
#1
Jun2504, 02:01 AM

P: 8

How we can calculate the Miller's index?
Thanks 



#2
Jun2504, 01:08 PM

Emeritus
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PF Gold
P: 11,154




#3
Jun3004, 03:51 AM

P: 8

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.




#4
Jun3004, 05:24 PM

HW Helper
P: 2,327

Miller index
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 righthanded permutation (conventionally) or you should specify.




#5
Jun3004, 09:30 PM

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PF Gold
P: 11,154

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. 



#6
Jul104, 04:51 AM

P: 8

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. 



#7
Jul104, 08:59 AM

HW Helper
P: 2,327

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.




#8
Jul104, 09:03 AM

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PF Gold
P: 11,154

From the Bragg angle and the wavelength, you can get the interplane 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] 



#9
Jul204, 08:35 AM

P: 8

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. 



#10
Jul204, 06:54 PM

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P: 1,458

(020) and (022) are different planes of the same family
{220} = (220),(202),(022),(220),(220),(202),(202),(220),(202),(202) etc..... 



#11
Jul204, 11:10 PM

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P: 11,154

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) ? 



#12
Jul404, 10:32 AM

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PF Gold
P: 1,458

correct, (220) instead of (020)...........




#13
Jul504, 09:46 AM

P: 8

{220} = (220),(202),(022),(220),(220),(202),(202),(220),(202),(202) etc.?with the calculat? 



#14
Jul504, 12:34 PM

Sci Advisor
PF Gold
P: 1,458

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.




#15
Jul904, 06:56 AM

P: 8

if i have: (degré) 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. 



#16
Jul904, 09:51 AM

Emeritus
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PF Gold
P: 11,154

Could you clarify what those numbers are, and what is pm ? Is it picometer (10^12 m) ?




#17
Jul1204, 05:24 AM

P: 8

Now I have one question to ask u: for example, I have the value of Bragg angle and of latice constant: (degré) 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. 


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