
Concept explainers
Crystalline silicon has a cubic structure. The unit cell edge length is 543 pm. The density of the solid is 2.33 g/cm3. Calculate the number of Si atoms in one unit cell.

Interpretation:
The number of Silicon atoms in unit cell of Silicon cubic lattice has to be determined.
Concept introduction:
In crystalline solids, the components are packed in regular pattern and neatly stacked. The components are imagined as spheres and closely packed. This phenomenon is called “close packing” in crystals. The two major types of close packing of the spheres in the crystal are – hexagonal close packing and cubic close packing.
Answer to Problem 12.32QP
The number of Silicon atoms in unit cell of Iron cubic lattice is
Explanation of Solution
Record the given data:
The unit cell is assumed that of a cubic shape and the edge length of the unit cell is given. Density of Silicon is given.
Calculate the volume of one unit cell of cubic lattice of Silicon.
Edge length of the cubic unit cell is given. The cubic value of edge length gives the volume of the unit cell.
Calculate the mass of one unit cell of cubic lattice of Silicon.
Density of the unit cell is given. The mass of unit cell is calculated using the equation
Calculate the average mass of one Silicon atom in unit cell.
The average mass of one Silicon atom in its crystal lattice is calculated using the atomic mass value of Silicon.
Calculate the number of Silicon atoms present in a unit cell.
The average mass of one Silicon atom in its crystal lattice is related to number of atoms per unit cell as follows –
Using this equation, the number of Silicon atoms present per unit cell has been calculated.
The number of Silicon atoms in unit cell of Silicon cubic lattice has been determined.
Want to see more full solutions like this?
Chapter 12 Solutions
EBK CHEMISTRY: ATOMS FIRST
- please help with synthesisarrow_forward10. Stereochemistry. Assign R/S stereochemistry for the chiral center indicated on the following compound. In order to recieve full credit, you MUST SHOW YOUR WORK! H₂N CI OH CI カー 11. () Stereochemistry. Draw all possible stereoisomers of the following compound. Assign R/S configurations for all stereoisomers and indicate the relationship between each as enantiomer, diastereomer, or meso. NH2 H HNH, -18arrow_forwardb) 8. Indicate whether the following carbocation rearrangements are likely to occur Please explain your rational using 10 words or less not likely to occur • The double bond is still in the Same position + Likely to oc occur WHY? -3 H3C Brave Chair Conformers. Draw the chair conformer of the following substituted cyclohexane. Peform a RING FLIP and indicate the most stable conformation and briefly explain why using 20 words or less. CI 2 -cobs ?? MUST INDICATE H -2 -2 Br EQ Cl OR AT Br H& most stable WHY? - 4arrow_forward
- CH 12 Conformational Analysis. Draw all 6 conformers (one above each letter) of the compound below looking down the indicated bond. Write the letter of the conformer with the HIGHEST and LOWEST in energies on the lines provided. NOTE: Conformer A MUST be the specific conformer of the structure as drawn below -4 NOT HOH OH 3 Conformer A: Br OH A Samo Br H 04 Br H H3 CH₂ H anti stagere Br CH clipsed H Brott H IV H MISSING 2 -2 B C D E F X 6 Conformer with HIGHEST ENERGY: 13. (1 structure LOWEST ENERGY: Nomenclature. a) Give the systematic (IUPAC) name structure. b) Draw the corresponding to this name. HINT: Do not forget to indicate stereochemistry when applicable. a) ८८ 2 "Br {t༐B,gt)-bemn€-nehpརི་ཚ༐lnoa Parent name (noname) 4 Bromo Sub = 2-methylethyl-4 Bromo nonane b) (3R,4S)-3-chloro-4-ethyl-2,7-dimethyloctane # -2 -2arrow_forwardin the scope of the SCH4U course! please show all steps as im still learning how to format my answers in the format given, thank you!arrow_forwardhelp me solve this HWarrow_forward
- Molecules of the form AH2 can exist in two potential geometries: linear or bent. Construct molecular orbital diagrams for linear and bent CH2. Identify the relevant point group, include all of the appropriate symmetry labels and pictures, and fill in the electrons. Which geometry would you predict to be more stable, and why? (Please draw out the diagram and explain)arrow_forwardIndicate the variation in conductivity with concentration in solutions of strong electrolytes and weak electrolytes.arrow_forwardThe molar conductivity of a very dilute solution of NaCl has been determined. If it is diluted to one-fourth of the initial concentration, qualitatively explain how the molar conductivity of the new solution will compare with the first.arrow_forward
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningChemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage Learning





