Yes i know about this, but i want ask u: what is the different between (102) et (012)? how to obtain(102) ?are there the methode to take this?Thank.
It's a convention. There is something about the four different delimiters: (),[],{}, and <>. When you surround the numbers with (), then (102) is the same as (012), unless you are worried about the orientation. For the orientation's sake, you should have a right-handed permutation (conventionally) or you should specify.
If I remember the conventions correctly {xyz} refers to the familiy of planes with indices x,y,z. (x,y,z) refers to the specific plane. Similarly [] and <> are for a line and a family of lines. If you have a polycrystalline material, you don't really care about a specific plane, and only wish to specify the family (this specifies plane spacing, and hence diffraction angles, etc.). However, for a single crystal, the specific plane within a family could be important.
So we can not calculate directly all this index? In Bragg relation, if we know the angle incident, so we can calculat the distance inter_reticular, suppose that we know about wave lenght.From heer, do we can calculate the Miller index? if yes , how to do? Thank for respons.
I don't think you can do it at just one orientation. I think you have to probe (in principle) all angles of incidence from all directions to extract the orientation of the lattice in the laboratory. I haven't really worked formally with this stuff in the lab though.
From the Bragg angle and the wavelength, you can get the inter-plane spacing, d. [tex]n \lambda = 2d sin \theta~~ [/tex] From the value of d, and the knowledge of the material (which tells you the lattice parameter, a) you can calculate the Miller Indices of the reflecting planes [tex] d = \frac {a} {\sqrt{h^2+k^2+l^2}} [/tex]
Ok i agree with u about this, but for exemple, the value of {h^2+k^2+l^2} is equal to 8 so we will get the Miller index for example: h=2; k=2 and l=0 or we write (220). if we want get (202) or (022) , are there possible? Thank for your response.
(020) and (022) are different planes of the same family {220} = (220),(202),(022),(-220),(2-20),(-202),(20-2),(-2-20),(-20-2),(-20-2) etc.....
Like I said before, the plane spacing only specifies the family, not a particular plane. So you should really be talking about the family of planes {220} which Dr Transport has listed above. PS : Dr Transport - there's an error in your first line. Perhaps you meant to write (220) instead of (020) ?
yes i understand here, but how to obtain: {220} = (220),(202),(022),(-220),(2-20),(-202),(20-2),(-2-20),(-20-2),(-20-2) etc.?with the calculat?
each has an equivalent distance d, in a cubic material all of these are the same plane. In a tetragonal material, there would not be as many equivalent planes because different axes are not the same.
if i have: (degrÃ©) a (pm) 11,6 665,4 13,5 661,8 19,6 651,3 23,9 660,5 28,4 649,7 and wave lengh = 154,5pm . How we can calculat the Miller index? Thak for the friend who will want give me the respons.
Now I have one question to ask u: for example, I have the value of Bragg angle and of latice constant: (degrÃ©) a (pm) 11,6 665,4 13,5 661,8 19,6 651,3 23,9 660,5 28,4 649,7 and i have the vawe lengh used = 154,5pm. How can we calculat the Miller index? Thank for the response to me.