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What is the significance of the family of planes in crystallography and how are they represented using Miller indices?
In crystallography, the family of planes refers to a group of crystal planes that share similar characteristics. These planes play a crucial role in determining the structure and properties of crystals. Miller indices are used to represent these planes in crystallography, providing a standardized way to describe their orientation and spacing within the crystal lattice. By understanding the family of planes and their Miller indices, scientists can analyze and predict the behavior of crystals in various applications.
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Procedure of finding miller indices of a crystal structure?
following steps one should follow to find the miller indices of a crystal plane :Determine the intercepts of the face along the crystallographic axes, in terms of unit cell dimensions.Take the reciprocalsClear fractionsReduce to lowest terms You can visualize a a plane by by miller indices by using vesta (software for windows) or by using online Miller indices visualizer by Calistry (google it)
What are the Miller-Bravais indices for hexagonal planes?
The Miller-Bravais indices for hexagonal planes are a set of three integers (h, k, l) that represent the orientation of a plane in a hexagonal crystal structure. These indices are used to identify and describe different planes within the hexagonal lattice.
What are the Miller indices for the hexagonal system and how are they used to describe the orientation of crystal planes in this system?
The Miller indices for the hexagonal system are a set of three integers (h, k, l) that represent the orientation of crystal planes. They are used to describe the spacing and orientation of planes within a hexagonal crystal lattice. The indices are calculated based on the intercepts of the plane with the crystallographic axes and are used to identify specific crystallographic planes within the hexagonal lattice structure.
What did the sparks urey and miller use as the energy source represent for their experiment?
The sparks used as the energy source in the Miller-Urey experiment represented lightning strikes in the early Earth's atmosphere. This was meant to simulate the energy provided by natural electrical discharges, which were essential to the synthesis of organic compounds from inorganic molecules in the primordial environment.
What is the interatomic spacing formula used to calculate the distance between atoms in a crystal lattice?
The interatomic spacing formula used to calculate the distance between atoms in a crystal lattice is given by d a / (h2 k2 l2), where d is the interatomic spacing, a is the lattice parameter, and h, k, and l are the Miller indices representing the crystal plane.
What are miller indices?
Miller indices are a symbolic notation used to describe the orientation of planes and directions in a crystal lattice. They are a set of integers (hkl) representing the intercepts of a plane or direction with the crystallographic axes. Miller indices are used in crystallography to uniquely identify specific crystallographic planes and directions.
What are some common challenges encountered when working with Miller index problems in crystallography?
Some common challenges encountered when working with Miller index problems in crystallography include understanding the concept of Miller indices, correctly identifying lattice planes, dealing with complex crystal structures, and interpreting the results accurately.
Describe briefly miller bravais indices?
If crystal planes and directions in hexagonal system are indexed using Miller Index, then the crystallography equivalent planes have indices which appear dissimilar. To overcome this, Miller-Bravais Index is used. In short meaning: Miller-Bravais index, used to identify a plane in a hexagonal or rhombohedral structure. The four digit of Miller-Bravais indices: (hkil). The i is always the negative of the sum of h and k. The h k l is determined similar like the Miller Index system.
What are the Miller indices of a plane passing through the origin?
The Miller indices of a plane passing through the origin are (0,0,0).
What are some mineralogists?
Some notable mineralogists include Johann Wolfgang von Goethe, who made contributions to mineralogy while also being a writer and statesman, and James Dwight Dana, who is known for his work on crystal structures and mineral classification. William Hallowes Miller developed the Miller indices system for crystallography and is considered a pioneer in the field of crystallography.
Can you provide some example problems involving Miller indices?
Here are some example problems involving Miller indices: Determine the Miller indices for a plane that intersects the x-axis at (1,0,0), the y-axis at (0,1,0), and the z-axis at (0,0,1). Calculate the Miller indices for a plane that passes through the points (2,1,0), (0,3,1), and (-1,0,4). Find the Miller indices for a plane that intersects the x-axis at (1,0,0), the y-axis at (-1,1,0), and the z-axis at (0,0,2).
Procedure of finding miller indices of a crystal structure?
following steps one should follow to find the miller indices of a crystal plane :Determine the intercepts of the face along the crystallographic axes, in terms of unit cell dimensions.Take the reciprocalsClear fractionsReduce to lowest terms You can visualize a a plane by by miller indices by using vesta (software for windows) or by using online Miller indices visualizer by Calistry (google it)
Why you take reciprocals of intercepts for finding miller indices?
Using reciprocals spares us the complication of infinite intercepts.Formulas involving Miller indices are very similar to related formulas from analytical geometry.
What are the Miller-Bravais indices for hexagonal planes?
The Miller-Bravais indices for hexagonal planes are a set of three integers (h, k, l) that represent the orientation of a plane in a hexagonal crystal structure. These indices are used to identify and describe different planes within the hexagonal lattice.
How do you represent a negative Miller index?
The Miller index is a notation system for lattice structure in crystallography. By convention, a negative number isn't represented the same way as a negative integer in math (like "-3" for instance.) Instead, the negative sign simply goes above the integer, as a small bar.
What are the Miller indices for the hexagonal system and how are they used to describe the orientation of crystal planes in this system?
The Miller indices for the hexagonal system are a set of three integers (h, k, l) that represent the orientation of crystal planes. They are used to describe the spacing and orientation of planes within a hexagonal crystal lattice. The indices are calculated based on the intercepts of the plane with the crystallographic axes and are used to identify specific crystallographic planes within the hexagonal lattice structure.
What has the author Raymond Foster Miller written?
Raymond Foster Miller has written: 'The optical constants of crystals of selenium and tellurium for wave lengths from 3000 to 5000 angstroms' -- subject(s): Crystallography, Physical optics, Selenium, Tellurium
