Critical state soil mechanics

The Hume-Rothery rules, named after William Hume-Rothery, are a set of basic rules describing the conditions under which an element could dissolve in a metal, forming a solid solution. There are two sets of rules, one which refers to substitutional solid solutions, and another which refers to interstitial solid solutions.

Substitutional Solid Solution Rules

For substitutional solid solutions, the Hume-Rothery rules are:

1. The atomic radii of the solute and solvent atoms must differ by no more than 15%:

$\%{\mbox{ difference}}=\left({\frac {r_{solute}-r_{solvent}}{r_{solvent}}}\right)\times 100\leq 15\%.$

2. The crystal structures of solute and solvent must match.

3. Complete solubility occurs when the solvent and solute have the same valency. A metal will dissolve a metal of higher valency to a greater extent than one of lower valency.

4. The solute and solvent should have similar electronegativity. If the electronegativity difference is too great, the metals will tend to form intermetallic compounds instead of solid solutions.

Interstitial Solid Solution Rules

For interstitial solid solutions, the Hume-Rothery rules are:

1. Solute atoms must be smaller than the interstitial sites in the solvent lattice.

2. The solute and solvent should have similar electronegativity.

Notes

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

References

• Template:Cite web

Further reading

• 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.
  
  My blog: http://www.primaboinca.com/view_profile.php?userid=5889534