What Does d Represent in Interatomic Spacing Diagrams?

AI Thread Summary
In interatomic spacing diagrams, "d" represents the distance between two parallel planes, which is derived from the interatomic separation "L." The discussion highlights confusion over whether "d" should equal "L" or represent half the distance between diagonally positioned atoms. It clarifies that "d" is specifically the segment of a perpendicular line between the two parallel lines shown in the figure. Understanding this relationship is crucial for accurately interpreting the diagram. Ultimately, "d" is not simply equal to "L" but is defined by the geometric context of the diagram.
Idan9988
Messages
9
Reaction score
0
Homework Statement
.
Relevant Equations
.
IMG_20230521_113910.jpg

according to the figure, it's look like d is the distance between the center of two adjacent atoms, and so it should be simply L. I don't understand what d represents in the figure.
that's the solution:
IMG_20230521_113744.jpg

Even if d is half the distance between two adjacent atoms that positioned diagonally (I don't see why), is came out to me completely different expression:
IMG20230521121029.jpg
 
Physics news on Phys.org
If the interatomic separation is ##L## (see figure below) what is the separation between the planes indicated by the solid black lines? That is how you identify what you are being asked. Note that the figure shows a different cleavage plane from the one given to you but the idea is the same.

Lattice.png
 
Last edited:
but if the interatomic separation is L, and what I'm being asked about is the distance between those parallel lines, isn't d should be equal simply to L?
 
IMG_20230521_175234.jpg

according to the answer, d is half the distance between two diagonally positioned atoms, which in the figure is the line segment between one atom to the red arrow. I don't see why this segment is the answer to what I'm being asked about?
 
Idan9988 said:
according to the answer, d is half the distance between two diagonally positioned atoms, which in the figure is the line segment between one atom to the red arrow. I don't see why this segment is the answer to what I'm being asked about?
Atomic plane fracture.jpg
 
  • Like
Likes SammyS, TSny and Idan9988
Idan9988 said:
but if the interatomic separation is L, and what I'm being asked about is the distance between those parallel lines, isn't d should be equal simply to L?
Draw a line that is perpendicular to the two parallel lines. The distance ##d## between them is the segment of the perpendicular contained between the two.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top