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Mark the correct statement (a) CsCl crystal show Schottky defect (b) Crystals having F-centres are coloured and paramagnetic (c) Photo sensitivity of \(\mathrm{AgBr}\) is due to the presence of Frenkel defect in its crystals (d) all of these are correct

Short Answer

Expert verified
The correct statement is (b): Crystals having F-centres are coloured and paramagnetic.

Step by step solution

01

Understanding the Given Options

We are given four statements about different types of defects in crystals and their properties. Our task is to determine which of these statements is correct.
02

Schottky Defects in CsCl Crystals

CsCl typically exhibits a simple cubic structure with each Cs鈦 ion surrounded by Cl鈦 ions. Schottky defect involves both cation and anion vacancies. Check if this defect is applicable clearly to CsCl.
03

F-Centres in Crystals

F-centres (also known as color centers) occur when an anion vacancy in a crystal is occupied by an electron, imparting color and sometimes paramagnetism to the crystal. Verify if this applies to the given statement.
04

Photo-sensitivity and Frenkel Defects in AgBr

Frenkel defects involve a cation leaving its lattice position and moving into an interstitial site, which is more common in ionic compounds with large anion-to-cation size ratios. Evaluate whether the presence of Frenkel defect contributes to the photo-sensitivity of AgBr.
05

Analyzing Option (d)

Option (d) states all statements are correct. Verify the correctness of statements (a), (b), and (c) to determine if option (d) is true.
06

Conclusion

Based on the verification: (a) is incorrect because CsCl does not typically exhibit Schottky defects, (b) is correct as F-centres cause coloration and paramagnetism, (c) is incorrect; photo-sensitivity in AgBr is not related to Frenkel defect but rather to electron-hole pair formation due to light exposure.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Schottky defect
A Schottky defect is a crucial concept in solid-state chemistry, particularly within ionic crystals. In a Schottky defect, both cation and anion vacancies occur simultaneously. Imagine a beautiful cubic dance where pairs of positive and negative ions suddenly go missing. This leads to a decrease in the density of the crystal. However, the overall charge remains balanced. The charges are neutral because an equal number of oppositely charged ions leave the lattice. CsCl, with its large ionic radii, does not typically form Schottky defects due to insufficient energy savings compared to the defect formation cost.
  • Usually found in crystals where cations and anions are of similar size, such as NaCl and KCl.
  • The defect affects properties like electrical conductivity and density.
  • Maintains stoichiometric defect nature, preserving the chemical formula unit ratios.

Understanding these tiny gaps in the lattice helps in mastering concepts like ionic conductivity and changes in physical characteristics of materials.
F-centre
F-centres, or color centers, are fascinating defects where an electron occupies the space of a missing anion in a crystal lattice. The presence of an F-centre can significantly alter the crystal's optical and magnetic properties, often endowing it with color.
  • These occur in the absence of anions, leaving a 'hole' in their negative space, compensated by a free electron.
  • As this electron gets excited by light, it can translocate energy levels, leading to different colorations and sometimes forming paramagnetic properties.
  • F-centres are responsible for the lovely hues in compounds like alkali halides, e.g., NaCl appearing yellow when heated.

Imagine these electrons enjoying a sunbath on the empty spaces left behind in the lattice. Each electron absorbs light energy, offering the crystal its distinct color, and potentially its ability to respond to magnetic fields.
Frenkel defect
A Frenkel defect occurs when an ion, usually a cation, vacates its usual spot in the crystal and nestles into an interstitial site, or a space not typically occupied in the lattice. Picture musical chairs, where one player changes his seating but stays in the circle. This defect doesn't change the mass or composition of the crystal, but affects the material's density and electrical properties.
  • Unlike Schottky defects, Frenkel defects do not lead to a change in the crystal's density.
  • It is more likely to occur in compounds with a large difference in anion and cation sizes, such as silver halides like AgBr.
  • Frenkel defects influence properties such as ionic conductivity and the dielectric constant.

In the context of AgBr, the photo-sensitivity isn't directly linked to the Frenkel defect itself. Instead, it stems from electron-hole pair creation under light exposure; however, Frenkel defects can influence how these electron movements are facilitated, thus impacting the crystal's overall properties.

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Most popular questions from this chapter

Which of the following is not a feature of solids? (a) definite mass and volume (b) frequent fluidity (c) rigidity (d) definite shape

The edge length of unit cell of a metal having molecular weight \(75 \mathrm{~g} / \mathrm{mol}\) is \(5 \AA\) A which crystallizes in cubic lattice. If the density is \(2 \mathrm{~g} / \mathrm{cc}\) then find the radius of metal atom. \(\left(\mathrm{NA}=6 \times 10^{23}\right)\). Give the answer in \(\mathrm{pm}\). (a) \(116.5 \mathrm{pm}\) (b) \(316.5 \mathrm{pm}\) (c) \(216.5 \mathrm{pm}\) (d) \(416.5 \mathrm{pm}\)

Which of the following statements is not correct? (a) The density of the crystal exhibiting Frenkel defect is less as compared to that of the perfect crystal (b) The Schottky defects are more common in ionic compounds with high coordination numbers and where the sizes of ions are small (c) In alkali halides, Frenkel defects are not found (d) The density of the crystal exhibiting Schottky defect is less as compared to that of the perfect crystal

Which of the following statements is not correct? (a) Heating of zinc oxide leads to the formation of a yellow coloured non- stoichiometric compound (b) The creation of cationic holes in ionic crystals imparts electrical conductivity to such crystals (c) The compound ferrous oxide can be prepared in its stoichiometric composition (d) Silver bromide shows both types of Schottky and Frenkel defects

The empty space left in a hexagonal close packing of spheres in three dimensions is (a) \(64 \%\) (b) \(26 \%\) (c) \(14 \%\) (d) \(52.4 \%\)

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