direct lattice वाक्य
उदाहरण वाक्य
मोबाइल
- It is therefore indexed with direct lattice-indices, instead of with Miller-indices.
- Direct lattice-vectors have components measured in distance units, like meters or & Aring; ngstroms.
- We let "'R "'be a vector in the direct lattice, which we can express as a linear combination of " its " primitive vectors.
- Due to the definition of \ mathbf { G }, when \ mathbf { K } is the direct lattice vector \ mathbf { R }, we have the same relationship.
- In normal usage, this first lattice ( whose transform is represented by the reciprocal lattice ) is usually a periodic spatial function in real-space and is also known as the " direct lattice ".
- Now, any periodic potential V ( "'r "') which shares the same periodicity as the direct lattice can be expanded out as a Fourier series whose only non-vanishing components are those associated with the reciprocal lattice vectors.
- While the Bragg formulation assumes a unique choice of direct lattice planes and specular reflection of the incident X-rays, the Von Laue formula only assumes monochromatic light and that each scattering center acts as a source of secondary wavelets as described by the Huygens principle.
- "' Zone axis "', a term sometimes used to refer to " high-symmetry " orientations in a crystal, most generally refers to " any " direction referenced to the direct lattice ( as distinct from the reciprocal lattice ) of a crystal in three dimensions.
- A useful and quite general rule of crystallographic " dual vector spaces in 3D " is that the condition for a direct lattice-vector [ uvw ] to have a direction ( or zone-axis ) perpendicular to the reciprocal lattice-vector [ hkl ] is simply hu + kv + lw = 0.
- While the direct lattice exists in real-space and is what one would commonly understand as a physical lattice, the reciprocal lattice exists in reciprocal space ( also known as " momentum space " or less commonly " K-space ", due to the relationship between the reciprocal lattice of a reciprocal lattice, then, is the original direct lattice again, since the two lattices are Fourier Transforms of each other.
- While the direct lattice exists in real-space and is what one would commonly understand as a physical lattice, the reciprocal lattice exists in reciprocal space ( also known as " momentum space " or less commonly " K-space ", due to the relationship between the reciprocal lattice of a reciprocal lattice, then, is the original direct lattice again, since the two lattices are Fourier Transforms of each other.
- The reciprocal to a simple hexagonal Bravais lattice with lattice constants c and a is another simple hexagonal lattice with lattice constants \ begin { matrix } \ frac { 2 \ pi } { c } \ end { matrix } and \ begin { matrix } \ frac { 4 \ pi } { a \ sqrt { 3 } } \ end { matrix } rotated through 30?about the c axis with respect to the direct lattice.
- Since Steno s Law can be further generalized for a single crystal of any material to include the angles between either all identically indexed net planes ( i . e . vectors of the reciprocal lattice, also known as'potential reflections in diffraction experiments') or all identically indexed lattice directions ( i . e . vectors of the direct lattice, also known as zone axes ), opportunities exist for morphological fingerprinting of nanocrystals in the TEM ) by means of transmission electron goniometry.
- They are written ( hk ! ), and denote the family of planes orthogonal to h \ mathbf { b _ 1 } + k \ mathbf { b _ 2 } + \ ell \ mathbf { b _ 3 }, where \ mathbf { b _ i } are the basis of the reciprocal lattice vectors . ( Note that the plane is not always orthogonal to the linear combination of direct lattice vectors h \ mathbf { a _ 1 } + k \ mathbf { a _ 2 } + \ ell \ mathbf { a _ 3 } because the reciprocal lattice vectors need not be mutually orthogonal . ) By convention, negative integers are written with a bar, as in for " 3.
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