Unit Cell and Crystal CharacteristicThe volume of sphere is 4/3 (1) ³ and the radius of each atom is 1.0 cm. Assume that all thesolids are aluminum (MM=26.98 g/mol). Calculate the following: number of atoms(spheres)inside the unit cell, total volume of spheres inside the unit cell, volume of the unit cell and the% of space occupied in the unit cell using the equation:Density (g/cc)VspheresV cel% occupiedCubic(express tono. of atomscm3cm3scientificUnit(round-off to two | (round-off to two | (round-off to two | notation; round-decimal places) | decimal places)(whole no.)Celldecimal places)off to twodecimal places)SCX10-24FCCX10-24ВсС|x10-24Based on the calculated density, what is the most probable lattice type of aluminum metal?Body Centered Cubic (BCC) Structure, Simple Cubic (SB) Structure, or Face-Centered Cubic(FCC) Structure?--Please explain how do you get the answersbecause I can't understand my prof. Thank you!--

Radius of each atom r = 1.00 cm Molar mass of Al = 26.98 g/mol We need to find density for SC, FCC,…

Unit Cell and Crystal Characteristic The volume of sphere is 4/3 (7) r³ and the radius of each atom is 1.0 cm. Assume that all the solids are aluminum (MM=26.98 g/mol). Calculate the following: number of atoms(spheres) inside the unit cell, total volume of spheres inside the unit cell, volume of the unit cell and the % of space occupied in the unit cell using the equation: Density (g/cc) Vspheres Vcel % occupied Cubic (express to no. of atoms cm3 cm3 scientific Unit (whole no.) notation; round- (round-off to two | (round-off to two decimal places) Cell (round-off to two decimal places) decimal places) off to two decimal places) SC x10-24 FCC x10-24 ВСС x10-24 Based on the calculated density, what is the most probable lattice type of aluminum metal? Body Centered Cubic (BCC) Structure, Simple Cubic (SB) Structure, or Face-Centered Cubic (FCC) Structure?

Unit Cell and Crystal Characteristic The volume of sphere is 4/3 (7) r³ and the radius of each atom is 1.0 cm. Assume that all the solids are aluminum (MM=26.98 g/mol). Calculate the following: number of atoms(spheres) inside the unit cell, total volume of spheres inside the unit cell, volume of the unit cell and the % of space occupied in the unit cell using the equation: Density (g/cc) Vspheres Vcel % occupied Cubic (express to no. of atoms cm3 cm3 scientific Unit (whole no.) notation; round- (round-off to two | (round-off to two decimal places) Cell (round-off to two decimal places) decimal places) off to two decimal places) SC x10-24 FCC x10-24 ВСС x10-24 Based on the calculated density, what is the most probable lattice type of aluminum metal? Body Centered Cubic (BCC) Structure, Simple Cubic (SB) Structure, or Face-Centered Cubic (FCC) Structure?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Q: for a metal that crystallizes in a body-centered cubic unit cell, what percentage of the spance in…

A: The objective of this question is to calculate the percentage of space occupied by metal atoms in a…

Q: Simple Cubic Unit Cell Sketch the cell. Number of atoms/cell How many atoms does each individual…

Q: A metal with atomic radius of 180 pm crystallizes in the body centered cubic unit cell. What is the…

A: The metal crystallizes in the body-centered cubic unit cell. The atomic radius of the metal is =…

Q: A metal crystallizes in a type of cubic unit cell. The unit cell edge length is 287 pm. The density…

Q: Tantalum atoms packs in a regular pattern in a three dimensional lattice in pure tantalum metal.…

A: Since, We know that, 1 pm = 10-10 cm then,

Q: 3- Calculate the theoretical density of iron crystal (BCC). The lattice constant a = 2.866A?

A: Please note- As per our company guidelines we are supposed to answer only one question. Kindly…

Q: Metallic iridium crystallizes in a face-centered cubic lattice, with one Ir atom per lattice point.…

A: It is given that Iridium metal crystallizes in a face-centred cubic lattice, with one Ir atom at…

Q: A metal has atoms with a radius of 182.1 pm. It crystallizes in a face-centered unit cell. It has a…

A: Answer: In face centered unit cell or FCC unit cell, atoms are present at the vertices and at the…

Q: An unknown metal crystallizes in a simple cubic unit cell. The radius of one atom is 284 pm. What is…

A: Given, metal crystallizes in a simple cubic unit cell. The radius of one atom is 284 pm. i, e:…

Q: A new compound, voronium oxide, has been discovered. X-Ray crystallographic studies reveal that it…

A: The newly discovered compound is voronium oxide and it is given the crystal structure of the…

Q: Gold atoms pack in a regular pattern in a three-dimensional lattice in pure gold metal. Assume the…

A: We are given the edge length of unit cell for gold atom. We have to find the volume.

Q: The radius of a single atom of a generic element X is 167 pm and a crystal of X has a unit cell that…

A: Recall the relation between radius(r) and edge length (a)for simple cubic unit cellr = a/2given r =…

Q: All the following statements describing unit cells are correct, except........ ○ In a face -…

A: Unit cells, which serve as the foundation of crystals, are the smallest repeating units in the…

Q: Consider the simple cubic (primitive cubic) unit cell shown in this image. How many atoms are shown…

A: Given, the simple cubic unit cell: We have to find: the number of atoms in the image. the fraction…

Q: The packing fraction of an irregular unit cell is 0.85. The volume of the unit cell is 7.74 pm3. The…

A: The solution is given below:

Q: Please answer the following with complete solution/explanation: 1. Copper crystallizes in a…

Q: Face-Centered Cubic (FCC) Each sphere at the corner contributes of an atom to the unit cell Each…

A: We have to apply general math and solid state formulas

Q: Please determine the number of cations and anions, and the stoichiometry of the ionic solid in the…

A: NaCl or rock salt is an ionic compound that consists of Na+ and Cl-. It occurs as a white crystal.…

Q: The atomic radius of metal X is 1.20 × 102 picometers (pm) and a crystal of metal X has a unit cell…

Q: A small part of a crystal lattice is sketched below. The unit cell is outlined in red. How many…

A: Answer:-This question is answered by using the simple concept of calculation of number of atoms in…

Q: Unit cell) calculate atomic radius in picometers; not sure how to get volume or side length if I…

Q: A solid consists of A-atoms and-B atoms, and its unit cell structure is shown below. The position of…

A: Body centre cubic is the unit cell in which atom is present at the centre and corner. In face…

Q: The atomic radius of metal X is 135 picometers (pm) and a crystal of metal X has a unit cell that is…

Q: The substance nickel oxide is found to crystallize in a cubic unit cell, with 4 formula units per…

Q: The radius of a single atom of a generic element X is 161 picometers (pm) and a crystal of X has a…

Q: An unknown metal crystallizes in a simple cubic unit cell. The radius of one atom is 150.2 pm. What…

Q: Given the following Bravais lattices: 1- Identify (describe) the Bravais lattice 2- How many…

A: Given structure is of ZnS. (Zinc sulphide) 1) bravis lattice is Face centred cube (FCC) or blende…

Q: The radius of a single atom of a generic element X is 155 picometers (pm) and a crystal of X has a…

Q: A metal has atoms with a radius of 176.9 pm. It crystallizes in a face-centered unit cell. It has a…

A: Face centred cubic unit cell is the unit cell in which atoms are present at corners as well as at…

Q: 1. Large biomolecules can be crystallized into lattices with the same unit cell features as more…

A: The objective of the question is to calculate the molar mass of the protein.

Q: An unknown metal crystallizes in a body-centered cubic unit cell. The edge length of the cell is…

A: In case of body-centered cubic unit cell, the relationship between edge length radius of atom is…

Concept explainers

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.

Question

Unit Cell and Crystal Characteristic
The volume of sphere is 4/3 (1) ³ and the radius of each atom is 1.0 cm. Assume that all the
solids are aluminum (MM=26.98 g/mol). Calculate the following: number of atoms(spheres)
inside the unit cell, total volume of spheres inside the unit cell, volume of the unit cell and the
% of space occupied in the unit cell using the equation:
Density (g/cc)
Vspheres
V cel
% occupied
Cubic
(express to
no. of atoms
cm3
cm3
scientific
Unit
(round-off to two | (round-off to two | (round-off to two | notation; round-
decimal places) | decimal places)
(whole no.)
Cell
decimal places)
off to two
decimal places)
SC
X10-24
FCC
X10-24
ВсС
|x10-24
Based on the calculated density, what is the most probable lattice type of aluminum metal?
Body Centered Cubic (BCC) Structure, Simple Cubic (SB) Structure, or Face-Centered Cubic
(FCC) Structure?
--Please explain how do you get the answers
because I can't understand my prof. Thank you!--

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

1. The radius of gold atom is 1.44 Å. What is the length of the unit cell for gold crystals whose atoms are packed according to fcc lattice?
Gold (197.0 g/mol) has cubic crystals whose unit cell has an edge length of 407 pm. The density of the metal is 19.3 g/cm. How many gold atoms are in a unit cell and what type of cubic lattice does gold have 2 atoms, body centered cubic 4 atoms, face centered cubic 1 atom, simple cubic 2 atoms, face centered cubic 4 atoms, body centered cubic
An unknown metal crystallizes in a face-centered cubic unit cell. The edge length of the cell is 328.4 pm. What is the radius (in pm) of one atom of the metal? Report your answer to the tenths place and do not include units.
Given that the density of KBr(s)KBr(s) is 2.75 g/cm32.75 g/cm3 and that the length of an edge of its unit cell is 659 pm,659 pm, determine how many formula units of KBrKBr there are in a unit cell. Based on the answer above, how is the unit cell of KBr(s)KBr(s) likely to be structured?
The density of Rh is 12.4 g/mL and the cell volume is 5.50 x 10-23 cm3. Determine the number of atoms in the unit cell. Note: the number of atoms in a unit cell is a whole number.
Zinc blende, or sphalerite, can be described as having a face-centered cubic unit cell with sulfur atoms at each lattice point and four zinc atoms within the unit cell. What is the empirical formula for this material?
Copper has a cubic close pack arrangement of atoms. The atomic radius of copper is 0.1278 nm. Calculate the lattice parameter of the unit cell and the density of solid copper by assuming that the atoms to be hard spheres that touch each other along the face diagonals of the face-centered cubic unit cell. The atomic weight of copper is 63.54 g/mol.
Fe crystal has a body-centered cubic unit cell. How many atoms of iron are there in the unit cell? 1