please help me with Questions (6-9 A to F) and (6-12A) 6 Solid-State Chemistry w

Question

please help me with Questions (6-9 A to F) and (6-12A)

6 Solid-State Chemistry w that, sor a cubic lattice, the vector TTT is a perpendicular to the 111 crystal face 6.4 Show 305 a tetragonal crystal with c = 2a = 2b. Calculate the angle between the 111 vec Consider and the 111 face tal structure belongs to the space group P4/n tor What is the point group of the space group in Schoenflies notation? what crystal system does the crystal belong? How many lattice points may be said to belong to the unit cell? With the aid of a stereogram for the D,h point group, develop the group multiplication for this group List the symmetry elements of the Cse group and develop a stereogram for the group unit cell for perovskite is shown at the right (a) How many Ca atoms are there per unit cell? (b) How many Ti/unit cell? (c) How many O/unit cell? (d) What is the chemical formula? (e) Into how many parts does a set of 222 planes divide the unit cell (f) Sketch in this set of planes 0 0 i o rive a general formula for the distance between hkl planes in a cubic latice. (Hint: What 6.11 (a) Under what circumstances with regard to relative sizes of ions and degree of nonpolar (b) The phenomenon of "half-melting" of solid electrolytes is related to which type of de- 6.12 Consider a linear carbyne structure with alternating short and long C-C bond distances as is the distance in reciprocal space from the origin to the point hkl?) character are Frenkel and Schottky defects likely? fect? indicated below, with the z axis as given (a) Sketch a set of bonding and antibonding orbitals for the p, orbitals of a Ca unit in the above and label the moning and * orbitals (b) Sketch a portion of the wavefunction formed from monding at k = 0 (c) Sketch a portion of the wavefunction formed from bonding at k-0.5 (d) Sketch a portion of the wavefunction formed from * at k 0 (e) Sketch a portion of the wavefunction formed from * at k 0.5a Show band structure (the energy versus k) for the band e Ge s formed from the Thonding and the is about equally distributed between Ga and As sites. Which Se be an n-type or a p orbitals for a carbyne chain 13 If Ge is added to GaAs, th d Ge prefer if Se is added also? Would GaAs doped with and their electron populations for a he curves for the distribution of energy states c conductor, an insulator, and a semiconductor type semiconductor?

Explanation / Answer

Q6.9

A)

only 1 ato of Ca is present in a unit cell

B)

Ti present --> 8 --> 1/8th each --> 1/8*8 =1 atoms of Ti

c)

Oxygens --> 1/4th each --> 1/4*12 = 3 atoms of O

d)

chemical formula seems to be

CaTiO3

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