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Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

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Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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NMR Spectrometers: Resolution and Error Correction01:14

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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR01:15

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NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences01:17

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A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
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In an NMR sample, precise measurement of the absolute absorption frequencies of nuclei is difficult. A standard internal reference compound is added, and the frequency difference between the reference signal and sample signals is measured.
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Atomic Nuclei: Nuclear Relaxation Processes01:23

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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Temperature distribution in a solid state NMR sample rotor during MAS experiments.

Masashi Kitamura1, Atsushi Asano

  • 1Department of Applied Chemistry, National Defense Academy.

Analytical Sciences : the International Journal of the Japan Society for Analytical Chemistry
|November 12, 2013
PubMed
Summary

Investigating temperature distribution in solid-state nuclear magnetic resonance (NMR) rotors using lead nitrate revealed significant temperature gradients. This study visualized these gradients and corrected temperature-dependent data for accurate analysis in magic angle spinning (MAS) experiments.

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Area of Science:

  • Solid-state Nuclear Magnetic Resonance (NMR) Spectroscopy
  • Materials Science
  • Physical Chemistry

Background:

  • Magic Angle Spinning (MAS) experiments in solid-state NMR are crucial for high-resolution analysis.
  • Accurate temperature determination within the sample rotor is essential for reliable experimental data.
  • Inconsistencies in temperature measurements can arise from different sample positions within the rotor.

Purpose of the Study:

  • To investigate and visualize the temperature distribution within a solid-state NMR sample rotor during MAS experiments.
  • To analyze the impact of sample placement on temperature gradients.
  • To correct for temperature-dependent artifacts in experimental data, specifically (1)H spin-lattice relaxation time (T1(H)).

Main Methods:

  • Utilized solid lead nitrate (Pb(NO3)2) as a temperature-sensitive probe by analyzing its (207)Pb chemical shift.
  • Prepared three custom NMR rotors with Pb(NO3)2 partitioned using Teflon spacers at different positions.
  • Measured and analyzed the temperature distribution across various sample locations within the rotor.

Main Results:

  • A significant temperature gradient was observed within the NMR sample rotor.
  • The temperature distribution was found to be directly related to the placement of the sample within the rotor.
  • The visualized temperature distribution allowed for the correction of divergent temperature dependencies of (1)H spin-lattice relaxation time (T1(H)).

Conclusions:

  • Solid-state NMR rotors exhibit substantial temperature gradients during MAS experiments.
  • Sample placement critically influences the observed temperature distribution.
  • Accurate temperature correction based on visualized gradients enhances the reliability of NMR data, particularly relaxation measurements.