# Planar Density of (0,-1,1,0) plane in HCP

In summary, The planar density of the (0,-1,1,0) plane in HCP can be calculated by finding c as a function of atomic radius r and determining the number of atoms that plane crosses. The c and a lattice parameters can be related to the atomic radius by looking at the packing of the interior atoms in the hexagonal cell.
How can I calculate the planar density of the (0,-1,1,0) plane in HCP? (in terms of atomic radius r)

What is the definition of planar density?

Knowing the c and a lattice parameters, how would one calculated the area of the (0,-1,1,0) plane?

How do the c and a lattice parameters relate to the atomic radius?

Astronuc said:
What is the definition of planar density?

Knowing the c and a lattice parameters, how would one calculated the area of the (0,-1,1,0) plane?

How do the c and a lattice parameters relate to the atomic radius?

Finding "a" is easy it's equal 2r but finding "c" is more complicated, also determine how many atoms that plane crosses is complicated as well.

One should be able to find c as a function of r by looking at the packing of the 3 interior atoms between the top and bottom planes of the hexagonal cell.

Ostensibly, there is a theoretical c/a.

## 1. What is the definition of "Planar Density" in a crystalline structure?

Planar density refers to the total amount of atoms in a specific plane of a crystal structure. It is calculated by dividing the number of atoms on the plane by the area of the plane.

## 2. How is the Planar Density of a specific plane in a HCP crystal structure calculated?

To calculate the planar density of a plane in a HCP crystal structure, the number of atoms on the plane is divided by the area of the plane, which can be determined using the lattice constants and Miller indices of the plane.

## 3. What is the significance of the (0,-1,1,0) plane in HCP crystal structures?

The (0,-1,1,0) plane is one of the most commonly studied planes in HCP crystal structures. It is known as the basal plane and is where the atoms are most densely packed, making it an important plane for understanding the overall structure of the crystal.

## 4. Is the Planar Density of the (0,-1,1,0) plane in HCP always the same?

No, the Planar Density of the (0,-1,1,0) plane in HCP can vary depending on the specific crystal structure and the presence of any defects or impurities.

## 5. How does the Planar Density of the (0,-1,1,0) plane in HCP compare to other planes in the crystal structure?

The Planar Density of the (0,-1,1,0) plane in HCP is typically higher than other planes in the crystal structure, such as the (1,1,0,0) or (1,1,1,0) planes. This is due to the arrangement of atoms in the basal plane, which allows for the most efficient packing of atoms.

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