For a BCC structure, if a = 351 pm, find r. Lithium forms a BCC structure having an edge length of a unit cell 351 pm, then find the atomic radius of lithium.
For a BCC structure, if a = 351 pm, find r. Lithium forms a BCC structure having an edge length of a unit cell 351 pm, then find the atomic radius of lithium.
Solution and Explanation
For a BCC (body-centered cubic) structure, the relationship between the lattice constant (a) and the atomic radius (r) is:
a = 4√(2)r/3 Solving for r, we get: r = (3a/4√(2)) Substituting the given value of a = 351 pm (or 3.51 Å), we get: r = (3 x 3.51 Å) / (4√(2)) r ≈ 1.53 Å
Therefore, the atomic radius of lithium in its BCC structure is approximately 1.53 Å.
Top Questions on The solid state
- The number of hydrogen bonds formed by a water molecule at normal conditions is:
- VITEEE - 2024
- Chemistry
- The solid state
- At 25°C and 1 atm pressure, the enthalpy of combustion of benzene (l) and acetylene (g) are \(3268 \, \text{kJ mol}^{-1}\) and \(1300 \, \text{kJ mol}^{-1}\), respectively. The change in enthalpy for the reaction
is- VITEEE - 2024
- Chemistry
- The solid state
- A reverse biased zener diode when operated in the breakdown region works as:
- BITSAT - 2024
- Physics
- The solid state
- In the Victor-Meyer test, the color given by 1°, 2°, and 3° alcohols are respectively:
- BITSAT - 2024
- Chemistry
- The solid state
- The correct statement among the following is:
- BITSAT - 2024
- Chemistry
- The solid state
Questions Asked in MHT CET exam
- What is the oxidation state of Fe in \( \mathrm{Fe_3O_4} \)?
- MHT CET - 2024
- States of matter
- The number of ways of distributing \( 500 \) dissimilar boxes equally among \( 50 \) persons is
- MHT CET - 2024
- Permutations
- A committee of 11 members is to be formed out of 8 males and 5 females. If \( m \) is the number of ways the committee is formed with at least 6 males and \( n \) is the number of ways with at least 3 females, then:
- MHT CET - 2024
- Combinations
- Two monkeys off mass 10 kg and 8 kg are moving along a vertical light rope the former climbing up with an acceleration of 2 m/second square while the latter coming down with a uniform velocity of 2 m/sec square find the tension in the rope at the fixed support
- MHT CET - 2024
- tension
- Which of the following is ferromagnetic:
- MHT CET - 2024
- Magnetism and matter
Concepts Used:
Solid State
Solids are substances that are featured by a definite shape, volume, and high density. In the solid-state, the composed particles are arranged in several manners. Solid-state, in simple terms, means "no moving parts." Thus solid-state electronic devices are the ones inclusive of solid components that don’t change their position. Solid is a state of matter where the composed particles are arranged close to each other. The composed particles can be either atoms, molecules, or ions.
Types of Solids:
Based on the nature of the order that is present in the arrangement of their constituent particles solids can be divided into two types;
- Amorphous solids behave the same as super cool liquids due to the arrangement of constituent particles in short-range order. They are isotropic and have a broad melting point (range is about greater than 5°C).
- Crystalline solids have a fixed shape and the constituent particles are arranged in a long-range order.