A simple picture of an H₂ molecule sharing two electrons is shown in Fig. 40–56. We assume the electrons are symmetrically located between the two protons, which are separated by r₀ = 0.074 nm. Determine analytically the value of d that gives minimum U (greatest stability).

One possible form for the potential energy (U) of a diatomic molecule (Fig. 40–8) is called the Morse Potential:

$U=U_0{[1-e^{-a(r-r_0)}]}^2$

(a) Show that r₀ represents the equilibrium distance and U₀ the dissociation energy.

One possible form for the potential energy (U) of a diatomic molecule (Fig. 40–8) is called the Morse Potential: $U=U_0[1-e^{-a(r-r_0{)}^2}]$. Graph U from r = 0 t o r = 4r₀, assuming a = 18nm^-1, U₀ = 4.6 eV, and r₀ = 0.13 nm.

A simple picture of an H₂ molecule sharing two electrons is shown in Fig. 40–56. We assume the electrons are symmetrically located between the two protons, which are separated by r₀ = 0.074 nm. When the electrons are separated by a distance d, write the total potential energy U in terms of d and r₀.

A simple picture of an H₂ molecule sharing two electrons is shown in Fig. 40–56. We assume the electrons are symmetrically located between the two protons, which are separated by r₀ = 0.074 nm. Make a graph of U in eV as a function of d in nm.

If a charge of $1c$ is moved by the electric force from point $a$ to point $b$, what is the work done by the electric force?

Which formula is used to calculate the amount of electric heat produced by an electric furnace, assuming all electrical energy is converted to heat?

Given three point charges, $q_1$, $q_2$, and $q_3$, located at the vertices of a triangle with distances $r_{12}$, $r_{13}$, and $r_{23}$ between them, what is the total electric potential energy of the system?

In the context of two point charges, when does the electric potential energy $U$ increase as the distance $r$ between them increases?