How to find miller indices of a plane that makes intercepts on a,b and c axes equal to the 3A,4A,3a in a tetragonal crystal with c/a ratio equal to 1.5? Thx in advance
how can you do this if the metal is unknown? how do you get the a(lattice parameter value) if you don't know the R value for FCC or BCC geometry....ahhhhh
If the lattice constant is unknown, you create a table of sin^2(theta) and divide by 1,2,3,4,5... and look for a repeating value. You should be able to tell the Bravais lattice by seeing the columns in which the value is repeated. For example, if the metal is BCC, you will see the lattice constant repeating when you divide by 2,4,6,8,.... for all even, non-negative integers. If it is FCC, these will be 3,4,8, etc.
If the lattice is non-cubic, such as hexagonal or tetragonal, it becomes more complicated and you have to determine the lattice constants individually since there are two different ones instead of a single lattice constant in the case of cubic.
@@tryfon8672 If you take Bragg's law, it can be written as: sin^2(theta) = (lambda^2 / 4a^2) * (h^2 + k^2 + l^2). If you have a handful of theta values, you plug these in and divide them by increasing integer values starting from 1. This is because each lattice will only have certain combinations of allowed integer combinations. Lambda and a are constants, so the only thing that is changing is the plane from which the theta value originated. Once you establish which repeated integer values you are seeing based on the values of theta, you can determine which type of lattice is present based on symmetry. SC, BCC, FCC, etc. all have different allowed values.
But what if we have to determine if this was either BCC, FCC or SC from given plane? How do we then tackle this problem as there will be many lattice parameters for the given planes
How much influence does it have on the solution if you take a different value of n (so not n=1) in bragg's law n.lambda=2dsin(theta)? And how does this influence the accuracy of the measurements of X-ray diffraction?
Went here for analysis for the actual data :/ as in diffraction ring sourced in a synchrotron for example (or any generic XRPD experiment image. Can you please do a video for this. (I will probably have solved my issue by the time you do so though)
I prepared LDH "Mg6Al2(CO3)(OH)6" and the XRD shows me 4 peaks, does this mean that I have 4 different cubic cells? and if then how do I determine the Miller indices of each? since I don't know the cubic structure, nor how to calculate "r". Thanks in advance
sorry, I'm not a specialist but i wanna know why you're interested in knowing the plane of diffraction. I thought this is gonna kinda detect what type of lattice this metal is, FCC or BCC so on and so forth. but surprisingly the crystal structure is given and you just wanna know the plane of diffraction !!!
This is just to show students how to index the plane at the given peak. We know its crystal structure from matching the experimental XRD pattern with the database.
Very clear and concise, excellent explanation and example
This screencast has been reviewed by faculty from other academic institutions.
how to know that it is fcc bcc or other i have synthesized copper oxide nanoparticles but i dont know if it is fcc or bcc
You can use powder method ..
Perfectly explained for my XRD class!!! Thank you SO MUCH! :)
I tried to solve it by myself, my answer is correct!
Thank you so much
How to find miller indices of a plane that makes intercepts on a,b and c axes equal to the 3A,4A,3a in a tetragonal crystal with c/a ratio equal to 1.5? Thx in advance
how can you do this if the metal is unknown? how do you get the a(lattice parameter value) if you don't know the R value for FCC or BCC geometry....ahhhhh
If the lattice constant is unknown, you create a table of sin^2(theta) and divide by 1,2,3,4,5... and look for a repeating value. You should be able to tell the Bravais lattice by seeing the columns in which the value is repeated. For example, if the metal is BCC, you will see the lattice constant repeating when you divide by 2,4,6,8,.... for all even, non-negative integers. If it is FCC, these will be 3,4,8, etc.
If the lattice is non-cubic, such as hexagonal or tetragonal, it becomes more complicated and you have to determine the lattice constants individually since there are two different ones instead of a single lattice constant in the case of cubic.
Thank you !!!
@@Chase-b5t i didnt inderstand ..how's this supposed to work?
@@tryfon8672 If you take Bragg's law, it can be written as: sin^2(theta) = (lambda^2 / 4a^2) * (h^2 + k^2 + l^2). If you have a handful of theta values, you plug these in and divide them by increasing integer values starting from 1. This is because each lattice will only have certain combinations of allowed integer combinations. Lambda and a are constants, so the only thing that is changing is the plane from which the theta value originated. Once you establish which repeated integer values you are seeing based on the values of theta, you can determine which type of lattice is present based on symmetry. SC, BCC, FCC, etc. all have different allowed values.
U deserve more views nice content
this video saved our lab report :-P Thanks
What is the name of this software which simulates a notebook?
I did XRD for graphene oxide film and only one peak, 2 thera was 11.852 degree, d= 0.7464 nm. How can I calculate miller point of (hkl)
Hello dude, i got the same question here. Have you found any answer ?
But what if we have to determine if this was either BCC, FCC or SC from given plane? How do we then tackle this problem as there will be many lattice parameters for the given planes
How much influence does it have on the solution if you take a different value of n (so not n=1) in bragg's law n.lambda=2dsin(theta)? And how does this influence the accuracy of the measurements of X-ray diffraction?
Went here for analysis for the actual data :/ as in diffraction ring sourced in a synchrotron for example (or any generic XRPD experiment image. Can you please do a video for this. (I will probably have solved my issue by the time you do so though)
I prepared LDH "Mg6Al2(CO3)(OH)6" and the XRD shows me 4 peaks, does this mean that I have 4 different cubic cells? and if then how do I determine the Miller indices of each? since I don't know the cubic structure, nor how to calculate "r".
Thanks in advance
sir please share a video in which how to error propsgates in Xrd
Thanks for the good explanation
i did XRD for mxene but i cant understand the peaks...can you help me to analyse ?
Cool, I like Mxene
What would be the relation between a and d for a bcc structure?
how find the value of a? where the value of 2r root 2
what's the relation for diamond fcc?
very easy to understand
sorry, I'm not a specialist but i wanna know why you're interested in knowing the plane of diffraction. I thought this is gonna kinda detect what type of lattice this metal is, FCC or BCC so on and so forth. but surprisingly the crystal structure is given and you just wanna know the plane of diffraction !!!
This is just to show students how to index the plane at the given peak. We know its crystal structure from matching the experimental XRD pattern with the database.
I come here to study, what is the crystal structure ,when the miller indices are even of reflection
Plz anyone ans..
why theta is divided by 2?
maybe you can find the data of crystal on "springer" database
when giving option for all even you have 200 220 so can we also suggest 002 022 020 ..? correct is 111 but fcc can also have 020 022 alsoright
Prasanna Prabhakaran how 111? I am getting his accent.
Very well done video! Thank you!
Braggs law is n lambda = 2d sin theta , what is n value here
This is really perfect, thank you for sharing
i did xrd for tin oxide. do u know how to find the atomic radius,r value for it?
shannon radii on google
what is d-spacing again?
distance between two planes in the crystal.
Why 0.128nm? 2:03
Its an atomic radius for copper , You can find this through Google.
shouldnt a=4r/sqrt(2) ?
nice
Thank you, sir
thank you. a very simple video. (y)
Thanks sir
Really nice
good
Thank you sir
thank you!
Thnx a lot
THANK YUO VERY MUCH
Omg this video save my ass!
good