-relaxation-processes

Nuclear Spin Alignment and Relaxation

Nuclear spin alignment and relaxation describe how nuclear spins respond to a magnetic field and then return to equilibrium. Without an external magnetic field, nuclear spin states are degenerate, meaning they have the same energy, and the spins are randomly oriented. When a magnetic field is applied, the spins begin to precess, or wobble, and orient themselves either along the field in a lower energy state or against it in a higher energy state. At equilibrium, a slight excess of spins...

atomic nuclei: types of nuclear relaxation

atomic-nuclei-types-of-nuclear-relaxation

NMR Relaxation Paths in Atomic Nuclei

Nuclear relaxation in atomic nuclei helps restore the balance between energy levels in NMR systems. It occurs through two main paths: spin-lattice relaxation and spin-spin relaxation. Both are first-order exponential decay processes. Spin-lattice relaxation is also called longitudinal relaxation. In this process, excited spins give energy to the surrounding lattice as they move back to the lower energy level. Magnetic dipolar interactions are an important part of this mechanism. A common...

nmr spectrometers: overview

How NMR Spectrometers Record Signals

NMR spectrometers record signals from samples that contain NMR-active nuclei. The system uses a strong magnet, a radiofrequency transmitter, and a detector connected to a computer console. These parts work together to measure and display the spectrum of the sample. Early NMR instruments were continuous-wave spectrometers. In a frequency-sweep method, the magnetic field stays fixed while the rf signal is swept. In a field-sweep method, the radiofrequency signal stays fixed while the magnetic...

nmr spectrometers: radiofrequency pulses and pulse sequences

nmr-spectrometers-radiofrequency-pulses-and-pulse-sequences

NMR Pulse Angles and Signal Collection

NMR pulse angles and signal collection explain how radiofrequency energy starts a measurement. A pulse is a short burst of radio waves spread across a range of frequencies. It excites the nuclei in the sample at the same time. When a radiofrequency pulse is applied along the x-axis, nuclei absorb energy that matches their Larmor frequencies and reach resonance. The net magnetization vector moves away from the z-axis and toward the transverse plane. This rotation angle is called the flip angle.

nmr spectrometers: resolution and error correction

nmr-spectrometers-resolution-and-error-correction

NMR Peak Shape and Magnetic Field Shimming

NMR peak shape depends on the signal created after magnetic nuclei resonate and relax. The detected free induction decay is approximately exponential. When that decay is Fourier transformed, it becomes a Lorentzian peak in the frequency domain. A Lorentzian peak in an NMR spectrum is described by its amplitude, full width at half maximum, and position. Its width is governed by the spin-spin relaxation time alone. In real experiments, the sample and probe can make the magnetic field...

diamagnetic shielding of nuclei: local diamagnetic current

diamagnetic-shielding-of-nuclei-local-diamagnetic-current

How Electron Density Shields Nuclei in NMR

Electron density around a nucleus affects how strongly it is shielded in NMR spectroscopy. When an applied magnetic field acts on a molecule, the electrons begin to circulate. This creates a local diamagnetic current within the molecule. The circulating sigma-bonding electrons produce a local magnetic field, B local, that opposes the applied field, B0. The nucleus then feels an effective magnetic field, which is the difference between the applied field and the local field. This effect is...

key terms and concepts

See how an external magnetic field makes a nucleus precess, how Larmor frequency depends on B0, and why gamma matters for NMR spin states.

Magnetic Field and Nuclear Precession | JoVE K12

JoVE Core 分析化学 は、複雑な化学原理をアニメーションで視覚化することで、SI 単位から NMR 分光法を含むトピックをよりわかりやすくします。実験を撮影した実写動画では、これらの概念が世界中の研究所でどのように応用されているかを取り上げています。

analytical chemistry

Magnetic Field and Nuclear Precession

Description

Transcript