Lecture

Angular Wave Functions: Hydrogen Atom Structure

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In course

CH-110: Advanced general chemistry I

Le cours comporte deux parties. Les bases de la thermodynamique des équilibres et de la cinétique des réactions sont introduites dans l'une d'elles. Les premières notions de chimie quantique sur les électrons et les liaisons chimiques, exemplifiées en chim ...

Description

This lecture covers the angular wave functions of the hydrogen atom, including the angular momentum, spherical harmonics, and associated legend functions. It explains how the azimuthal quantum number determines the orbital shape and the possible values of m. The lecture also delves into the electronic structure of atoms, discussing the energy levels, orbital sublayers, and the spin quantum number. It concludes with a summary of the electronic structure of the hydrogen atom and the key concepts related to angular wave functions.

Instructors (7)

Jérôme Waser

Jérôme Waser biography and CV's are available on the following website: http://lcso.epfl.ch/waser

Philippe Schwaller

Beat Fierz

Teaching & PhD PhD Students Paria Khalafi, Wei Cai, Pierre Alexander Miranda Herrera, Andrei Zhauniarovich, Matteo Nicolas Doudin, Zongqing Li, Enguerran Majerus, Po-Han Chang, Iana Berlina, Yuji Kamei Past EPFL PhD Students Aurore Marie-France Delachat, Sinan Kilic, Louise Catherine Bryan, Andreas Linus Bachmann, Ninad Dilip Agashe, Nora Guidotti, Maxime Nicolas Mivelaz, Kristina Makasheva, Alexandra Teslenko, Pauline Franz, Salome Riccarda Püntener, Ly Phillippe Past EPFL PhD Students as codirector Dani

Angela Steinauer

Since 2022: Head of the Laboratory of Biomolecular Engineering and Nanomedicine (LIBN), EPFL (Switzerland)2019-2021: MSCA Postdoctoral Fellow at ETHZ (Switzerland)2018: Ph.D. in Chemical Biology from Yale University (USA)2007-2012: B.Sc. & M.Sc. in Chemistry from University of Zurich (Switzerland) Teaching & PhD PhD Students Diogo Miguel De Abreu Viegas, Georges Barnikol, Oliver Dennis, Andrea Elizabeth Melgar Aguilar, Paula Oeser, Manutsawee Thanaburakorn Courses Advanced general chemistry I CH

Jacques-Edouard Moser

Jacques-Edouard Moser is titular professor in physical chemistry and is currently directing the Group for Photochemical Dynamics (Moser Group) of EPFL. He is a graduate of the École polytechnique fédérale de Lausanne, where he received a diploma degree (MSc) in chemical engineering in 1982. After two stays in 1984 and 1985 at Concordia University in Montréal (Canada), he earned in 1986 his Ph.D. in physical chemistry at EPFL (Michael Grätzel, thesis advisor). In 1986, he joined the Eastman Kodak Corporate Research Laboratories at Rochester (NY, USA) as a postdoctoral fellow and was later associated with the NSF Center for Photoinduced Electron Transfer at the University of Rochester. Returning to Switzerland, he was appointed as a lecturer of physical chemistry at EPFL in 1992 and was awarded the habilitation and the venia legendi in 1998. He is titular professor since 2005.His research activity focuses on the study of the dynamics of photoinduced electron transfer and charge carrier separation at donor-acceptor heterojunctions and in nanostructured semiconductors. He is the author and co-author of ca 200 scientific papers (H-index 75). He currently teaches general physical chemistry to freshmen students in chemistry. He gives two classes on general- and redox photochemistry in the MSc program in chemistry and chemical engineering and the doctoral programs in energy and photonics. Jacques-E. Moser presided the Swiss Society of Photochemistry and Photophysics (1995-1998) and chaired the jury of the Grammaticakis-Neumann international prize in photochemistry (1999-2001). He was a member of the board of the Swiss Chemical Society (2007-2012). He served as a member of the standing committee of the European Photochemistry Association (1992-2000) and of the executive committee of the division for fundamental research of the Swiss Chemical Society (1999-2014). He was the director of the Section of Chemistry and Chemical Engineering of EPFL and a member of the direction of the School of Basic Sciences from 2007 to 2015.

Official source

Ontological neighbourhood

Physics

Atomic physics: Topics in atomic physics

Related concepts (32)

Azimuthal quantum number

In quantum mechanics, the azimuthal quantum number is a quantum number for an atomic orbital that determines its orbital angular momentum and describes the shape of the orbital. The azimuthal quantum number is the second of a set of quantum numbers that describe the unique quantum state of an electron (the others being the principal quantum number n, the magnetic quantum number m_l, and the spin quantum number m_s). It is also known as the orbital angular momentum quantum number, orbital quantum number, subsidiary quantum number, or second quantum number, and is symbolized as l (pronounced ell).

Quantum number

In quantum physics and chemistry, quantum numbers describe values of conserved quantities in the dynamics of a quantum system. Quantum numbers correspond to eigenvalues of operators that commute with the Hamiltonian—quantities that can be known with precision at the same time as the system's energy—and their corresponding eigenspaces. Together, a specification of all of the quantum numbers of a quantum system fully characterize a basis state of the system, and can in principle be measured together.

Magnetic quantum number

In atomic physics, a magnetic quantum number is a quantum number used to distinguish quantum states of an electron or other particle according to its angular momentum along a given axis in space. The orbital magnetic quantum number (ml or m) distinguishes the orbitals available within a given subshell of an atom. It specifies the component of the orbital angular momentum that lies along a given axis, conventionally called the z-axis, so it describes the orientation of the orbital in space.

Principal quantum number

In quantum mechanics, the principal quantum number (symbolized n) is one of four quantum numbers assigned to each electron in an atom to describe that electron's state. Its values are natural numbers (from 1) making it a discrete variable. Apart from the principal quantum number, the other quantum numbers for bound electrons are the azimuthal quantum number l, the magnetic quantum number ml, and the spin quantum number s. As n increases, the electron is also at a higher energy and is, therefore, less tightly bound to the nucleus.

Spin quantum number

In physics, the spin quantum number is a quantum number (designated s) that describes the intrinsic angular momentum (or spin angular momentum, or simply spin) of an electron or other particle. It has the same value for all particles of the same type, such as s = 1/2 for all electrons. It is an integer for all bosons, such as photons, and a half-odd-integer for all fermions, such as electrons and protons. The component of the spin along a specified axis is given by the spin magnetic quantum number, conventionally written ms.

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