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It's not that β titanium is expensive, but that Xerox made advanced frames out of β titanium. One frame of Xerox only uses less than 10g of β titanium, but its price can buy several kilograms of β titanium, and the material cost accounts for less than one thousandth or even one ten thousandth of the selling price.
The advantages of pure titanium as a frame material are anti-allergy, corrosion resistance and light weight, but its material is soft and inelastic, so it is destined not to be used in styles with advanced design sense, and can only be made into styles with wider edges, while those with thinner edges can only be made into full frames to provide sufficient strength, while it is impossible to use pure titanium for frames with lighter design or some patented technologies. For example, Xerox's frames are very thin, and they are immediately deformed with pure titanium. Only β titanium with good elasticity and memory characteristics can be used. The density of β titanium is higher than that of pure titanium, but it can be very thin and provide enough strength, which is naturally lighter than that of pure titanium frames. Another example is MYKITA and ic! In Berlin, the unique screw-free connection of temples is a must. Their products are basically 0.5mm thick stainless steel sheets, and if they are inelastic soft pure titanium, they will be deformed.
In addition, Z titanium does not exist. "CHARMANT Z" is a brand of Chamonix Group. The so-called Chamonix Z titanium frame is actually the brand titanium frame of Chamonix Z. If you don't believe me, you can go to Chamonix official website: http://www.charmant.fr/GmbH/anglais/, click on the brand list at the bottom right, and you will see CHARMANT Z and CHARMANT juxtaposed.
I want to say that the material of the frame is not very important, but the brand and design are the most important. These two conditions are important not because of the price, but because the brand concept meets your expectations and the design meets your face and temperament.