XLVI. Electronic frequency and atomic number

Number Theory and Atomic Densities

Unm - Pnm Statewide Mathematics Contest Xlvi - Solutions

The question is to find 2A+H +N + S. If we add the first and the third equations in the system and subtract the second equation from the result we obtain 2A+H +N + S = 21 + 18− 25 = 14. 2. If f(x) = x + 6x + 12x+ 6, solve the equation f(f(f(x))) = 0. Answer: Note that f(x) = (x + 2) − 2. Thus f(f(x)) = ((x + 2) − 2 + 2) − 2 = (x + 2) − 2 and f(f(f(x))) = ( (x+ 2) − 2 + 2 )3 − 2 = (x+ 2) − 2. So...

Calculation of atomic number states

We analyse the conditions for producing atomic number states in a one-dimensional optical box using the Bethe ansatz method. This approach provides a general framework, enabling the study of number state production over a wide range of realistic experimental parameters. (Some figures in this article are in colour only in the electronic version)

Atomic and electronic structure of graphene-oxide.

We elucidate the atomic and electronic structure of graphene oxide (GO) using annular dark field imaging of single and multilayer sheets and electron energy loss spectroscopy for measuring the fine structure of C and O K-edges in a scanning transmission electron microscope. Partial density of states and electronic plasma excitations are also measured for these GO sheets showing unusual pi* + si...

Atomic wires and their electronic properties

Atomic wire electronics are considered, where the band structure and the resultant Fermi energy are designed by manipulating the lattice constant. Using the tight-binding theory with universal parameters, it is shown that Si wires and arrays are metallic, Mg wires are insulating, and Mg arrays have metallic and insulating phases for infinitely large, isolated cases. Structures are of finite siz...