https://www.physlab-wiki.com/ 2026-04-24T10:35:59+00:00 https://www.physlab-wiki.com/ https://www.physlab-wiki.com/lib/tpl/UChicago/images/favicon.ico text/html 2024-06-11T16:42:52+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.physlab-wiki.com/phylabs/lab_courses/phys-211-wiki-home/pulsed-nuclear-magnetic-resonance/pnmr-old?rev=1718138572&do=diff In 1946 nuclear magnetic resonance (NMR) in condensed matter was discovered simultaneously by Edward Purcell at Harvard and Felix Bloch at Stanford using different techniques. Both groups observed the response of magnetic nuclei, placed in a uniform magnetic field, to a continuous wave radio frequency (RF) magnetic field as the field was tuned through resonance. In 1950 Ervin Hahn, a young postdoctoral fellow at the University of Illinois, explored the response of magnetic nuclei in condensed… text/html 2024-06-11T16:42:53+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.physlab-wiki.com/phylabs/lab_courses/phys-211-wiki-home/pulsed-nuclear-magnetic-resonance/pnmr-old_121621?rev=1718138573&do=diff In 1946 nuclear magnetic resonance (NMR) in condensed matter was discovered simultaneously by Edward Purcell at Harvard and Felix Bloch at Stanford using different techniques. Both groups observed the response of magnetic nuclei, placed in a uniform magnetic field, to a continuous wave radio frequency (RF) magnetic field as the field was tuned through resonance. In 1950 Ervin Hahn, a young postdoctoral fellow at the University of Illinois, explored the response of magnetic nuclei in condensed… text/html 2024-06-11T16:42:52+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.physlab-wiki.com/phylabs/lab_courses/phys-211-wiki-home/pulsed-nuclear-magnetic-resonance/pnmr-winter2024?rev=1718138572&do=diff Pulsed Nuclear Magnetic Resonance (Winter 2023) In 1946 nuclear magnetic resonance (NMR) in condensed matter was discovered simultaneously by Edward Purcell at Harvard and Felix Bloch at Stanford using different techniques. Both groups observed the response of magnetic nuclei, placed in a uniform magnetic field, to a continuous wave radio frequency (RF) magnetic field as the field was tuned through resonance. $\mathrm{T}_1$$\mathrm{T}_2$$\mathrm{T}_1$$\mathrm{T}_2$$\mathrm{T}_1$$z$$xy$$z$$… text/html 2024-06-11T16:42:52+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.physlab-wiki.com/phylabs/lab_courses/phys-211-wiki-home/pulsed-nuclear-magnetic-resonance/pnmr_121522?rev=1718138572&do=diff Pulsed Nuclear Magnetic Resonance (Winter 2022) In 1946 nuclear magnetic resonance (NMR) in condensed matter was discovered simultaneously by Edward Purcell at Harvard and Felix Bloch at Stanford using different techniques. Both groups observed the response of magnetic nuclei, placed in a uniform magnetic field, to a continuous wave radio frequency (RF) magnetic field as the field was tuned through resonance. $\mathrm{T}_1$$\mathrm{T}_2$$\mathrm{T}_1$$\mathrm{T}_2$$\mathrm{T}_1$$z$$xy$$z$$… text/html 2022-11-10T12:35:02+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.physlab-wiki.com/phylabs/lab_courses/phys-211-wiki-home/pulsed-nuclear-magnetic-resonance/pnmr_ensemble_behavior?rev=1668101702&do=diff Behavior of an ensemble of protons in an external magnetic field T1 and T2 In PNMR, one does not directly observe the behavior of individual nuclei (protons in our case). What is measured are the macroscopic bulk magnetization, $\bf M$, arising from the alignment of large numbers of nuclei.$10^{19}$$\Delta E =0$${\bf B} = B_0 \bf{\hat{z}}$$m_l = +1/2$${\bf B}$$m_l = - 1/2$${\bf B}$$N_1$$N_2$$(N_1/N_2)$$\dfrac{N_1}{N_2} = e^{\frac{-\Delta E}{k_BT}} = e^{{-\hbar\omega_0/k_BT}}$$T$$k_B$$\Delta E =… text/html 2022-07-26T16:50:41+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.physlab-wiki.com/phylabs/lab_courses/phys-211-wiki-home/pulsed-nuclear-magnetic-resonance/pnmr_single_particle_theory?rev=1658868641&do=diff Behavior of a single particle in an external magnetic field It is useful to model nuclei as spinning bar magnets with an intrinsic magnetic dipole moment, $\boldsymbol{\mu}$, and an angular momentum, $\bf L$. In free space, a magnetic moment, $\boldsymbol{\mu}$, is free to point in any direction. However, if an external magnetic field $\bf B$$\boldsymbol{\mu}$$\boldsymbol{\mu}$$\bf B$$\bf B$$\boldsymbol{\mu}$$\bf B$$\bf B$$\boldsymbol{\tau} = \boldsymbol{\mu} \times \bf{B}$$\boldsymbol{\mu}$$\b… text/html 2022-07-26T16:54:07+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.physlab-wiki.com/phylabs/lab_courses/phys-211-wiki-home/pulsed-nuclear-magnetic-resonance/pnmr_technique?rev=1658868847&do=diff PNMR Technique This page goes into some of the details of how the technique of Pulsed Nuclear Magnetic Resonance uses magnetic fields to manipulate and make measurements of the bulk magnetization created by protons in a sample. This discussion is specific to the implementation of PNMR in the TeachSpin apparatus.$x$$x$$y$$z$$x$$z$$M_z$$xy$$z$$\omega$$x$$xy$$M_{xy}$$M_x$$xy$${\bf B} = B_0\hat{\bf z}$$z$${\bf M} = M_0\hat{\bf z}$$M_0$$xy$$xy$${\bf B}_{RF} = 2B_1\cos(\omega t)\hat{\bf x}$${\bf B}_… text/html 2026-04-23T15:54:14+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.physlab-wiki.com/phylabs/lab_courses/phys-211-wiki-home/pulsed-nuclear-magnetic-resonance/solution-preparation?rev=1776974054&do=diff Preparation of $CuSO_{4}+H_{2}O$ solutions for PNMR The Copper Sulfate solution is (and should be) kept in the yellow chemical storage cabinet when not in use. Typically it can be found on the second shelf from the top. Clean, fresh DDI water should be used for the dilutions. For the best results take a clean pyrex bottle, that has been rinsed thoroughly with Isopropol alcohol to ensure there is no residue inside, over to William Irvines lab where he has a DDI water dispenser we can use. … text/html 2024-06-11T16:42:53+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.physlab-wiki.com/phylabs/lab_courses/phys-211-wiki-home/pulsed-nuclear-magnetic-resonance/start?rev=1718138573&do=diff Pulsed Nuclear Magnetic Resonance (Winter 2023) In 1946 nuclear magnetic resonance (NMR) in condensed matter was discovered simultaneously by Edward Purcell at Harvard and Felix Bloch at Stanford using different techniques. Both groups observed the response of magnetic nuclei, placed in a uniform magnetic field, to a continuous wave radio frequency (RF) magnetic field as the field was tuned through resonance. $\mathrm{T}_1$$\mathrm{T}_2$$\mathrm{T}_1$$\mathrm{T}_2$$\mathrm{T}_1$$z$$xy$$z$$…