Physics
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​​Shoot-through proton FLASH beams provide a robust approach to brain tumour treatment.

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​​In physics, Planck's law (also Planck radiation law 1305 ) describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature T, when there is no net flow of matter or energy between the body and its environment. At the end of the 19th century, physicists were unable to explain why the observed spectrum of black-body radiation, which by then had been accurately measured, diverged significantly at higher frequencies from that predicted by existing theories. In 1900, German physicist Max Planck heuristically derived a formula for the observed spectrum by assuming that a hypothetical electrically charged oscillator in a cavity that contained black-body radiation could only change its energy in a minimal increment, E, that was proportional to the frequency of its associated electromagnetic wave. While Planck originally regarded the hypothesis of dividing energy into increments as a mathematical artifice, introduced merely to get the correct answer, other physicists including Albert Einstein built on his work, and Planck's insight is now recognized to be of fundamental importance to quantum theory.
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​​Gay-Lussac's law usually refers to Joseph-Louis Gay-Lussac's law of combining volumes of gases, discovered in 1808 and published in 1809. However, it sometimes refers to the proportionality of the volume of a gas to its absolute temperature at constant pressure. The latter law was published by Gay-Lussac in 1802, but in the article in which he described his work, he cited earlier unpublished work from the 1780s by Jacques Charles. Consequently, the volume-temperature proportionality is usually known as Charles's Law.

The law of combining volumes states that when gases chemically react together, they do so in amounts by volume which bear small whole-number ratios (the volumes calculated at standard temperature and pressure).

The ratio between the volumes of the reactant gases and the gaseous products can be expressed in simple whole numbers.

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​​Mysterious ultrahigh-energy cosmic ray puzzles astronomers.

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​​Cosmic-ray exposure on space missions could cause erectile dysfunction, liquid channels in ice boost frost damage.

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​​Iron atoms at the centre of the Earth move much faster than was previously thought, say researchers in the US and China.

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​​When excited with laser light, an organic material in a metastable phase behaves a little like a room-temperature superconductor. With the right light source, it might even be possible to keep the material in its superconducting-like state continuously.

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​​Six planet system is perfectly tuned so that mini-Neptunes may have remained undisturbed for a billion years.

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​​Soft hydrogel optical fibres deliver light to peripheral nerves to inhibit pain in moving mice.

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​​Slippery surface could improve your toilet experience, why ice can be sticky or slippery.

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​​Fermi-Dirac Distribution

Fermi–Dirac statistics is a type of quantum statistics that applies to the physics of a system consisting of many non-interacting, identical particles that obey the Pauli exclusion principle. A result is the Fermi–Dirac distribution of particles over energy states. It is named after Enrico Fermi and Paul Dirac, each of whom derived the distribution independently in 1926. Fermi–Dirac statistics is a part of the field of statistical mechanics and uses the principles of quantum mechanics.

Fermi–Dirac statistics applies to identical and indistinguishable particles with half-integer spin (1/2, 3/2, etc.), called fermions, in thermodynamic equilibrium. For the case of negligible interaction between particles, the system can be described in terms of single-particle energy states. A result is the Fermi–Dirac distribution of particles over these states where no two particles can occupy the same state, which has a considerable effect on the properties of the system. Fermi–Dirac statistics is most commonly applied to electrons, a type of fermion with spin 1/2.

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