How small should the lattice constant mismatch be when epitaxy of a material?
and in case of A+B -> C, is C the material whose lattice constant must match that of the substrate? Did I understand this correctly?
Dear Jun Park ,
Information below should be helpful:
In epitaxy, the lattice constant mismatch between two materials plays a crucial role in determining the quality of the resulting crystal structure. Let’s explore this further:
Hence, a small lattice constant mismatch is desirable for achieving high-quality epitaxial growth, while larger mismatches can lead to dislocations and reduced crystalline quality. Researchers and engineers carefully consider these factors when designing epitaxial structures for various applications.
Len Leonid Mizrah thank you.
but, here I have one more question Sir. if abc site Lattice Constants Are Different, how can i calculate lattice constant? for example
(a,b,c) = (11.5, 11.5, 11.5)
(a,b,c) = (4.9, 4.9, 5.4)
I think it should calculate based on the c site with the smallest error, am i right?
Dear Jun Park ,
A lattice constant (also known as a lattice parameter) refers to the constant distance between unit cells in a crystal lattice. In three-dimensional lattices, there are typically three lattice constants, denoted as a, b, and c. However, in the special case of cubic crystal structures, all three constants are equal, and we only refer to a12.
Here’s how you can calculate lattice constants:
Now, let’s apply this to your specific example:
- For the first set of lattice constants: (a, b, c) = (11.5, 11.5, 11.5), all three constants are equal.
- For the second set: (a, b, c) = (4.9, 4.9, 5.4), we have different values for a, b, and c.
- To determine the lattice constant, you can consider the smallest error or deviation from ideal values. In this case, you can calculate the average value for a, b, and c and use that as the lattice constant.
Remember that lattice constants play a crucial role in understanding crystal structures and material properties.
Len Leonid Mizrah The answer with its bullet point structure is very AI-ish and not very on point writing about Bragg's law despite no experiment being involved here. Also, diamond has an fcc lattice, but the diamond structure is - the diamond structure. Did you really write this yourself?
About the second question with differing parameters: what matters is the in-plane lattice situation to my extent of knowledge. So, if you match along the (001) planes where only the 11.5 and 4.9 values account, you have the trivial case 11.5/4.9, while if you start involving the 5.4 axis, you will have to find a stretching factor for the elemental cell. See Jan-Martin Wagner's answer here:
https://www.researchgate.net/post/How_to_find_lattice_mismatch_in_from_the_lattice_constant_of_two_materials/1
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