Struct FrohlichPhonon 

pub struct FrohlichPhonon { /* private fields */ }

One Fröhlich LO-phonon mode of a polar material at a temperature: the parameters of the emission and absorption channels. See the module docs for the equations and their sources.

Implementations

impl FrohlichPhonon

pub fn new( hbar_omega_ev: f64, eps_static: f64, eps_high_frequency: f64, temperature_k: f64, provenance: impl Into<String>, ) -> Result<Self, PhononError>

Check and build. hbar_omega_ev is the LO-phonon energy ħω (eV, finite and positive), eps_static and eps_high_frequency the static and high-frequency relative permittivities ε₀ > ε∞ > 0 (finite), and temperature_k the lattice temperature (K, finite, >= 0; at 0 there is no absorption). provenance names the source of the values and must not be blank.

pub fn sio2(mode: Sio2LoMode, temperature_k: f64) -> Result<Self, PhononError>

One LO mode of SiO₂ at temperature_k, with ε₀ = 3.9 and ε∞ = 2.25 and the mode energies of Sio2LoMode, all as quoted in Ding, Li, Da, Liu, Sci. Technol. Adv. Mater. 22, 932 (2021), doi:10.1080/14686996.2021.1976597, Section 2.3 (the text after Eq. (14) for ε₀, ε∞; the text before it for the modes). The review treats the two modes one at a time; this model has one mode per layer, and how to combine both modes is not modelled here.

pub fn hbar_omega_ev(&self) -> f64

LO-phonon energy ħω, eV.

pub fn eps_static(&self) -> f64

Static relative permittivity ε₀.

pub fn eps_high_frequency(&self) -> f64

High-frequency relative permittivity ε∞.

pub fn temperature_k(&self) -> f64

Lattice temperature, K.

pub fn provenance(&self) -> &str

Source of the parameter values.

pub fn occupation(&self) -> f64

Bose occupation n(T) = 1/(exp(ħω/k_B T) - 1) of the mode (Ding et al. (2021) text after Eq. (14); Taioli & Dapor Eq. (34)); 0 at T = 0.

pub fn emission_inverse_mfp_per_m(&self, e_ev: f64) -> f64

Inverse mean free path for emitting one phonon at energy e_ev, m⁻¹ (Taioli & Dapor Eq. (33); Ding et al. (2021) Eq. (14) divided by the speed). Zero for e_ev <= ħω. The logarithm is evaluated as ln[(1 + √(1 - x))² / x], the same quantity without the cancellation in 1 - √(1 - x) at small x.

pub fn absorption_inverse_mfp_per_m(&self, e_ev: f64) -> f64

Inverse mean free path for absorbing one phonon at energy e_ev, m⁻¹ (Ding et al. (2021) Eq. (15) divided by the speed). Zero at T = 0 or for e_ev <= 0. The logarithm is evaluated as ln[(√(1 + x) + 1)² / x].

Trait Implementations

impl Clone for FrohlichPhonon

fn clone(&self) -> FrohlichPhonon

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for FrohlichPhonon

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

Formats the value using the given formatter.

impl PartialEq for FrohlichPhonon

fn eq(&self, other: &FrohlichPhonon) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl Serialize for FrohlichPhonon

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl StructuralPartialEq for FrohlichPhonon