Overview of Miller index notation

Here we review Miller index notation.

[@bluefinsxmovies]

This is the best Miller indices video on KZbin☑️. I've Watched a ton of them. The length is worth it guys, don't let it scare you 🚫

[@k03dz0n3]

Absolutely agree! 5 minutes in and it makes so much sense!!

[@monicah3204]

my professor explained this and I was so confused. literally a few minutes into your video and I finally get it. thanks!!

[@omenechris4698]

Great Work! You are a born teacher, and teaches with ease. This class is so natural that I felt I was in the Primary School. Imagine his ruler in this 21st Century, all these made the whole thing easy and natural. This concept is a difficult one, but you have cleared a lot of confusion. Thanks a lot, more wisdom and Remain Blessed!

[@k03dz0n3]

Coming back again to extend my thanks; I have a learning disability and I draw from a non-engineering background, so I never grasped what the professor was instructing. Exceptional instruction. Thank you, deeply. Love from Palestine!

[@beckmanwsuofficial8503]

I'm really glad to be helpful. When I was young I found the jargon used in the MSE to be difficult to follow. Once you "get it" it isn't difficult, but those in the field often forget that those new need help. I try to make my content for everyone.

[@skyofglass1243]

Took my prof 2 days to not explain this clearly. I now understand after this 50 min video. Thanks a bunch.

[@mohammedalzawad3694]

This Video is really helpful. Thank you, Dr. Scott, for doing that

[@beckmanwsuofficial8503]

Thank you for watching. My goal is to give as many As as possible, but I can only do this by getting as many students as possible to participate in learning the content.

[@Sai-qe3gm]

You literally saved me, thank you from the bottom of my heart. Thank you for covering all of the subject matter

[@fatimamoh1501]

غدًا امتحاني .. انت انقذتني دكتور شكرًا جزيلًا😢❤❤❤❤❤

[@paulboro5278]

This video is so relaxing, I do not know why. It's like meditation on finding miller indices.

[@beckmanwsuofficial8503]

Indeed, Miller Indices are mellow. It takes 20 seconds to step through to the right answer -- jumping forward is sometimes faster, but there is a danger of mistakes.

[@umerishaq260]

Best video so far regarding this topic

[@taharashidi4314]

The best video in crystallography. Thank you very much

[@Samiramadina]

Hi from Germany. Great joooobbb merciiii

[@chaabeneimene6234]

Thank you very much i watch this vidéo from Tunisia

[@tndjkciwib]

Thanks to your kind lecture, I got a lot of help in understanding the concept. Thank you very much.

[@BilliamTheSmith]

I'm in the MSE program at WSU. This video cleared up so much confusion that my professor won't address

[@beckmanwsuofficial8503]

Thanks. My goal is to help as many students as possible, so I'm always adding content here.

[@provic44]

Awesome 😎... love the explanation

[@yujiepeng8960]

SUPER CLEAR!!!

[@beckmanwsuofficial8503]

Thanks. This is my goal for all my videos. I'm trying to contribute to the greater good of materials education.

[@nix_and_nothing3379]

Thank you so much for this video! So helpful and well explained. 🥰

[@fiona.e1026]

Was this is the best video I have seen on KZbin 💯💯💯

[@beckmanwsuofficial8503]

Thanks. I'm glad that this work is useful.

[@user-up2sl4vy2p]

결국 origin을 잘 잡아주거나, 면을 평행이동 시켜서 miller's indicates를 잡은값은 원래의 plane 과 평행하다... symmetric의 의미를 깨달았습니다. 한줄기의 빛... 감사합니다

[@mehmetcobanlar3694]

Thank you so much sir! Greeting from Turkey.

[@beckmanwsuofficial8503]

Are you at METU?

[@mehmetcobanlar3694]

@@beckmanwsuofficial8503 no i am studying in germany but i am in Turkey now. :)

[@omidkhanbeiki4248]

tnx a bunch sir🎉

[@coinavcisi3662]

I would die for this video, really good and deserves more click obviously

[@beckmanwsuofficial8503]

Thanks. Educational videos that solve the details don't get many clicks. Perhaps I could add a click-bait title, "Three weird tricks to understand Miller index notation." or something similar.

[@khanphysics8209]

one of the best explanation.

[@emirhanaydn6594]

Prof, what would we do without you? 👌

[@beckmanwsuofficial8503]

Hopefully you won't have to find out. I have plans to prepare a new set of thermodynamics videos based on the textbook by Herbert B. Callen. I also will be finishing up a monograph "Overview of Elasticity of Materials" this summer over at Wikibooks.

[@danielrisa36]

how do you draw the direction [002] in a cubic, the same as [001]?

[@beckmanwsuofficial8503]

The are the same direction. If you instead think of planes, then the d spacing between the planes are different. The d spacing for a cubic crystal uses the equation d=a*(h^2+k^2+l$2)^-1/2 So the (001) planes are separated by a, the cubic lattice parameter, and the (002) planes are separated by a/2.

[@MJs-85]

Great Vid ! Thank you Dr. Beckman. Is there any video on angles between directions as well ? for cubic its easy but other than cubic angles might be tough to find out

[@beckmanwsuofficial8503]

Everything is scaled into a single dimensionless cell that is 1x1x1. You can perform all the work you need inside this cell. Then when you have your result you can transform back into the actual unit cell defined by the lattice vectors. This trick makes it possible for you to avoid dealing with the complexity of the actual unit cell.

[@ahmedezzat3224]

Great video

[@ifesinachiekeneme1304]

I love you man

[@user-sn1ck5in7s]

yo bro you are good teacher

[@saleemsee5178]

You're the best man thank you❤️

[@rehab222151]

Thanks for this video. I really appreciate it

[@ayewumiolusoji5635]

Thanks so much

[@gokhanirmak7173]

çok teşekkürlerrrr!!

[@busegnd]

adammmmmmmm , çok sağ ol aşk

[@beckmanwsuofficial8503]

Rica ederim

[@zivicn11]

hvala bratic

[@leilikheirkhah6203]

This video is great!! thanks ! (Anyway those colors are helpful ;) )

[@beckmanwsuofficial8503]

Glad it was helpful!

[@abdulrehmanabdulrehman6131]

Thanks sir but if you help to learn vector addition on lattice points or you have any practices regarding these planes please share Thanks in anticipation

[@beckmanwsuofficial8503]

Vector addition. You can always define the origin so pick it such that your addition is simple.

[@Lukabg427]

Thanks

[@Coach.de3bs]

Ty u made my day 😍

[@beckmanwsuofficial8503]

You're welcome.

[@mohammedalzawad3694]

At 29:45 if we find the answer (1 -1 2) instead of (-1 1 -2) is it still right? Thank you

[@beckmanwsuofficial8503]

Yes, there are two planes that are directly on top of each other. Planes are defined by their normal vector. These two vectors are identical except one is multiplied by -1.

[@aknachewmebreku8584]

Thank you really

[@danielles.7065]

thank you!!

[@jackdeng1542]

Great!

[@aaronpicking4935]

Go Cougs!!!!

[@wanfaris9473]

thank u

[@beyzanurerdogan7813]

👏🏻

[@aapkachahitaaa9453]

LAnAt trey ty

[@user-dv5fq5hp2b]

幹 甚麼鬼

[@ISHMAELBWANALI]

Otherwise I was cooked

[@mojo6744]

thanks but get a ruler lol

[@beckmanwsuofficial8503]

I was still reminiscing about my brief vacation.

[@CHEESYhairyGASH]

Great video