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The separation of a {1 2 3} plane of an orthorhombic unit cell with a = 0 .8 2 nm, b = 0.94 and c = .75nm. is
  • a)
    11 nm
  • b)
    22 nm
  • c)
    33 nm
  • d)
    44 nm
Correct answer is option 'B'. Can you explain this answer?
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The separation of a {1 2 3} plane of an orthorhombic unit cell with a ...
The separation of hkl plane is given as for an orthorhombic lattice s

 
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The separation of a {1 2 3} plane of an orthorhombic unit cell with a ...
The given parameters:
- Orthorhombic unit cell
- a = 0.82 nm
- b = 0.94 nm
- c = 0.75 nm

The formula to calculate the separation of a plane in an orthorhombic unit cell:
The separation of a plane in an orthorhombic unit cell can be calculated using the formula:

Separation = d = (h/a) + (k/b) + (l/c)

Where:
- d = separation of the plane
- h, k, l = Miller indices of the plane
- a, b, c = lattice parameters

Calculating the separation of the plane:
In this case, the plane is given as (1 2 3). So, we need to calculate the separation using the Miller indices.

Using the formula, we have:
d = (1/0.82) + (2/0.94) + (3/0.75)

Simplifying the expression:
d = 1.2195 + 2.1277 + 4

Adding the terms:
d = 7.3472

Converting the separation to nm:
The separation is given in nm, so we don't need to convert it.

Comparing the result with the given options:
The correct answer is option 'B', which is 22 nm.
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The separation of a {1 2 3} plane of an orthorhombic unit cell with a ...
The separation of hkl plane is given as for an orthorhombic lattice s

 
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The separation of a {1 2 3} plane of an orthorhombic unit cell with a = 0 .8 2 nm, b = 0.94 and c = .75nm. isa)11 nmb)22 nmc)33 nmd)44 nmCorrect answer is option 'B'. Can you explain this answer?
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