Global Information Lookup Global Information

Hamaker constant information


In molecular physics, the Hamaker constant (denoted A; named for H. C. Hamaker) is a physical constant that can be defined for a van der Waals (vdW) body–body interaction:

where ρ1, ρ2 are the number densities of the two interacting kinds of particles, and C is the London coefficient in the particle–particle pair interaction.[1][2] The magnitude of this constant reflects the strength of the vdW-force between two particles, or between a particle and a substrate.[1]

The Hamaker constant provides the means to determine the interaction parameter C from the vdW-pair potential,

Hamaker's method and the associated Hamaker constant ignores the influence of an intervening medium between the two particles of interaction. In 1956 Lifshitz developed a description of the vdW energy but with consideration of the dielectric properties of this intervening medium (often a continuous phase).[3]

The Van der Waals forces are effective only up to several hundred angstroms. When the interactions are too far apart, the dispersion potential decays faster than this is called the retarded regime, and the result is a Casimir–Polder force.

  1. ^ a b Hamaker, H. C. (1937). "The London – van der Waals attraction between spherical particles". Physica. 4 (10): 1058–1072. Bibcode:1937Phy.....4.1058H. doi:10.1016/S0031-8914(37)80203-7.
  2. ^ Seung-woo Lee and Wolfgang M. Sigmund (23 May 2002). "AFM study of repulsive Van der Waals forces between Teflon AF thin film and silica or alumina". Colloids and Surfaces A: Physicochemical and Engineering Aspects. 204 (1–3): 43–50. doi:10.1016/S0927-7757(01)01118-9.
  3. ^ Lifshitz, E.M. (1956). "The Theory of Molecular Attractive Forces between Solids". Soviet Journal of Experimental and Theoretical Physics. 2: 73–83.

and 23 Related for: Hamaker constant information

Request time (Page generated in 0.9802 seconds.)

Hamaker constant

Last Update:

In molecular physics, the Hamaker constant (denoted A; named for H. C. Hamaker) is a physical constant that can be defined for a van der Waals (vdW) body–body...

Word Count : 327

Lifshitz theory of van der Waals force

Last Update:

presented here. The Lifshitz theory can be expressed as an effective Hamaker constant in the van der Waals theory. Consider, for example, the interaction...

Word Count : 2165

London dispersion force

Last Update:

is frequently described in terms of a single parameter called the Hamaker constant, typically symbolized A {\displaystyle A} . For atoms that are located...

Word Count : 1609

Gecko feet

Last Update:

{A_{\text{H}}}{12\pi D^{3}}}} where F is the force of interaction, AH is the Hamaker constant, and D is the distance between the two surfaces. Gecko setae are much...

Word Count : 1866

Hamaker

Last Update:

Hamaker may refer to: Hendrik Arent Hamaker, Dutch orientalist Hugo Christiaan Hamaker, Dutch scientist responsible for Hamaker theory Hamaker constant...

Word Count : 126

Dilatant

Last Update:

colloids, −H, Hamaker constant between colloid and solvent, h, distance between colloids, C, surface ion concentration, kB, Boltzmann constant, T, temperature...

Word Count : 2505

Casimir effect

Last Update:

force law of the London dispersion force (with a coefficient called a Hamaker constant) for small a, with a more complicated dependence on a for intermediate...

Word Count : 7986

Disjoining pressure

Last Update:

{\displaystyle \Pi _{d}=-{\frac {A_{H}}{6\pi \delta _{0}^{3}}}} where: AH - Hamaker constant (J) δ0 - liquid film thickness (m) For a solid-liquid-vapor system...

Word Count : 889

Adhesion

Last Update:

is the separation distance, and A is a material-specific constant called the Hamaker constant. The effect is also apparent in experiments where a polydimethylsiloxane...

Word Count : 3950

Hugo Christiaan Hamaker

Last Update:

Hugo Christiaan Hamaker (23 March 1905 in Broek op Langedijk, North Holland – 7 September 1993 in Eindhoven) was a Dutch scientist who was responsible...

Word Count : 667

Fused quartz

Last Update:

kV/cm at 20 °C Magnetic susceptibility: −11.28 × 10−6 (SI, 22 °C) Hamaker constant: A = 6.5 × 10−20 J. Surface tension: 0.300 N/m at 1800–2400 °C Index...

Word Count : 2394

DLVO theory

Last Update:

{\displaystyle \rho _{2}} is the number density of the sphere. For convenience, Hamaker constant A is given as A = π 2 C ρ 1 ρ 2 , {\displaystyle A=\pi ^{2}C\rho _{1}\rho...

Word Count : 2745

Ellen Hamaker

Last Update:

Science. Hamaker is the granddaughter of Dutch scientist Hugo Christiaan Hamaker, noted for his contributions to physics (the Hamaker constant) and statistics...

Word Count : 619

Molecular dynamics

Last Update:

direct measurement of attraction forces between different materials (as Hamaker constant) shows that "the interaction between hydrocarbons across water is about...

Word Count : 9834

Van der Waals force

Last Update:

citation needed] as the starting point) by: where A is the Hamaker coefficient, which is a constant (~10−19 − 10−20 J) that depends on the material properties...

Word Count : 3924

Bimodal atomic force microscopy

Last Update:

analytical expressions were proposed for the determination of the Hamaker constant and the magnetic parameters of a ferromagnetic sample. Bimodal AFM...

Word Count : 3230

Interbilayer forces in membrane fusion

Last Update:

z^{2}}-{2 \over (z+D)^{2}}+{1 \over (z+2D)^{2}}\right)} where H is the Hamaker constant and D and z are the bilayers thickness and the distance of separation...

Word Count : 1613

Bacterial adhesion in aquatic system

Last Update:

{Aa_{p}}{6h}}{\bigg [}1+{\frac {14h}{\lambda }}{\bigg ]}^{-1}} With A is Hamaker constant for bacteria-water-surface collector (quartz) = 6.5 x 10−21 J and λ...

Word Count : 1400

Gerard Gordeau

Last Update:

He instead arranged for his training partners Remco Pardoel and Freek Hamaker to take his place, with him as a cornerman. Two years after his UFC stint...

Word Count : 2030

Intermolecular force

Last Update:

relevant for interactions between macroscopic bodies in condensed systems. Hamaker developed the theory of van der Waals between macroscopic bodies in 1937...

Word Count : 3382

Environmental DNA

Last Update:

Richard; Rödel, Mark-Oliver; Rodgers, Torrey W.; Snape, Stewart; Visseren-Hamakers, Ingrid; Vogler, Alfried P.; White, Piran C. L.; et al. (2017). "Connecting...

Word Count : 13420

Gut microbiota

Last Update:

Janina A; Bindels, Laure B; Cani, Patrice D; Fahey, George; Goh, Yong Jun; Hamaker, Bruce; Martens, Eric C; Mills, David A; Rastal, Robert A; Vaughan, Elaine;...

Word Count : 13990

Tripod packing

Last Update:

Mathematical Society, pp. 25–33, doi:10.1090/conm/342/06128, MR 2065250 Hamaker, William; Stein, Sherman (1984), "Combinatorial packing of R 3 {\displaystyle...

Word Count : 1393

PDF Search Engine © AllGlobal.net