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Show that the density of a cubic crystal...

Show that the density of a cubic crystal is given by the expression:
`d = (ZM)/(a^3 N_A)`
where Z is the number of atoms/molecules/ions present per unit cell, M is molecular weight, `N_A` is Avogadro's number and `a^3` is the volume of unit cell.

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Density of a unit cell is respresented as rho = (" Effective no. of atoms (s)" xx "Mass of a unit cell ")/("Volume of a unit cell ")=(Z.M)/(N_(A).a^(3)) where , Z = effective no . of atoms(s) or ion (s) per unit cell. M= At . mass// formula N_(A) = Avogadro' s no . rArr 6.0323 xx 10^(23) a= edge length of unit cell Silver crystallizes in a fcc lattice and has a density of 10.6 g//cm^(3) . What is the length of a edge of the unit cell ?

ICSE-SOLID STATE-EXERCISE (PART-II DESCRIPTIVE QUESTIONS) (LONG ANSWER QUESTIONS)
  1. Briefly explain the packing of the constituent particles in a crystal.

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  2. Derive an expression for the density of a cubic crystal whose edge is ...

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  3. Show that the density of a cubic crystal is given by the expression: ...

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  4. How Schottky and Frenkel defects occur in ionic crystals? How does the...

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  5. How will you distinguish between ferromagnets, antiferromagnets and fe...

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  6. Discuss briefly the point defects in ionic crystals.

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  7. Discuss briefly the following property of solid : Magnetic propertie...

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  8. Discuss briefly the following property of solid : Electrical propert...

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  9. Discuss briefly the following property of solid : Dielectric propert...

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  10. Classify the crystals on the basis of nature of bonds existing between...

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  11. What are ionic crystals ? Discuss the crystal structure of sodium chlo...

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  12. Explain why ionic solids are quite hard and rigid.

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  13. Explain why ionic solids have high melting and boiling points.

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  14. Explain why ionic solids do not conduct electricity but are good condu...

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  15. Explain why ionic solids are more soluble in polar solvents.

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  16. Explain why solids have high density.

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  17. Explain why ionic solids are highly brittle.

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  18. What are atomic solids ? Discuss the structures of diamond and graphit...

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  19. Explain why the covalent solids have high melting and boiling points.

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  20. Explain why the covalent solids are hard.

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