Erwin Schrödinger.
However, the wave-like behavior of his famous equation is actually a probability function that can be applied to any quantum state, not just position and not just for an electron.
Electron motion is a perfect example of how quirky quantum science is. When not being observed, an electron acts like a wave of energy. When being observed, it acts like a particle. So scientists describe the location of an electron as a probability.
The model used to describe the behavior of very small particles like electrons in an atom is called the quantum mechanical model. This model incorporates principles of quantum mechanics to explain the properties and behavior of particles at atomic and subatomic levels. It replaces the older Bohr model, providing a more accurate description of electron behavior within an atom.
Neils Bohr made the ASSUMPTION that electrons could only exist in discrete energy levels when the electrostatic field of a nucleus -- he made no attempt to show WHY this was so. Louis de Broglie postulated that electron movement could be described as a wave, with the wavelength being equal to Planck's Constant divided by the electron's momentum. Starting with this postulate, one can derive that the only permitted radial orbits of an electron are those with a circumference equal to a multiple of these wavelengths. Erwin Schrodinger devised a mathematical formula for which one could derive these energy levels -- and a lot more. As such, Schrodinger's Equation was more fundamental to our understanding of sub-atomic reality. Schrondinger viewed his wave function (more precisely, the product of the wave function) as the charge density of a smeared-out electron. Although you didn't ask, it was Max Born who showed that the wave-function product was, instead, the probability of finding a point-like electron at a specific place and time.
Scientists use tools like electron microscopes and particle accelerators to study tiny particles that are too small to see with the naked eye. These instruments can magnify the particles and provide detailed images and data about their size, shape, and behavior. Scientists also use theoretical models and mathematical equations to study the properties and interactions of these particles.
The model used to describe the behavior of very small particles like electrons orbiting an atom is the quantum mechanical model. This model incorporates principles of quantum mechanics to describe the probability of finding an electron at different locations around the nucleus of an atom.
Electron motion is a perfect example of how quirky quantum science is. When not being observed, an electron acts like a wave of energy. When being observed, it acts like a particle. So scientists describe the location of an electron as a probability.
Scientists use the quantum mechanical model to describe how electrons move around the nucleus. This model takes into account both the wave-like and particle-like properties of electrons, providing a more accurate description of their behavior within an atom. It uses mathematical equations based on the principles of quantum mechanics to determine the probability of finding an electron at a given location around the nucleus.
The model used to describe the behavior of very small particles like electrons in an atom is called the quantum mechanical model. This model incorporates principles of quantum mechanics to explain the properties and behavior of particles at atomic and subatomic levels. It replaces the older Bohr model, providing a more accurate description of electron behavior within an atom.
The electron cloud refers to the region around a nucleus where an electron is most likely to be found. It represents the probability of finding an electron at a particular location in an atom. The cloud is not a physical structure but rather a mathematical representation of the electron's behavior within an atom.
Individual electron orbitals are described by mathematical equations that represent the probability of finding an electron in a specific region around the nucleus. The shapes of the orbitals result from the wave nature of electrons and their interactions with the nucleus and other electrons, leading to stable and energetically favorable distributions of electron density. Each orbital shape reflects the geometry of the electron distribution that minimizes repulsions and maximizes stability.
Neils Bohr made the ASSUMPTION that electrons could only exist in discrete energy levels when the electrostatic field of a nucleus -- he made no attempt to show WHY this was so. Louis de Broglie postulated that electron movement could be described as a wave, with the wavelength being equal to Planck's Constant divided by the electron's momentum. Starting with this postulate, one can derive that the only permitted radial orbits of an electron are those with a circumference equal to a multiple of these wavelengths. Erwin Schrodinger devised a mathematical formula for which one could derive these energy levels -- and a lot more. As such, Schrodinger's Equation was more fundamental to our understanding of sub-atomic reality. Schrondinger viewed his wave function (more precisely, the product of the wave function) as the charge density of a smeared-out electron. Although you didn't ask, it was Max Born who showed that the wave-function product was, instead, the probability of finding a point-like electron at a specific place and time.
hendrik antoon lorentz a dutch physiscist who won a nobel prize in1902 for developing the mathematical theory of the electron
The quantum mechanical model is a mathematical framework used to describe the behavior of particles at the atomic and subatomic levels. It incorporates principles of quantum mechanics to predict the behavior of particles like electrons based on probabilities rather than definite trajectories. This model has been successful in explaining many phenomena observed in the microscopic world.
Schrodinger wave equation
Scientists use tools like electron microscopes and particle accelerators to study tiny particles that are too small to see with the naked eye. These instruments can magnify the particles and provide detailed images and data about their size, shape, and behavior. Scientists also use theoretical models and mathematical equations to study the properties and interactions of these particles.
The model used to describe the behavior of very small particles like electrons orbiting an atom is the quantum mechanical model. This model incorporates principles of quantum mechanics to describe the probability of finding an electron at different locations around the nucleus of an atom.
The scientist who developed a mathematical theory of the electron and won a Nobel prize for it in 1902 was Hendrik A. Lorentz. He was a mathematician and physicist who contributed to the study of electromagnetism.