A Convenient Notation for Powers of Ten and Logarithms A

The decimal point can be the color change to be readily observed by the students and instructor. When the heating is completed the crucible ... added ...
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WALTER A. WOLF Colgate Unlvsrslty Hamilton, New York

A Convenient Notation for Powers of Ten and Logarithms H. Oesterreicher University of California, San Diego La Jolla, California 92093 In the following, a convenient notation for numerical presentation and the concept of the power of ten is proposed which is used by the author in science classes. Accordingly, 10' is written 5, read x bar. By extension, we can write log a = b as a = 6. As an example, 1000 or 103 is written 3 (three bar). The familiar log 2 = 0.3 (which stands for 2 = 100.3) becomes The lattice parameter of Cu is written 3.6147 2 0 m, 2 = g. 103.6147. The decimal point can be or more didactically, . momitted by agreement. A welcome convenience of the "bar notation" is the possibility for omission of the customary prefixes such as kilo or terra. A terrameter (1012m) becomes a 12 bar meter, written 12 m. (Alternatively, this may be called a 12 p meter where p is a shorthand for power in several lan~uanes.)Ranee of disrances from the di-eter of the hydn&n nn"cleus(m.--5 1.3) to the extent of the universe (m 26 l.fi1 are expremed in a most compact fashion. Scientific calculations in the classroom and texts avoid cluttered expositions when performed in bar notation. An added advantage is the fact that no signs for multiplication are needed as the "bar"seoarates the numbers. As an examnle. the energy, k T (in ~oules);corres~ondin~ to 100Kis kT = 1.38 2 = J 1.38.

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A Demonstration in Solid State Chemistry: The Nonstoichiometry of Nickel Oxide, NiO Charles T. Perrino and Robert Johnson California State University, Hayward Hayward, 94542 It might surprise general chemistry students to know that nickel oxidecnn he prepared in nonstoichiometric proportions. While green nickelbxihe has the familiar formula-N~O,a grey material obtained from Baker Chemical Company has a ratio closer to Nio.980. A color transformation from grey to green can be observed and the extent of nonstoichiometry determined by a very simple experiment. If heat is applied to grey NiO a reaction oecurs which causes oxygen to he expelled from the compound. When the oxygen leaves the solid, some Ni3+ is converted to Ni2+ as the Law of Definite Proportions is approached as a limit. The dual oxidation state of nickel thus provides a means for the existence of the nonstoichiometrv. A 20-ml porcelain crucible and cover should be heated to a constant weiaht to f0.0005 a. Previouslv 2-3 e of mev NiO are dried in anoven a t 110°C f i r 1hr, as ~ 1 ; a0b s ~ r b s & i i t u r e from the air. When theNiO is cool, thesample is placed in the

crucible and weighed. With the cover off, the crucible is heated with a Fisher burner for 3-4 min (but not longer, to avoid sintering) or with a Bunsen burner for 1 5 2 0 min. This permits the color change to be readily observed by the students and instructor. When the heating is completed the crucible should he cooled with the cover on in a desiccator and weiehed. In the event that some sample still has the grey color the procedure should he repeated. Dependinn on the sample size approximately 0.01-0.02 g of oxygen will be driven bff and the nonstoicbiometry may be calculated.

A Simplification for Obtaining Russell-Saunders Term Symbols E. A. Castro Institute de Inuestigaciones Fisicoqubmicas Tedricas y Aplicadas, Sucursal4-Casilla de Correo 16 lgOOLa Plata-Argentina The method for obtaining Russell-Saunders term symbols described by K. E.Hyde [J. CHEM. EDUC.,52,87 (1975)l may be simplified without introducing any substantial change. Once the major array is constructed to testing to see that every microstate is included, the procedure consists in eliminating all ML and M s values (a subarray) that belong to a particular term, thus producing a new major array. This process is repeated until the major array vanishes. But the major array is doubly symmetrical in the sense that a) for a given ML the number of microstates is equal for M s and -Ms. and b) for a given M s the number of microstates is equal for MI, and -ML. It is then enough to work with non-negative M L and MS values in order to make the successive subtractions of terms. The simplification of the process makes it a quick task to ohrnin Russell-Saunders term ssmbols from electronic configurations. Copies of the simplified procedure for different electronic configurations are available upon request to the author.

Biochemistrv Laboratorv Ex~eriments Jeffrey A. Hurlbut Metropolitan State College Denver, Colorado 80204 The introductory biochemistry laboratory is a difficult course to teach because of several factors. The students have varied hackgrounds; the equipment and chemicals are expensive; the instruments are in constant demand; the class sizes are large; and there are few biochemistry laboratory manuals. Because of these factors we devised our own biochemistry laboratory scheme. This laboratory scheme consiswd of ten exwriments from which the studentssel~ctedanv four during the quarter, developed their own performed the experiments, and reported the results. Were~

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Volume 54, Number 6, June 1977 1 367