A single crystal of a metal that has the FCC crystal structure
is oriented such that a tensile stress is applied parallel to the
[110] direction. The critical resolved shear stress for this
material is 1.75 MPa.
1) Calculate the magnitude of applied stress necessary to cause
slip to occur on the (111) plane in the (1-10) direction.
2) Calculate the magnitude of applied stress necessary to cause
slip to occur on the (111) plane in the (10-1)direction.
3) Which...
An FCC crystal is pulled in tension along the [100] direction.
(a) Determine the Schmid factor for all slip systems. (b) Identify
the slip system(s) that would be activated first. (c) What is the
tensile stress under which this crystal will flow plastically? (τo
= 50 MPa)
A single crystal of a metal is oriented for a tensile test such
that its slip plane normal makes an angle of 64.2° with the tensile
axis. Three possible slip directions make angles of 30°, 48°, and
78° with the same tensile axis.
(a) Which of these three slip directions is most favored?
(b) If plastic deformation begins at a tensile stress of 1.6 MPa
(232.1 psi), determine the critical resolved shear stress for this
metal
Draw a picture for what it means for a crystal lattice to be fcc,
bcc, or hcp. Which is spatially least efficient; i.e. which pacts
the least atoms per volume of the three?
For a FCC crystal structure,
(a) Define three primitive vectors in the Cartesian Coordinates
in the most symmetrical form. The lattice constant of FCC is
‘a’.
(b) From the above primitive vectors in the direct lattice,
derive reciprocal primitive vectors in the Cartesian
Coordinates.
(c) What is the structure of the reciprocal lattice? What is the
length of the side of the cubic cell?
Calculate the radius of an iridium atom, given that Ir has an
FCC crystal structure, a density of 22.4
g/cm3 , and an atomic weight of 192.2
g/mol and NA = 6.022 x
1023.
Do the calculations with 5 significant
digits.
Calculate the radius of an iridium atom, given that Ir has an
FCC crystal structure, a density of 22.4
g/cm3 , and an atomic weight of 192.2
g/mol and NA = 6.022 x
1023.
Do the calculations by using 4 digits.
Calculate the radius of a copper atom in cm, given that Cu has
an FCC crystal structure, a density of 8.96 g/cm3, and
an atomic weight of 63.55 g/mol.
Please show all steps on how to get the answer
Consider a metal with an FCC crystal structure. The interplanar
spacing is known to be (2.0000x10^-1) nm. If the first-order angle
of diffraction (2*theta) is found to be (4.50x10^1) ° for the (311)
set of planes in this metal, what wavelength of monochromatic
x-radiation (in nm) must have been used for the diffraction? Use
scientific notation with 3 significant figures (X.YZ x 10^n). Note
that Avenue automatically enters x10, so you only need to enter
X.YZ and n.
An XRD experiment was performed Cu Ka radiation of
wavelength 0.154 nm on an FCC crystal with lattice constant = 3.61
Å. What are the Miller indices of the planes with lowest and
highest Bragg angles?