NMR Workshop on Saturdays at UM
When: Saturdays, 11am – 1pm
Where: Rm 3245, Chemistry Building
Welcome NMR Spinsters!
Taking advantage of the vast NMR experience here at UM, we have organized sessions on various NMR topics, which are held every Saturday from 11am to 1pm. The purpose is to bring the continuous flow of new students up to date, and to offer refreshers for the more seasoned spectroscopist, on the basics of NMR. Presentations in this workshop cover a range of topics, where we start from the basics of spin physics in order to understand the latest multidimensional NMR techniques in solution and solids. These meetings are open to anyone interested: from undergraduates wishing to understand a little more in depth of what is discussed at group meetings, to graduate students and postdocs wishing to sharpen their understanding or offer their perspectives. We emphasize an open format to the meetings, taking questions and encouraging group discussion of the more difficult concepts. After the session is complete, conversation is continued over lunch. If this sounds like something you would like to participate in, please contact Neil MacKinnon (nmackinn@umich.edu) to be added to the email list, and keep checking this site for updates on future topics.
Next Meeting: TBD
Previous topics:
Date: September 10, 2011
Instructor: Stéphanie Le Clair
Topic: The product operator analysis of the 2D heteronuclear HMQC experiment will be presented. Details of the experiment and expected spectral properties will be discussed. In addition, comparison with the HSQC experiment, with some potential benefits/limitations to each experiment will be explored.
Date: August 27, 2011
Instructor: Rui Huang and Wencheng Ge
Topic: The product operator analysis of the 2D heteronuclear HSQC experiment will be presented. Details of the experiment and expected spectral properties will be discussed.
Date: August 20, 2011
Instructor: Shivani Ahuja and Neil MacKinnon
Topic: Attention will now turn to two dimensional experiments. The general 2D pulse scheme will be discussed, followed by examination of a simple two-pulse experiment with demonstration of the origin of diagonal and cross peaks in the spectrum.
Date: August 13, 2011
Instructor: Shivani Ahuja and Neil MacKinnon
Topic: Examination of the INEPT sequence will start by a vector description given by Shivani. We will then draw parallels with the product operator analysis of INEPT, followed by refocused-INEPT. Emphasis will be given to applying what we have learned from smaller pulse sequences in solving more sophisticated experiments.
Date: August 6, 2011
Instructor: Neil MacKinnon
Topic: We will continue our in depth product operator analysis of the homonuclear spin-echo. After some time spent solving the problem individually, we will review the results as a group. We will also extend the result to the heteronuclear case, and examine the effect of a pi pulse applied on the S channel.
Date: July 23, 2011
Instructor: Neil MacKinnon
Topic: The product operator formalism has arrived! A concise summary of the rules for the application of the product operator formalism will be given, followed by our first foray into working through actual pulse sequences.
Date: July 16, 2011
Instructor: Neil MacKinnon
Topic: Continuing with last week’s work, we will explore the free precession of the density matrix after a pulse has been applied (i.e. coherences have been generated). We will introduce the ‘rotation sandwich’ method for rotation calculations, and prove it is equivalent to the full density matrix representation. This will be our first application of the product operator formalism.
Date: July 9, 2011
Instructor: Neil MacKinnon
Topic: After a quick review of resonance offset effects determined from the rotating-frame transformation of the RF-field Hamiltonian, we will continue with our description of a two-spin interacting system. We will derive the free precession propagator and examine what happens to the populations and coherences of a generalized density matrix. We will then apply a pulse to the thermal equilibrium density matrix and examine the results.
Date: June 18, 2011
Instructor: Shivani Ahuja
Topic: What do you do if you see no signal? A continuation of spectrometer troubleshooting, building on last week’s lesson. First, the important distinction between Varian and Bruker power level definitions will be detailed. We will then visit an actual spectrometer and learn where signals are generated, and trace the signal using an oscilloscope through the various components from the SGU to the pre-amplifier.
Date: June 11, 2011
Instructor: Shivani Ahuja
Topic: What do you do if you see no signal? A brief review of our previous work, followed by a hardware discussion geared towards spectrometer troubleshooting. The responsibility of various spectrometer components will be discussed, including pulse generation, timing, and amplification.
Date: May 28, 2011
Instructor: Neil MacKinnon
Topic: After last week’s review session, several questions arose which warrant further clarification. Specifically, we will show how to transform the Hamiltonian into the rotating frame utilizing our understanding of rotation operators. The importance of such a transformation will be highlighted with the RF-field Hamiltonian, where explicit time dependence is removed.
Date: May 21, 2011
Instructor: Shivani Ahuja
Topic: After a brief hiatus, a chance for review! Discussion will be focused on reworking notes from Mar. 26’s meeting to refresh our memories, helping to ensure a firm understanding is developed.
Date: Apr. 2, 2011
Instructor: Neil MacKinnon
Topic: We will wrap up our description of the non-interacting spin-1/2 ensemble, and move on to a two spin-1/2 system which is allowed to interact. We will examine the relevant Hamiltonian and construct the appropriate basis set, operators and density matrix for this system.
Date: Mar. 26, 2011
Instructor: Neil MacKinnon
Topic: With our understanding of rotation operators, we will now increase the complexity of our system from an isolated spin-1/2 to an ensemble of non-interacting spin-1/2. Density matrix formalism will be introduced, and examination of the response of our ensemble to free precession and RF pulses will be explored.
Date: Mar. 12, 2011
Instructor: Shivani Ahuja
Topic: Welcome back from spring break! As promised, we will hold a review session covering all quantum mechanical treatments to date. Problems will also be provided to work through during the class.
Date: Feb. 26 – Mar. 5, 2011
Spring Break! We will be taking a short hiatus for spring break. We will be reconvening on March 12, 2011 where we will offer a review session (including problems to work through) on the material we have covered.
Date: Feb. 12, 2011
Instructor: Neil MacKinnon
Topic: Continuation of quantum mechanical description. Rotation operators will be discussed, and their importance in describing precession demonstrated. A two-spin system will be introduced.
Date: Feb. 5, 2011
Instructor: Neil MacKinnon
Topic: Attention now turns to a quantum mechanical description of NMR. While not meant to be a general introduction to quantum mechanics, some basic tools necessary for a description of NMR will be introduced. Focus will be on a single spin and derivation of matrix formalism of wavefunctions and operators.
Date: Jan. 29, 2011
Instructors: Rui Huang, Shirley Lee and Neil MacKinnon
Topic: Wrap-up of review. New material will include the introduction of chemical shift and J-coupling interactions and mechanisms.
Date: Jan. 22, 2011
Instructors: Rui Huang and Shirley Lee
Topic: This week will be a review of all topics covered to date.
Date: Jan. 15, 2011
Instructor: Vivekanandan Subramanian
Topic: Continuation of examination of spectrometer hardware. Focus will be devoted to pulse generation, transmission to the probe, and signal reception. Quadrature detection and analog-to-digital conversion will also be discussed.
Date: Dec. 4, 2010
Instructor: Shivani Ahuja
Topic: Attention will now turn to spectrometer hardware. In this session, presentation of probe design with particular focus on circuit tuning and matching will be done. An actual probe will be on hand, and the tuning and matching will be monitored on an oscilloscope.
Date: Nov. 20, 2010
Instructor: Shivani Ahuja
Topic: Continuation of FT, with specific attention to FID processing and window functions. The application of various window functions and the resulting spectral effects will be discussed.
Date: Nov. 6, 2010
Instructor: Shivani Ahuja
Topic: The mathematics of the Fourier transform (FT) will be introduced, along with its importance to pulsed NMR experiments. This will lead naturally to line shape equations (Lorentzian/Gaussian).
Date: Oct. 30, 2010
Instructor: Neil MacKinnon
Topic: Continuation of classical description of magnetization precession, this time in the presence of an applied excitation field (B1). Rotating frame of reference will be introduced, and effects of on-resonance versus off-resonance B1 fields will be discussed.
Date: Oct. 23, 2010
Instructor: Neil MacKinnon
Topic: Introduction to classical description of nuclear magnetism. Development of bulk magnetization and precession within a large static magnetic field (Bo) will be derived (Bloch Equations).