Adelgazamiento por cizallamiento (pseudoplasticidad)

A Bingham plastic is a viscoplastic material that behaves as a rigid body at low stresses but flows as a viscous fluid at high stress. It is characterized by a yield stress, [latex]\tau_0[/latex], which is the minimum shear stress required to initiate flow. Below this threshold, it does not deform. Common examples include toothpaste, mayonnaise, and clay slurries.

This is a fundamental equation in quantum mechanics that describes how the quantum state of a physical system changes over time. It is a linear partial differential equation for the wavefunction, [latex]\Psi(x, t)[/latex]. The time-dependent version is [latex]i\hbar\frac{\partial}{\partial t}\Psi = \hat{H}\Psi[/latex], where [latex]\hat{H}[/latex] is the Hamiltonian operator, representing the total energy of the system.

In quantum mechanics, momentum is an observable represented by a vector operator. In the position basis, the momentum operator is given by [latex]\hat{\vec{p}} = -i\hbar\nabla[/latex], where [latex]\hbar[/latex] is the reduced Planck constant and [latex]\nabla[/latex] is the gradient operator. The conservation of momentum corresponds to the fact that the Hamiltonian operator commutes with the momentum operator, [latex][\hat{H}, \hat{\vec{p}}] = 0[/latex], for a system with translational symmetry.

It is impossible to simultaneously know with perfect accuracy certain pairs of complementary physical properties of a particle. The most common example is the position [latex]x[/latex] and momentum [latex]p[/latex]. The principle states that the product of their uncertainties, [latex]\Delta x[/latex] and [latex]\Delta p[/latex], must be greater than or equal to a specific value: [latex]\Delta x \Delta p \ge \frac{\hbar}{2}[/latex].

La autocatálisis es una reacción química en la que uno de los productos de la reacción actúa también como catalizador de la misma reacción o de una reacción acoplada. Esto crea un ciclo de retroalimentación positiva que acelera la velocidad de reacción. La velocidad de reacción es inicialmente lenta, pero aumenta a medida que aumenta la concentración del producto (catalizador), lo que a menudo da lugar a curvas cinéticas sigmoideas (en forma de S).

The Landé g-factor ([latex]g_J[/latex]) is a dimensionless proportionality constant that relates an atom's total magnetic moment to its total angular momentum in the weak-field limit. It is crucial for quantitatively explaining the anomalous Zeeman effect. Its value is given by the formula: [latex]g_J = 1 + \frac{J(J+1) + S(S+1) - L(L+1)}{2J(J+1)}[/latex], where L, S, and J are the quantum numbers.

All quantum entities, such as photons and electrons, exhibit both particle and wave properties. Depending on the experimental setup, they can behave like a localized particle or a distributed wave. The de Broglie hypothesis states that any particle with momentum [latex]p[/latex] has an associated wavelength [latex]\lambda = h/p[/latex], where [latex]h[/latex] is Planck's constant.

pH is formally defined as the negative decimal logarithm of the hydrogen ion activity, [latex]a_{H^+}[/latex]. The formula is [latex]pH = -\log_{10}(a_{H^+})[/latex]. Activity is the effective concentration of hydrogen ions, accounting for intermolecular forces, and is dimensionless. For dilute solutions, activity is approximately equal to the molar concentration of [latex]H^+[/latex] ions, simplifying the calculation.

La contracción de los lantánidos es la disminución constante de los radios atómicos e iónicos de los elementos lantánidos (lantano a lutecio) al aumentar el número atómico. Este efecto se debe al deficiente apantallamiento de la carga nuclear por parte de los electrones 4f. Esto da como resultado que los elementos del sexto período que siguen a los lantánidos sean inesperadamente pequeños, similares a sus homólogos del quinto período.

Quantum statistics modifies classical statistical mechanics to account for the indistinguishability of identical particles. It splits into two types: Fermi-Dirac statistics for fermions (half-integer spin particles like electrons), which obey the Pauli exclusion principle, and Bose-Einstein statistics for bosons (integer spin particles like photons), which can occupy the same quantum state. This distinction is crucial at low temperatures and high densities.

La tixotropía y la reopexia describen cambios en la viscosidad que dependen del tiempo. La viscosidad de un fluido tixotrópico disminuye con el tiempo bajo una tensión de cizallamiento constante (p. ej., el yogur se vuelve más líquido al removerlo). La viscosidad de un fluido reopéctico (o antitixotrópico) aumenta con el tiempo bajo una tensión de cizallamiento constante (p. ej., algunos lubricantes). Estos efectos son reversibles; el fluido vuelve a su estado original tras un periodo de reposo.

A quantum mechanical phenomenon where a wavefunction can propagate through a potential energy barrier. Classically, a particle lacking sufficient energy to surmount a barrier would be reflected. However, due to the wave-like nature of particles, there is a non-zero probability that the particle can appear on the other side of the barrier, effectively 'tunneling' through it.