Name: how electron density shields nuclei in nmr
Uploaded: 2024-04-04T10:51:42.000Z
Duration: 1 min 14 s
Channel: JoVE

분자에서 적용된 자기장 B0 는 핵을 둘러싼 전자 밀도를 순환시켜 국소 반자성 전류를 설정하여 B0 에 반대되는 국소 자기장 B국부를 유도합니다.
따라서 이러한 핵이 경험하는 유효 자기장 Beffective는 국소 반자기 차폐라고 하는 현상에서 B 0에서 B국소를 뺀 것과 같습니다.
기본적으로 B국소는 핵을 둘러싼 전자 밀도에 따라 증가하여 차폐가 증가하고 B효과가 낮아집니다.
전자 밀도는 분자 내에서 다양하기 때문에 각 핵은 다른 정도로 차폐되고 다른 유효 장을 경험합니다.
전자 밀도가 높은 환경의 핵은 적용된 자기장으로부터 잘 차폐되어 있으며 더 낮은 B효과를 경험합니다.
따라서 스핀을 뒤집는 데 필요한 에너지는 전자가 부족한 환경에서 차폐가 잘 되지 않은 핵에 필요한 에너지보다 적습니다.
결과적으로, 차폐된 핵은 탈차폐된 핵보다 흡수 빈도가 낮습니다.

강의:핵의 반자기 차폐: 국소 반자기 전류

Diamagnetic Shielding of Nuclei: Local Diamagnetic Current

적용된 자기장은 분자에 존재하는 전자를 순환시켜 분자 내에 국소적인 반자성 전류를 설정합니다. 순환하는 시그마 결합 전자로부터 발생하는 국소 반자성 전류는 적용된 자기장 B0에 반대되는 자기장 Blocal 을 유도합니다. 이러한 핵이 경험하는 유효 자기장은 국소 반자기 차폐라는 현상에서 적용된 자기장과 국소 자기장 사이의 차이에 의해 제공됩니다. 본질적으로 Blocal 은 핵 주변의 전자 밀도에 따라 증가하여 차폐가 증가하고 Beffective가 낮아집니다. 전자 밀도는 분자 내에서 다양하기 때문에 동일한 분자 내의 핵은 서로 다른 정도로 보호되고 서로 다른 유효 필드를 경험합니다. 전자가 밀집된 환경의 핵은 적용된 자기장으로부터 잘 보호되며 Beffective가 더 낮습니다. 결과적으로 스핀을 뒤집는 데 필요한 에너지는 전자가 부족한 환경에서 제대로 보호되지 않은 핵에 필요한 에너지보다 적습니다. 따라서 차폐된 핵은 벗겨진 핵보다 낮은 주파수에서 공명을 경험합니다. 공명 주파수는 NMR 스펙트럼에 표시되므로 이러한 스펙트럼은 반자기 차폐에 민감합니다.

적용된 자기장은 분자에 존재하는 전자를 순환시켜 분자 내에 국소 반자성 전류를 설정합니다. 지역 ...

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

Education

교육

JoVE Core

Analytical Chemistry

분석 화학

Unit 1

제1단원

Principles of Nuclear Magnetic Resonance

핵자기공명 원리

KEY TERMS AND CONCEPTS

주요 용어 및 개념

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 called local diamagnetic shielding.

Shielding depends on electron density around the nucleus. A nucleus in an electron-dense area experiences a stronger local field and a lower effective field. A nucleus in an electron-poor area is less shielded and experiences a higher effective field.

These differences change the energy needed to flip nuclear spin. A well-shielded nucleus needs less energy than a poorly shielded nucleus. As a result, shielded nuclei resonate at lower frequencies than deshielded nuclei. Because resonance frequencies appear on the NMR spectrum, NMR signals are sensitive to diamagnetic shielding.

How Electron Density Shields Nuclei in NMR

how-electron-density-shields-nuclei-in-nmr

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

atomic-nuclei-larmor-precession-frequency

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...

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

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 electron density creates local diamagnetic shielding in NMR, changes the effective magnetic field, and shifts resonance frequencies on the spectrum.

How Electron Density Shields Nuclei in NMR | JoVE K12

analytical chemistry

JoVE Core Analytical Chemistry simplifies complex chemical principles by breaking them down into clear, engaging animations, making topics from SI Units to NMR spectroscopy more accessible and straightforward. Additionally, the scientist-in-action videos highlight the application of these concepts in real-world research conducted in laboratories globally.

How Electron Density Shields Nuclei in NMR

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