#### Hydrogen atom - radial wave function normalization

R(r)=Nr^l e^(-Zr/na) ∑_(j=0)^(n-l-1)▒〖b_j r_j 〗 Finding the normalization constant: Rodriguez formula for associated Laguerre formula is: (e^x x^(-k))/n! d^n/(dx^n ) (〖e 〗^(-x) x^(n+k) )=(e^x x^(-k-n))/n! x^n d^n/(dx^n ) (〖e 〗^(-x) x^(n+k) ) R(r)=∫_0^∞▒(Nr^l e^(-Zr/na) (...

#### The Concept of Nearest Neighbours

I'm having trouble understanding the concept of "nearest neighbours" and "next nearest neighbours." I understand that the number of nearest neighbours is the number of atoms per unit cell, but that's all I know (and I'm not sure why). I'd like someone to show me how to calculate the number of n...

#### X-Ray diffraction and lattice constant

a) Consider a crystal structure like that of NaCl, but unlike NaCl in this crystal all atoms are of the same type. Assume that x-rays of = 1[nm] are incident at =30° to the surface of the crystal. What is the lattice constant (distance between neighboring atoms) of the cubic crystal? b)...

#### Tunneling

A Hydrogen atom and a Helium atom each with 4 eV of KE approach a thin barrier 6 MeV high which has the greater probability of tunneling through the barrier? Explain.

#### Linear Momentum and Collisions

A neon atom (m = 20 u) makes a perfectly elastic collision with another atom. After the impact, the neon atom travels away at a 54.4° angle from its original direction and the unknown atom travels away at a 50.0° angle. What is the mass of the unknown atom?

#### Matter Wave Question

When the spectrum of once-ionized helium, He+, was first observed, it was interpreted as a newly discovered part of the hydrogen spectrum. The following two questions illustrate this confusion: (a) Show that alternate lines in the Balmer series of He+ - that is, those lines given by the Rydberg form...