An element exists in two crystallographic modifications with FCC and BCC structures. The ratio of the densities of the FCC and BCC modifications in terms of the volumes of their unit cells (VFCC and VBCC) is:a)VBCC: VFCCb)2VBCC: VFCCc)VBCC: 2VFCCd)Correct answer is option 'B'. Can you explain this answer?

Question

Answer

The game is of z, total number of atoms in a unit cell. Now you can play the game easily.

Answer

For FCC. z=4
BCC. z=2

Answer

Yes

Answer

The ratio of the densities (ρ) for FCC and BCC crystal structures can be expressed in terms of their respective unit cell volumes (V). For FCC, the relationship is given by:[ ho_{	ext{FCC}} = \frac{4 	imes 	ext{atomic mass}}{\sqrt{2} 	imes a_{	ext{FCC}}^3} ]For BCC, it is:[ ho_{	ext{BCC}} = \frac{	ext{atomic mass}}{\frac{\sqrt{3}}{2} 	imes a_{	ext{BCC}}^3} ]The ratio ( \frac{ho_{	ext{FCC}}}{ho_{	ext{BCC}}} ) can be expressed in terms of the ratios of their respective unit cell volumes:[ \frac{ho_{	ext{FCC}}}{ho_{	ext{BCC}}} = \frac{\frac{4 	imes 	ext{atomic mass}}{\sqrt{2} 	imes a_{	ext{FCC}}^3}}{\frac{	ext{atomic mass}}{\frac{\sqrt{3}}{2} 	imes a_{	ext{BCC}}^3}} ]Simplifying this expression would involve canceling out terms and expressing the ratio in terms of the lattice parameters ( a_{	ext{FCC}} ) and ( a_{	ext{BCC}} ).

Similar Chemistry Doubts

An element with cell edge of 288 pm has a density of 7.2 g cm-3. What type of structure does the element have if it’s atomic mass M=51.8 g mol-1?

An element exists as hexagonal close packed structure as well as cubic closed packed structure. In which case the element would have higher density

Elements X,Y valencies m,n combine to form compound XnYm respectively. If an element Z of valency 1 combines with each XandY they form compounds XZ3 and YZ respectively. Find the values of m and n.?

The ionization enthalpies of the elements decline from top to bottom in a group of the periodic table due to ________.

Top Courses for Chemistry

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams