It could also explain the presence of multiple orbitals and the fine spectrum arising out of all atoms. But Schrodinger wave function has multiple unique solutions that represent characteristic radius, energy, amplitude and probability density of an electron. It’s applicable only to the one-electron system. Pressure is defined as a measure of the force applied over a unit area. Note: Bohr concept was not able to explain the presence of multiple orbitals and the fine spectrum arising out of them. But in case of an atom, it is a function of the coordinates of the electrons that make up the atom and the modulus of psi tells us the probability density of finding the electrons at specified locations. Using very dense liquid mercury (left) permits the. If psi is a solution of the time-independent Schrodinger equation, it depicts the state of a system with a specific energy. In a barometer, the height, h, of the column of liquid is used as a measurement of the air pressure. Psi stands for the wave function of the system describing the state of the system. A scholar would need a new symbol to represent their new idea and Greek was one of the tools at hand. Any variable property that creates the matter waves is a wave function of the matter-wave. It represented the consonant cluster /ps/ in the Eastern Greek alphabet and the voiceless aspirated velar plosive /k/ in the Western Greek alphabet (compare Etruscan khe ). Matter waves are very small particles in motion having a dual nature of particle and wave. ( ps) ( lowercase, uppercase ) Lower-case psi ( ), the 23rd letter of the ancient Greek alphabet. Wave function is used to represent matter waves. It also describes the way these waves are influenced by external factors by making use of the energy conservation concept that gives details about the behaviour of an electron attached to the nucleus.īesides, by calculating the Schrödinger equation we obtain wave function psi and its square which helps us determine the quantum numbers along with the orientations and the shape of orbitals where electrons are found in a molecule or an atom. Schrodinger wave equation gives us a detailed account of the form of the wave functions or probability waves which control the motion of smaller particles. ![]() ![]() ![]() It is based on three considerations i.e., Classical plane wave equation, Broglie’s Hypothesis of matter-wave and Conservation of Energy. Schrodinger wave equation describes the behaviour of a particle in a field of force or we can say the change of a physical quantity over time. As it is a wave equation, we can say that there must be a wave function to represent that.Įrwin Schrödinger developed the Schrodinger equation and was even awarded the Nobel Prize in 1933. Hint: Schrodinger wave equation is basically a mathematical expression which describes the energy and position of the electron in space and time, taking into account the matter wave nature of the electron inside an atom.
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