Biophysical Chemistry: NMR Spectroscopy The Chemical Shift Lieven - - PowerPoint PPT Presentation

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Biophysical Chemistry: NMR Spectroscopy The Chemical Shift Lieven - - PowerPoint PPT Presentation

General Principle Sources of Chemical Shifts Summary Biophysical Chemistry: NMR Spectroscopy The Chemical Shift Lieven Buts Vrije Universiteit Brussel 28th October 2011 Lieven Buts Biophysical Chemistry: NMR Spectroscopy General Principle


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General Principle Sources of Chemical Shifts Summary

Biophysical Chemistry: NMR Spectroscopy

The Chemical Shift Lieven Buts

Vrije Universiteit Brussel

28th October 2011

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary

Outline

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General Principle Influence of Electron Clouds

2

Sources of Chemical Shifts General Considerations Specific Interpretations

3

Summary

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary Influence of Electron Clouds

Outline

1

General Principle Influence of Electron Clouds

2

Sources of Chemical Shifts General Considerations Specific Interpretations

3

Summary

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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Reminder: Energy Levels of a Spin-1/2

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General Principle Sources of Chemical Shifts Summary Influence of Electron Clouds

The Induced Field

B0 B0 B0 B0 B0 B' B' B' B' B'

B′ = Bind = −σB0 Blocal = B0 + Bind = (1 − σ)B0 ω = γB0(1 − σ) The external magnetic field induces currents in the electron cloud around the nucleus. These currents in turn generate a magnetic field, proportionate to the external field and slightly weakening or enhancing it at the site of the nucleus.

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary Influence of Electron Clouds

The Chemical Shift

The frequency difference is expressed as a relative difference with respect to a standard, eliminating the influence of the external field and resulting in a characteristic chemical shift value (independent of B0): δ = ν − νref νref = γB0(1 − σ) − γB0(1 − σref ) γB0(1 − σref ) = σref − σ 1 − σref Since the numeric value of δ is in practice never more than 10−4, it is generally expressed in terms of "parts per million" (ppm). Tetramethyl silane (TMS) and 2,2-dimethyl 2-silapentane 5-sulphonic acid (DSS) are the most commonly used reference compounds for 1H and 13C chemical shifts.

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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Shielding and Deshielding (1)

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Shielding and Deshielding (2)

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Shielding and Deshielding (3)

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Shielding and Deshielding (4)

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A Numeric Example

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Outline

1

General Principle Influence of Electron Clouds

2

Sources of Chemical Shifts General Considerations Specific Interpretations

3

Summary

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

General Description

The shielding factor σ can in general be divided into a diamagnetic contribution (resulting from electron currents within molecular orbitals), and a paramagnetic contribution (due to movements of electrons between different orbitals): σ = σdia + σpara with σdia > 0; σpara < 0 Both terms can be further subdivided into components that can be rationalised in terms of molecular structure with different degrees of success.

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Molecular Symmetry

In symmetric molecules many (or all) hydrogen atoms will have the same electronic environment, and thus end up with the same chemical shift. Simple symmetry arguments can sometimes go a long way in the analysis of spectra.

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Quantitative Integration of Intensities

In simple cases the relative area under each peak can be used to "count" the atoms in each distinct chemical environment.

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Outline

1

General Principle Influence of Electron Clouds

2

Sources of Chemical Shifts General Considerations Specific Interpretations

3

Summary

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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Specific Interpretations

In some cases, such as the methyl halides (below) and the substituted aromatics (right), the observed chemical shifts can be explained using elementary chemical principles.

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Neighbouring Groups

This schematic molecule has an elongated cloud of electrons (blue), and two sites A and B at different fixed positions relative to this cloud. µ// and µ⊥ are the externally induced dipoles in the electron cloud for the two orientations shown, and will in general both be aligned with the external field B0, but have different magnitudes.

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Effect of a Triple Bond

(µ⊥ > 0 (mainly a paramagnetic effect) and µ// ≈ 0, which means µ// − µ⊥ < 0)

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Effct of an Aromatic Ring

(µ⊥ ≈ 0, while µ// < 0 (mainly a diamagnetic effect), which again means µ// − µ⊥ < 0)

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Effect of Hydrogen Bonds

Hydrogen bonds can lead to strong deshielding of the affected proton.

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Protein Spectra

Although the hundreds or thousands of protons in a protein molecule all have unique environments and hence chemical shifts, the limited range means that the spectrum is still very crowded, even in ideal conditions: A few signals can be studied in isolation, but the vast majority is lost in a forest of overlapping signals.

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Functional Groups in Proteins

The difference in the electronic environment between the protonated and unprotonated forms can be used to determine the pKa of individual histidine side chains: δavg = δHA+[HA+] + δA[A] [HA+] + [A]

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary General Considerations Specific Interpretations

Special Cases

Atoms and radical with unpaired electrons give rise to strong paramagnetic effects, leading to extreme negative chemical shifts. (The gyromagnetic ratio of the electron is 660 times larger than even that of the proton.)

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary

Summary (1)

The resonance frequency of an isolated nucleus in an external magnetic field is determined only by the gyromagnetic ratio of the nucleus and the strength of the

  • field. In an atom or molecule, however, the nucleus is

surrounded by a cloud of electrons that proportionately modifies the effective magnetic field at the site of the

  • nucleus. Because different nuclei of the same type can
  • ccupy different chemical (and therefore electronic)

environments, they can resonate at slightly different frequencies and be distinguished. The most convenient quantitative measure for this effect of the local chemical environment is the chemical shift δ, which is characteristic of a given chemical environment and independent of the external field strength.

Lieven Buts Biophysical Chemistry: NMR Spectroscopy

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General Principle Sources of Chemical Shifts Summary

Summary (2)

With a suffciently detailed description of the behaviour of the electrons in a molecule, chemical shifts can in principle be calculated. Even when a detailed interpretation is not feasible, chemical shifts are still extremely valuable for the identification of atoms in molecules and as markers for processes.

Lieven Buts Biophysical Chemistry: NMR Spectroscopy