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Write the relationship between radius of atom and edge length of fcc unit cell. - Chemistry

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प्रश्न

Write the relationship between radius of atom and edge length of fcc unit cell.

एक पंक्ति में उत्तर

उत्तर

For fcc unit cell, radius of atom (r) = `(sqrt2a)/4`

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Cubic System
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अध्याय 1: Solid State - Very short answer questions

संबंधित प्रश्न

Answer the following in brief.

Calculate the number of atoms in fcc unit cell.


An element with molar mass 27 g/mol forms a cubic unit cell with edge length of 405 pm. If the density of the element is 2.7 g/cm3, what is the nature of the cubic unit cell?


If the total volume of a simple cubic unit cell is 6.817 × 10-23 cm3, what is the volume occupied by particles in the unit cell?


Derive the relationship between density of substance, its molar mass, and the unit cell edge length. Explain how you will calculate the number of particles, and a number of unit cells in x g of metal.


An element crystallizes in fcc type of unit cell. The volume of one unit cell is 24.99 × 10-24 cm3 and density of the element 7.2 g cm-3, Calculate the number of unit cells in 36 g of pure sample of element?


What is the percentage of unoccupied space in fcc unit cell?


An element (atomic mass M g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is ____________ g/cm3.

[NA = 6.0 × 1023 atom mol−1)


How many total constituent particles are present in simple cubic unit cell?


The number of atoms in 500 g of a fcc crystal of a metal with density d = 10 g/cm3 and cell edge 100 pm, is equal to ____________.


If the edge of a body-centred unit cell is 360 pm, what will be the approximate radius of the atom present in it? (in pm)


An element crystallizes bcc type of unit cell, the density and edge length of unit cell is 4 g cm−3 and 500 pm respectively. What is the atomic mass of an element?


An element with density 2.8 g cm−3 forms fcc unit cell having edge length 4 × 10−8 cm. Calculate molar mass of the element.


Copper and silver have ____________ crystal structure.


Consider the following unit cell.

The number of particles (spheres) per unit cell is:


What is the density of iron crystal which crystallizes in body-centred cubic structure with edge length 287 pm? (At. mass of Fe = 56 amu)


The coordination number of atoms in body-centred cubic structure (bcc) is ______.


Gold crystallises into face-centred cubic cells. The edge length of a unit cell is 4.08 × 10–8 cm. Calculate the density of gold. [Molar mass of gold = 197 g mol–1]


An element has a bee structure with unit cell edge length of 288 pm. How many unit cells and number of atoms are present in 200 g of the element?


A metal has an fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is 2.72 g cm−3. The molar mass of the metal is ______.

(NA Avogadro's constant = 6.02 × 1023 mol−1)


In face centred cubic unit cell, what is the volume occupied?


Calculate the density of metal with molar mass 56 g mol- 1 that crystallises to form a bcc structure with edge length 288 pm.


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(Atomic mass of K = 39)


At room temperature, polonium Crystallises in a primitive cubic unit cell. If a = 3.36 Å. Calculate the theoretical density of polonium. [It's atomic weight is 209 g/mol.]


What would be the empirical formula of a compound having a unit cell containing A ion shared equally at the corner of the cube and B ion on the centre of faces of the cube?


The number of particles present in Face Centred Cubic Unit cell is/are ______.


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