Struct Morse 

pub struct Morse {
    pub rest_length: Scalar,
    pub depth: Scalar,
    pub parameter: Scalar,
}

The Morse potential.¹

---

1. P.M. Morse, Physical Review 34, 57 (1929). ↩

Fields

rest_length: Scalar

The rest length $x_0$.

depth: Scalar

The potential depth $u_0$.

parameter: Scalar

The Morse parameter $a$.

Trait Implementations

impl Clone for Morse

fn clone(&self) -> Morse

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Morse

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Potential for Morse

fn energy(&self, length: Quantity<Length>) -> Quantity<Energy>

u(x) = u_0\left[1 - e^{-a(x - x_0)}\right]^2

fn force(&self, length: Quantity<Length>) -> Quantity<Force>

f(x) = 2au_0e^{-a(x - x_0)}\left[1 - e^{-a(x - x_0)}\right]

fn forces_at_energy(&self, energy: Quantity<Energy>) -> [Quantity<Force>; 2]

f(u) = \pm 2a u_0\sqrt{u/u_0}\left(1 \mp \sqrt{u/u_0}\right)

fn stiffness(&self, length: Quantity<Length>) -> Quantity<ForcePerLength>

k(x) = 2a^2u_0e^{-a(x - x_0)}\left[2e^{-a(x - x_0)} - 1\right]

fn anharmonicity(&self, length: Quantity<Length>) -> Quantity<Stress>

h(x) = 2a^3u_0e^{-a(x - x_0)}\left[1 - 4e^{-a(x - x_0)}\right]

fn extension(&self, force: Quantity<Force>) -> Quantity<Length>

\Delta x(f) = \frac{1}{a}\,\ln\left(\frac{2}{1 + \sqrt{1 - f/f_\mathrm{max}}}\right)

fn extensions_at_energy( &self, energy: Quantity<Energy>, ) -> [Quantity<Length>; 2]

\Delta x(u) = \frac{1}{a}\,\ln\left(\frac{1}{1\mp\sqrt{u/u_0}}\right)

fn compliance( &self, force: Quantity<Force>, ) -> Quantity<ReciprocalForcePerLength>

c(f) = \frac{1}{a^2u_0}\,\frac{\left(1-f/f_\mathrm{max}\right)^{-1/2}}{1+\sqrt{1-f/f_\mathrm{max}}}

fn peak(&self) -> Quantity<Length>

\text{arg max }u(x) = x_0 + \frac{1}{a}\,\ln(2)

fn peak_force(&self) -> Quantity<Force>

f(x_\mathrm{peak}) = \frac{au_0}{2}

fn rest_length(&self) -> Quantity<Length>

\text{arg min }u(x) = x_0

fn nondimensional_energy( &self, nondimensional_length: Scalar, temperature: Quantity<Temperature>, ) -> Scalar

fn energy_at_force(&self, force: Quantity<Force>) -> Quantity<Energy>

fn nondimensional_energy_at_nondimensional_force( &self, nondimensional_force: Scalar, temperature: Quantity<Temperature>, ) -> Scalar

fn nondimensional_force( &self, nondimensional_length: Scalar, temperature: Quantity<Temperature>, ) -> Scalar

fn nondimensional_forces_at_nondimensional_energy( &self, nondimensional_energy: Scalar, temperature: Quantity<Temperature>, ) -> [Scalar; 2]

fn nondimensional_stiffness( &self, nondimensional_length: Scalar, temperature: Quantity<Temperature>, ) -> Scalar

fn nondimensional_anharmonicity( &self, nondimensional_length: Scalar, temperature: Quantity<Temperature>, ) -> Scalar

fn legendre(&self, force: Quantity<Force>) -> Quantity<Energy>

fn nondimensional_legendre( &self, nondimensional_force: Scalar, temperature: Quantity<Temperature>, ) -> Scalar

fn nondimensional_extension( &self, nondimensional_force: Scalar, temperature: Quantity<Temperature>, ) -> Scalar

fn length(&self, force: Quantity<Force>) -> Quantity<Length>

fn nondimensional_length( &self, nondimensional_force: Scalar, temperature: Quantity<Temperature>, ) -> Scalar

fn nondimensional_extensions_at_nondimensional_energy( &self, nondimensional_energy: Scalar, temperature: Quantity<Temperature>, ) -> [Scalar; 2]

fn lengths_at_energy(&self, energy: Quantity<Energy>) -> [Quantity<Length>; 2]

fn nondimensional_lengths_at_nondimensional_energy( &self, nondimensional_energy: Scalar, temperature: Quantity<Temperature>, ) -> [Scalar; 2]

fn nondimensional_compliance( &self, nondimensional_force: Scalar, temperature: Quantity<Temperature>, ) -> Scalar