‫)‪HOME WORK (1‬‬
‫ﯾﺠﺐ ﻣﻼء ﻛﺎﻓﺔ ﻣﻌﻠﻮﻣﺎت اﻟﻄﺎﻟﺐ ﺑﺪﻗﺔ و ﺑﻮﺿﻮح و ﺑﺎﻻﺳﻢ اﻟﺜﻼﺛﻲ و ﻓﻲ ﺣﺎﻟﺔ ﻋﺪم اﻛﺘﻤﺎل ﻣﻌﻠﻮﻣﺎت‬
‫اﻟﻄﺎﻟﺐ أو ﻋﺪم وﺿﻮﺣﮭﺎ ﺗﺨﺼﻢ اﻟﺪرﺟﺔ‬
‫اﺳﻢ اﻟﻄﺎﻟﺐ‪:‬‬
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‫اﻟﺮﻗﻢ اﻟﺠﺎﻣﻌﻲ‪:‬‬
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‫رﻗﻢ اﻟﻤﺠﻤﻮﻋﺔ‬
‫اﻟﻨﻈﺮﯾﺔ‪:‬‬
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‫اﺳﻢ اﻟﻄﺎﻟﺐ‪:‬‬
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‫اﻟﺮﻗﻢ اﻟﺠﺎﻣﻌﻲ‪:‬‬
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‫رﻗﻢ اﻟﻤﺠﻤﻮﻋﺔ‬
‫اﻟﻨﻈﺮﯾﺔ‪:‬‬
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‫اﺳﻢ اﻟﻄﺎﻟﺐ‪:‬‬
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‫اﻟﺮﻗﻢ اﻟﺠﺎﻣﻌﻲ‪:‬‬
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‫رﻗﻢ اﻟﻤﺠﻤﻮﻋﺔ‬
‫اﻟﻨﻈﺮﯾﺔ‪:‬‬
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‫اﺳﻢ اﻟﻄﺎﻟﺐ‪:‬‬
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‫اﻟﺮﻗﻢ اﻟﺠﺎﻣﻌﻲ‪:‬‬
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‫رﻗﻢ اﻟﻤﺠﻤﻮﻋﺔ‬
‫اﻟﻨﻈﺮﯾﺔ‪:‬‬
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‫ﺗﻌﻠﯿﻤﺎت‪:‬‬
‫‪ -1‬ﯾﺘﻢ ﺣﻞ ﻛﻞ ﺳﺆال ﻓﻲ ورﻗﺔ ﻣﻨﻔﺼﻠﺔ‬
‫‪ -2‬ﯾﺘﻢ ﺗﺪﺑﯿﺲ أوراق اﻟﺤﻞ و ووﺿﻊ ھﺬه اﻟﻮرﻗﺔ ﻛﻐﻼف ﻟﻠﺤﻠﻮل ﻣﻊ اﻟﺘﺄﻛﺪ ﻣﻦ ﻣﻼء اﻟﺒﯿﺎﻧﺎت‬
‫‪ -3‬أﺧﺮ ﻣﯿﻌﺎد ﻟﺘﺴﻠﯿﻢ ھﺬا اﻟـ ‪ Homework‬ھﻮ ﺗﺎرﯾﺦ ﯾﻮم اﻟﺨﻤﯿﺲ ‪1434/5/12‬‬
‫‪Page 1‬‬
‫‪Home Work 1‬‬
(1) Show for the body-centered cubic crystal structure that the unit cell edge length a and the
atomic radius r are related through
a BCC
=
4
r
3
(2) If the atomic radius of lead is 0.175 nm, calculate the volume of its unit cell in cubic
meters.
Home Work 1
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(3) Show that the atomic packing factor (APF) for BCC is 68%.
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(4) Calculate the radius of a palladium atom, given that Pd has an FCC crystal structure,
a density of 12.0 g/cm3, and an atomic weight of 106.4 g/mol
………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
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(5) Beryllium (Be) has CPH unit cell crystal structure for which the ratio of the lattice
parameters is 1.568. If the radius of the Be atom is 1.143 Å, it is required to:
(a) determine the unit cell volume; and
(b) calculate the theoretical density of Be and compare it with the
literature (actual) value. Find the Be atomic weight from periodical
table.
You may try to search about literature value in the text book or through the internet
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(6) Within a cubic unit cell, sketch the following directions:
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(7) Determine the indices for the directions shown in the following cubic unit cell:
……
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(8) Sketch within a cubic unit cell the following planes:
(9) Determine the Miller indices for the planes shown in the following unit cells:
…
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(10) Calculate linear density for FCC [100] and [111] directions.
…
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(11) Calculate linear density expressions for BCC [110] and [111] directions.
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(12) Calculate planar density expressions for FCC (100) and (111) planes.
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(13) Calculate planar density expressions for BCC (100) and (110) planes.
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(14) The metal rhodium has an FCC crystal structure. If the angle of diffraction for
the (311) set of planes occurs at 38° (first-order reflection) when monochromatic
x-radiation having a wavelength of 0.0711 nm is used, compute:
(a) the interplanar spacing for this set of planes, and
(b) the atomic radius for a rhodium atom.
Home Work 1
Page 13
(15) X-ray diffraction analysis experiment of the first order is performed for an FCC
element, calculate the incidence angle (θ) of the diffraction X-ray beam that will
indicate plane (100). Given that the available X-ray wavelength λ = 4.0 Å,
element atomic weight and density are 26.9 g/mol and 2.6 g/cm3, respectively.
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(16) The metal niobium has a BCC crystal structure. If the angle of diffraction for the
(211) set of planes occurs at 76° (first-order reflection) when monochromatic
x-radiation having a wavelength of 0.1659 nm is used, compute:
(a) the interplanar spacing for this set of planes, and
(b) the atomic radius for the niobium atom
Home Work 1
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