0.74
.74
Are you takling Material Science class? Volume of HCP crystal = (a^2) (c) cos30 Im taking Material Science and Engineering
The volume of HCP is 8*pi*r^3 or 25.13*r^3
To answer this question we must look at the HCP itself. We know it is a Hexagonal close packet (HCP) With a CN=12 and common elements are Ti, Mg, Cd etc.Now we have the backup theory, let's answer the question.APF (Atomic packing factor) will equal Vs/Vcwhere Vs is volume of the atoms contained within the unit cell. Vcbeing the volume of total unit cell. Now we look at the structure HCP:Imagine a hexagonal with 6 equilateral triangles contained.Firstly what is Vs? Easy: (volume or sphere?) =4/3(pie)R^3 x 6 (x6 because of 6 spheres per unit cell, remember? HCP has 6 atoms contained)Dissect one equilateral triangle off to work out it's area. The area of this equilateral triangle? Now the side lengths will be a (any value) with 60 degree angles at each edge (total of 180 degrees) therefore the are will be A=ax a x 1/2 x sin(60) =(Sqrt(3) x (a^2)) / 4Now multiply the area of the single triangle by 6 (remember, 6 triangles).Total Area of base of hexagonal =(Sqrt(3) x (3) x a^2) / 2Now remember the formula relating a with R =>a =2RSub R into our base area formula, therefore =6 x Sqrt(3) x R^2 (excluding working out)Now recall the c/a ratio of HCP? c/a=1.63Hence c =1.63 x a > Now sub R (a =2R...)c =3.26 x RNow recall the question? APF? Therefore look back at Vc/Vs, what are we missing? Vc,now Vc=c x base...Vc=3.26 x R x 10.392 x R^2 =33.878 x R^3thereforeAPF =Vs (recall from top working out) / Vc=(8 x (pie) x R^3) / 33.878 x R^3Vc=0.74 ( cancel the R^3)Easy eh? haha
.74
.74
In HCP packing, atom planes are stacked in ABABAB form. IN CCP (a.k.a. FCC) packing, atom planes are stacked in ABCABC form.
BCC
http://nathas.com/crystal.htm
Are you takling Material Science class? Volume of HCP crystal = (a^2) (c) cos30 Im taking Material Science and Engineering
H(single bond)C(triple bond)P(one pair of lone electrons)
The volume of HCP is 8*pi*r^3 or 25.13*r^3
Most metals and alloys crystallize in one of three very common structures: body-centered cubic (bcc), Li is an example of bcc , hexagonal close packed (hcp) Au is an example of hcp, or cubic close packed (ccp, also called face centered cubic, fcc) Ag is an example of fcg. The yield strength of a "perfect" single crystal of pure Al is ca. 10^6 psi.
CPR for the Healthcare Provider
HCP is similar to AIP, but the symptoms are typically milder. People with HCP may have some skin sensitivity to sunlight, however, extensive damage to the skin is rarely seen.