“…However, for this reciprocal lattice vector the definition of the magnetic structure factor in (12) reduces to the evaluation of the total magnetic moment in the unit cell as given in (17). While this reflection is not accessible in the neutron scattering experiment, its value may be obtained by magnetization measurements using conventional magnetometers.…”
Section: B O T H I T S M a G N I T U D E A N D P H A S E !mentioning
confidence: 99%
“…M(r) is a periodic function which has the periodicity of the nuclear lattice for a ferromagnetically ordered state. For a magnetization distribution which is given as the superposition of localised atomic magnetic moments located at ri within the unit cell the magnetization density is given by In this case the magnetic structure factor in (12) reduces to A comparison with (10) yields the atomic form factor in the form as the Fourier transform of the real space atomic magnetization mi(r). The total magnetic moment µ i is defined as the integral of mi(r) according to This definition together with (15) ensures the normalization of the atomic form factor as defined in (11).…”
Section: Magnetic Scatteringmentioning
confidence: 99%
“…Oh et.al. [11], Cooke et al [12]). Rather in order to illustrate the power of magnetic form factor measurements in this section attention will be focused on some simple model systems.…”
Section: Magnetic Form Factor Calculations For Some Simple Model Systemsmentioning
confidence: 99%
“…According to (12) the Fourier transform of the magnetization density in real space is the magnetic structure factor. Thus…”
Section: Using the Above Definitions And Transforming To A Position Smentioning
confidence: 99%
“…For the case of itinerant electron magnetism, for which the electronic wave functions are sufficiently delocalised, the general form (12) has to be used for the description of the magnetic structure factor. In general, it is not possible to uniquely allocate a given magnetization density to an individual atom, and the notion of a magnetic moment located on an atom loses its meaning.…”
The experimental technique of spin polarised neutron scattering as used in magnetic form factor measurements is presented. An introduction to the interpretation and the calculation of magnetic form factors and magnetization densities is given. The experimental technique of neutron scattering theory as applied to elastic spin polarised scattering experiments is briefly introduced. The calculation of the magnetic form factor and the magnetization densities are considered for simple model systems such as a collection of localised magnetic moments or an itinerant electron system. The discussion is illustrated by an experimental investigation of the magnetic form factor in the heavy fermion superconductors UBe13 and UPt3. Magnetization density maps and magnetic form factors are presented, and their implications for other physical quantities are briefly discussed.
“…However, for this reciprocal lattice vector the definition of the magnetic structure factor in (12) reduces to the evaluation of the total magnetic moment in the unit cell as given in (17). While this reflection is not accessible in the neutron scattering experiment, its value may be obtained by magnetization measurements using conventional magnetometers.…”
Section: B O T H I T S M a G N I T U D E A N D P H A S E !mentioning
confidence: 99%
“…M(r) is a periodic function which has the periodicity of the nuclear lattice for a ferromagnetically ordered state. For a magnetization distribution which is given as the superposition of localised atomic magnetic moments located at ri within the unit cell the magnetization density is given by In this case the magnetic structure factor in (12) reduces to A comparison with (10) yields the atomic form factor in the form as the Fourier transform of the real space atomic magnetization mi(r). The total magnetic moment µ i is defined as the integral of mi(r) according to This definition together with (15) ensures the normalization of the atomic form factor as defined in (11).…”
Section: Magnetic Scatteringmentioning
confidence: 99%
“…Oh et.al. [11], Cooke et al [12]). Rather in order to illustrate the power of magnetic form factor measurements in this section attention will be focused on some simple model systems.…”
Section: Magnetic Form Factor Calculations For Some Simple Model Systemsmentioning
confidence: 99%
“…According to (12) the Fourier transform of the magnetization density in real space is the magnetic structure factor. Thus…”
Section: Using the Above Definitions And Transforming To A Position Smentioning
confidence: 99%
“…For the case of itinerant electron magnetism, for which the electronic wave functions are sufficiently delocalised, the general form (12) has to be used for the description of the magnetic structure factor. In general, it is not possible to uniquely allocate a given magnetization density to an individual atom, and the notion of a magnetic moment located on an atom loses its meaning.…”
The experimental technique of spin polarised neutron scattering as used in magnetic form factor measurements is presented. An introduction to the interpretation and the calculation of magnetic form factors and magnetization densities is given. The experimental technique of neutron scattering theory as applied to elastic spin polarised scattering experiments is briefly introduced. The calculation of the magnetic form factor and the magnetization densities are considered for simple model systems such as a collection of localised magnetic moments or an itinerant electron system. The discussion is illustrated by an experimental investigation of the magnetic form factor in the heavy fermion superconductors UBe13 and UPt3. Magnetization density maps and magnetic form factors are presented, and their implications for other physical quantities are briefly discussed.
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