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ELECTRON SPIN RESONANCE

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Title: ELECTRON SPIN RESONANCE


1
ELECTRON SPIN RESONANCE
2
Definition
  • It is also called electron paramagnetic
    resonance (EPR) or electron magnetic resonance
    (EMR).
  • Is a branch of absorption spectroscopy in which
    radiation of microwave frequency is absorbed by
    paramagnetic substances.
  • It was invented by Zavoisky in 1944.

3
  • ESR is concerned with magnetic behaviour of
    spinning electrons.
  • ESR spectrum is obtained by transition from one
    spin state to other state of an electron,
    transition is induced by radiation of microwave
    frequency.
  • ESR uses reagents called electron spin reagents,
    which are stable containing odd electrons have
    the capacity to react with aminoacids.
  • ESR of compounds give information about
    structure, viscosity, polarity, phase
    transformation and chemical reactivity.

4
  • ESR
  • NMR
  • Chemical shift is absent.
  • The transition b/w electrons occurs upon the
    absorption of a quantum of radiation in microwave
    region .
  • The frequency required is 8000MCS-1 .
  • Limited application due to systems containing
    unpaired electrons.
  • Chemical shift is present .
  • The transition occurs upon the application of
    radiofrequency.
  • The frequency required is 40MCS-1

5
THEORY
  • The energy levels are produced by the
    interaction of the magnetic moment of an unpaired
    electron in a molecule ion with an applied
    magnetic field.
  • ESR spectrum is due to transition b/w these
    energy levels by absorbing radiations of
    microwave frequency.

6
  • Like a proton, an electron has a spin, which
    gives it a magnetic property known as a magnetic
    moment.
  • When an external magnetic field is supplied, the
    paramagnetic electrons can either orient in a
    direction parallel or antiparallel to the
    direction of the magnetic field
  • This creates two distinct energy levels for the
    unpaired electrons.

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  • For an electron of spin s1/2, the spin angular
    momentum have values of
  • ms 1/2 or -1/2
  • In the absence of magnetic field, the two values
    give rise to doubly degenerate energy levels(same
    energy).

10
  • If a magnetic field is applied, this leads to two
    non-degenerate energy levels.
  • The low energy state will have the spin magnetic
    moment alligned with the field (ms -1/2), and
  • high energy state - opposite to field (ms
    1/2).

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  • These two states possess energies split up from
    original state with no applied magnetic field by
    µe H (low energy state)
  • -µeH (high energy state)
  • Where, H magnetic field
  • µe magnetic moment
  • In ESR, transition b/w different energy levels
    take place by absorbing quantum of radiaton of
    ferquency in microwave region

14
?EhvgßB
h Plancks constant 6.626196 x 10-27
erg.sec n frequency (GHz or MHz) g g-factor
(approximately 2.0) ß Bohr magneton (9.2741 x
10-21erg.Gauss-1) B magnetic field (Gauss or mT)
15
Thus ESR spectrum of free electron consist of
single peak corresponding to transition b/w two
levels. When absorption occurs 2 µeH
hv Where , v - frequency of absorbed radiation
(cycles/sec) The energy of transition is given
by ?E hv gßH Where, ß Bohrs
magneton ( a factor for converting angular
momentum into magnetic moment) g
proportionality factor(a function of electron
environment). Also called spectroscopic
splitting factor OR Landes splitting factor.
The value is not constant
16
  • g is proportionality factor, function of
    electrons enviornment,also called as
    spectroscopic spliting factor or Landes spliting
    factor
  • g is not constant.
  • For a free electron , value is 2.0023.In free
    radicals, value is same(electron character is
    same).

17
  • In some crystals, g vary from 0.2 to 0.8.The
    reason is that unpaired electron is localised
    in a paricular orbital about the atom and the
    orbital angular momentum couples with spin
    angular momentum give rise to a low value of g
    in ionic crystals.
  • g value depend upon the orientation of the
    molecule having the unpaired electron w.r.t
    applied magnetic field.
  • In a crystal the value of g along x,y,z axes
    denoted as gx,gy,gz.

18
INSTRUMENTATION
19
Most EPR spectrometers are similar to the
original instrumentation used for NMR before the
development of pulsed Fourier Transform
spectroscopy. Most also use electromagnets
rather than permanent magnets or cryomagnets.
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  • SOURCE
  • Klystron
  • most common source operating in MW band region of
    3 cm ?
  • Vacuum pump, can produce MW oscillations centered
    on small range of frequency
  • Frequency on monochromatic radiation determined
    by applied voltage to Klystron
  • Operated at 9500 Mc/sec.

23
  • b. Isolator
  • A non-reciprocal device, a strip of ferrite
    material
  • Minimises vibrations in frequency of MW produced
    by Klystron oscillator
  • Variation in frequency due to backward reflection
    in region b/w Klystron circulator
  • Wavemeter
  • b/w isolator attenuator to know frequency of MW
    produced by Klystron oscillator
  • Calibrated in frequency units
  • Attenuator
  • b/w wavemeter circulator, adjusts the level of
    MV power incident upon sample
  • Possesses an absorption element

24
  • CIRCULATOR / MAGIC T
  • MW radiations enter circulator through a wave
    guide by a loop of wire that couples with
    oscillating magnetic field sets up a
    corresponding field in wave guide
  • Made up of hollow rectangular copper or brass
    tubing with silver or gold plating inside to
    produce a highly conducting flat surface

25
  • SAMPLE CAVITY
  • Cavity system is constructed in such a way as to
    maximise applied magnetic field along the sample
    dimension
  • 0.15 0.5 ml sample can be used (less DEC)
  • Flat cells (0.25 mm thickness) used for samples
    (high DEC) 0.05 ml sample
  • Most ESR spectrometers use dual sample cavities
    for sample and reference

26
  • 4. MAGNET SYSTEM
  • A static magnetic field is provided by an
    electromagnet with a current- regulated power
    supply.
  • A homogeneous and stable field is required for
    best results.
  • The resonant cavity is placed b/w pole pieces of
    electromagnet
  • A Hall probe, driven from a stable
    constant-current power system, with a digital
    multimeter (DMM) reading the Hall voltage, is
    used to measure the value of the magnetic field
    between the poles of the magnet

27
  • CRYSTAL DETECTORS
  • Silicon crystal is most commonly used detector
  • Act as a microwave rectifier
  • Convert MW power into direct current output
  • AMPLIFIER AND PHASE SENSITIVE DETECTOR
  • The signal from crystal detector undergo
    narrow-band amplification by auto amplifier
  • Noise present in the amplified signal is removed
    by phase sensitive detector
  • OSCILLOSCOPE AND PEN RECORDER

28
  • WORKING
  • Sample is kept in resonant cavity
  • The cavity is a long path-length cell in which
    wavas are reflected to fro thousand of times
  • Klystron oscillator produce MW that pass through
    isolator, wave meter and attenuator to reach
    circulator through arm 1
  • MW power divide b/w arms 2 3 (sample cavity)
  • Arm 2 have balancing resistance
  • When total resistance on 2 3 are same, MW power
    is absorbed completely
  • When R on arm 3 changes due to some ESR resonance
    absorption by the sample, then some MW power
    enter into detector through arm 4

29
  • detector convert the MW power into DC
  • If the magnetic field around the sample is
    changed to the value required for resonance,
    absorption takes place by the sample
  • The current is recorded by the recorder and show
    an absorbance peak
  • If main magnetic field is swept slowly for
    several minutes, recorder shows the derivative of
    the absorption spectrum
  • generally absorption spectra are recorded as
    first derivative spectra

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  • PRESENTATION OF ESR SPECTRUM
  • ESR spectrum is obtained by plotting intensity
    against the strength of magnetic field
  • ESR spectrum is better represented by derivative
    curve
  • First derivative (slope) of absorption curve is
    plotted against strength of magnetic field
  • Each negative slope in derv. curve represents a
    peak or shoulder in absorption spectrum
  • Every crossing of the derv. axis with a negative
    slope indicates a true maximum and crossing with
    positive slope indicates minimum
  • Thus no. of peaks/shoulders in absorption curve
    can be determined from no. of minima or maxima in
    the derivative curve.

32
  • Area covered by either the absorption or
    derivative curve is proportional to no of
    unpaired electrons in the sample
  • To calculate no of electrons in the sample,
    comparison is made with standard sample having
    known no of unpaired electrons and possessing the
    same line shape
  • Most widely used std is 1,1-diphenyl-picrylhydrazy
    l (DPPH) free radical

33
DPPH is chemically stable Splitting
factor g 2.0036 1,53 1021unpaired electrons
per gm
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