Imagine that you have written down the numbers from 1 to 1,000. What is the total number of zeros you have recorded?

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,000,000?

A sheet of notebook paper is approximately 0.003 in. thick. Tear the sheet in half so that there are 2 sheets. Repeat so that there are 4 sheets. If you repeat again, there will be a pile of 8...

Which of the following reactions can be classified as reactions between Brnsted acids and bases? For those that can be so classified, identify the acid and the base. (a) KOH(aq) + CH3I(aq) CH3OH(aq)...

Compute the results in Problems 3136. Leave your answers in scientific notation. a. (2xy-)(2-x-y4) ,2 c-y X

Compute the results in Problems 3136. Leave your answers in scientific notation. a. (6 x 107) (4.8 x 10-6) 2.4 x 105

Compute the results in Problems 3136. Leave your answers in scientific notation. a. (5 10) (8 105) 4 X 106

Write each of the numbers in Problems 1114 in fixed-point notation. a. 2 6 b. 2.1 10 -3 c. 4.07 + 4

Show that the equation of the plane through the points P 1 , P 2 and P 3 with position vectors r 1 , r 2 and r 3 respectively takes the form

Sketch a set of equidistant 113 planes in a cubic unit cell.

Use the generalized 8N rule to identify whether anionanion or cationcation bonds are present for the following compounds (assume no cation-localized nonbonding electron pairs): (a) Na 2 Tl, (b) SrSb...

Suggest the anion bonding that might occur in MgB 2 and MgC 2 .

Write the Niggli formula and the simple crystal-chemical formula for the CrO 3 structure that contains chains of corner-sharing chromium-centered tetrahedra.

Using the Niggli formula and the rule of parsimony, determine the stoichiometry that results from sharing (a) All corners, (b) All edges, (c) All faces of a cation-centered cube of anions. Note the...

Suggest the bonding present in the Zintl phase KIn.

State the Bravais lattice and write down the crystallographic point-group symbol for a structure of space-group symbol: (a) C2/m, (b) Fmm2, (c) I4/mmm, (d) P312, (e) R3m, (f) P6m2, (g) F23, (h) P2 1...

Rewrite the chemical formulas in Table 1.7 into simplified crystal-chemical formulas of spinel. Table 1.7 Tetrahedron 1 2 2 3 4 5 6 Octahedron 4 3 3 4 2 2 1 1 NNWNWA 3 2 3 2 2 1 Chemical formula of...

Write down crystal-chemical formulas for two-site binary compounds CrN, Cr 2 O 3 , and CrO 2 with octahedrally coordinated chromium.

In each of the following pairs, one species contains a transition metal in the HS state and the other in the LS state. Indicate the complex that is most likely to contain the LS ion. (a) FeCl3 and...

MgSiO 3 is of interest to geologists because it is abundant in the Earths mantle. Silicon is normally tetrahedrally coordinated by oxygen, but, at the high pressures found in the mantle, silicon...

In LaOF, which has a structure closely related to fluorite, each lanthanum is surrounded by four oxide and four fluoride ions. Although X-ray-diffraction studies cannot easily distinguish oxygen from...

For which d-electron counts are there distinct HS and LS states of an octahedrally coordinated transition-metal ion?

What are the values of the principal and orbital angular-momentum quantum numbers for each of the following orbitals? How many radial nodes and nodal planes does each orbital possess? (a) 4s orbital,...

MgF 2 adopts the rutile structure (Figure 1.45) with a = 4.62 and c = 3.04 . The bondvalence parameter R0 MgF = 1.581 . (a) Use the bond-valence method to predict the length of the MgF bonds. (b)...

Construct an MO diagram for a linear H 2 O molecule by analogy with BeH 2 in Figure 5.17. (a) Determine the degeneracy and orbital character of the HOMO and the LUMO. (b) Identify the orbitals on...

NiO adopts the cubic NaCl-type structure while PtO adopts the cooperite structure shown below. (a) What factor do you think is responsible for the differing crystal chemistry preferences of these two...

Consider these six-coordinate ionic radii for divalent, first-row transition-metal ions: r(Ti+) = 0.86 , r(V+) = 0.79 , r(Cr+) = 0.80 , r(Mn+) = 0.83 , r(Fe+) = 0.78 , r(Co+) = 0.745 , (Ni+) = 0.69 ....

Use the MO diagram of oxygen to determine the oxygenoxygen bond order in the peroxide ion, O 2 2 . Will the OO distance in peroxide be longer or shorter than in O 2 ? MO diagram energy H 1s ((1)) E =...

Calculate the total valence-electron content z per formula and predict the properties of the following half-Heusler alloys: Z Ferromagnet? sat (in g) Half-metal? Semiconductor? PdMnSb IrMnSb TiNiSn...

On the Bree Creek Quadrangle map determine the exact strike and dip of the Miocene and Pliocene units and label the map accordingly with the appropriate symbol. List each attitude in the space below...