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 1 The basic theory of Nuclear Magnetic Resonance NMR and pulse NMR spectroscopy 2 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 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 E has shown to be a function of the B0 and can be quantify by this equation E h h B0 2 2 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 B0 2 Basic theory of NMR The population differences between these energy states the differences at equilibrium being defined by the Boltzmann equation N N e E RT N N population of and spin states Probability of observing absorption of energy is quite small Larger B0 large E and lower T lead to higher sensitivity Chemical shif ppm chemical shift Hz oscillator frequency Hz n nref nref 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 x 106 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 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 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 Mz M0 T1 d Mz M0 1 2e T1 13 C NMR T1 spectrum