I n their pioneering work over 75 years ago, Wigner and Huntington (1) predicted that solid molecular hydrogen would dissociate and become an atomic metal when pressurized to 25 GPa (25 GPa = 0.25 megabar) at a temperature T = 0 K. Subsequently, one of the great challenges of condensed matter physics in the past and present century has been to achieve metallization of hydrogen. Theory and experiment have worked hand in hand. Hydrogen is conceptually the simplest of all atoms, with a single proton and electron, doubled in the molecule, yet it is extremely challenging to theorists. This is mainly because of the light mass, resulting in large zero-point motion (i.e., motion of the nuclei of a many-body solid at 0 K). To achieve the most accurate theoretical results, a full quantum mechanical analysis is required at all densities and conditions.Following Wigner and Huntington (1), predictions of the metallization pressure (P) have ranged as high as 20 megabars and currently, are in the range of 4-6 megabars. This has been somewhat guided by experiment: the highest static pressures achieved with diamond anvil cells have been ∼3.5 megabar, with hydrogen remaining an insulating molecular solid. Further predictions for metallic hydrogen are that it would be metastable (i.e., remain in the metallic state when pressure is released), may be a room temperature superconductor, and may even be a liquid at 0 K when compressed to the atomic metallic state. To test these predictions, a statically compressed sample at modest temperatures will be required.A second path to metallization of hydrogen is at high temperature and pressure in the liquid phase. This region is called hot-dense matter and is of particular interest to planetary scientists; these are the conditions found in the giant outer planets and exoplanets where the dense matter can exist as a plasma. A plasma is a fluid with ionized atoms or molecules. In a fluorescent lamp, a low-density, lowtemperature gas of atoms is ionized by an applied electric field. At high enough temperatures and pressures in a gas or liquid, a plasma can be formed because a certain portion of the particles are thermally ionized and the condensed matter system can electrically conduct. The article by Morales et al. (2) in PNAS predicts a first-order phase transition to a metallic phase of liquid atomic hydrogen at high pressure and temperature. This is the so-called plasma-phase transition (PPT). A possible phase diagram of hydrogen is shown in Fig. 1.Theoretical studies have various degrees of sophistication, and because predictions of properties of hydrogen have had a number of conflicting results, it is useful to classify these. Most modern studies of hydrogen use Monte Carlo or moleculardynamics simulations requiring substantial computing resources. Here, a large number of particles are allowed to collide or interact with each other until they achieve an equilibrium phase. The least demanding approach is to use effective pair potentials for each density, but these do not accurately handle...