In condensed matter physics and crystallography, the static structure factor (or structure factor for short) is a mathematical description of how a material scatters incident radiation. The structure factor is a critical tool in the interpretation of scattering patterns (interference patterns) obtained in X-ray, electron and neutron diffraction experiments.
Confusingly, there are two different mathematical expressions in use, both called 'structure factor'. One is usually written ; it is more generally valid, and relates the observed diffracted intensity per atom to that produced by a single scattering unit. The other is usually written or and is only valid for systems with long-range positional order — crystals. This expression relates the amplitude and phase of the beam diffracted by the planes of the crystal ( are the Miller indices of the planes) to that produced by a single scattering unit at the vertices of the primitive unit cell. is not a special case of ; gives the scattering intensity, but gives the amplitude. It is the modulus squared that gives the scattering intensity. is defined for a perfect crystal, and is used in crystallography, while is most useful for disordered systems. For partially ordered systems such as crystalline polymers there is obviously overlap, and experts will switch from one expression to the other as needed.
The static structure factor is measured without resolving the energy of scattered photons/electrons/neutrons. Energy-resolved measurements yield the dynamic structure factor.
static structurefactor (or structurefactor for short) is a mathematical description of how a material scatters incident radiation. The structurefactor is...
In condensed matter physics, the dynamic structurefactor (or dynamical structurefactor) is a mathematical function that contains information about inter-particle...
effectively one-dimensional case, is straightforward. First, the structurefactor for this case is derived, and then an expression for the peak widths...
human capacity to act independently and make free choices. Structure here refers to factors such as social class, religion, gender, ethnicity, customs...
structure function, like the fragmentation function, is a probability density function in physics. It is somewhat analogous to the structurefactor in...
the faster the decay of the form factor. For crystals, atomic form factors are used to calculate the structurefactor for a given Bragg peak of a crystal...
Factor analysis is a statistical method used to describe variability among observed, correlated variables in terms of a potentially lower number of unobserved...
Form factor in timber metrics, referring to tree shape Structurefactor This disambiguation page lists articles associated with the title Form factor. If...
a realized factor of safety. A constant required value, imposed by law, standard, specification, contract or custom, to which a structure must conform...
Goldschmidt's tolerance factor (from the German word Toleranzfaktor) is an indicator for the stability and distortion of crystal structures. It was originally...
The Big Five personality traits, sometimes known as "the five-factor model of personality" or "OCEAN model", are a grouping of five unique characteristics...
Factor IX (EC 3.4.21.22), also known as Christmas factor, is one of the serine proteases involved in coagulation; it belongs to peptidase family S1. Deficiency...
phases and their corresponding symmetries can be visualized using the structurefactor: S ( q → ) = 1 N ⟨ ∑ i j e − i q → ( r → i − r → j ) ⟩ {\displaystyle...
addresses within a data structure Load factor (electrical), the average power divided by the peak power over a period of time Capacity factor, the ratio of actual...
personality structure is a six-dimensional model of human personality that was created by Ashton and Lee and explained in their book, The H Factor of Personality...
Within personality psychology, it has become common practice to use factor analysis to derive personality traits. The Big Five model proposes that there...
structures, rather than algorithms, as the key organizing factor in software design. Data structures can be used to organize the storage and retrieval of information...
Coagulation factor VIII (Factor VIII, FVIII, also known as anti-hemophilic factor (AHF)) is an essential blood clotting protein. In humans, it is encoded...
increased factor Xa activity and a propensity for thrombosis. The half life of factor X is 40–45 hours. The first crystal structure of human factor Xa was...
Tissue factor, also called platelet tissue factor, is a protein present in subendothelial tissue and leukocytes which plays a major role in coagulation...
C3b) have also been determined. Although an atomic resolution structure for intact factor H has not yet been determined, low resolution techniques indicate...
developed through factor analysis, construct validity is provided by studies that confirm its factorstructure. Over several decades of factor-analytic study...
The impact factor (IF) or journal impact factor (JIF) of an academic journal is a scientometric index calculated by Clarivate that reflects the yearly...
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