I love that you always say "Howdy" at the start of the video. Thank You so much for creating this content. It is definitely making my materials science class more enjoyable :)
It's all about finding & drawing similar triangles. For example, to find the intercept along the c-direction, look at the triangle on the b-c plane. You can see part of the edge of this triangle going from the point in the bottom right corner of the unit cell 0, 1, 0, to the point midway along the top back edge of the unit cell 0, 1/2, 1. To keep extending this line (to the intercept along the c-direction), you would again need to move in the negative b-direction 1/2 of the unit cell length, and doing this would end you up at the point 0, 0, 2. The other way to think of this is, (starting at the intercept with the b-direction and following the line that will ultimate intercept with the c-direction), going to the left half of a unit cell length requires going up one whole unit cell length. So going to the left another half a unit cell length (to get to the c-direction axis), requires again going up one whole unit cell length. Intercept with a-direction is a bit trickier, but you basically use the same approach.
Thank you so much.....this video made me understand miller indices so well...i was struggling with this the whole semester n saw this the night before my exams n it made me understand it in 9:44 minutes...thanks❤️
If I'm given the intercepts (2, -3, 1) the miller indices would be (3,-2,6), so far so good, but if I'm asked to draw the plane given those miller indices (reciprocants would be: 1/3, -1/2, 1/6) the sketched plane would look different from the one sketched using the original intercepts (2, -3, 1), shouldn't the have the same shape? What do I do in these cases? great video btw
josé carlos delgado malavé these two planes, (2 -3 1) and (1/3 -1/2 1/6), are parallel to each other, and thus can be translated on to each other. because crystal lattices extend indefinitely, we consider these the same crystallographic plane. it is just easier to write planes without using fractions. hence, (2 -3 1) would be the standard notation.
How can you say that this method of extending one of the lines of plane is correct. I watched some other video and learnt that we choose the closest point to the plane as origin and if I do using that method for the first one miller indices come out to be (1 2 -1) I chose 001 as origin.
![กิโลเมตรที่ 0 เดินทางรอบโลกไม่ใช้เครื่องบิน [Around The World Ep. 1]](http://i.ytimg.com/vi/toJG9oofLFY/mqdefault.jpg)
Paying so much for college and yet the best resources are online for free...thank you for this!
Agreed.
THANKS A LOT..I HAD A DOUBT ABOUT HOW TO TAKE NEGATIVE INTERCEPTS BUT AFTER WATCHING THIS..IT BECAME CLEAR..
Shamberger, thank you for this video. I just wanted to say that it clarified the Miller notation and drawing of planes a great deal for me.
I love that you always say "Howdy" at the start of the video. Thank You so much for creating this content. It is definitely making my materials science class more enjoyable :)
Forreal though, if you were not here, I would not be interested in this MSE course but guess who is switchin their major! Thanks again!
It's all about finding & drawing similar triangles. For example, to find the intercept along the c-direction, look at the triangle on the b-c plane. You can see part of the edge of this triangle going from the point in the bottom right corner of the unit cell 0, 1, 0, to the point midway along the top back edge of the unit cell 0, 1/2, 1. To keep extending this line (to the intercept along the c-direction), you would again need to move in the negative b-direction 1/2 of the unit cell length, and doing this would end you up at the point 0, 0, 2.
The other way to think of this is, (starting at the intercept with the b-direction and following the line that will ultimate intercept with the c-direction), going to the left half of a unit cell length requires going up one whole unit cell length. So going to the left another half a unit cell length (to get to the c-direction axis), requires again going up one whole unit cell length.
Intercept with a-direction is a bit trickier, but you basically use the same approach.
Thank you so much.....this video made me understand miller indices so well...i was struggling with this the whole semester n saw this the night before my exams n it made me understand it in 9:44 minutes...thanks❤️
Best video so far, finally understood how this all works
It's really clear and I finally understood how to do Miller Index!
Thank you so much!!
best explanation I've seen so far
Thank you so much. I wish you the success in your life.
really great sir ,Iwas not familiar with this.but now i am more confident
Woohooo i found the best one finally!! Thanks sir you are great xxx
Just what I needed to get it to click. Thank you very much!
Great explanation, simple and concise.
This is the best video for this topic!!
for the first example, how did you know it intercepts at x=2 and z=2 when you extended the lines?
You made about 53000 people understand this!
Very helpful video. Especially for beginners.
Quick and easy! Thanks for sharing.
Thank you so much!!! you make it so simple!!! You save my butt!!
best explanation ever
The third question if I can shift the cell along y to get (1 -1 1). Minus 1 is for y or z? I choose (010) to be origin.
Amazing video...
This is GOLD
If I'm given the intercepts (2, -3, 1) the miller indices would be (3,-2,6), so far so good, but if I'm asked to draw the plane given those miller indices (reciprocants would be: 1/3, -1/2, 1/6) the sketched plane would look different from the one sketched using the original intercepts (2, -3, 1), shouldn't the have the same shape? What do I do in these cases? great video btw
josé carlos delgado malavé these two planes, (2 -3 1) and (1/3 -1/2 1/6), are parallel to each other, and thus can be translated on to each other. because crystal lattices extend indefinitely, we consider these the same crystallographic plane. it is just easier to write planes without using fractions. hence, (2 -3 1) would be the standard notation.
Thanks a lot man, you were very helpful! Greetings from Venezuela
Why in the last example we didn't lose the fraction by multiplying in two ?
Good Work!
how do you locate the correct origin when changing coordinates?
wow! this is the best
thnks Sir.........great explanation
Very helpful thank you!
How can you say that this method of extending one of the lines of plane is correct. I watched some other video and learnt that we choose the closest point to the plane as origin and if I do using that method for the first one miller indices come out to be (1 2 -1) I chose 001 as origin.
learnt...
Thank you!
Awesome..!
Thanks!
thanks
our survival
عفيه اريد الشرح بالعربيه
how do we determine that a and b intercepts are 2 after extending plane?