
Slide 1
... orbital in which the electron is close to the nucleus (n = 1) into an orbital in which it is further from the nucleus (n = 2). The principal quantum number therefore indirectly describes the energy of an orbital. The angular quantum number (Azimuthal Quantum Number) (l) describes the shape of the or ...
... orbital in which the electron is close to the nucleus (n = 1) into an orbital in which it is further from the nucleus (n = 2). The principal quantum number therefore indirectly describes the energy of an orbital. The angular quantum number (Azimuthal Quantum Number) (l) describes the shape of the or ...
The Spring 2006 Qualifying Exam, Part 1
... 2. The rate of photoelectron emission is proportional to the light intensity but does not depend on its frequency. 3. The energy of the emitted electron varies linearly with the frequency of the light but is independent of its intensity. 4. There is a threshold frequency for photoemission that is in ...
... 2. The rate of photoelectron emission is proportional to the light intensity but does not depend on its frequency. 3. The energy of the emitted electron varies linearly with the frequency of the light but is independent of its intensity. 4. There is a threshold frequency for photoemission that is in ...
4.2_The_Quantum_Model_of_the_Atom1
... photon knocks the electron off its course. • The Heisenberg uncertainty principle states that it is impossible to determine simultaneously both the position and velocity of an electron or any other particle. ...
... photon knocks the electron off its course. • The Heisenberg uncertainty principle states that it is impossible to determine simultaneously both the position and velocity of an electron or any other particle. ...
QNSR
... operators for topological and network-relational transformation. A(, ,,) may be … Can such a new language, or a new description of the ur-phenomena at least – perhaps understanding the “particle” as a dynamic pre-space-time confluence of a network of events in a hypercrystalline vacuum, not as a ...
... operators for topological and network-relational transformation. A(, ,,) may be … Can such a new language, or a new description of the ur-phenomena at least – perhaps understanding the “particle” as a dynamic pre-space-time confluence of a network of events in a hypercrystalline vacuum, not as a ...
Comparison of the Bohr and Quantum Mechanical
... 1. In the Bohr Model, the electron is treated as a particle in fixed orbits around the nucleus. In the Quantum Mechanical Model, the electron is treated mathematically as a wave. The electron has properties of both particles and waves. The Bohr model was a one-dimensional model that used one quant ...
... 1. In the Bohr Model, the electron is treated as a particle in fixed orbits around the nucleus. In the Quantum Mechanical Model, the electron is treated mathematically as a wave. The electron has properties of both particles and waves. The Bohr model was a one-dimensional model that used one quant ...
Document
... B. The Heisenberg Uncertainty Principle (Werner Heisenberg - 1927) 1. "It is impossible to determine simultaneously both the position and velocity of an electron or any other particle a. Electrons are located by their interactions with photons b. Electrons and photons have similar energies c. Inter ...
... B. The Heisenberg Uncertainty Principle (Werner Heisenberg - 1927) 1. "It is impossible to determine simultaneously both the position and velocity of an electron or any other particle a. Electrons are located by their interactions with photons b. Electrons and photons have similar energies c. Inter ...
Quantum mechanics
... Make an initial guess of the values of cx Use these to calculate the elements of P Solve the Roothaan-Hall equations to give new values for cx Use these new values to calculate the elements of P If the new P is not sufficiently similar to the old P, repeat until it ...
... Make an initial guess of the values of cx Use these to calculate the elements of P Solve the Roothaan-Hall equations to give new values for cx Use these new values to calculate the elements of P If the new P is not sufficiently similar to the old P, repeat until it ...
Early Quantum Theory and Models of the Atom
... a. More electrons being ejected b. The same maximum kinetic energy for all the electrons 2. If frequency is increased, the maximum kinetic energy increase linearly ...
... a. More electrons being ejected b. The same maximum kinetic energy for all the electrons 2. If frequency is increased, the maximum kinetic energy increase linearly ...
Quantum Numbers
... The principal quantum number (n = 1, 2, 3, 4 ...) denotes the eigenvalue of H with the J2 part removed. This number therefore has a dependence only on the distance between the electron and the nucleus (ie, the radial coordinate, r). The average distance increases with n, and hence quantum states wit ...
... The principal quantum number (n = 1, 2, 3, 4 ...) denotes the eigenvalue of H with the J2 part removed. This number therefore has a dependence only on the distance between the electron and the nucleus (ie, the radial coordinate, r). The average distance increases with n, and hence quantum states wit ...
Particle in a box

In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.