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  2. Half-reaction - Wikipedia

    en.wikipedia.org/wiki/Half-reaction

    In chemistry, a half reaction (or half-cell reaction) is either the oxidation or reduction reaction component of a redox reaction. A half reaction is obtained by considering the change in oxidation states of individual substances involved in the redox reaction. Often, the concept of half reactions is used to describe what occurs in an ...

  3. Series and parallel springs - Wikipedia

    en.wikipedia.org/wiki/Series_and_parallel_springs

    Equivalent Spring Constant (Series) When putting two springs in their equilibrium positions in series attached at the end to a block and then displacing it from that equilibrium, each of the springs will experience corresponding displacements x 1 and x 2 for a total displacement of x 1 + x 2.

  4. Heterogeneous water oxidation - Wikipedia

    en.wikipedia.org/wiki/Heterogeneous_Water_Oxidation

    Of the two half reactions, the oxidation step is the most demanding because it requires the coupling of 4 electron and proton transfers and the formation of an oxygen-oxygen bond. This process occurs naturally in plants photosystem II to provide protons and electrons for the photosynthesis process and release oxygen to the atmosphere, [ 1 ] as ...

  5. Van 't Hoff equation - Wikipedia

    en.wikipedia.org/wiki/Van_'t_Hoff_equation

    The Van 't Hoff equation relates the change in the equilibrium constant, K eq, of a chemical reaction to the change in temperature, T, given the standard enthalpy change, Δ r H ⊖, for the process. The subscript r {\displaystyle r} means "reaction" and the superscript ⊖ {\displaystyle \ominus } means "standard".

  6. Two-state quantum system - Wikipedia

    en.wikipedia.org/wiki/Two-state_quantum_system

    The above matrix equation should thus be interpreted as a restrictive condition on a general state vector to yield an eigenvector of , exactly analogous to the time-independent Schrödinger equation. Of course, in general, commuting the matrix with a state vector will not result in the same vector multiplied by a constant E.

  7. Frost diagram - Wikipedia

    en.wikipedia.org/wiki/Frost_diagram

    The slope of the line between any two points on a Frost diagram gives the standard reduction potential, E°, for the corresponding half-reaction. On the Frost diagram for nitrogen here below, the slope of the straight line between N 2 (at the origin of the plot) and nitrite ( HNO 2 / NO − 2 ) being slightly more pronounced than for nitrate ...

  8. Numerical methods for ordinary differential equations - Wikipedia

    en.wikipedia.org/wiki/Numerical_methods_for...

    First-order means that only the first derivative of y appears in the equation, and higher derivatives are absent. Without loss of generality to higher-order systems, we restrict ourselves to first-order differential equations, because a higher-order ODE can be converted into a larger system of first-order equations by introducing extra variables.

  9. Maxwell's equations - Wikipedia

    en.wikipedia.org/wiki/Maxwell's_equations

    The above equations are the microscopic version of Maxwell's equations, expressing the electric and the magnetic fields in terms of the (possibly atomic-level) charges and currents present. This is sometimes called the "general" form, but the macroscopic version below is equally general, the difference being one of bookkeeping.