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Nuclear Magnetic Resonance Chapter 15 15-1 Electromagnetic Radiation  Electromagnetic radiation: light and other forms of radiant energy  = c & E = h  Wavelength (): the distance between consecutive identical points on a wave  Frequency (n): the number of full cycles of a wave that pass a point in a second  Hertz (Hz): the unit in which radiation frequency is reported; s-1 (read “per second”) 15-2 Electromagnetic Radiation   Wavelength 15-3 Molecular Spectroscopy  We study three types of molecular spectroscopy Region of the Electromagnetic Spectrum Absorption of Electromagnetic Radiation Results in Transition Between radio frequency nuclear spin energy levels infrared vibrational energy levels ultraviolet-visible electronic energy levels 15-4 A pictorial view of UV/Vis UV/Vis radiation is measured in nm (wavelength) 15-5 IR Spectroscopy radiation is measured in cm-1  This is actually a frequency. Remember that frequency and wavelength are inversely proportional.  IR 15-6 NMR Spectroscopy  NMR uses radiowaves, measured in MHz 15-7 Nuclear Magnetic Resonance Spectroscopy Introduction to NMR • When a charged particle such as a proton spins on its axis, it creates a magnetic field. Thus, the nucleus can be considered to be a tiny bar magnet. • Normally, these tiny bar magnets are randomly oriented in space. However, in the presence of a magnetic field B0, they are oriented with or against this applied field. • The energy difference between these two states is very small (<0.1 cal). 15-8 Nuclear Spins in B0 and 13C, only two orientations are allowed. higher Energy  For 1H energy state spin -1/2 (aligned against the applied field lower energy state spin +1/2 (aligned with the applied field 15-9 Nuclear Spins in B0  In an applied field strength of 7.05T, which is readily available with present-day superconducting electromagnets, the difference in energy between nuclear spin states for • 1H is approximately 0.0286 cal/mol, which corresponds to electromagnetic radiation of 300 MHz (300,000,000 Hz)(300MHz) • 13C is approximately 0.00715 cal/mol, which corresponds to electromagnetic radiation of 75MHz (75,000,000 Hz)(75 MHz) 15-10 Population in high vs low  E= 0.0286 cal/mol RT=582cal/mol  If pop in high E state is 1,000,000 then pop in low energy state is 1,000,049 nuclei in high E state  E / RT e nuclei in low E state 15-11 NMR Spectroscopy  NMR uses radiowaves, measured in MHz  The energy transitions depend on the strength of the magnetic field which is different from machine to machine  We define the machine independent ppm as n 6   10 Oscillator frequency 15-12 Nuclear Magnetic Resonance we were dealing with 1H nuclei isolated from all other atoms and electrons, any combination of applied field and radiation that produces a signal for one 1H would produce a signal for all 1H. The same is true of 13C nuclei  But hydrogens in organic molecules are not isolated from all other atoms; they are surrounded by electrons, which are caused to circulate by the presence of the applied field  If 15-13 Electrons Shield What causes differences? Electrons shield. Remove electrons they de-shield. 15-14 Electron Withdrawing groups deshield by removing electron density “I suck” 15-15 Electron density can be added or removed through the p or s systems 15-16 Field currents in benzene H0 15-17 Ring currents usually deshield 15-18 Alkenes 15-19 Nuclear Magnetic Resonance  It is customary to measure the resonance frequency (signal) of individual nuclei relative to the resonance frequency (signal) of a reference compound  The reference compound now universally accepted is tetramethylsilane (TMS) CH 3 H3 C Si CH 3 CH 3 Tetramethylsilane (TMS) 15-20 Nuclear Magnetic Resonance Spectroscopy 1H NMR—The Spectrum • An NMR spectrum is a plot of the intensity of a peak against its chemical shift, measured in parts per million (ppm). 15-21 Nuclear Magnetic Resonance For a 1H-NMR spectrum, signals are reported by their shift from the 12 H signal in TMS  For a 13C-NMR spectrum, signals are reported by their shift from the 4 C signal in TMS   Chemical shift (): the shift in ppm of an NMR signal from the signal of TMS = Shift in frequency from TMS (Hz) Frequency of s pectrometer (Hz) 15-22 Equivalent Hydrogens Equivalent hydrogens: have the same chemical environment (Section 2.3C)  Molecules with  • 1 set of equivalent hydrogens give 1 NMR signal • 2 or more sets of equivalent hydrogens give a different NMR signal for each set Cl CH3 CHCl 1,1-Dichloroethane (2 signals) Cl O Cyclopentanone (2 signals) CH3 C C H H (Z)-1-Chloropropene (3 signals) Cyclohexene (3 signals) 15-23 Nuclear Magnetic Resonance Spectroscopy 1H NMR—Chemical Shift Values 15-24 15-25 Chemical Shift   Depends on (1) electronegativity of nearby atoms, (2) the hybridization of adjacent atoms, and (3) magnetic induction within an adjacent pi bond Electronegativity CH3 -X Electronegativity of X CH3 F CH3 OH CH3 Cl 4.0 3.5 3.1 4.26 3.47 3.05 CH3 Br CH3 I (CH 3 ) 4 C 2.8 2.5 2.1 2.68 2.16 0.86 (C H3 ) 4 Si 1.8 0.00 (by definition  of H 15-26 Methyl Acetate 15-27 Signal Splitting (n + 1)  Peak: the units into which an NMR signal is split; doublet, triplet, quartet, etc.  Signal splitting: splitting of an NMR signal into a set of peaks by the influence of neighboring nonequivalent hydrogens + 1) rule: the 1H-NMR signal of a hydrogen or set of equivalent hydrogens is split into (n + 1) peaks by a nonequivalent set of n equivalent neighboring hydrogens15-28  (n Signal Splitting (n + 1) n = 1. Their signal is s plit into (1 + 1) or 2 peaks ; a doublet Cl CH3 -CH-Cl n = 3. Its s ignal is s plit into (3 + 1) or 4 peaks ; a quartet predict the number of 1H-NMR signalsOand the splitting pattern O of each  Problem: (a) CH 3 CCH2 CH3 (b) CH3 CH2 CCH2 CH3 O (c) CH3 CCH(CH 3 ) 2 15-29 Origins of Signal Splitting  When the chemical shift of one nucleus is influenced by the spin of another, the two are said to be coupled  Consider nonequivalent hydrogens Ha and Hb on adjacent carbons • the chemical shift of Ha is influenced by whether the spin of Hb is aligned with or against the applied field Ha Hb C C 15-30 Origins of Signal Splitting B0 Hb Magnetic field of H b subtracts from the applied field; H b signal appears at a higher applied field Hb Magnetic field of H b adds to the applied field; H a signal appears at a lower applied field Ha 15-31 Origins of Signal Splitting  Table 13.8 Observed signal splitting patterns for an H with 0, 1, 2, and 3 equivalent neighboring hydrogens Structure Spin States of H b Signal of H a Ha C C Ha Hb C 1 1 C 15-32 Origins of Signal Splitting  Table 13.8 (contd.) Ha Hb C C 1 2 1 Hb Ha Hb C C Hb 1 3 3 1 Hb 15-33 Coupling Constants  Coupling constant (J): the distance between peaks in an NMR multiplet, expressed in hertz • J is a quantitative measure of the magnetic interaction of nuclei whose spins are coupled Ha Ha HaHb Hb -C-CHb 6-8 Hz 8-14 Hz Ha Ha C C Ha Hb C C Hb 11-18 Hz 0-5 Hz 5-10 Hz C C Hb 0-5 Hz 15-34 Ethyl acetate 15-35 Isopropyl alcohol 15-36 13C-NMR Spectroscopy Each nonequivalent 13C gives a different signal  A 13C is split by the 1H bonded to it according to the (n + 1) rule  Coupling constants of 100-250 Hz are common, which means that there is often significant overlap between signals, and splitting patterns can be very difficult to determine  The most common mode of operation of a 13C-NMR spectrometer is a hydrogendecoupled mode 15-37  13C-NMR  Spectroscopy In a hydrogen-decoupled mode, a sample is irradiated with two different radio frequencies • one to excite all 13C nuclei • a second is a broad spectrum of frequencies that causes all hydrogens in the molecule to undergo rapid transitions between their nuclear spin states  On the time scale of a 13C-NMR spectrum, each hydrogen is in an average or effectively constant nuclear spin state, with the result that 1H-13C spin-spin interactions are not observed; they are decoupled 15-38 Carbon – 13 shifts 15-39 15-40 C8H10 15-41 C7H12O4 15-42 C7H14O 15-43