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Basics of NMR Spectroscopy B o N S Magnet B 1 Frequency Generator Recorder Detector Electromagnetic Spectrum Electromagnetic Spectrum Electronic Electromagnetic Spectrum Electronic Vibration Electromagnetic Spectrum Electronic


  1. Basics of NMR Spectroscopy B o N S Magnet B 1 Frequency Generator Recorder Detector

  2. Electromagnetic Spectrum

  3. Electromagnetic Spectrum Electronic

  4. Electromagnetic Spectrum Electronic Vibration

  5. Electromagnetic Spectrum Electronic Vibration Rotation

  6. Electromagnetic Spectrum Electronic Vibration Rotation Spin resonance

  7. Nuclear Magnetic Resonance (NMR) Certain nuclei absorb radiofrequencies (electromagnetic radiation) when they are placed in a magnetic field. Essential criterion: spin number ( I )  0.  I = 0 • Even atomic mass & number ( 12 C, 16 O)  I = whole integer • Even atomic mass & odd number ( 14 N, 2 H, 10 B)  I = half integer • Odd atomic mass ( 1 H, 13 C, 15 N, 31 P) Angular momentum = [I(I+1)] 1/2 h/2  Z-component of angular momentum = m h/2  m = I, (I - 1), (I - 2), … , -I For 1 H: m = 1/2, -1/2

  8. Nuclear Magnetic Resonance (NMR) Certain nuclei absorb radiofrequencies (electromagnetic radiation) when they are placed in a magnetic field. Essential criterion: spin number ( I )  0.  I = 0 • Even atomic mass & number ( 12 C, 16 O)  I = whole integer • Even atomic mass & odd number ( 14 N, 2 H, 10 B)  I = half integer • Odd atomic mass ( 1 H, 13 C, 15 N, 31 P) Angular momentum = [I(I+1)] 1/2 h/2  Z-component of angular momentum = m h/2  m = I, (I - 1), (I - 2), … , -I For 1 H: m = 1/2, -1/2

  9. Nuclear Magnetic Resonance (NMR) Certain nuclei absorb radiofrequencies (electromagnetic radiation) when they are placed in a magnetic field. Essential criterion: spin number ( I )  0.  I = 0 • Even atomic mass & number ( 12 C, 16 O)  I = whole integer • Even atomic mass & odd number ( 14 N, 2 H, 10 B)  I = half integer • Odd atomic mass ( 1 H, 13 C, 15 N, 31 P) Angular momentum = [I(I+1)] 1/2 h/2  Z-component of angular momentum = m h/2  m = I, (I - 1), (I - 2), … , -I For 1 H: m = 1/2, -1/2

  10. Nuclear Magnetic Resonance (NMR) Certain nuclei absorb radiofrequencies (electromagnetic radiation) when they are placed in a magnetic field. Essential criterion: spin number ( I )  0.  I = 0 • Even atomic mass & number ( 12 C, 16 O)  I = whole integer • Even atomic mass & odd number ( 14 N, 2 H, 10 B)  I = half integer • Odd atomic mass ( 1 H, 13 C, 15 N, 31 P) Angular momentum = [I(I+1)] 1/2 h/2  Z-component of angular momentum = m h/2  m = I, (I - 1), (I - 2), … , -I For 1 H: m = 1/2, -1/2

  11. Nuclear Magnetic Resonance (NMR) Certain nuclei absorb radiofrequencies (electromagnetic radiation) when they are placed in a magnetic field. Essential criterion: spin number ( I )  0.  I = 0 • Even atomic mass & number ( 12 C, 16 O)  I = whole integer • Even atomic mass & odd number ( 14 N, 2 H, 10 B)  I = half integer • Odd atomic mass ( 1 H, 13 C, 15 N, 31 P) Angular momentum = [I(I+1)] 1/2 h/2  Z-component of angular momentum = m h/2  m = I, (I - 1), (I - 2), … , -I For 1 H: m = 1/2, -1/2

  12. The effect of magnetic fields on nuclei For a steady magnetic field B 0 , E = -m B 0 ( m = Magnetic moment = g I ) g = Magnetogyric ratio; g ħ = g l m N ) m N = eħ/2m p = Nuclear magneton = 5.051 x 10 -27 JT -1 g l = Nuclear g factor (Range = -6 to +6), Ĥ = - g B 0 î Considering the field to be along the z-direction, m z = g I z = g m ħ ; E = - m z B 0 = - g m ħ B 0 Different spin states have different energies in the presence of a magnetic field

  13. The effect of magnetic fields on nuclei For a steady magnetic field B 0 , E = -m B 0 ( m = Magnetic moment = g I ) g = Magnetogyric ratio; g ħ = g l m N ) m N = eħ/2m p = Nuclear magneton = 5.051 x 10 -27 JT -1 g l = Nuclear g factor (Range = -6 to +6), Ĥ = - g B 0 î Considering the field to be along the z-direction, m z = g I z = g m ħ ; E = - m z B 0 = - g m ħ B 0 Different spin states have different energies in the presence of a magnetic field

  14. The effect of magnetic fields on nuclei For a steady magnetic field B 0 , E = -m B 0 ( m = Magnetic moment = g I ) g = Magnetogyric ratio; g ħ = g l m N ) m N = eħ/2m p = Nuclear magneton = 5.051 x 10 -27 JT -1 g l = Nuclear g factor (Range = -6 to +6), Ĥ = - g B 0 î Considering the field to be along the z-direction, m z = g I z = g m ħ ; E = - m z B 0 = - g m ħ B 0 Different spin states have different energies in the presence of a magnetic field

  15. N uclear M agnetic R esonance Spin ½ nucleus ( 1 H, 13 C)

  16. N uclear M agnetic R esonance Spin ½ nucleus ( 1 H, 13 C)  E = E  -E  = ½ g ħB 0 – (- ½ g ħB 0 ) = g ħB 0

  17. N uclear M agnetic R esonance Spin ½ nucleus ( 1 H, 13 C)  E = E  -E  = ½ g ħB 0 – (- ½ g ħB 0 ) = g ħB 0 = h  L i.e.  L = g B 0 / 2 

  18. N uclear M agnetic R esonance Spin ½ nucleus ( 1 H, 13 C)  E = E  -E  = ½ g ħB 0 – (- ½ g ħB 0 ) = g ħB 0 = h  L i.e.  L = g B 0 / 2  Resonance: The energy of the EM radiation matches the energy gap B 0 = 12T,  L = 500 MHz for protons

  19. N uclear M agnetic R esonance Spin ½ nucleus ( 1 H, 13 C)  E = E  -E  = ½ g ħB 0 – (- ½ g ħB 0 ) = g ħB 0 = h  L i.e.  L = g B 0 / 2  Resonance: The energy of the EM radiation matches the energy gap B 0 = 12T,  L = 500 MHz for protons  L : precessional frequency

  20. Chemical shift The chemical environment alters the effective magnetic field on the nuclei B eff = B o ( 1 - s ) s = magnetic shielding of the nucleus. Factors that affect it include neighboring atoms, aromatic groups, etc., the polarization of the bonds to the observed nuclei

  21. Chemical shift The chemical environment alters the effective magnetic field on the nuclei B eff = B o ( 1 - s ) s = magnetic shielding of the nucleus. Factors that affect it include neighboring atoms, aromatic groups, etc., the polarization of the bonds to the observed nuclei γB γB   - eff 0 ν σ) (1 L 2 π 2 π

  22. Chemical shift The chemical environment alters the effective magnetic field on the nuclei B eff = B o ( 1 - s ) s = magnetic shielding of the nucleus. Factors that affect it include neighboring atoms, aromatic groups, etc., the polarization of the bonds to the observed nuclei γB γB   - eff 0 ν σ) (1 L 2 π 2 π 1 H/ 13 C nuclei in different environments resonate at different frequencies

  23. Chemical shift The chemical environment alters the effective magnetic field on the nuclei B eff = B o ( 1 - s ) s = magnetic shielding of the nucleus. Factors that affect it include neighboring atoms, aromatic groups, etc., the polarization of the bonds to the observed nuclei H O-C H 2 -C H 3 γB γB   - eff 0 ν σ) (1 L 2 π 2 π low high 1 H/ 13 C nuclei in different environments field  L field resonate at different frequencies Intensity  Population

  24. The d scale • The frequency of resonance is field-dependent

  25. The d scale • The frequency of resonance is field-dependent • A relative scale, is a less ambiguous representation of the signal of a particular nucleus.

  26. The d scale • The frequency of resonance is field-dependent • A relative scale, is a less ambiguous representation of the signal of a particular nucleus.

  27. The d scale • The frequency of resonance is field-dependent • A relative scale, is a less ambiguous representation of the signal of a particular nucleus. d is field-independent d  (-s )

  28. The d scale • The frequency of resonance is field-dependent • A relative scale, is a less ambiguous representation of the signal of a particular nucleus. d is field-independent d  (-s ) Reference: Tetramethyl silane ( TMS ) CH3 soluble in most organic solvents, inert, volatile, and has 12 equivalent 1 Hs and 4 equivalent 13 Cs H C CH3 Si 3 Other references: residual solvent peak, dioxane for 13 C, CH3 H 3 PO 4 for 31 P

  29. Characteristic Chemical shifts: 1 H Resonances

  30. Characteristic Chemical shifts: 13 C resonances

  31. Ring currents

  32. Ring currents Shielded

  33. Ring currents Shielded Deshielded

  34. Ring currents Shielded Deshielded

  35. Ring currents Shielded Shielded Deshielded

  36. A representative spectrum: Ethanol

  37. A representative spectrum: Ethanol Three groups of lines = Three kinds of protons

  38. A representative spectrum: Ethanol Three groups of lines = Three kinds of protons Areas: Relative intensities = Abundance

  39. A representative spectrum: Ethanol Three groups of lines = Three kinds of protons Areas: Relative intensities = Abundance What is the significance of the multiplicity of the lines?

  40. The fine structure: Spin-spin Coupling Br CH 3 Small alteration in the magnetic field experienced by a nucleus due to other magnetic nuclei ► Fine structure in the spectra

  41. The fine structure: Spin-spin Coupling Br CH 3 Small alteration in the magnetic field experienced by a nucleus due to other magnetic nuclei ► Fine structure in the spectra

  42. The fine structure: Spin-spin Coupling Br CH 3 Small alteration in the magnetic field experienced by a nucleus due to other magnetic nuclei ► Fine structure in the spectra E = J . I 1 . I 2

  43. The fine structure: Spin-spin Coupling Br CH 3 Small alteration in the magnetic field experienced by a nucleus due to other magnetic nuclei ► Fine structure in the spectra E = J . I 1 . I 2 J Coupling Constant

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