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# Hydrogen!

Hydrogen! is an iOS app dedicated to the visualization of the atomic orbitals of the hydrogen atom as described by quantum mechanics. It is designed to be a tool for teachers and students who are already familiar with some quantum mechanical concepts but anyone may appreciate the beauty of quantum mechanics! :) What does an atom look like? Well, it has a nucleus around which its electrons move just like planets around the sun, right? WRONG! :) In quantum mechanics we lose the classical concept of trajectory: not only we don't know where an electron really is, the electron somehow isn't really anywhere until we "look" at it! Of course this may sound crazy for anyone who isn't familiar with quantum mechanics. Don't worry though: for any region of space around the nucleus the electrons have a probability of actually being there, so thinking in terms of probability we still have some really important informations about where they actually may be. For the hydrogen atom we are actually able to make exact calculations about this probability, and that's why it is one of the most important result of quantum mechanics. Hydrogen! is a tool for displaying the wave functions (orbitals) of the hydrogen atom, which means we may see how this atom actually “looks” like! FEATURES: - Look at all the 1496 wave functions of the hydrogen atom up to n = 16 - See the wave function modulus or display their phases as colors - Separation of variables: display only the radial or the angular functions - Slices: see any 2D slice of the 3D simulation - 3D Red/Cyan option available - SUPERPOSITION mode: mix the stationary states any way you like, for example to create the so-called "real orbitals" or a state which is not stationary at all! - DIPOLE TRANSITIONS mode: choose a starting orbital, see the transitions permitted by the selections rules and choose one. The corresponding photon emission/absorption will be displayed. You may also notice the metastability of the 2s state! - DIHYDROGEN CATION mode added! See the first 10 lowest-energy states of the H2+ molecule, each one computed for different values of the internuclear distance, from 0 to 10 a0 (where a0 is the Bohr atom). The solutions were computed using the Linear Combinations of Atomic Orbitals (LCAO) method and the variational method.

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