Morse curve

(noun)

A plot showing the dependence of the energy associated with a system of two atoms on the distance between them (referred to as the 'internuclear distance').

Related Terms

  • equilibrium bond length
  • enthalpy
  • Bond Energy

Examples of Morse curve in the following topics:

  • Bond Energy

    • A Morse curve shows how the energy of a two atom system changes as a function of internuclear distance.
    • The attractive and repulsive forces are balanced at the minimum point in the plot of a Morse curve.
    • A Morse curve will have different energy minima and distance dependence for bonds formed between different pairs of atoms.
    • The bond energy is the amount of work that must be done to pull two atoms completely apart; in other words, it is the same as the depth of the "well" in the potential energy curve.
  • The H_2^+ Molecular Ion

    • $E_u$ (upper curve) and $E_g$ (lower curve) for $H^+_2$ .The dashed curve is a well-fit Morse potential for $E_g(R)$ .
  • A Communications Revolution

    • In 1836, Samuel Morse and Alfred Vail developed an electrical telegraph capable of transmitting text messages over long distances using wire.
    • Together, they developed the Morse code signaling alphabet system.
    • In May of 1844, Morse made the first public demonstration of his telegraph, sending the famous message, "What hath God wrought?"
    • The Morse-Vail telegraph was quickly deployed in the following two decades.
  • Problems

    • I fit a Morse function to the potential of $H_2^+$.
    • You can find the eigenfunctions of the Morse potential on Wikipedia.
  • Curve Sketching

    • Curve sketching is used to produce a rough idea of overall shape of a curve given its equation without computing a detailed plot.
    • Determine the symmetry of the curve.
    • If the exponent of $x$ is always even in the equation of the curve, then the $y$-axis is an axis of symmetry for the curve.
    • Determine the asymptotes of the curve.
    • Also determine from which side the curve approaches the asymptotes and where the asymptotes intersect the curve.
  • American Technology

    • Morse and Alfred Vail developed the American version of the electrical telegraph system, allowing messages to be transmitted through wires over long distances, via pulses of electric current.
    • Messages were transcribed using the signaling alphabet known as Morse code.
  • Demand Schedules and Demand Curves

    • A demand curve depicts the price and quantity combinations listed in a demand schedule.
    • The curve can be derived from a demand schedule, which is essentially a table view of the price and quantity pairings that comprise the demand curve.
    • The demand curve of an individual agent can be combined with that of other economic agents to depict a market or aggregate demand curve.
    • In this manner, the demand curve for all consumers together follows from the demand curve of every individual consumer.
    • The demand curve in combination with the supply curve provides the market clearing or equilibrium price and quantity relationship.
  • The Relationship Between the Phillips Curve and AD-AD

    • Changes in aggregate demand cause movements along the Phillips curve, all other variables held constant.
    • The Phillips curve shows the inverse trade-off between rates of inflation and rates of unemployment.
    • The Phillips curve and aggregate demand share similar components.
    • Now, imagine there are increases in aggregate demand, causing the curve to shift right to curves AD2 through AD4.
    • These two factors are captured as equivalent movements along the Phillips curve from points A to D.
  • B.10 Chapter 10

    • I fit a Morse function to the potential of H$_2^+$.
    • This is related to the parameters that I gave in the question, we know that $\omega^2 = k/\mu_{AB}$ and in the Morse potential $\omega^2 = 2 \beta_n^2 B_n$ so
    • You can find the eigenfunctions of the Morse potential on Wikipedia.
    • The constants $A$ and $B$ are simply the numerical constants $0.07$ and $0.7$ that define the parameters of the Morse potential in dimensionless units.
  • The Supply Curve in Perfect Competition

    • In economics, a cost curve is a graph that shows the costs of production as a function of total quantity produced.
    • In a free market economy, firms use cost curves to find the optimal point of production (minimizing cost).
    • The various types of cost curves include total, average, marginal curves.
    • Some of the cost curves analyze the short run, while others focus on the long run.
    • When a table of costs and revenues is available, a firm can plot the data onto a profit curve.
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