Pauli’s exclusion principle and Hund’s rule

Pauli’s exclusion principle and Hund’s rule are both fundamental principles of quantum mechanics that describe the behavior of electrons in atoms. Pauli’s exclusion principle states that no two electrons in an atom can have the same set of quantum numbers. In other words, each electron in an atom must have a unique combination of values…

Aufbau Principle

The Aufbau principle, also known as the Aufbau rule, is a fundamental concept in chemistry that explains the order in which electrons fill atomic orbitals in an atom. It is based on the idea that electrons occupy the lowest available energy level or orbital first, before filling higher levels or orbitals. According to the Aufbau…

Shapes of s, p and d orbitals

The shapes of s, p, and d orbitals are as follows: It’s important to note that the shapes of these orbitals are theoretical representations based on mathematical models, and the actual distribution of electrons in an atom is more complex and dynamic. What is Required Shapes of s, p and d orbitals The shapes of…

Wave function and Probability density (plots only)

Wave function In quantum material science, a wave capability is a numerical depiction of the quantum condition of a secluded quantum framework. The wave capability is a complex-esteemed likelihood plentifulness, and the probabilities for the potential consequences of estimations made on the framework can be gotten from it. The most widely recognized images for a…

Quantum numbers

Quantum numbers are a set of numbers that describe the state of an electron in an atom or molecule. There are four quantum numbers: Together, these four quantum numbers provide a unique set of parameters that describe the state of an electron in an atom or molecule. What is Required Quantum numbers In quantum mechanics,…

Energies

Energy is a fundamental concept in physics, and it refers to the ability of a system to do work. There are various forms of energy, including: These different forms of energy can be converted from one form to another, and the total amount of energy in a closed system is conserved, meaning it cannot be…

Qualitative quantum mechanical picture of hydrogen atom

The hydrogen atom is one of the simplest quantum mechanical systems and can be described qualitatively using several key concepts. First, the electron in the hydrogen atom is not confined to a specific location in space but rather exists in a “cloud” of probability called the electron density. The electron density gives the probability of…

Uncertainty principle

The uncertainty principle is a fundamental principle of quantum mechanics, which states that certain pairs of physical properties of a particle, such as position and momentum, cannot both be precisely determined or known simultaneously. This means that the more accurately we know the position of a particle, the less precisely we can know its momentum,…

De Broglie hypothesis

The De Broglie hypothesis, proposed by French physicist Louis de Broglie in 1924, suggests that all matter, including particles such as electrons and protons, exhibits wave-like properties. According to the hypothesis, particles have both particle-like and wave-like characteristics, and the wavelength of these particles is inversely proportional to their momentum. This means that the more…

Wave-particle duality

Wave-particle duality is a fundamental concept in physics that describes the nature of matter and light. It refers to the fact that particles, such as electrons and photons, can exhibit both wave-like and particle-like properties, depending on how they are observed and measured. In some experiments, particles behave as discrete, localized particles with a definite…