### Abstract

Eighteen bulk metallic glasses (BMGs) with critical diameters over ∼15 mm in Pd-, Zr-, Mg-, Y-, La-, Pt- and Ca-based multicomponent alloys were analyzed for their mole fractions of compositions with Golden Mean (φ{symbol} ∼ 1.618). The results proved that the 18 BMG compositions are describable with mφ{symbol}^{-n} or mΦ^{-n} where Φ^{-n} is φ{symbol}^{-(n+1)} plus φ{symbol}^{-(n-1)} and m and n are positive integers. The maximum difference in fractions between the analyzed and experimental compositions was 0.038. The irrational nature of φ{symbol} makes the compositions of the 18 BMGs different from those of the stoichiometric intermetallic compounds and near eutectic compositions, leading to the high glass-forming ability. The possible prototypes of the 18 BMGs have the ability to form critically-percolated local atomic arrangements for both Metal-Metal and Metal-Metalloid types of BMGs. Golden Mean analysis provides a new alloy design for fractions of alloying elements owing to its irrationality.

Original language | English |
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Pages (from-to) | 696-703 |

Number of pages | 8 |

Journal | Intermetallics |

Volume | 17 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2009 Sep 1 |

### Keywords

- B. Alloy design
- B. Glasses, metallic
- E. Phase diagram, prediction
- E. Phase stability, prediction

### ASJC Scopus subject areas

- Chemistry(all)
- Mechanics of Materials
- Mechanical Engineering
- Metals and Alloys
- Materials Chemistry

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## Cite this

*Intermetallics*,

*17*(9), 696-703. https://doi.org/10.1016/j.intermet.2009.02.006