Sodium hydride (NaH) crystallizes in the rock-salt structure, with four formula units of NaH per cubic unit cell. A beam of monoenergetic neutrons, selected to have a velocity of 2.639 × 103 ms-1 , is scattered in second order through an angle of 2u= 36.26° by the parallel faces ofthe unit cells of a sodium hydride crystal.(a) Calculate the wavelength of the neutrons.(b) Calculate the edge length of the cubic unit cell.(c) Calculate the distance from the center of an Na+ ion to the center of a neighboring H- ion.(d) If the radius of an Na+ ion is 0.98 Å, what is the radius of an H- ion, assuming the two ions are in contact?

Q: It is considered that a solid substance has an orthorhombic structure. Since the edges of the unit…

A: Edges of unit cell: a = 3.50 A b = 4.0 A c = 5.5 A Miller indices of plane for which diffraction is…

Q: time needed for a glycine molecule

A:

Q: Calculate the number density of valence electrons in a certain metallic element given that the…

A:

Q: Calculate the separations of the planes {123} and {236} in an orthorhombic crystal in which the unit…

A:

Q: An orthorhombic unit cell has dimensions a = 769 pm, b = 891 pm, and c = 690 pm. Calculate the…

A:

Q: A sample of an alkali metal that has a BCC unit cell is found to have a mass of 1.000 g and a volume…

A: Given : Mass of alkali metal = 1 g Volume of alkali metal = 1.0298 cm3 Volume of hydrogen = 539.29…

Q: The size of the ionic atmosphere, called the Debye radius, is 1/K, where k is given by e2 NA 1/2…

A:

Q: 1b What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)?

A: Given: Miller index of the plane = ? Plane intersect the crystal axis = ( 2a, 1b, -3c )

Q: What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)?

A: In crystal Lattices, Miller index is a notation system to represent crystallography of planes (…

Q: The compound Rb3TIF6 has a tetragonal unit cell with dimensions a = 651 pm and c = 934 pm. Calculate…

A:

Q: Calculate the volume of the unit cell of chromium in cubic meters, given that chromium has a…

A:

Q: If the edge length of the unit cell of Tantalum is 331 pm, calculate the volume of this unit cell in…

A:

Q: If the density of europium is 5.25 g/cm3 at 20 degrees celsius, what is the mass (in grams)of one…

A:

Q: Suppose that on another planet the atmosphere consists of17% Kr, 38% CH4, and 45% O2. What is the…

A: Given information: Composition of Kr = 17 % Composition of methane = 38% Composition of O2 = 45%

Q: formula mass, and the size of the atoms. What conclusion(s) can you draw about the material?

A: This material might be ice. The density of water in its liquid form is greater than the density of…

Q: A plasma-screen TV contains thousands of tiny cells filledwith a mixture of Xe, Ne, and He gases…

A: The given parameters are, Dimensions of cell : 0.900 mm× 0.300 mm × 10.0 mm Total pressure: 500…

Q: Express the relationship between atomic radius (r) and the edge length (a) in the bcc unit cell.

A: Note that for a BCC unit cell, there will be one atom divided equally at all the 8 corners of the…

Q: Cesium chloride has a body-centered cubic structure with unit cell 0.4123 nm. What is the potential…

A: Potential energy can be calculated using the following formula.

Q: The unit cell of a compound containing strontium, iron, and oxygen is shown here. Compute the…

A:

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: Assuming there is an endless chain of atoms with one atom in each unit cell, what is the shape of…

A: First of all let us consider the given data It is mentioned that it is the endless chain of atoms…

Q: Molybdenum has a BCC crystal structure, an atomic radius of 0.1363 nm, and an atomic weight of 95.94…

A:

Q: Given that the density of KBr is 2.75 g/cm3 and that the length of an edge of the unit cell is 659…

A: Interpretation: The density of KBr is 2.75 g/cm3 and that the length of an edge of the unit cell is…

Q: Sketch a unit cell and label the dimensions a, b, and c and the angles alpha, beta and gamma. How do…

A: In a unit cell a, b and c represent the length, breadth and height of unit cell and alpha , beta and…

Q: The energy of the vacancy formation in the Ge crystal is about 2.0 eV/atom. Calculate the fractional…

A:

Q: Describe the physical origins of linewidths in the absorption and emission spectra of gases. liqu…

A: Spectral line arises from the emission or absorption of light. It is used to identify atoms or…

Q: Which of the following statements describe phosphorescence?

A: We know that Phosphorescence is a non- radiative transition from triplet state to ground state (T1…

Q: Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ…

A: Answer  Calculate miller index from plane intersecting the crystal…

Q: The size of the ionic atmosphere, called the Debye radius, is 1/K, where k is given by e2NA 1/2 K =…

A: To calculate debye radius ( 1/k) , we would use given formula and given data values to first…

Q: The orthorhombic unit cell of NiSO4 has the dimensions a= 634 pm, b = 784 pm, and c = 516 pm, and…

A:

Q: In which of the following unit cells is drawn a (10T) plane?

A:

Q: The orthorhombic unit cell of NiSO4 has the dimensions a = 634 pm, b = 784 pm, and c = 516 pm, and…

A:

Q: Calculate the radius of a vanadium (V) atom, given that its density is 6.11 g/cm3 and that it…

A: The number of particles per unit cell in a body centered cubic unit cell (Z) is equal to 2. The…

Q: Calculate the ratio of the maximum radius of an interstitial atom at the center of each face of a…

A: Let us say the radius of the host atom is r1 and r2 is the radius of the interstitial atom Then from…

Q: Describe the features of the body-centered cubic unit cell?

A: Unit cell is the smallest repetitive portion of a solid crystal. Unit cell represents three…

Q: Express the relationship between atomic radius(r) and the edge length (a) of the fee unit cell.

A: The unit cell represents the smallest possible portion of a crystal lattice in a three dimensional…

Q: The experimental value of the density of K is 0.86 g/cm³. If K crystallizes in a cubic unit cell…

A: Hello. Since multiple questions have been posted, the first question shall be only solved in this…

Q: If the density of europium is 5.25 g/cm3 at 20 degrees celsius with a volume of 1.52 x 10-22cm3,…

A:

Q: Distinguish between Chemiluminescence and Triboluminescence and give an  example of each.

A:

Q: Estimate the density of calcium oxide (rock salt structure), knowing that the ion rays are 100 pm…

A: Radius of Ca2+ = 100 pm Radius of O2- = 140 pm CaO has rock salt structure, i.e. Z =4 Calculation of…

Q: What are the two reasons that make hydrogen atoms difficult to detect with X-ray diffraction?

A: X- ray diffraction is a technique, in which electron position are determined based upon x -ray…

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.