Determination of Spin-Lattice Relaxation Time using 13C NMR

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Presentation transcript:

Determination of Spin-Lattice Relaxation Time using 13C NMR CHEM 146_Experiment #4 Determination of Spin-Lattice Relaxation Time using 13C NMR Yat Li Department of Chemistry & Biochemistry University of California, Santa Cruz

Objective In this laboratory experiment, we will learn: The basic theory of Nuclear Magnetic Resonance (NMR) and pulse NMR spectroscopy How to use inversion-recovery technique to determine relaxation time (T1) of carbon atoms in an aliphatic alcohol

Nuclear magnetic resonance (NMR) Absorption spectroscopy: radio-frequency region 3 MHz to 30000 MHz Transition between magnetic energy levels of the nuclei Atomic nuclei possess spin (angular momentum, with half integer spin number)

Basic theory of NMR Spinning nuclei behave like a tiny bar magnet with a magnetic moment m In an external magnetic field (B0), the magnetic moment of nuclei may assume any one of the 2I + 1 orientations with respect to the direction of the B0

Basic theory of NMR The energy difference DE has shown to be a function of the B0, and can be quantify by this equation DE = hn = hgB0/2p (g = 2pm/hI) The precessional frequency of spinning nucleus is exactly equal to the frequency of EM radiation necessary to induce a transition from one nuclear spin state to another n = gB0/2p

Basic theory of NMR The population differences between these energy states, the differences at equilibrium being defined by the Boltzmann equation. Na Nb = eDE/RT Na & Nb : population of a and b spin states Probability of observing absorption of energy is quite small Larger B0 (large DE) and lower T lead to higher sensitivity

Chemical shift Circulating electron cloud: d = （n – nref ）/ nref d (ppm) = chemical shift (Hz) oscillator frequency (Hz) x 106 Circulating electron cloud: Shield or deshield applied field Resonance at different frequencies Differences in the chemical environment modify the electron density and distribution about nuclei

NMR spectrum Chemical shift: chemical environment Coupling: how nuclei interact with each other Intensity: number of nuclei

Pulse NMR_vector model According to Boltzmann distribution there is a slightly excess of a-spin state, which results in a net magnetization vector M, along the +z axis (which is defined as being parallel to B0) Apply a second magnetic field (B1) associated with the radiofrequency radiation of the transmitter pulse

Pulse NMR_data acquisition A pulse which places M to exactly in the x-y plane. Any magnetization that is in the x-y plane will be rotating at its Larmor frequency and induce an oscillating voltage in the coil

Determination of spin-lattice relaxation (T1) Design of pulse NMR experiment: Pulse sequence: delay (D1) - 180° pulse - delay τ (D7) - 90° pulse - acquisition (FID).

Determination of spin-lattice relaxation (T1) The evolution of the longitudinal (Z) component of nuclear magnetization towards equilibrium with the lattice is exponential in time with the time constant T1: dMz dt = -(Mz- M0) T1 Mz = M0 (1 - 2e-t /T1) 13C NMR T1 spectrum: