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Quantum Mechanical Model
A model that describes the behavior of electrons in atoms as wave functions, incorporating principles of quantum mechanics.
Wave Function
A mathematical function that describes the quantum state of a system, providing information about the probability of finding a particle in a particular location.
Heisenberg Uncertainty Principle
A fundamental theory stating that the position and momentum of a particle cannot both be precisely determined at the same time.
Electron Cloud
A visual representation of the probable locations of electrons around the nucleus of an atom, indicating areas of high and low electron density.
Quantum Numbers
A set of four numbers that describe the unique quantum state of an electron in an atom, including its energy level, shape, orientation, and spin.
Principal Quantum Number (n)
Indicates the main energy level of an electron in an atom, with higher values corresponding to higher energy and distance from the nucleus.
Angular Momentum Quantum Number (l)
Determines the shape of the electron's orbital, with possible values ranging from 0 to n-1.
Magnetic Quantum Number (m_l)
Specifies the orientation of an orbital in space, with values ranging from -l to +l.
Spin Quantum Number (m_s)
Describes the intrinsic spin of an electron, which can be either +1/2 or -1/2.
Pauli Exclusion Principle
A principle stating that no two electrons in an atom can have the same set of four quantum numbers.
Orbital
A region in an atom where there is a high probability of finding an electron, characterized by specific shapes and energy levels.
s Orbital
A spherical orbital that can hold a maximum of two electrons, corresponding to the principal quantum number n.
p Orbital
A dumbbell-shaped orbital that can hold a maximum of six electrons, starting from the principal quantum number n=2.
d Orbital
A more complex-shaped orbital that can hold a maximum of ten electrons, starting from the principal quantum number n=3.
f Orbital
An even more complex-shaped orbital that can hold a maximum of fourteen electrons, starting from the principal quantum number n=4.
Electron Configuration
The arrangement of electrons in an atom's orbitals, following specific rules such as the Aufbau principle and Hund's rule.
Aufbau Principle
A rule stating that electrons occupy the lowest energy orbitals first before filling higher energy levels.
Hund's Rule
A principle stating that electrons will fill degenerate orbitals (same energy level) singly before pairing up in the same orbital.
Valence Electrons
Electrons in the outermost shell of an atom that are involved in chemical bonding.
Noble Gas Configuration
A shorthand notation for electron configuration that uses the nearest noble gas to simplify the representation.
Quantum Mechanics
A fundamental theory in physics that describes the behavior of matter and energy at atomic and subatomic scales.