Enum ScreeningLength 

pub enum ScreeningLength {
    Universal,
    Firsov,
    Lindhard,
}

Screening length a(Z1, Z2).

Variants

Universal

Universal length, a_U = 0.8853 a0 / (Z1^0.23 + Z2^0.23). Ziegler, Biersack, Littmark (1985), Ch. 2; the page numbers are those of J. F. Ziegler, J. P. Biersack and M. D. Ziegler, SRIM: The Stopping and Range of Ions in Matter (SRIM Co., 2015), Eq. 2-73, p. 2-30, which prints the prefactor as 0.8853; its Figs. 2-16 and 2-17 (p. 2-32) label it .8854. We use the Thomas-Fermi constant (0.88534, the same value as the Firsov and Lindhard lengths), which agrees with Eq. 2-73 to the printed digits; see docs/data-provenance.md.

Firsov

Firsov length, a_F = 0.8853 a0 / (sqrt(Z1) + sqrt(Z2))^(2/3). O. B. Firsov, Sov. Phys. JETP 6, 534 (1958): the scaled distance x' = (Z1^(1/2) + Z2^(1/2))^(2/3) R / a (p. 536), with a = (9 pi^2/128)^(1/3) hbar^2/(m e^2) = 4.68e-9 cm (p. 535, below eq. (4)). Verified against the scan at http://www.jetp.ras.ru/cgi-bin/dn/e_006_03_0534.pdf.

Lindhard

Lindhard (Thomas-Fermi) length, a_L = 0.8853 a0 / (Z1^(2/3) + Z2^(2/3))^(1/2). J. Lindhard, M. Scharff, H. E. Schiott, Mat. Fys. Medd. Dan. Vid. Selsk. 33(14) (1963), p. 8, printed as a = a0 . 0.8853 (Z1^(2/3) + Z2^(2/3))^(-1/2). Verified against the scan at http://gymarkiv.sdu.dk/MFM/kdvs/mfm%2030-39/mfm-33-14.pdf.

Implementations

impl ScreeningLength

pub fn metres(self, z1: f64, z2: f64) -> f64

Screening length in metres for atomic numbers z1, z2.

Trait Implementations

impl Clone for ScreeningLength

fn clone(&self) -> ScreeningLength

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for ScreeningLength

impl Debug for ScreeningLength

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

Formats the value using the given formatter.

impl Eq for ScreeningLength

impl Hash for ScreeningLength

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl PartialEq for ScreeningLength

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

Equality operator ==.

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

Inequality operator !=.

impl StructuralPartialEq for ScreeningLength