Theoretical Calculation of the Polytypism Transition Temperature of Titanium Alloys on the Valence Electron Level

2012 ◽  
Vol 152-154 ◽  
pp. 342-347
Author(s):  
Hua Qu ◽  
Wei Dong Liu

Based on the polytypism transition temperature(PPT) of pure titanium, the the empirical electron theory of solids and molecules(EET) and the basic theory of the phase transformation of titanium alloys, a new method to calculate the PTT of titanium alloys is put forward after calculating the valence electron structure(VES) parameter nA which is the covalence electron pairs on the strongest bond of alloy phases, the crystal cell weight of  and  phases in the structure, the compensation coefficient of the phase and the temperature coefficient of  stable element. After calculating the PTT of some common titanium alloys, we find that the theoretical values are consistent with the experimental ones, so it is feasible to calculate the polytypism transition temperature of the titanium alloys on the covalence electron level.

2011 ◽  
Vol 299-300 ◽  
pp. 592-595
Author(s):  
Hua Qu ◽  
Wei Dong Liu

Based on the empirical electron theory of solids and molecules and the basic theory of the phase transformation of titanium alloys, a new method to calculate β transition temperature of titanium alloys is put forward after calculating the valence electron structure(VES) parameternAwhich is the covalence electron pairs on the strongest bond of alloy phases, the crystal cell weight of a and b phases in the structure, the compensation coefficient of the phase and the temperature coefficient of b stable element. After calculating we find β transition temperature of Ti-6Al-4V is 974.9 °C, the error of the theoretical calculation value and the experimental one(995 °C) is 2%, so it is feasible to calculate β transition temperature of the titanium alloys from covalence electron level.


2011 ◽  
Vol 311-313 ◽  
pp. 758-763
Author(s):  
Chang Tian ◽  
Rui Chun Wang ◽  
Run Xia Li ◽  
Rong De Li

Based on Empirical Electron Theory in solid (EET) and Bond Length Difference (BLD) the valence electron structures of precipitates in AlCu alloy during aging process were calculated. The results show that the different phase structure factors explain the thermal stability of phases in θ sequence, and the tendency of atoms solution is corresponding with the phase transition during aging from valence electron structure levels, which reveals the inside causes of ageing hardening is closely related to the covalent electron pairs in some bond of the precipitations and matrix.


2017 ◽  
Vol 1142 ◽  
pp. 3-7
Author(s):  
Bo Cheng ◽  
Yun Kai Li ◽  
Gui Qin Hou

Empirical Electron Theory in Solids and Molecules (EET) was used to analyze the valence electron structure of ZrTiHfVNb, ZrTiHfVTa and ZrTiHfNbMo high-entropy alloys. The parameters characterizing the valence electron structure of high-entropy alloys were calculated, which were used to discuss the hardness and melting temperature of high-entropy alloys. The results show that the hardness of high-entropy alloys is positively correlated to the shared electron pair number in valence electron structure. The theoretical melting temperatures of high-entropy alloys were predicted by the parameters characterizing the valence electron structure.


2011 ◽  
Vol 299-300 ◽  
pp. 246-249
Author(s):  
Wei Hua Xue ◽  
Xin Ren ◽  
Zhi Yu Gao ◽  
Hai Fang Shi

Based on the empirical electron theory in solids and molecules (EET), the statistical value of phase structure formation factor (S') was calculated by using the calculation methods of statistical value of alloying valence electron structure parameters. The effects of alloying elements upon austenitic zone of Fe-C phase diagram were discussed. The results show that: 1) Mn and Ni can increase the S' value of γ-Fe and austenitic phase, which increase their stability, leading to expand the γ-zone; 2) Cr, Mo and Si can increase the S' value of ferrite and cementite, which make them easier to precipitate, leading to reduce γ-zone. The research results agree well with real situations.


2012 ◽  
Vol 152-154 ◽  
pp. 336-341
Author(s):  
Hua Qu ◽  
Wei Dong Liu

Based on the empirical electron theory of solids and molecules(EET) and valence electron theory of composition design of alloy, the valence electron structure(VES) of phases and phase interfaces of ZL203 are calculated in this paper, and the relationship between the VESs and mechanical properties are also studied. The results are as followed: 1) The of GP is bigger than of a, in other words, the resistance of dislocation movement in GP zone is bigger than that of in a matrix. 2) Compared with a matrix, the phases of q¢¢、q¢、q all have strengthening effects. From the bond combination of atoms composed in the strengthening phase of view, the strengthening effect of q is the best, that of q¢ is second, that of q¢¢ is the worst. 3) The precipitation sequence determined bynAis well accordance with that of depended on thermodynamics free energy. 4) The electron density difference Dr of a/GP, a/q" and a/q¢ interfaces increases one by one, and the stress of these interfaces also increases one by one, therefore the strength falls down one by one. 5) Combined with FSFs and ICFs, we can deduce that the best aging stage of ZL203 is the end of the precipitation of q¢¢ and the beginning of the precipitation of q¢.


2013 ◽  
Vol 20 (01) ◽  
pp. 1350005 ◽  
Author(s):  
XIAO-FENG TIAN ◽  
WEI-KE ZHANG ◽  
YU QI

Carbides of Fe3AlCxprecipitated from iron aluminides can strengthen the matrix; the empirical electron theory (EET) was applied to analyze the attribute of carbides in the paper, giving theoretical explanation on the matrix and precipitation. Valence electron structure (VES) of Fe3AlCxwas studied in detail, comparison with the iron aluminides matrix, the hard and brittle phase of Fe3AlCxcan be interpreted form the viewpoint of valence electron structure.


2011 ◽  
Vol 306-307 ◽  
pp. 438-442
Author(s):  
Hua Qu ◽  
Wei Dong Liu

Based on the empirical electron theory of solids and molecules theory(EET), the valence electron structures(VESs) of the strengthening phases Al3Fe and Al6Fe in Al-Fe alloy are calculated, then the stability of Al3Fe and Al6Fe, the precipitated sequence under the non-equilibrium solidification, the phase transition during aging and the effects of alloy elements are discussed. The results show that the values of covalent electron pairs on the strongest bondn1, the total forming bond abilityF, and the number of atom state groupσNof Al3Fe and Al6Fe are bigger than that of Mg17Al12 and Mg2Si, so the stability of Al3Fe and Al6Fe is better. The total forming bond ability of Al6Fe is far smaller than that of Al3Fe, so Al6Fe generates first under the equilibrium solidification. The strongest bond of Al6Fe is weaker than that of Al3Fe, so Al6Fe is easy to be broken up and form the more stable Al3Fe finally during aging. The addition of alloy elements changes the VES of Al6Fe and makes its values ofF,σNandn1increased, the stability of Al6Fe is strengthened too, which delays the Al6Fe→Al3Fe transition and improves the transition temperature.


2013 ◽  
Vol 706-708 ◽  
pp. 238-243 ◽  
Author(s):  
Tao Tao Fan ◽  
Wen Kai Xiao ◽  
Liang Li ◽  
Si Lan ◽  
Xiao Tuo Li

Based on empirical electron theory of solid and molecule (EET, Empirical Electron Theory of Solids and Molecules) ,this paper calculated the Cr1 – xMxN molecular coating’s valence electron structure of the phase space and the valence electron structure of coating matrix phase out of phase interface. By analysing microscopic valence electron structure, we discussed the alloy elements’ influence on this series of coatings’ resistance. And we found that V elements can significantly increase the metal chromium nitride’s were resistance , element Ti takes the second place, element Al also has some effect.


2007 ◽  
Vol 353-358 ◽  
pp. 2998-3001 ◽  
Author(s):  
Li Li ◽  
Bin Xu ◽  
Mu Sen Li ◽  
Jian Hong Gong

Large numbers of experimental results show that carbides Me3C (Me means Fe, Ni, Co, Mn) are the primary carbon source to form diamond structure under the high temperature and high pressure (HPHT). In this paper, based on the empirical electron theory of solids and molecules (EET), the valence electron structure (VES) and interface structure factors of diamond and various carbides are calculated, and the boundary condition of electron movement in the improved Thomas- Fermi-Dirac theory by Cheng (TFDC) is applied to the carbide/diamond interfaces. It is found that the electron density of crystal plane in Me3C formed by C-C bonds is continuous with that in diamond at the first order of approximation. Compared with Ni-based carbides [Ni3C, (NiMn)3C)], the electron density difference of Fe-based carbides [Fe3C, (FeNi)3C, (FeMn)3C]/diamond interfaces is lower, and that of (FeNi)3C/diamond interface is minimum. The results show that the energy needed to transform carbon atomic groups into diamond structure is lower for Fe-based carbides than Ni-based carbides.


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