What Does d Represent in Interatomic Spacing Diagrams?

In summary, the conversation discusses the distance between two adjacent atoms, represented by d in the figure. The interatomic separation is L, but the question is about the distance between two parallel lines. The solution suggests finding the distance between these lines by drawing a perpendicular line and measuring the distance d. However, the answer states that d is actually half the distance between two diagonally positioned atoms, which is not clear in the figure. This leads to confusion about the relationship between d and L.
  • #1
Idan9988
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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
 
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  • #2
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
 
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  • #3
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?
 
  • #4
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?
 
  • #5
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
 
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  • #6
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.
 
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Related to What Does d Represent in Interatomic Spacing Diagrams?

What Does "d" Represent in Interatomic Spacing Diagrams?

In interatomic spacing diagrams, "d" typically represents the distance between the centers of two adjacent atoms, often referred to as the interatomic distance or bond length. This distance is crucial in determining the physical properties of a material.

How Is "d" Measured in Interatomic Spacing Diagrams?

"d" can be measured using techniques such as X-ray diffraction (XRD), neutron diffraction, or electron diffraction. These methods analyze the diffraction patterns produced when waves interact with the crystal lattice, allowing for precise calculation of interatomic distances.

Why Is the Interatomic Distance "d" Important?

The interatomic distance "d" is important because it influences various material properties, including mechanical strength, electrical conductivity, thermal conductivity, and optical properties. Understanding "d" helps in designing materials with specific characteristics.

Does "d" Change with Temperature or Pressure?

Yes, the interatomic distance "d" can change with temperature and pressure. As temperature increases, atoms tend to vibrate more and may move slightly apart, increasing "d". Conversely, applying pressure can force atoms closer together, reducing "d". These changes can significantly affect the material's properties.

Is "d" the Same for All Types of Bonds?

No, "d" varies depending on the type of bond between atoms. For example, covalent bonds typically have shorter interatomic distances compared to ionic or metallic bonds. The bond strength and type of atoms involved also play a crucial role in determining the value of "d".

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